I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS...

164
'\ '! ., :_J J \ ··:I 'J .. . \ I I• ., .. , I I - ' of Design Practice at the Iowa State Highway Commission for the Determination of Peak Discharges at Bridges and Cu Ive rts A.· E. 526 Ron Rossmiller q Winter, 1971 .J

Transcript of I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS...

Page 1: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

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:_J J

\

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I• .,

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~volution of Design Practice

at the

Iowa State Highway Commission

for the

Determination of Peak Discharges

at

Bridges and Cu Ive rts

A.· E. 526

Ron Rossmiller

q

Winter, 1971

.J

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I

Evolution of Design Practice

at th~

Iowa State Highway Commission

for the

Determination of Peak Discharges

at

Bridges and culverts

A.E •. 526

Ron Rossmiller

...,_ Winter 1971

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CONTENTS

Page

. I Int~oduction • • • • • • ~ • • • • • .1

/ The/ Talbot Formula • • • • • • • 1

J Iowa Chart No. 1 I

4

. !

Bulletin No. 1 • • • 0 • ~• • . . . . .. ~ 10 . -~·

:Sul le tin No. 7 _.,. ,, • • 0 ~ • & $ e 0 G e • • • • • • • & • 14

U.S.G.S. Interim Report 0 • • • • • • • • • c • • • 18

BuL.Letin No. 28 • • o o ~ • • • • o o e • ~ •" 30

Bulletin No. 13 31

Bulletin No. 15 42

Example 1 - Normal . .. .49

Example 2 - Outlier . . . . . . . . . . . . . . . 50

Example 3 - Short Period of Record . . . . . . . . . . 52

Example 4 - Long Record but no Major Floods . . . . . 53

Example 5 - Length of Record . . " . . . . . . 0 . . . 54

Example 6 - Ungaged Basin . . . . . . 56

Example 7 variability of Skew Coefficient 58

Conclusion • • • • • • • • • e • • • • 60

' Appendix A - Paper by Prof. A~ N. Talbot 65

Appendix B - Cedar River • 0 • • • • • 0 • • • • • 75

Appendix C - Pine Creek • • • • 0 • 0 0 • • • • • • • 85

Appendix n· Skunk River ' ' "'"• ·--• • • 0 95

Appendix E Skunk River . . . . ' . . . . . . . 100

Appendix F Big Sioux River . •. 108

Appendix G - Brewer Creek 126

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;,

" :j

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ILLUSTRATIONS

iigu~e 1. Culvert size ~etermination for the Talbot Formula .

2. Peak rates or runoff

3.

4.

5.

6.

7 .

Rainfall factors

Iowa Chart No. 1

Frequency of annual floods, Skunk River near Ames, Iowa

Regional boun°daries in Iowa

Composite curve

8. Relation of mean annual flood to drainage area .

.• • • 0

Page

5

7

8

9

13

15

15

16

9. Drainage area index map of story county 19

10. Discharge correlation

11. Preliminary frequency curve

12. Homogeneity test . . . 13. Regional long term frequency curves

14. Map of Iowa showing regions for use of 11 MAF 11 vs 11 DA 11 curves ••

15. Map showing ~ones for use of tabulated

24

24

24

27

28

11 ratio to MAF 11 vs 11 recurrance interval 11 29

16. Map of Iowa showing index flood areas A and B, and flood-frequency regions I & II 32

17. Regional flood frequency curves for Iowa. 33

18. Isohyetal map of Iowa -normal. annual precipitation- . . . 34

19. Graph of solution of A.856 for area A 36

20. Graph of solution of s .806 for A 37 area

21. Graph of Solution of • 707

for 38 A . area B

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Figure 22.

/ 23.

) 24.

f

Table 1.

2.

3 .

4.

5.

6.

7.

8.

.g.

10.

·:: .11.

12.

·.;.

Grap}) of solution o:I; .367

for s area B . . Slope and normal precipitation data for Winnebago, North Skunk, and Skunk Rivers.

Regional Curve for Q5o . . . . . . . . .

TABLES

values of c in the Talbot Formula . . . Areas drained by culve.rts of various diameters . . . . . . . . . . . . . .

!

Skunk River near Ames, Iowa . . . Skunk River near Ames, Iowa continued

Drainage areas of Iowa streams, Story Courity . • . • • • • • • • • . . • • • •

Data for homogeneity test

Tabulation of flood data

Plotting positions for median flood ratios

values of 0.000009856P3

•926

Symbols used in log-Pearson Type III Method . . . . . . . . . . . . . . . . . K values for positive skew coefficients

K values for negative skew coefficients

Page

39

40

63

Page

4

5

11

12

20

23

24

25

35

45

46

47

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INTRODUCTION

The game is called "Pick a Number." Any number of

people can pl~y it. The game ~egins by one player saying,

"Interstate 35 will cross the Skunk River. What discharge

should we use for the design of the bridge?" The rest of

.the players come up with a variety of answers. Who is

right and who is wrong? Or is anyone right? Or is anyone

wrong? Hydrolog~ is.still an art rather th~n a science.

This paper carries the rather weighty title of

"Evolution of Design Practice at the Iowa State Highway

Commission for the Determination· of Peak Discharges at

.Bridges and Culverts." Hopefully, this evolving process

will iead to a more precise definition of a peak rate of

runoff for a selected recurrance interval at a part.icular

site.

In this paper the author will relate where the

Highway Commission has been, is now, and will be goi:µg in

this art of hydrology. ..

He will then offer some examples

at a few sites in Iowa to illustrate the use of the various

· methods. Finally, he will look ahead to some of the pit-

falls still lying in wait for us.

THE TALBOT FORMULA

When the author first became aware of the Talbot

rL.

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2

Formula, he thought it crude and at best, a bad approxima-

tion. He looked upon those who still used this formula as

the basis for sizing structures as old-fashioned and out

of date.. Today we have modern and sophisticated methods

of determining structure size and shape using hydrologic

and hydraulic principle~ and techniques.

Yet,- when the author read and reread Professor

Talbot's original paper, he was struck by the thought that

yes, the method is old-fashioned and out of date. When

the paper was written in 1887, almost a century ago, the

art of hydrolo~y was barely into its infancy. But more.

importantly, the principles he enumerated then are those we

still live with today. The v~riables he listed then ~re

the ones that still plague us today. The data and records

he asked for then are the data and records we are still

asking for today.

lj.

l Most important of all, though, was his recognition of

the basic problem facing the design engineer - the need to

make a decision, now. How large a structure shall be buil·t

at this particular location. No time to study th~ problem

at length; no time for research. Now. Not too large - it

will be too expensive. Not too small - it may wash out,

For this, the design engineer needs_a tool which is quick,

easy to use, and yields good resuits. And what a tool

Professor Talbot gave us. a=C(A)0.75

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r_ ...... .,~·~· ·-----l

3

Crude - yes, but consider this. On the primary and

. I secondary road system in Iowa, more than a quarter million

. . I culverts and small bridges existing today were designed

J ' usiiri.g the Talbot Formula. Most are still ·serving us faith-

/

fully today.

This formula was the basis ·for de~gn of all the small

bridges and culverts at the Highway Commission until the

early 1950s. To this day, some of the County Engineers ih

Iowa use the Talbot Formula exclusively as the basis for

design. Because of this, his paper is a part of our history

and has been respectfully included in this paper as

Appendix A.

a=C(A)0.75

a = area of waterway in square feet

A drainage area in acres

C =A coefficient based upon land use, ·type of terrain,

and shape of watershed1

Professor Talbot's comments on the value of C are to be

found on page 4 of his paper.· Subsequent useage has expanded

his comments to the values 6~ C shown in Table 1. various

graphs and tables have also been developed to simplify the

use of the formula. Figure 1 and Table. 2 are examples of

these.

lA.N. Talbot, "The Determination of Water-way for Bridges and Culverts, 1887, p-17.

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.-.·.::

I '

c = 1,

c = 2/3 t

c = 1/2,

c = 1/3,

c = 1/5,

Table 1.

4

for steep and rocky ground with abrupt slopes for rough hill country of moderate slopes for uneven valleys, very wide as compared to length for rolling agricultural country where the length of valley is three or four times the width for level district not affected by SnOW·Or severe floods. For still milder conditions or for s ubdr a in e.d lands, decrease c as much ~s 50%; ~ut incre~se C for steep side slopes or where the upper part of the valley has a much greater fall than the channel of the cul ve.rt.

values of c in . 2

the Talbot Formula

Talbot's coefficients are based on a velocity of ten

feet p~r second and roughtly fit a 10-yr. flood in the

~iddle West. 3

.. IOWA CHART NO • 1

.In August, 1951, the. Bureau of Public Roads published

Hydrauiic Information Circular No. 1. 4 Figure 1 in this

circular was entitled "Peak.Rates of Runoff from Small

·Watersheds" and was based on statistical anaiyses of actual

records of runoff on small agriculturai watersheds described

2Handbook.of Steel Dr~~ & Highway_ construction Products (New York: American Iron & Steel Institute, 1967), p-91.

3Ray K; Linsley, Max A. Kohler and ~ied Hydrology (New York: 1949) / p-574 .

Joseph L. ·Paulhus, McGraw-Hill Book Co., Inc.,

. 4Basic Principles of Highway Drainage: Hydraulic Information Circular No. 1, Bureau of Public Roads, 1951.

-- ---.. -~ ... ~ .....

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' ' -·~

'.

6

' 5 by Potter. This figure was subsequently published as

. . . .

figures 1021.10 and 1.021. 11 (See Figures 2 and 3) •

This work by Potter was published in 1950 ·and outlined

the procedures used in deriving these peak runoff rates.

· The data was analyzed using the theory of extreme values

developed by Gumbel and discharges were obtained for a

10-yr. recurrance interval .

. Since· these Qs were obtained from short-term records,

Potter applied three normalcy tests to the rainfall data to

¢1.etermine if they were representative of a long term period.

T.he three tests of rainfall selected were:

(l} comparisons of monthly and annual amounts of rainfall~

.(2) comparisons of maximum average rainfall intensities for

various time intervals; and (3) comparisons of monthly and

'annual number of excessive storms.

If these tests proved the rainfall to be abnormal, a

correction was applied to the peak rate for a 10-yr. recur-

·ranee interval. These corrected peak rates were then plotted

.· against drainage area on log-log-paper. Using this curve in

conjunction with the probability curves developed at each

station yielded the peak rate for any size watershed for any

de~ired recurrance interval.

5 . W. D .. Potter, . "Surface Runoff from Small Agricultural

Watersheds, "Research Report No~ 11-B, Highway Research Board, 1950.

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I I ' I I I I I I I I I I I 0 ! :

sv 1

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(\! ' . 0J .. -t ill co () 0 0 0 0 0 0 .:·. . . . . ; .

" • ... (\J \r) V (0 CO 0 ' . . . ·, • .. ._."DRAINAGE- AREA~ ACRES ... . . ... ·, .. ..

·'·. · .. . · . . . . . ·: ... · ... . -- ··- ----~-..... , ·~-- ................ , ... ~ .. ---·---........ \

.. . '•• . •, ... . ; ..... : -. .. . ~ .,., .. . . ' .. ,,,,,•' I',,,, __ , ___ .,.·-·~- .. , .. '"'',,""••" __ .. ; _______ .__,-·---" -~···---------.'_,.,,,, __ . -.-· --. ·-

Page 15: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

10

Since the Highway Conunission normally designs on a

50-yro recurrance interval, the c:urve was changed to re-

fleet this and the curve was also extended to 10,000 acres.

This revised curve is referred to as Iowa Chart No. 1 (See

Figure 4)o

BULLETIN No. 1

6 Bulletin No. 1 was published in April, 1953. This was

the first attempt to present this type of information for

.. -·~ large drainage areas in an easy to· use form which was based· ..

on a statistical analysis of streamflow records~

· .. 58 gaging stations with drainage areas of over 100 square

·miles were utilized in this study using a base period .of 1918-

1950. Using Gumbel's Theory of Extreme Values, a frequency-

discharge curve was drawn on a special graph paper developed by

.Powell. Th.is curve, along with the basic data, was developed

for each station. A typical example is shown as Tables 3 and

4 and Figure 5 for the Skunk River near ~mes.

The data was. then used to formulate a series of regional

curves based on a method developed by ·Dalrymple. This method

will be described in detail later in this paper but it con-

sists of four general steps.

1. Select a base period applicable to the records of a region.

·6 . R.H. Schw'ob, Iowa Floods, Magnitude and F~equency; Iowa

Highway Research Board Bulletin No. 1, 1953 •.

Page 16: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

IC::f ~-"'"""'-~-·ec-~."~'·""-•~··'""~"~""'"'~-"'-· ... , ~,,,,. ······-· · .• , ~ .•.. ·~· I . · ,-, -11 · ·· ·

•·. i.;;,,.;:.

·-·. _:

... 1· '1.· · j_7 ; __ .. :. · • ..:c::--'·· ~~.:_ ....... ~-·· '· ... --- - .. -- - . ··- - · ...... - .. - . - - ~-:. --~ __ - - ---- --···

I I·· I

t.l !.· . ·' - : .. 21·. Skunk River near· Ames) Io1rn· .

,. 1 .

1

1 1 1· l'

.. 1.

. ,.i'_· ,. '

1 .

.

11 ~

1 .

.

...

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'1 -.J • • .. L Ll2~0"''0c" l ~ 9,; 0 3-'0'';,·:· S\\' 1/. ,· 2n ··r 81N .R 2;. \·\;. jocat10,1.- at. r ·r o , on0 . .) I '- , 1n /'~ _cc . . :J, • ., • r .,

. / on left bank 2,0 miles north of Ames, 3Yi miles· do_wnstrcam from Keigley

. /: . Branch, and? n_1ilcs upstream from Squaw Creek. . . ·: ~ c··- ..

~):ainagc area.-320 sq. mi. ·· · · - ' · ·

· .... _ Gnge,:._-'\'ater~stagc. recorder and conc.rcte coritrol at Pi~~c~t site ~incc July 21, · : /. · 1934. Datum of gage is 893.6 ft. abo\'C mean sea level, datum of 1929 (IO\;'a

•. 1

. Highway Commi~sion b-::nch mark). Ji.ily 28, 1920, to Aug. 24, 1921, inclined : staff gage at S<1;me site and datum. · A1ig. 25, 1921, to Aug. 5, 1927, :l\fareh 31,

. ,

..

. • - I

1933, to"Jul)' 20, 1934, water-stage recorder at sa1,1~c site and datum. .

Stage-discharge rebtion.-Defined by current-meter measurements below 6,000 ._ .. cfs; cxlcndccl abo\'.C by logari_thmic plotting.

Rcmarl~s'.-Base for partial-duration series, 1,500 cfs.

F1oocf rnagnitudc and frequ~ncy·d?.ta_

. . · 1~,,: ,;,,,,,, .. . Annun1 floods Partiul-durntion series

Discharge Date . (feet) (cfs) I Reeu rrence ! Recurn;nce

Order interY:i! Order interval . . :· . . . (l\I) · (ye~r;) (l\l) (years)

-1921 Sept. 17

-9.2 3,540 6 4.50 6 4.17

•. -1922 Feb. 23 9.0 3,370 9· ·3.00 10 2.50

-. Apr. 12. 6.0 1,640. .42 .60 ·July .16 6.1 l,690 40 .62

:

1923 Mar. 28 6.2 . 1,670 24 1.12 41 .61 Sept. 28 6.0 1,640 .. 43 .58

.. 1924 Mar. 30 6.3 1,800 ·33 .66

- ····June 28 8.2 3,010 12 2.25 14 l.79 .. Aug. 9 6.0 l,640 44 .57. . ·. ,

1925 Aug. 7 5.0 .: ·l,130 26 l.Q.1 . 1926 Sc1it, 8

: 6.5 . -l,900 35 .7i

~.Sept. 19 - 8.3 3,120 10 2.70 11 2.27 . - .. - - . -1927 -Feb, 5 7.4 .· .2.460 18 1.50 24 1.04· ...

.. .. -· .. - -

· · 1930 Nov. 24 I ; 5,230 -1 3 I -9.00

.. ··· 1933 Apr. l . ~ ..

1934 Jan. 22

1935 Feb. 15 - Mar. 5

June 19 ··June 25

July 2-1

..

1936 Mar. 10 ·

"'.

• ".I ...•

. . . ; . -···· ·- ....... - ----. ---.: ..

._,.-

6.5

5.4

9.0 6.5 8.4 . 7.0

7.7

1,990

. 1,300

2,490 3,490 l,9oo· 2,950 2,190

2,seo

. . .

23

25

7

16

1.17

l.03

3.86

l.69.

.· Tah/e. 3.

.. ":

-·--- -· - ... ---·-·· -·-···-···------------

23 7

36 15 29

21

1.09 3.57

.69 l.67 .86

1.19

· .

.·-:-.. -·: .....

.. , .

....

. .

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..

~ . , .

. ~

. '

· ..

.·I I ' i

Page 17: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

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WI .T

&';\' 1.-0

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.. . ·· •.· Date ..

:. . . .t.

1937 Mar. 6

1938 llln): 4 May 17-Ji1ne 29·

1939 Illar. 13

19~0 Aug. 13

1941 Sept .. 8 :

1941 Nov. l 19,12 Scft· 14

19-13 June 16 · July 31

.- -1941 May 20

June 12

1945 !IIar . 16 . . ·May 22

.. . . Jui:!? 2 . .

1946 Feb. 5 '.Mar. 6

:. _..Mar. 13 -19-17 June 1

,-~June 4

.·- >: .. ' June 13 ·._June 23

. ·. June ~O

19-18 Feb .. .28 . 1'Iar". 19 ~.?lfor.. 27

1949 !lr"n~. 4 .. --·--· . . 1950 Mar. 7

'May 5 ?llny 9 June· 9 June 18

. . ..

... -

- ----.

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. - ··-·-:-- -_:~. - .

. ~ . : : .. --:- -

. ...

~ ~-~ -· .· ----------·--"·-- ----:----

I :.::

r ·r

.• ..

/ . . .-·12 : .·

. flood rnagr1itudc and frcqucncf datu-cociti~rned

Go go hol~h•I 'Di;oh0<g; (feet) (ds)

Annua1 flo9cls ·1· Partinl-cl~tration scri~s

! Recurrence · ! Recurrence Order in ten al Order interrnl (ill) (yum) {;\[) · (years)

8.3 6.5 5.8

. . 1:3

8:6

. 5.9 8.1

.·6.5 10.3

13.9 8.0;

6.3 7.7 9.7

7.1 5.9 5.9

8.2 8.2

12.0 10.8

6.4

5.8 7.4 7.3

8.9 6.0 7.0 5.B 6.6

·.:

2,000

2,890 1,880 l,5c1Q

2,800

2,320 . .

3,050 --

1,630 2,530

1,910 4,500

. 8,060 .-2",840

4-;..· ~

. 1,800" 2,620 4,010

.

2,270 1,600 1,610_

3,480 3,110 5,90:) 4,920 l,950

1,590 2,400 2,380,

2,700

3,420 1,6~0 2,190 1,510 1,960

22

13

14

20

11

17

4

1

·.S

21

2

19

15

8

. ..

.

1.23

2.08

1.93

1.35

2.46

l".59 . 6.75

27.00

5.40

1.29

13.50

1.42

1.80

3.38

. .·.· '. _~Ta6/e~- Li.

31

16 37 50

18

27 . 13.

46 22

. 3-1 4

.-1 17

39 20

5

28 "rn 47

8 12

2 3

33

49 25 26

-19

9 45 30 51 32

. ·- . --·----------------- ___ , ___________ --

------------ -----·

0.81

1.56 .63 .so

1.39 .

.93

1.92

.54 - 1.14

.74 6.25,.

·25.00 . 1.47 ·:::

.61 l.25 5.00 . .

.89

.52

.53 .. .. 3.12 2.03

12.50 8.33

.76

.SJ . 1.00

.9.6 . 1.32

2.78 .56 . .83 A9 .78

I.

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Page 18: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

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-·· ·;_ . ·_ ._ .. _ .. · 5 Recurrence _in!ervat; in ycus

-· ... '.·F.ICURE o. Frcquc~cy. or annual floocl's, Skunk T:.i\"Cf near ]:mes: Iowa. --_-:.:. ___ :_-.·. . .

~ ,

: .

I~

·.· . ,- ....

-1. .•

...........

.•..

. .

.... ·-~- .. ~ . . . . ~- ;_

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. . . -- ··--------- --··.--

•: ... ·.

' -

Page 19: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

14

2. Test the homogeneity of the records to be usedo

. .

3. combine the homogeneous records to produce a composit~ l . . . /frequency curveo

4. I Correlate the mean annual flood with a characteristic of ·

· 1

the region o

The results of the regionalization· are shown in Figures

6, 7, and 8.

The bulletin then outlines five steps necessary to obtain

a discharge for a particular recurrance interval and drainage

.area.

1. Determine the drainage area for the selected site from the

best map available.·

2. Determine from the map of Figure 6 the lettered region

(A-H) within which the site lies.

3. From Figure 8, using the curve lettered the same as the

region determined in 2, obtain the mean annual flood for

the drainage area that has been measured.

4. From the composite curve of Figure 7, select the ratio

corresponding to t~e desired recurrance interval$

5. Multiply the values obtained:in 3 and 4 - this is the flood

sought.

BULLETIN No. 7

In December of 1957, Bulletin No. 7 was published. The

need for this information is expressed quite well in the intro-

duction to this bulletin.

Page 20: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

!· ~; - ·-

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Recurr~ncc in~~rYJf1 in ye~rs

- " . •. . . 7 _ . :· ---_---,,_:: .. ___ }:~~~1n: fl. Corn.ro;;itc 'cur\'c. · ·

-. .· •.

Page 21: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

I

~.•

.

.

-· . f'] ~w .

~ . '

~~ I ~-;

I l.J:~~

@ "·i.

~ . .

~ . · ..

~ .

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. 10

'---- l __:_ I . ~ -T 1 · T ~-I I ---, ,v ,.l'.·7 1-1 ---'"

', 0

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() 1918-50 rw;ird. - >--'- - -~~

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'-'- c~ .short.·ter;;necord

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· .. - . Drain8;;<) area, squ?.re miles -· -- .. --- -· .. ll. ---· D·H ··- ------ ------ -··- -·----.J'ic;un~ n. Ji.cbtion of nlC:\t! annt1aJ flood to draina~C area . . . ·, .. ·.

. . ·· ... :. .

·-- -~---·-~-~:..-• .... :. ·-'-· .• .. -------··--·--.

....

-.

Page 22: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

.. 1.7

One of the most important factors in the hydrologic

computation for the design of structures on or over water-

.courses is the dra{nage area upstream from the point under

consideration. other hydrologic studies such as low-flow,

flood-frequency analisis, rainfall-runoff correlations,

stream density, and area-distance make use. of this factor as

a basic premise for computation. In order that the drainage

area information of the interior streams of Iowa be of uni-

form accuracy and available to all users of these data, this

report has been compiled, and the drainage areas of all

stieams in excess of 5 square miles are listed. For the

larger streams, drainage areas have been determined at num­

erous intermediate points.7

These individual drainage area~ were calculated in the

following manner. First the area of the entire state was

v~ry carefully determined to be 56,239 squaie miles. This

figure was independently checked by a summation of the areas

:of the 99 counties. Drainage areas were outlined on county

soil maps using aerial photos, quadrangle sheets, and county

·drainage maps. These maps were then checked by the county

engineers and all changes made by them were incorporated into

the final outlines on the soil maps.

Drainage areas were computed on a county basis. The

. 7 . · o. J. Larimer, Drainage Areas of State Streams: Iowa Highway

Research Board Bulletin No. 7, 1957. ·

Page 23: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

18

large drainage basins were planimetered and adjusted to the

area of the county. . . j . . .

drainage basins were

. sum /of all the small

. / These individual i ' .

The smaller areas within the larger

then measured and adjusted so that the

areas equalled the larger area •

drainage areas i~ each county were then

·indexed and tabulated as shown for Story County in Figure 9

and Table 9.

USGS IN1~RIM REPORT-

The Interim Report is based upon a method outlined in a

paper written by Tate Dalrymple in 1949. In this paper he

presents a method whereby gaging station records are analyzed

and the results presented in such a way that the point data

at the gaging station is adapted to apply over a basin or a

region. This determination of regional flood frequencies is

based upon a 15 step procedure which is ~s follows.

Step 1. Tabulate flood data for all gaging stations in the

region having a record of about five years or more,

List the maximum annual flood.

This tabulation is contained in Part II of Bulletin No.

28.8

It contains the records of 147 gaging stations in

Iowa, listing them as a partial duration series. From

this listing the maximum annual floods can be obtained. The

8Harlan H. Schwob, Magnitude and Frequency of Iowa Floods:

Iowa Highway Research Board Bulletin- No. 28, Part II, 1966.

Page 24: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

f') ~-k:] ·~··

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· .. · .. ·.. .... 9 . . . ·,-:.. ·.:: :::7· .-_---~.Figure fJ. 'Drainage orco index map or Story (OL'••l)', Iowa .

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Page 25: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

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Page 26: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

21

drainage areas range in size from 0.3 to 14,000 square

miles.

I Step 2 ~eview the station history and make a careful study

) of

0

the stage-discharge relationship.

! The goal here is to make .each record consistent within

itself and as accurate as all available data permit. A

common cause of inconsistency which requires earlier dis-

charges to be recomputed is due to more recent high water

discharge measurements which indicate that the originally

. 9 used rating curve was in error •

. Step 3. Select the base period for the study. Usually .this

will be the period of the longest record.

For this Interim Report, the period used.was 1916-1965.

Step 4. Compute the discharge figures for the missing years

for each station.

This can be done by means of a correlation curve based on

flood peaks. The peak discharge for a floodpeak at a

short-term station is plotted against the peak discharge

for the corresponding flood at the long-term station.

This curve can then be used to ·compute a discharge for

each of the missing years of record (See Figure 101.

Step 5. Number the floods for each station in order of magni­

tude, numbering the greatest flood 1.

Step 6. compute the recurrence intervals using the formula:

9 Tate Dalrymple, "Regional Flood Frequency," Research Report . No. 11-B, Highway Research Board, 1950.

.I

Page 27: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

I I

22

R. L = .· (N+l) /M where N is the number of years of record

and M·is the order number.

Step 7. Plot the discharge versus the recurrence interval and

draw the frequency curve to get the 2.33 and 10-yr. floods.

The points are plotted on a form developed by Powell for

analysis of flood frequencies by the Gumbel Method. A

best fit by eye line is drawn spanning the .. frequencies

from 2 thru 10 years (see figure 11).

Step 8. Test for homogeneity.

10

This requires a study of the 10-yr. Flood for each station.

The recurrenceinterval for an averaged flood (the calcula-. .

tions for this area shown on Table 6) are plotted against

the length of record at each·station as shown on Figure 12.

Dalrymple describes the reason for this test as follows:

Tentatively assume that each station represents a different sample from a single homogeneous record. If this is so,. then the recurrence intervals will not differ.among themselves by an amount greater than can be attributed to change. A figure has been set up to test·this supposition. It shows within what range.of recurrence intervals we can expect an estimate of a 10-yr. flood to be. The range, of course, is rather great with short records and as one would expect, the range narrows down with long records. If all points as listed above plot within ,the limits, we may reasonably conclude that the records are acceptably homogeneous.lo

Ibid., p-13.

Page 28: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

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Page 29: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

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Page 30: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

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Page 31: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

26

Step 9. · "List the annual f'loods in a block table for homoge-

neous stations, and record the mean annual, or 2.33

year flood (See Table 7) .

Step la. compute the.ratio of the annual flood to the

mean annual flood for.each year of actual record .

. This ratio is shown on the fourth line of data for each

station in Table 7.

Step 11. Tabulate the flood ratios, listing the ratios for

. . each order number on one line or in one column.

These ratios are shown in Table 8.

Step 12. Determine the median flood ratio for each order

number· and record the corresponding recurrence intervals.

(See Table 8).

Step 13. Plot the median flood ratios recurrence intervals

and draw the composite frequency curve. In general,

do not extrapolate above the 50~yr. freq~ency curve.

Step 14. Plot the mean ·annual floods versus drainage area.

Draw a curve, or curves, to show the relation applicable

for the region.

Step 15. Determine the flood frequency for any place in the

region from the curves of steps 13 and 14.

In the Interim Report, Step 13 has been shown as a table

in Figure 13. Step 14 has been drawn as a family of

I

Page 32: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

, , I:

_ ___,,,_~--.--........-.

Page 33: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

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Page 34: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

..

·'

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Page 35: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

30

straight.lines in Figure 13, Figure 14 gives the type of

terrain at the site to be used in determining the MAF.

Figure 15 gives the region to be used for the desired

recurrance interval.

BULLETIN NO. 28

Bulletin No. 28, which was published in July of 1965,

is the Interim Report carried one step further.11 Instead

·of correlating the MAF to one wat~rshed ch?racteristic,

drainage area, a regre~sion equation using multiple dorre-

lations was developed using a computer.

Three independent variables were finally selected:

area, slope, and precipitation.

A - Drainage area in squa~e miles

s - The main channel slope in feet per mile between

points 10 and 85 percent above the point of

interest. L is the length in miles measured along

·the main channel, and the upstream tributary with

the largest drainage area, to the divide.

P - The normal annual precipitation in inches over

the basin for the 1931 - 1960 period.

The regression equation using all 147 stations was

MAF = 0.000377A· 819s· 711P2 · 982 • The multiple correlation

llHarlan H. Schwob, Magnitude and Frequenct of Iowa Floods: Iowa Highway Research Board Bulletin No. 28, Part I, 1966.

Page 36: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

I

/

31

coefficient was 0.92 and the standard error of e~timate for

I the d~pendent variable was 41.4 percent. The above equation

( . did n'.ot predict the MAF equally well for the entire state.

Two )egions seemed to have different relations . . ( . . '

These two regions yielded.the following equations.

(A) MAF = 0.00000.9856A"856s.806p3.926

(B) MAF = 50.22A 0707s· 367 ·

For area A, the multiple correlation coefficient was 0.94

and the standard error of esfimate was 37.9 percent. For

·area B, these statistics were 0.94 and 30.4 percent.

Several tables and graphs have been developed to aid in

the 'solution of these equations. Figure 16 shows in which

regions of the state that equations A and B should be used.

Thi~ figure also shows which region (I or II) ds applicable

in determining the ratio to the MAF (see Figure 17). Figure

18 is used to determine the annual precipitation at the site.

~able 9 gives the solution to 0.000009856P 3 · 926 . Figures 19

thru 22 give the solution. to the other variables in the

equations. For drainage areas ·aver 700 square miles, graphs

similar to Figure 23 have been developed to determine P and

S. For areas under 700 square miles, S has to be determined

f~om a quadrangle map.

BULLETIN NO. 13

The purpose of Bulletin No. 13 was to describe the

various flow frequency methods most ·commonly used by federal

Page 37: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

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Page 38: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

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I Ratio 1o MAF 0.88 1.58 2.05 2.65 3.10

n. Ratio to M AF 0.83 1.85 2.55 3.55 4.50

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Recurrence inf ervo I 1 in yea rs

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Page 39: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

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Page 40: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

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... . ·. .:... . ~~. . . ... ·.·<·TABLE [19. Values of o'.000009S5°G p 3 .o=-'G.in the reg~:es.sion cc~~~fion for area A . . .

. .· !2 ·.3 .4 ~5 _.6 . .8 ..9

3.13_3 ~.183 3.235 3.285 3.335 3.386 3.437 :3.'188 / .. · .... . -

3.539 .3.595 3.G52 3.708 3.7G4 3.820 3.877 3.934 3.991 4.o~rn

4.105 4.16_8. 4.231 4.2·9,1. 4.357 4.420 <1AS3 . 4.5-16. 4.610 .4.673 ._I. .

4.736 4.805 !1.874 4.943 5.013 5.083 5.1,53 . 5.223 5.293 . I . ·. r 5.363

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.. 5.433 5.510 5.58G 5.663 5.740 $.817 . 5.89-1 5.971 I 6.126

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6.204 6.290 .

6.37G 6.4G2 6.517 G.633 6!719 6.804 6.890 6.976

'i.OG2 . 7.155 .7,2,19 7.343 7.43G 7.530 7.62,1 7.717. 7.811 7.905 • .·. . ·o . . . · 1~ ... ·. ~- -~ .. 31

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9.022" 9.135 . . 9.248 '9.361 9.47:1 : . . 9.587

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., 10.15 · 10.21 10.39 10.51 10.62 10.74"

· 11.37 . 11.50 · 11.63 11.7G 11.89 . 12.02

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Page 41: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

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Page 42: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

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41

agencies at the present time.

This was accomplished by first reviewing basic statis­

ticjl principles. The application of these principles to . I

floyr frequency analysis was shovr.n by" tracing the historical

dejelopment of the various methods in. use todayQ Procedures I . ' ·and.items common to the several methods were discussed and

included types of data, time elements, probability paper,

transformation of data, plotting-position formulas, fitting

of frequency lines, outliers, historical events, discontinu-

ous records and estimation of missing record, compensation for

changed physical conditions, zero items of data, statis-

·tical test of significance, confidence limits and applica-

tions of frequency analysis.

Five methods currently in use were then descr"ibed in the

following manner. In the .following desc.ript:Lons each method

is presented in the words of its originator if he is known or a

typical proponent if the originator is not known. This is

done to give an idea of the reasoning used to justify the approach

taken in developing the·method. Each description is followed

12 by a suni.mary of current usage. The five ·'methods described

were the Hazen, Pearson Type III, Gumbel, gamma, and graphical

distribution-free methods.

12 Methods of Flow Frequency Analysis: Bulletin No. 13 1

Suhcommittee on Hydrology, Inter-Agency Comm{ttee on Water Resources, 1966. ·

Page 47: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

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42

BULLETIN NOG 15

The· purpose of this bulletin was stated in the forward

by Stewart L. Udall,. Chairman of the Water Resources Council

as follows:

With the growing· need for improved flood plain management, des·ireability of a basic, uniform method of establishing flood frequencies for general use throughout the Nation is manifest. A consistent approach to the est~mation of the average annual flood loss~s - a major analytical co~ponent in de­t.ermination of the best measure, or best combina­tion of measures, in flood plain management - is dependent upon equable analysis of flood frequencies whether determined by federal, state, local govern-ment or private engineers.13 · ·

With this in mind, the Hydrology Committee studied six

methods. Three fitted the data well and showed no bias~ The

recommended method is one of the thr'ee~ Based on their

studies~ the Committee made the following recommendations:

1. 'rbey agreed that the state of the art was such that complete standardization was not feasible or ap­propriate. A base method should be adopted with the provision that other methods can be used where justification is presented.

2. Based upon several items, the log-Pearson Type III distribution (with the log-normal as a special case) is recommended for adoption as a base method for flood frequencies.

3. Because of the importance of flood flow frequency estimates in the field of water resources develop­ment and programs for managing flood losses, member agencies are encouraged to improve techniques and procedures in this field.

13A uniform Technique for Determining Flood Flow Frequencies: Bulletin No. 15, Hydrology Committee, Water Resources Council,· 196 7.

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43

The bulletin concluded by di.scussing several additional

c~ns~&erations in flow-frequent analysis. These were short

. / record of flood flows, determining discharges for ungaged

· baslns, outliers, zero items of data, and the variability of I i .

the skew coefficient.

On the following p~ges is a description of the base method.

Page 49: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

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"45

Take K from Table 11 or Table 12 for the computed value of g and the sele·cted recurrence interval or percent chance.

•.Log Q is. the iogar i thm of a flood discharge ha:ving the same recurrence interval or percent chance.

. \ /

6. Find the antilog of log Q to get the flood discharge Q.l/ J

Tables of K Values

·Tables 11 and 12 were made from larger and more complete fables prepared by H. Leon Harter (Math~matical .Statistician, Wright-Patterson.Air Force Base) and th~_U.S. Soil Conservation Service. Copies of those tables are available, fre~ of charge, from the Central Technical Unit, .Soil Con~ervation Service, 269 Federal Center Building, Hyattsville, Md. 20782~

Y = arithmetic magnitude of an annual flood event .. x = logarithmic magnitude of y.

N = number of events in the record being used M =mean of the X's x =· X - M

S =standard deviation of the X's g = skew coefficient K = Pearson Type III coordinates expressed in number

of standard deviations from the mean for various recurrence intervals or percent chance

Q computed flood flow for a selected recurrence interval or precent.chance

Table lb, Symbols used in log-Pearson Type III Method

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... :. 2~·3 -0.867 .. · .-0;'350 .... -0.819 -0.739 -0.341 .. 0.555·.· ..... 'l.274.: ·,' .. 2.248 ..... 2.997 .. '-'·3~753 . ·. ·."4,515" ··~·)·:·.:. :···· . . . :: · .. · 2.2 -0.905 ·. · -0.882 ·.··-0.84lf . -0.752· .. ·.·-0,330 :• ·. 0,574···~·,.;·l.284·:.·· ... 2,2l10 : .:. 2.970 .,_:. 3.705 <.·'4,11l1L1 · ··.~·._'· .·.::·: 2.1 ·-0.94_6· ···.-0.9ll1·· . -0.869 ·=' -0.765 ;. -0.319- 0.59i, .:; 1.294 .. · .. 2.2:30 '. · .. 2.9L12·.-:> ·J.656. : 4.372 ·. ·~~.: . . '. .... 2.0 -0.990:. -0.%9 ··-0.895 -0.777. •··-0,307:

0

0.609··· .. :·L302.'-.· 2.219 ·, ·.'2,912· · ... 3.605·-:".'.:-· 11.298·.·.:.· '.·: · ... 1.9 ·-1.037 ·-.... 0.98l1 .-': -0.920 -0.788 ·. -o'.294 ·.··: 0.627 i.310 ':· · 2.207 . >2.·881 ·:. : "3,553 .. L1,22_3 ::,·.·_,.: ..

·. i.8 --1.087. '.-t.020 · · .. -0.9115 . ··-0.199 -o.2s·i.: ··.0.6l13 1.318··. ·· · 2,193 ·· i.8'18 .·-.·:-3,499·· .~ :·11.11,7. ·.:_·::o-..; .· l. 7 "-1.1110 -1.056 -0.970 -0.808 . -0.268· .. 0.660 ·l.3211. · .. '2.17~ 2.815 ·· ... 3,l1l14 ·: .. Li.069' :.:". ;:

·~ 1.6 -1.197 . -1.093 ·-0.99/f' :· .. ·-.0.817 .-0.25l1 •• ·0.675 1.329 ." .. '2.163 2.780 ..... 3.388 ;_. 3.990 · ..... 1.5 -L256··· .-1.131 .... i.013· -0.825- -:~o.21fo·~ .. 0.690 ~.333,.:· .·2.llfG··.:· 2.1tf3·:·:,· 3.330 · -:3~910 .:··: ::.:

·· t.l~ ... -LJ1s .. ·. -1..168 ':'l.041 ·· · -0.832 -0.2.25 ·. o.705 1.337 .' 2."12s. ". 2.706 ·: 3~271· ·. : 3.828 . · .. . l.3 .. i.~83 ·' ··-l.206 . •l.06!~ . -0.838. ···.-0.210 ··~0.719 · .. ··~·.·1.339 ~ '2·.103 ·.· 2.666 3·.211. : ... 3.71+5 .... ·: . l,2': ·-1.Mf9 .. · -1.2113 -1.086 · -0.8Lflf -0,195 0.732 · l.3lf0.· · 2,037 .'.. 2~626 ."· :.-3.1Lf9.,. ."· .·"3.661. · /:_~·:.·· .·· .. . 1.1. ·-1.51:8. '. -1.280 .. -1.107 -0.8l18 .. -0.180 0,7lf5" ... l.3L1l . 2.066 "· 2.585 . 3.087 .· .. _~3.S)S ·'·"· · .. : .... .

. ~ 1.0 -l',588 .;l.317 --L128 -0.852 ·. ·-0.16/f 0.758: l.Jl10, ··2.0l13. 2,5lf2. 3.022 .. · ... :.J.L1S9 ····:.'.·: .·. ·. · ,9 -1.660 ·. ·-1.353 -l.llf7 -0.85/f -0.1Lf3 0.769 ... 'l.339 .: 2.018. 2.lf98... 2,957 · .... ·3,L~Ol. i. _,,.; .

. 3 ·-1.733.:. -1.388 .. -1.16'6 .·-0.856. :' -0.132.' ·0.780 .. 1.336 •. •· .. 1.993 .. 2.453. · .. 2.891·:=·:··· ·3.312 ,,.,.' .. _::: · . • 7 -1.806 · -l.'f23 '·-l.°t83'. ··-0,8S7· ·. -0,116' •. 0.790 ".:' ·l.33J, ~·. :·t.967-·' · ·. 2.lf07 ._'_' .. 2.82Lf <' 3.223 . . >':.:·; '.: ·. ·:G -1.880· ::·l.458..:· .. ·-i.200··.· .. ·-0.857 ._.·: ... -0.099 :.:·· ... :0.800 ··:··.i.J2_s·.· .. ,··i.939·_.,· 2.359 -:·.-~: .. 2.155.:'.).).132.'.-.;.::_:_:·:·· .5 ~l .. 955 -1.491 . -1.216 .. -0.85~ ·.·-0.083_·: ... 0,808": :· ·l.32~ ·. :-"l.910·. :··2.311' ·."< 2.686 :·:3_.041.-'o'::.:.t· ...

· ·· ,'t. -2.029 ·-1·,524 .:.1.231 .. ·-0.855 · .. -0.066".·· ·· .. 0.816 _.:·. 1.317 ···:.:· i.s30··: ·:-:- 2.261·· .. :: 2.615 · .\::2.%9 : · .. 1.:. ·.J .:.2.101. ·-1.555 .·.: :.i.·2,15 · .. -o.853.;". ~:-0~050··.·· .. 0.82'1. :-:.-:·i.309 .· .... ··i.349>.···:>-: .. 2.211 '. ·2.s1ft··· .: .. · 2.85·6 ... :. ·:·'./" .. _;.

•• . . 2 -2.178 ;-1.586. -1.258 ·· .. 0.850:.--: -0.033··.-.:···::··a·.830 .. · .. :::··10·301 ···/·:.·.~.1.818 ;· ·:·~:::·2~159 .:··.· :·z.L~72 "::· ·2.763. :·=:·::·:./":: .·. · ·· . ".1 · -2.252 ;-1,616· · --i~27o" · ·-o;M6··.:::·.-o.01i.· ::··o.836·.-:··~.'.:;.1.·.292 .. · .. ·,,-1.785,:·_:-'"~:;2.107.·:. >. 2.1100 · .'·'.: 2.670 .......... ·.;· /·.: ·

0 -2.326 •!-l.6Lf5 .··-1.282 "·:-0~_8l12.-. ', 0 ':·:··:0.842 .. ._. ::··1.282 .·. 0

1.751 :·.··:2.054 .... ·2.326 ·: 2.576 .:··: :.·· ' •, • :.. . . ' . . • ' '. I' ·' . •, '. ::• \ ':· ' : •

' '• ·' ·'·· • • • .. '.'I." ':· .. . I :.·. • • ·.•·• ' ... . . . .... ·. .. ...

.. ·

. ..

!

Page 52: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

·w-;,.:~

-- ! . ~"::<:;) . r..: ·:·TI· !

I , .. ·. ~ ...:., . ., \.

'. ··· . .' . · ..... '·· . '• .

. ·;.. . . .·.· .. · ~· ' ..... .: : ":~ .•. ." .· >.: · .... : .. . . . . ·:. : " . " . ··. . . : . . -~··· . :·:.· .. ' ·. .. .... . < .' ; '.. .. ': : . . .·; < ·. . .... . ..... :.:_'·.· .. ·':". ·, ~" .. :·'.,_.: .. ·. ·< ... _:._. .. : :'.'. ..... • .. · ...... :.-~:-.! .: .

. . ·: . .. · ::: : _.· ·. · .. ';.· · . ...- · '; .'.·"~ .. _. .''. Tebfe . .12~ .. ~K values. for -~eg~t·~e sk~w: coefficients'.· :··~ ·" .. ~· .: ,',. ·>; :.;· .:.· ·;.'·.::·:· ;. :· .... '.": .. :" · ........ : .. \ ._' .. :· ~ . . ·. · / ·: · · ·. · .... ,/ ·,: <": . .' '.. '.' .... >' · Recurrence Interv•l ii, Y.eers . . .· . ,;::· \:: ;~:/>:::.· .. :.,\:': .·/~,::; ;: .. -.n; ·.:;:~Sk~w .. l.Olo~·:: .. ·:·i.o.52'6·.:· lillll 1.2soo.: 2· 5 10 25 ... · .. ·····.so···.·~'.·ioo· .. '.:,;·200 .. ·"' .. ,_ .. :.:: · Coefficient · ·· · : .. .. ··· '. · ·· .... ·.:·' ·. : :: .... ; · ' .·,·· .. <:_·.··::·_ .. < .. ·.·:·'.·:,:.'. ~\ ..

' , • • ' ' I , . ,•. ' . ". ;• .·, ' : ·.~• ·".; ~, ,'.•

(g) · ,. · . Percent Che:nce '. . · · . . · : : .. > ::·" . . .· , . · ,. 99 :;·:··95 ·- .. ~ ... 96 eo ·· so .20 ... ·.·'. io 4 ··· ~. ·.2 ·.· .. · 1<·:.·=: ... o . .s·· .. ·:·:"··(.,':{.

• , . . . . . . . . :· .'' ·.: . . ' ;> .<· .. :.<'.··: : . .:_::.: .... ··.: . ·i· o . .:..2,3·25· .. ·.;.l.645 · ·L282 :._'.o.842 o :.0.842 1.282 ·1.751. ·2.054 · ..... 2.326 ::-·· 2.576··"::._. .. ,:

.·: .1 . : ·-2.400 ..... -1.673. ':. -1.292•.·: -0.836 ;,, .. 0.017 0.846 .. 'l.270 .::-·. 'l.716 ·': ·" 2.000. ·"· ·2.252 ...... ;· 2.482 ·;:,:<::·.;·, '. .· ····~.- .2.·· .· -2.472· .. · -1.700.·~.:-i.301 ·-:_:"o.830 ·· .. 0.033 ... 0~350 .·" l.258 ... ··:.··l.680·~:· .. ·.-.l.945·::.:,, 2..l7a:-. ... ::::·2~388·:.·.:"'.·: <. l·: - .3 . -2.5114 ·; "-L726 •;· -1.309 ····. -0.824 : .· 0.050 0,853 ·" ·l.2lf5 " l.643 .; "l.890 '·· .. 2.lOA . ·· 2,294· .. ·.·:'..i

: ·- .L~· ·-2.615. · .. · .. -1.750 ·: -L317 '~0.816' :.•, 0,066 :. 0-.855 .... 1.231 . ·:·J..606° l.S3Lf· · · :2.-029 ".::· ... ' ... 2.201·").'..::;!. - .5 .· -2.686. ·' ..,l.77l~ . ··-1.323. -0.808 . 0,033 . · 0.856 ... " .1.21.6'. " 1.567 '1.-777 1.955 "· ·.,'. 2.108 ·. ;".' i ·

:· _ .6 -2.755. :-1.797 ·· .. -1.328 .. ,..·.;.0,800 .. ::. 0,099 •.. · .0.857 · .: i.200 ··.· l·.'523 ·i.720 , i.sso·.·. · ·2.016 \·.< :t.· !.·- ,7" -2.82l1 -1.819 "<-1.333· ... -0.790 .. : 0.116''

0

: ••• ·o.857.····.l·.183 .~ ... l.488° ."1.663 .·l.806··: J...926·:.·:·.\ .. ; ! .°8 ·." -2.891 -l.8J9 ·· ·-1.336 .. -0.780 ... 0,132° . · 0.856. :". ·l.166 ·: l.4Lf8. '1.606 >":: l.733' ... 1.837 . .-lh .: ·

. I ,9' .. ·-2.957 -1.858 ·-1 •. 339 ·.· -0 • .769 •.. O.lL18'. : 0.8SL~· .. ·• ·l.147 1',L107° 'l.5Lf9 . 1.660.' 1.7L19 ·,.:-;..i,;··: -l.O . ·. -3.022 -1.877 . · -l,3lf0 .· -0. 758 ·· . ;D.16/f .· 0.852 .. · 'l.128 · l.366 1.1192 : _'.:. l.588 . : ·,. l. 6611 ... · .. "" !

. :-l.1·: -3.087 ·.-l.89l1 ··-l.3L1l .. ·-0,71+5 . . 0.180 ., 0.848 . ·l.107. 1.324· .l.l135 :l.518 .· :l\581,,'·: '· · 1 -1,'2 . ·-3.149 -1.910 -1,3110 -0,.732· 0.195 ,·0.8L~4· ··: ·· 1;086 l.282· .... l.:379 . · .. l.M19 ··". l.5.01 ." .. '. ·i

-1.3::·-3.211 .. ··-1.925 :-1,339 :-0.719 .. o.2io .. 0.838".:: L064· .. i.2t10 ·l.324.·.·,.·l.383· ...... ·i.,124 ::'.<:·,·; •.: ·-1.t~ · -3.271 -1.938 .:.i.337 ····".'o-0.705 0.225 ,o.;·0.832··· l.OL1l. -,.1.198 ·· l.270·.·'.= 1.318 .,· l.351 .: .. :.j . ;_ -1 5 -3,330 ·-1.951., ;.1.333. -0,690 0.2L10. ;...0,825 . . : 1.018 . 1.15i "·. 1.217. 1.256. ;. l.282 ·< ... ! : ! . -i .: 6 . - 3 • 3 8 8 " < .. :. i. 9 '6 2 . . -1. 3 2 9 - 0 •. 6 7 5 " : " 0 . -2 s L1 . / . 0 • 81 7 " ~· . . 0 .• 9 9 L~ . . l. ll G . ~ 1. 16 6 1. 19 7 . : > . 1. 216 ''; '.:. ,: ' . . l·-1.7 ... -3.'fli/f. ·-1.972 .. -1.324 .. -0.660 · .... · 0.268: "0.808·., ,. 0."970. '1.075 . 1.116 :, :l.140 l.155 .. :. · 1

·1· -1.3 ·:·. ·-3.1199'. -1.981 :· -1.318.- ·-0.61+3', 0.282·".. 0.799 ; "0.945'.: 'l-.035 .. l.069" ""l.087 .... 1.097 .... :.".,·.! .. : . -1. 9 . . . - 3 • 5 5 3 . ; .. -1. 9 8 9 . -1. 3 l 0 - 0 . 6 2 7 . :· 0 • 2 9 lf . " " 0 . 7 8 3 . > . 0 • 92 0 . . 0 • 9 96 " ·, l. 0 2 3 l. 0 3 7 . . . l .. 0 ltlf . . . ,_·:.' . t

... 2.0 .. .:3.605 ·. -1.996 -1.302. -0.609" ·o.3o7 ... . :·o.n1 ·. ·. o .. 895 . . ·o.9s9. · .o.9so 0,990 o.995 ........ /' ···.-2.1.·-.. ·-3.656: ..... 2.001· .~1.·2.91~ -o.;92:··:.,·o.Jl9·: o.765,.·.· ... o.869 . .,·o.9~3· o.939· "0.91,6 o.%9 .. ··:., .. ".'_ ... :

1:.:

-2.2 .··-3.705. ·.· -2.006 ... -l.28lf ... "· -0.:>7!!- .·.I .0.330 ·:." 0.752 .. 0.84ll-.,: .. 0.808 · .... 0.900 ·' 0 .. 905. ·· ..... 0.907 ,:::. ':o I .·;~2.3'···-3.753 .. ·-.2.009 : .. -1.27L' ... ·-0,555 .'.:_0.3L+l._.-.·.0,73~: 0.8~9::.·.0.855'.,.:; 0,86l;·;· .... 0.867 .·. 0.869 :·:· ... j

-2,Li' .. ··-3.800 . -2.011 . -1.2~2 ... -0.537 ... 0,351.,:.·:, 0.72:> · .. ·· 0.7_,5 ·:··.: 0.823 .. : 0.830 ., 0,832 .·.·: 0.~33 .'::·<i -2.5 . · -3.SL,5 . -2.012 · -1.2:>0 " -0,518 ·: ·. 0.360 ·.•.. 0. 711 .·.'. 0. 771 ... 0. 793 . · · O. 798 · 0. 799 · · 0.800 . ,·

• '· • • • •.,· , •, • • • .• t. • .... ' ' , • ''··'· • I

-2.5. -3.889 ... · -2,013·.: -1.238'' · -0.ll-99 ··· '. 0.368 "' .>0.696·:'· ; .. .. 0,71,7 ·:,· .. 0.76L; .· ... 0,768 · .: 0.769 0.769 · .. i ~ , • • •. , ••• : • • • ' • • • ·' • • • • • • r

. -2. 7. .-3·.932.. -2.012 -1.224 · -OJ,79 ·. '•. 0.376 .:..;··: ... o·.681':·~;· ... O. 724. >- .. · 0, 738 .. :: 0, 7L,O · · .. 0. 740 0. 71+1 ·.: · -3 .. 973 · -2.010 -i.210-' . -O.lf60 ·~.> ·o.384.:.:.: .. :---o.666 :,::> ..... 0.702·· .. ·: .. ·:·; o.712 :; ..... ·o.'714· .·:. o.714 ·· · o.11L1. :·'.·:·: -4.013 -2.007 -1.19,5 .· ... -o . .440 ;::::: ... 0.390·'_.):_. ·o.651.':·,~·.'~ o.681·.··.: .. >.o.683".:··::.:. o.689 :·"·. · o.690 .... ·· o.690 '. :: ... ;·:. · _1,.os1 -2·.003 · · -i.rno :"-0.1.20.·· :··· o.396"'.·:..;:~.: o.636 -:.:~·:·: 0,660·.-·""·,· o.666 :·;. · o.666 ··· ·· o.667 .......... · o.66t .·: · .. ·

o 11 , '

0

• ,••• o'

0 I I •o", •, JI ,':'1

1 :'',•, ',,I;

. :. . :·. : •' . . : .· :·: ., .• . . .

: .. i

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-3.0

........... . ,t ...

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j.:;

-.'

... t

·-;1· .. " ·,~

48

EXAMPLES

/The following examples will demonstrate the use of each

of the methods discussed to this point. These particular I I examples

I have been chosen becau~e they illustrate the

!

.problems listed in Bulletin No. 15: outliers, short record

of flood flow, determination o~ di~charges for ungaged

basins, and the variability of the skew coefficient. The US

Geolbgical Survey in Iowa is currently conducting a study

which hopefully will produce some guidelines to handle these

problems.

The Talbot Formula and Iowa Cha.rt No. 1 Methods have

been omitted in those problems which have a drainage area

larger than 30 square miles since these two methods are

intended for use on smaller drainage areas only. In other

examples the Bulletin No. 1 Method has been omitted because

the lower limit on its use is 100 square mile~.

MAF is used as the abbreviation for the mean annual

flood" N is the number of years of record at the gaging

station.

The computer output for determining QSO in each of the

examples using the log-Pearson Type III Method are presented

in Appendices B thru G.

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. 49

Example 1

·Normal

·Name: Cedar River

.Location-: Cedar Rapids __ .,

.'.' Drainage Area: 6,510 sq. mi.

Char act.er: . Rolling

Bulletin No. 1 : Region C

MAF - 27,000 cfs

Ratio· to MAF = 2.8

050

= (27,000) (2.8) ·= .75,600 cfs

Interi~ Report : Region X-III

MAF = 24,000 cfs

Ratio to MAF = .3.34

Osei= (24,000) (3.34) = 80,200 cfs

Bulletin No. 28: Region A-I

S = 2. 34 ft. /rhi. P = 31. 3 in~- .

MAF = (7.343) (1,840) (l.Sl8)

= 26,700 cfs

Ratio to MAF = 3.10

Q50 = 82,800 cfs

log-Pearson N = 67

050 = 77,600 cfs (See Appehdix B)

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; .;

,'.f,

-:

.· ,,

50

Example 2

Outlier

Name: . Pine Creek

Location: Buchanan Co., near Winthrop

Drainage Area: 28. 6 sq. mi.

character: Steeply Rolling

Talbot Formula

a= (0.5) (18,300)o._ 75 = 800 sq. ft.

· Q = 800 x 10 = 8000 cfs

. Iowa Chart. No.· 1

Q50 = (0.7) (l.O) (8,_200) = 5,700 cfs

Interim Report : Region Z-IV

MAF = 1,600 cfs

Ratio to MAF = 2.61

Q50

= (1,600) (2.61) = 4,180 cfs

Bulletin No. 28 : Region A-I

S = l4.0 ft./mi. P = 32.5 in.

MAF = (8.510) (17. 7) (8.40)

= 1,270 cfs

Ratio to MAF = 3.10

Q50

= (1,270) (3.10) = 3,940 cfs

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,, L~

:_· .. ~ :1

.. . -.

Outlier

log-Pearson (see Appendix C)

N Max. Q 050

20. 24,200 32,000

19 14,500 18,200

. 18 10,600 10,800

17 5,030 5,600

·Question?

Can we have 3 outliers in 20 years

of record?

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52

Example 3

Short Period of Record

Name: Skunk River·

Location: Story Co., near Ames

Drainage Area: 556 sq. mi.

Charabter: Rolling

.Bulletin No. 1 Region c

MAF = 4,400 cfs

Ratio to MAF = 2.8

050

= (4,400) (2.8) = 12,300 cfs

Interim Report : Region W-III

MAF = 5,300 cfs

Ratio to MAF = 2.97

050

= (5,300) (2.97) = 15,800 cfs

Bulletin No. 28 : Region A-I

S = 6.63 ft./mi. P = 30.6 in.

MAF = (6.719) (223) (4.6) = 6,900 cfs

Ratio to MAF = 3.10

050

= (6,900_(3.10) = 21,400 cfs

I: log-Pearson : N = 17

.,.

1 l

0 50 = 9,600 cfs (see Appendix D)

I)

I

: . . . . .

~ . .

·. ~.,........-~.'f'!~.·-~~~"."""':''-7'"'''0:<::-::~__.,.,,..,_~_'"'7,..---""""'...,;~:-::.~_...,,.~~~~·P:"<"":~">-;:~.·-v;·,~~-.• ~ .. ~ .•.. - ... W-'7 .. -·~ "' >.··~·· •• ,. -·

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53

Example .4

Long Record but no Major Floods

Skunk River

Story Co., near Ames

Drainage A ea: 315 sq. mi.

Character: Rolling

~ulletin No. 1 Region C

MAF = 2,500 cfs

Ratio to MAF = 2.8

Q50

= (2,500) (2.8) = 7,000 cfs

Interim Report: Region W-III

MAF = 3,900 cfs

Ratio to MAF = 2.97

Q50

= (3,900) (2.97) = 11,600 cfs

Bulletin No. 28

S = 7.34 ft./mi. P = 30.0 in.

MAF = (6.204) (137) (5.0)

= 4,250 cfs

Ratio to MAF = 3.10

Q 50 = (4, 250) (3.10). = 13, 2_00 cfs

log-Pearson : N = 45

Q50 = 7,100 cfs (see Appendix E)

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Example 5

Length of Record

Name: Big Sioux River

.Location: Woodbury Coo, at Akron

Drainage Area: 9,030 sq. mi.

Character: . Gently Rolling

· Bulletin No. 1 Region E

MAF = 1,0, 500 cfs

Ratio to MAF = 2.8

Q 50 = (10,500) (2.8) = 30,200 cfs

.Interim· Report': Region: Q-II

MAF = 18,000 cfs

Ratio to MAF = 3. 81

Q 50 = (18,000) (3.81) = 68,500 cfs

~ulletin No. 28 : Region B-II

MAF = 12,500 cfs

Ratio to MAF = 4.50

Q50 = (12,500) (4.50) = 56,300 cfs

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55.

Example 5 - cont.

Length of Record

log,..-Pearson (see Appendix F)

N Thru Max. Q 50 yr. 100 yr. 200 yr.

24 1952 33,000 31,700 34,:100 36,800

32 1960 49,500 41,900 47,200 52,000

34 1962 54,300 49,000 56,500 63,800

40 1968 54,300 49,400 57,200 64,600

41 1969 80,800 62,000 74,600 8?°,400

The dual bridges on Interstate 29 over the Big Sioux

River were 6ohstructed in 1959. The 1962 flood

destroyed the northbound bridge. Tot.al cost of the

original brjdge, the replacement bridge, and other

remedial work now approaches one mill~on dollars.

The 1969 flood rose _to an elevation· four feet lower

than the 1952 flood.

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56

Example 6

Ungaged Basin

Name: Brewer Creek

Location: Hamil ton Co., in Webster City.

Drainage Area: 22.5 sq. mi.

Character:. Flat

Talbot Formula

a = (0.167) (14,400). = 216 sq. ft.

·Q = (216) (10) = 2,160 cfs

Iowa Chart No. 1

Q50 = (0.4) (1.0) (7,100) = 2,850 cfs

Interim Report Region 'I'-II

MAF = 500 cfs

Ratio to MAF = 3.01

Q 50 = (500) (3.01) = 1,500 cfs

Bulletin No. 28 : Region A-I

S = 9.8 ft./mi. P = 29.0 in.

MAF = (5.433) (14.4) (6.3)

= 490 cfs

Ratio to MAF = 3.10

Q50

= (490Y(3.l'O).= 1,520 cfs

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·Example 6 - cont.

Ungaged Basin

log - Pearson

~ I

Since this is an ungaged site, several gaged sites

of various drainage areas in the same region with

similar basin characteristics were u~ed to define

a regional curve for Q~o· These result~ are shown

in Appendix G and Figure 24.

Q50 = 170A0.7

.. = (170(22.5) 0 · 7

=.l,500 cfs

. I

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Example 7

variability of Skew coefficient

Site D.A. N cs

Pine Creek 28.3 20 0.697

Pine Creek '28.3 19 0.578

Pine Creek 28.3 18 0.408

East Branch Iowa River 133 23 0.216

Pine Creek 28.3 17 -0.063

Hardin Creek 43.7 18 -0.065

Hardin Creek 101 19 -0.177

East Branch Iowa River 7.9 18 -0.220

·East Branch Iowa River 2.2 17 -0.490

Lizard Creek .257 30 -0.492

Big Sioux River 9030 41 -0.533

Cedar River 6510 67 -0.552

Boone River 844 30 -0.575

B,ig Sioux River 9030 34 -0.622

Big Sioux River 9030 40 -0.701

Big Sioux River 9030 32 -0.764

East Fork Hardin Creek 24.0 18 -0.817

Big Sioux River 9030 24 -0.886

Skunk River 315 45 -0.985

Big Cedar Creek 80.0 10 -1.251

Skunk River 556 i7 -1. 908

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Example 7 - cont.

variability qf Skew Coefficient

the

I From the list on the previous page, it can be seen that

/kew coefficient displays great variability and is very

sensitive to the sample size and the variability in the

items of data themselves. Pine ·creek is a good example of

this. Eliminating each outlier in turn ~hanges the skew

coefficient from 0.697 to -0.063.

Several writers have commented on the use of the skew

·coefficient as a regional factor and on its use at all when

the· sample size is small. In Foster's original work he

stated that "as the coefficient of skew, computed from a

short record, has a tendency to be too small, a value of

coefficient of skew= 0.60 was adopted as typical of streams

of New York State~ 1114

In 1936, J. J. Slade, Jr. tested the. significance of

these skew cbefficients and showed conclusively that skewness

is never a truly significant characteristic when the sample

from which it is computed has less than about 140 items .

and that it is quite meaningless to use this measure when

there are 50 or fewer items.15

14H.A. Foster, "Theoretical Frequency Curves," Amer. Soc. Civil Engr., Trans., v. 87, 1924, p-16A.

15 w. D. Potter I "Surface Runoff from Small Agricultural water-· sheds," Research Report No. 11-B, Highway R(search Board, 1950, p-27.

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l I · i

'l ., 1 j

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:] ( l'

60

Current usage of the Pearson Type III Method discourages

computation of the skew coefficient when the sample si.ze is·

less than 100 events. However, a predetermined value of skew

based on national or regional statistics may be selected when

the use of a skew coefficient appears' justified.16

Prasad acknowledges Slade's work and then states that

this implies that the log-Pearson model may not be used for

most frequency analysis at present because fo~ most stations

less than 60 years of data are available. It is true that

the coefficient 6£ skewness is a more sensitive parameter

than the mean or the standard deviation. The present study,

however, shows that the use of the coefficient of skewness

improves the fit of the frequency line in the case of maximum

annual flood peaks regardless of the number·of years of

record.17

CONCLUSION

We appear to have come a long way from the Talbot

Formula to the log-Pearson Method. Today we have a wealth

of records (but never enough and never at the right place),

16Methods of Flow Frequency Analysis: Bulletin No. 13, Subcommittee on Hydrology, Inter-Agency Committee on Water Resources, 1966, p-22.

17Ramanand Prasad, "Frequency Analysis of Hydrologic Infor­mation," a paper presented at Annual Conference of the Hydraul~cs Division, Amer. Soc. Civil E~gr., 1970, p-10.

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61

electronic computers, and a better understanding_ of the

proce~~es involved in the hydrologic cycle. . (

But - the basic premise of statistical hydrology is that

the .Jecords of past events are the results of natural (

processes which are unchanging. clouds form; rain falls;

interception, retention~ infiltiatiori, and runoff occur;

evapotranspiration takes place; and then. the cycle begins all

over again. A never _ending ~ycle - or is it?

Clouds are seeded to bring rain. Other experiments are

·performed to dissipate clouds. Forests are cut down to be re-

placed by farms and cities. Potholes.are filled to reduce

ponding and increase crop yield. Hillsides are terraced and

contour farmed to reduce soil erosion and increase crop

yield. A corn field gives way to a shopping center and a

parking lot. Channels are straightened and obstructions

removed in the name of flood control. We have Coralville,

Red Rock, Saylorville, Rathbun, Hickory Grov~, Don Williams;

and hundreds, if mt thousands, of farm ponds.

From the standpoint of hydrology~ however, there has

been a widespreatl destruction of the hydrologic character of

the observed water data. The U.S. Geological Survey has

advertised this fact widely by requesting the establishment

of _hydrologic benchmarks throughout the country. A hydro-

logic benchmark is an area, untouched by man, in which the

water data collected can be expected to depict reliably the

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effects of natural conditions on the flow of streams and the

fluctuations :Ln ground-water levels. In short, as water

/ dat1 have been changed in character due to water-development

pro/ects, The Survey has found it increasingly difficult to

act as an observer and interp~eter of hydrologic fact and

. has been forced to devise and advod:1. te heroic measures in

order to maintain its identity as a scientific agency and

perform the services required of it by law. 18

The name of the game is still "Pick a Number.".

18 Raphael G. Kazman, Modern Hydrology (New Yor, Harper & Row, Publishers, 1965), pp. 257-258.

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·':

oh -/2 --C2.)G.'-:C:/-/./d. .. · 7~.J,? .. 9.Jc,y,>/i:--:.../f?

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64

BIBLIOGRAPHY

A Uniform Technique for Determining Flood Flow Frequencies: Bulletin No. 15, Hydrology Committee, Water Resources· council, 1967. 15 pp.

Basic Principles of Highway Drainage: .Hydraulic Circular No. 1, Bureau of Public Roads, 1951. 24 pp.

Dalrymple, Tate. "Regionai Flood Frequency," Research Repor·t No. 11-B, Highway Research Board, 1950. pp. 4-20.

Foster, H. A. "Theoretical Frequency Curves," Amer. Soc. Civil Engr., Trans., v. 87, 1924. pp. 142-203.

Handbook of Steel Drainage & Hi~hway Construction Products. New York: American Iron &.Steel Institute, 1967. 368 pp.

Kazmann, Raphael G. Modern Hydrology, New York: Harper & Row, Publishers, 1965. 301 pp.

Larimer, O. J. Drainage Areas of Iowa Streams: Iowa Highway Research Board Bulletin No. 1, 1957. 437 pp.

Methods of Flow Frequency Analysis: Bulletin No. 13 ,­Subcommittee on Hydrology, Inter-Agency Committee on Water Resources,· 1966. _42 pp.

Potter, W. D. "Surface Runoff from Small Agricultural water­sheds," Research Report No. 11-B, Highway Research Board, 1950. pp. 21-35.

Prasad, Ramanand. "Frequency Analysis of Hydrologic Infor­mation," a paper presented at Annual Conference of the Hydraulics Division, Amer. Soc. Civil Engr., 1970. 32 pp.-

Schwob, H.H. Iowa Floods, Magnitude and Frequency: Iowa Highway Research Board Bulletin No. 1, 1953. 171 pp.

Schwob, Harlan H. Magnitude and Frequency of Iowa Floods: Iowa Highway Research Board Bulletin No. 28, Parts I &

, I I I 19 6 6 • 4 7 & 3 7 6 pp .

Talbot, A. N. "The Determination of water-way for Bridges and Culverts" Reprint from Selected-Papersof the Civil. Engineers· Club, University of Illinois, 1887-88, No. 2. pp. 14-22.

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65

Appendix A

Paper by.Prof. A. N. Talbot

. - -~

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. ~11 .1

1 ~f ~

;1

'fl fffl1 __ _ il "1( f ~

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· 'ERE DETBRHINA'rION OF Wf..':CElt-WAY FOR BRIDGES AND CULVERTS

....

. .BY Aq N. TALBOT "·. -.- . Ass 0 t -l?:i:or<'!soo:i: of Engineering and Ha thematics . ·'

.. In general, little consideration has been given to.·the

~roportioning of· tha span of culverts an<l.bridgcs6 ·noxeaj pipes, an4 ·small bridges a~e guessed o~f by the sub6rdinate·anginccr. To~ often a

mistnkcn,J.iiza cause~ a washout of groat mn(;nitud.0, cntaU:t'ng· coot of rep{lii:'s and J..oos of tui.fHc. Neady l\D frequently cxtrsvagnnt idc:is''()f

'·:. - -

.... _·

. - .:•

requirements causa greatly inc;:cnscd coGt of constr.uction 9 :Cndctcrmin:i.t:o though tho pi:'oblem be,. it demands an ineol1iecn:: :tre'1t;:ncnt:c. Any one can make a c~lvorc o= bridge large cnough;.i~ is ~hc~rovinca of the driginocr to deeigri cno of sufficient but not cxceaoive s[zc~- Pcrhapn in tho ro~jor~ ity of. br.-:i.dga locntione, 'blufis ot a ~·nill' .. 1nilrked chnnncl <lot~rmines tho \lidth og ltho b~:tclgo opening, so· that the nmount of \·nitor is n subordino.to fac.t:m:a, ot. the (3ize of the openin3 can .bG clodded upon by inspection of! tho pt>o.Hlac Vary often, howevc1• 1 there io no such guide &nd no good

· cvidcric.e ol: thG height of tho stream q,t the opening.· Thi.a p'apet' will con .. eido~ euch caeca o What t havo to of for is not 'l.m:!.vers~lly upplicnblo ... ~ c.nd no rule 0£ thumb wiU fit the caso~ ·

,,,·~. . . .. : .. -.- . ..

lI~re let me wo.rn you that the question :ts noi:···one which ·c~n'"'bo. 'dc.toi'rn:!.nctt with tn.o.thcmo.tica.l e~~llctncs:J. Th~ problem. is rnoro ·or lc_vn . indotcrirJ.nate ~,,.· ded.m.al places :do not give .nccurute resulto wit:h un~cru · tniri dotd~ Do not then.~o troublcd_bccauoe oimilur-~onditionD g~~b vary• in& ·rcoul!:s. _ · · · .- ·

·:-. i\' .· ,, '!! .. ·'

I Inl the construction of a new· railroad, conoidorar:ions of fil"f:i'.

COOt ~ tinic ~ and e. lock Of knowledge Of the . sruount: Of . future traftic ~ llS

\tell: D.S igno;:crnce of the .physical features Of the 'country1 ui;uully: i.·cr1uire. that· tcmp·orary structures ba first· put in, to be replaced _by masoriry c:nd. iron later& An excessive size for thcoc terep6rnry structures may ~ot be very objcctionciblc -- often n t:rcs tlc will for the tima be cheupcl.' th.Jn ' an ombv.nkrncnt~ Wi~h increased.resoul:"cen, permanent improvemcoto will be

·mo.do q In: the meantime an incidental but vc1-y irnpoi:tont duty of the cn~i ... ncerr.:ts to &1nlw a tarc£ul a tudy of the requirements of the rec, d. Upon the audgmcnt e.nd abil:l.t:y dis.played in this depends mo:it of. "the cconomiclll. Vnluo Of culveti:fJ, :?.butmcnt:a and pi_crs, 1Jnd .the supen-ision Of the con~ struct.ion }.a not difficult. Hig~-water tr~L"k of strew.ms .nnd tho offoct of floods ov~n in w.iten.: .. courses ?rdina-.cily dry should b.e rcco-;:ded D.nd no tor.; • of t"oqui~cd wntor ... w.:i.y taken. With these data cha pl:opo!; · pl;·opot.t;ioning of tliG t'omnncut. ott>uctm.:c~ beccm2s an easy tfisko · · · ,. · ·

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.- - 'The _-difficulty of deducing o. ro:tion~l formula to determine the l'lCCt'.lG.Se.t•y spi;H1 Ot' Wntct<wt;faJ' of Cl cul va;:t; dio.in:tna O. givon Cl"..'00. w:Ll.l ho appracintad on e~Gmining tho following conditions which enter into tho problemr

(l) loca.liti.eso

Tbs va~intion of the rate of rainfall in different

(2) Paucity of d;t.a, s:!.ncc. records nre gcnerc;lly gi\ren ll.S so · much par de.y and t:arely pen.· hom: ~ while tha ~urat::f.on of the covoi.:o D corm

· io not reco~dcdo. ··: ·· ·. '(3) Tha malting 0£ rmow with a heavy i:."ain.

(l}) The pu1l:ucabi1.ity of tha surfll.co of the· gi·ound) d~pcnding · upon tha ki.nd 0£ soil 5 condit1.on of vogot8.tion and cultivat:i..on 1 et:c.

,.(5) Tho dagt;·oe of .aature.ticn of. the grol!nd and the £!.Ii10unt of cvaporationo ' . . , ;

{6) ~ha chnrncte~ ~nd inclination o~ the surface. to the point ·:where the Weter eccumulut:cD in the \·mte,r~col.n:Dc proper.· . . ···

(7) 'rho inclil1~t:ion or slope of the· \·1atm: .. courso ·to the· point ·· ·.·· cons:i.doi:edo · "

_. 11 .;(8) The oho.po of t:ho area drnincid ·o.nd the position of tho feedsra:o ··.·.I ·:

, '£he importnnce of the l.n.et: itom will be seen in compnring a . epoon .. shnpecl m:ca t oho1-m et (b) S.n the accoopnnying cut, where· the main - \li~lct"cbui:sc· ia .fed by branches fl'o1ri boi:h tdclco, so arranged thnf w.:iter ·

from the uhole &rea reacheo the cul~ert ae the sama time) with .a ~ong, · nn'n,"o\t 'ba&inp shown ilt: (a), in· which bc·fora _the water from tho _-uppc·:i: ·:

· p<:l'i-t rcllch::s c:ha ·opening the rainf (111 from ths lowm: portion has b8en corr:.t.ut..1 :J.\·i:i!.:J t:d.!{~ th;.J GC-\1~..;ro p~~::~ er tha ctCt--rr! ·:!.:; pe;St~. !!1 :la:cg,e· ar.cna this in_ ail important consideration~ •' . . .·: . - i· !l

. i' ll .

·' · · · . ln constructing such a fo1·rm1la > then, we should hnve to . · de~1do between l and 3 inches of rainfall per hour; upon tho pro~ortion .

. of the rninfcll reaching the stream~ which in given in reliable data as , varying'· £rorn 15 to 50 percent, and in case of sµow to a quantity evi::.n 1 g1:cater than the rainfall; to cs timate th~ time re quired to find its ,way thibugh grass ·and brush, over flat and steep, until the water• course is roached, nnd then with tho imperfect:. formula for flow :ln . chbnnol~ to correct for retardation by bends and brush and gras~; rind finally to decido ·upon ~~hat. Pt'oportion of tho water· carr.ied down the .

, stream \<~ould roach t:ha opening nt the snmc timco As· any of these oGti ... m.ntca milr;ht b'e in en·Q4' 200 or 300 percent, tho final result would mH: .

. ba·ll:oliriblo,, ••

1 Baforo f ac;t thnt ll.ny vnluco of tho

.. : almont wholly

deciding upon a ro~thodp I dcoiro to emphno~ze the .; for.mula w!.11 be nppro:cimntc. thni:. the estimation of tha difforent conditions entering in~o the subjc6t will ba. ,· n mstt;O'Z." O~ judgment:b SO that t:ha fo11nula muot be

·,

·•

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' . --·.' -

· .. · ~ .. -.. :-:.:'. .... -·· ·'.: . .·

0 - -. . ·:_. .··,;-- .. --: • • • I • ·· .. ·. -. -~ .• .. :,· ..

· .. · · ·. con.sidared mo'fo ns a guide to the· judoncnt tho.n ·ns ·a \.1orkinr; l.·ulc. . · M.lthcmo.ticD.1 e~:c..ctnci:;o io neither W.1l:rv.ntcd by nor required by the prob ..

. ,·. lem. tho qucotion io not one of 10 o~ 20 percent of incrcaoc, If ~ :

-2°foot pip~ ie ipaufficient, a 3~foot pipe ~ill probably ba thc·hcxc _ · size. an incrceao of 225 percent. If a G•foot arch culvert proves too.·.

smnll ~ nn 8-foot · w:l'.11 be used. The rc.9.1 qucr: cion- :Lo whether we want an 8-foot culvert Of a 2~foot pipe. App~o?dmntion iD all we can hope for»

. and fol;'tunntely i.s all we require. . . ·

· ,At fh:st thought: it would appeal· that the runount 0£ water to pass through l'.n open fog,· other thfogs being equal: will be directly prci.,

· portional to the ai:ea drained. .For srr.nll aree.s thi.s is neu~J.y trua~ but: llB wa h!lve seen :tn thC! case of the long, nr::i:row di:Elinr.g e at'E!l'. thcro· wilJ .

. be a variation from tl10 direct proportion a.s the Ed.zo pf t:h~ bs.sin · · increaacoo ...

I • . .. ,,-..' ,..

,;ne slope of the culvert is not cono:tdere<l nol" is the increD.Sed diachar.go Of large open:l.ngs per squat"°C foot ·of arC.lp C.S llGG-rly the .8.!lmO

proportion '::TJ.ll be found n~ in tho channel nbova. · ·

'l-faj o E. D. Te Myers' formula is the only one in general uoe. ·.It is · · :-,;

. -{~ "';,. .. •. 'I

c· ~Jo-::ainage Area in Ac~es, ... . ·where c ia a va~iuble coefficient for which 1 is used in ordinary, . ·. slightly rolling prairie or agricultural land, 1.5 in hilly gro~9d, the · value rising .to 4 in mounta:f.nous and rocky g1:ound. · This g:Lvas y<ilu~s which are nmple for smnll drainage arous, in fa~!: too large. l"or iarge

•·.arena tha results are too small.·. The defect for sr:t.all areas ia'::appar.:.;. ent from the fact th~t ~ha discharge will be then nearly pr.opot~ional:

·>;to the!<icreage. whilo the ·formula ma1c~s 40 acres require ·only twice as ···. : much. nr, 10 ?ct:'.::!3. · WHh jud:i.dous use, this f:cr:c1'1ula h<:\s done goo cf serv~ ~:'.ice. but it has many .defects. . . · ·

·. f!.­

. it has been suggest~d tha~~bservations be made at the c~lvart· to find the' depth of water there for a known rainfall. A maximum rate

. of ra:tnfe.ll could then .. be assumedl .. and the maximum watar;.way calculated . . by simple proportion. The objecb'.on to this method is. the fact•. that n dbuble -amount of rainfall will give more than double the d:tacharge~ since the ground has become saturated nnd since obstructions wi_p have

· less effect on the flow. ..- · ;: · . .

·:The only formula for finding the discharge for a given rain· .. · fall over a given area approaching to reliabiltty is that ~f the Swiss

·._,-·

. hydruulicinn, Hl". Burkli~Ziegler. which ·wD.s del:-ivcd from oboervations ·on heo.vy storma in Zurich. together with 'information from other European -local:t'cieo. For. "feet mensurc it :!.s .· . : ,_. - ·: · •

• '.

.-,-;· ·4 · qt1m\t;ity of!., dieche:rga· pot' ac~:e ·in cub:f.c feet per sec.ond ra ·c a ~

v;:· '.-

·. _ .. ·· . ·. .-; .· ...

_,. - -· '.: ·.

' ~·-·

.·~ .

Page 74: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

. '·

.. ·.··_.-;·

Since by thin fonnuls the quant:i.ty dischc;rged par aero v01r~cs · iriveroaly e.s the foui·th povei: of t:he area drain(')d; the volumG of dis-·

.charge ~t'Otn tho whole ni-oa -w~ll va"!.:y :as A , or A3/4; and~ assuming

·~[ ' --··-··-· ··.·.-

- -

the crn:nc velocity through the culvert ll.S in the stream above, the opcnd ing wUJ. vnr)7 likewico. Thio assumption. will be truo when the g·radc of. tho culvert: ia the srune as that of the. stream above and when tha smaller· cocffi61ent of .friQticn in the culvert over that of the chnnnol-ito~lf is

-.. cou.utorrictcid tiy tho ~ar.d.otnnc:o to1 ente~ing the culvert.. He 1"1l£Y ·.thei: \fd.te

.... - . ;~.

" . ·~-

. . .;~: . .

. : .: ...

; ~ ..

-· for which tha coefficient Q muet be determined. . .-, -<:):'f:~-c"_._ ... I .. ;:;>'<.

· ·By compar:l.son with tho formula of' Burkli·Ziegler and with the· '· ·flood flow of streams up to several of 77 squsre·miles area, I c'6nclude that for rolling agricultural country sbbjcct to floods ~t time of melt- ..

. · .. ing' of snow J and v1ith the length of val~ey three or four times -the ~1idth,. 1/3 ~" '•'·,,; 1·"'-.-,.~ ~ .. ,i.,.., ·of. r. 1.1! ,.t..,.. rt--"n~"" ;,, ·10"'<'.?""1" in nropOl'"t:l.'on t·o

J .

l~

. ~~ ~u- l-'c...V~..:.:i .. "<..:.·~""'\.:. - .;;:.a J... ... !.~~ r.;-....~~t.,.<C,, . ..: ... ...... ;-.... ~ 1-;~\;" •• .,, .. ,.. - • ~ ..

· the areri., decrease: c. -In districts not affected by accumulated snow,·· end ·where the length of .the valley is several times 'the width) 1/5 or 1/6 or dvon less may be ~aed. £ should be in6r~ascd for steep side :slopes 1 ~espcclally if the upper part of the valley ha~ a much greater fall than the channei at the culvert. · - -

i

· .. In any case, the judgment.nmst.be the main· depe"ndence, the formula being D. guide to it:. On a road.already COriGt"J:"UCtCd tho .9_ may

· ba determined fo"t the charc::.cter of surface along that lino by co1i1pnring the formula with ·high~watet' mark of a known druiriilge area. Experience

, -and observation on aimilar ~ater-courses. is the most valuable guido. A · .. knowlodge of the nction of streams· of similar situations· in flooda c.nd 'of the effects of peculiar formations and slopea is of· flir more value •. than any e~ttended £ormull1o· ;, :• . . 1 .·

.•• f. . . 'l'he drc.inaga e;rea m~y be obtained with sufficient <1.;curacy

. . f~om a cou.1ty m!lJ?p or b)' walking up and .a.cross the basin.

.··.·.·, .

.. :.:. ·.

..

:· . ." .- --..~--

Page 75: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

. . ..

' .. •

· ... _ ..

. :·: ._. . .. ' .... · ..

·-··-· .. · . ..,.· , ..

.. .:.

.. . trh<i foUo-.;tng t.nblc3 ohom~ t:1"\~ val~c.'.J CJ.5. r;5.yc,n_-.by_ t~c Hyo~s.'

-

formula •·· .--~- . · : ; .·. . .. ·. . . .· -~·. . . . .: 3/4·-·" ,. . . . ; A m .1Y.A and Q .~ l./'J A • .~ ·A :tc in a qua re ·fegt:,' in. both cusea: . . . . . . . . ~ -;

~7c,a.z~ ... Hy~r.<L,: ... ,..,..2.ill_E.E. · ·

10. 3~2

20 4o5 .. 40 6 • .3 DO 8.9

:100 10.0 . ·-160 12.6

1.9 3,2 5~3 8.9

· 10~ 5 15.0

· .. 200. . :_· 400

. . · .. · 640 ···. 1000'

2000 6400

. 14.l :w.o 25.:3 3lo6 lf4o 7 ao.o ·

l7o7 29.G ~2J4 59o3 99.7

2380.5

· .. ·

According t:o tha Hyerr1 formula n 12 .. :tnch rd.pc will· not. drai.r~ e.n 8ctop which is abom·d on ito foce. · /, . • f. .. 5: ;:.:.-

. . . . . · Ihcid~t\~~lly, I rnay ee.y that 1. hnve found that £01: tlverag~ . ·. ·

·. elo_pe in·· €-m.r:ill -:!vere tho Hood cli.scharga p(n: ciqu~ro cl1c. is about; II

~ . : .

'.• ..... _ ...

. :·.

; ·-····

.. '·

. ~ -

-.··, .. I .

. - ... ,.; .· ·-·:··

. I

: ~ .. : :

]!L<;lgcs.· · I ..

Ordfoarily th9 distanc.e betuci:in· banks nnd· the prevailing t;ra-de lino on either o::l.de 'determines the-. length of sp<rn and the· amount: ··

. of water-,.,oy. Lnrge ntt'e<lms. hovfnL; WGll~established channels will not .. - present an~ difficulties -- an inspection of the profile is the o~iy ·

thil1g needed, With small rivers and creeks; especinlly in regions sub .. . ject to .floodn and having no wcll~dcfincd banks and high~w.ater channel,

a. more ex.l:cncletl in'Vl~udgc.tic·~-. lt; ti\~cczf.;.;:ry. '£1;.c. ~cquid.te w,:;,ter .. w;.1y . should ba cfoterru:i..ned beforo the pcn;mnnent iron bridgco are constructed. ··

r: i In brief.· the process is to find.the flood discharge of t~o

atrerun and the avcrngo flood velocity nt the bridge opening •. Theil: :quotient will give t:h~ necossa;:y area of tho opening, fa:om which the

·'Width· may be dct~i"mined. 1 _,. . \ .

~~e flood•discharge,can not be. taken by the .more cccurntc :method 6£ finding the average velocity of.the s~ction by the ~urren~ meter

0 for even.if the ~ng:lneel:' were present at: the time of the highest.

... water. known, tima and ·other circumstances would not peri:nit tha gauging. . . .. . ' .

• ' • 11

·.·The best method is to find the sectional area of water sense, and in connection with the slope calculate diechorgco . · ... , , .. ·' - ._,_· ·,:

j

the high~ the floop

... T9 this end select: sevcrnl sectiorio above or below the bridge

e.t points irhsro thfl high 0 wat:or m!l.'Ck may bo certainly and accurately . · det:ormine<l end t!t diat:anc00 cpart: depending upon· tho· size of tho stream •

. . .. ·.·· •• : •.•• t;;i S. ca

._, .. · "{ ~.... . ~ : .

~·· . . - ~ '. ' -

. ·"' .. ;·~··· .

..• ;·--···

Page 76: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

.. . - •<.

. . ~ ·. -. / ·' ·.

-··:·' ..

.... ·. ',- ..

.. lf o. tr.ibuta!.'J'._~en~_Orc between the section nnd the. brid[;<:, Hs <lisch.::iq;c must ba determined .a:i.mi.lady and applied. ·.Select. a3' st:i..~aicht nn<l uni~··

· fotr:J. a reach ~a:. poaoiblcj for b(~t\dfJ~· crooks, obstru.ct:!.ons and other irregular1tien !~ill incraaae the c~ror of the r~sult. The stream it&clf

· may bQ; eounclccl ·in a bo.:i.t x-owc<l in r.'..\nga or. oocux-Gd to n "rope o t:.rot:chacl .a~roso. tho otrearn. The rcmaincle·:-: of ·the cro.r;s .. scction rnny be· ta!ccn in. tho us,1.;1111 we.y of leveling to secure a profi.le.. Care muct: be to.ken that the npction is at right angles to tho current. The heicht of hich water

l :ta· the .moat· difficult '"-nd unnatisfoctory dctaJ.l to be found. The posi~ t~on oZ drift Rood. nn~ tho ovidcndo. of ros{dcnte'will bo tho princip~l .~eanoc Divargonca of opinion and irreconcilnblo c~idoncc must be sorted Ol;lt by .e.n e)~erd .. £io 0£ ccirl.mon ocnEJCo In any ·caso high watch on one b<J.nk o:r. in tha rn:!.cdle of tho stream m<'.1.y vury conside:cably from that on the other ~lcleo From tho accepted notes tho arc~ of tho flood discharge is ·calculnted~

.. ;~-. --, .. , . . .. ~ ... The slope is. best determine~ by t.aking the elevation of two

vcll-defined hieh-water mhrks, one ab6ve and one below the sccti~n and at least lpOOO feet· apaitt provided the reach is ~traight and.of nearly 'unifon:1 eccti.on for that dis.t-:mcc; or it may be found that the .slope of ~the stream at its usunl stage will give.fair results. In case 1of low

····water cl7: none~ the fnJ.l of tho bottom :of the channel ·wil.l g:tvc 1the . slope ll;pprm~iriln.tely. If the cr0$s-vcction of the channel vnric:\S much, ..• neithel: the olope of the bottom uo:i: of high-water w:u1· givo the proper'

..

.f

·. incl i~ns;cicri o • .· •. . · ·. . · .. ·;; I• . I ••

. i: . . ,, . Various: formulas. have been proposed for cs timating the d,is ..... , · chnrge~of a st:X'enm or open chc.nnel. Most. of them are of the fo.rm ... ; V ·"" c RS~ known as the Chezy formula ... In this Y. "" velocity in feet . per second~ S ~ rate of fall or sine of slope. R ~ hydraulic mia~

.. ra.dius '.I'll! e< -2J.'.'$8., __ •· £ = a' coefficient, formerly t:hotight to .be , ~ \rntted perimstcr . . . · .·.

, constan:t, but now kno;.;n to be vari[lble and to depend ·upon roughness of Cb ~n,..,, .-.-. .-! c!·n~.,.,.-- -t! !'r.ro"'-ir-..-.. o-!'! th ... ·,,1-.,..,.,~m ''D""' O"'n"h . "'lGp" "r~d e ... ,,.,,., .. ~ .. ,v .... {..~~-:."_. ;.""··•'·o~J vL. _.,._,~,,.lo ..•. -:. •. ,.,. • .;;..Ci ~···"·'····~·:; \.• ... -.. "'~ ... • ... ~,..L .. ::Ii c- J ..... <A·•- .~,a

· .. Up!Jn tho velocityo In fact tho velocity does not vaty as. the n quara ·· root of! R and Se 'rho t'om.ula. io based upon thci assumption that the reaist~nce to flow vc~ies as tho squa&e of the velocity and as tho

. ,p2:opo~t1.on ot tho wat:el"· that is in contact with the wetted surface, neithe:i.r of \-thich ie exactly true •. · Ftcley' s formula for conduits, V ·cs c RP2 sl/2 g:tvea close rcsul ta" for the kind 0£ chnnn0ls it: was drir:t vcdi from o • . : · ,· ,. .·

1' · >Howcwet', •the form of the Chczy formula is flow generally accepted~ •rid a modification io mado in£ according to the othci conditions •

. Kutt:er'a fotmula for this coefficient is . , 4lo6 + 1•81.l + .00281

C 1!11 n S · · 1 + (41.6 + .002Gl)

s VA-~ . ,. . n

! .... .. ..

\;hara n 1.o a cooff:td.ont of resiot:anca of. the channel with values val.-y-. ~ng from G030 co 0035 fol: tivorn. lfo.milton Smithu Jr. P A late ~uthority

. -···· .. . ' .· .:·:..: ·. ff,.1 .. . t~ ..... ~·- .·;. .· . ·,.· ... ~ ... ·-. ___ :._ ___ _. ___ ., __ c .:,,_, __ .......... ,_,,.,. "" ~ .. - . ·-

. .., 6 . ·.: :~- ... .

. . ·:-:· .. :.-

... ; ... :~·- · __ ··---- , ___ :_ ______ : .,~- ---··- ---~

; '. , .. ;:..;;_···· i

·~

. . . ~ :. :

i

~ -----·-·--·- . ;

.·•

• ;

l

I

Page 77: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

~: .

i

···--........ __ ..., __ _

..:".

;·.'

··.:.·· . -, .'-

'>-.: .-...... · .. _ .. ; ··· .... . :;·_ · .... -..

.. - :.-· .. - :

. I . . . . ·. . ... · . . . . . . .

in hydr~~1lics~ rejects_ Kut:tcr's formula a.s untrustworthyo He fu1

rt:her ·says: ':'For conduits or canale with rough channel, we re·g.:.rd it as almost .uocleas to propose llny other. formula than v·~.c ."R" ·s·; ic is impossi~le to qssie;n with any ~caconablc degree of ncc.uracy .nny nuruer.;.

·. iclll va.luo to tho rcois tan cc of the channel for s tr€!runs ~ .and as it ia . ·such e ccntro 11:!.ng quantity in any equation of which it· form ... <> a pm:t~ · · euc:h unccrto.5.nt:y muot c.luuys mD.lrn ·tho· equation. simply app1:o:dmnt:cQ 11

For our purpose then it will be best to· use .the Chezy :ule.11 using the judgment: and cornpa.i-ing \.tlth kno~-m v~luea of£ ett'?nnle that hiwe bean gnuged.

form 0

for

Irrigating d:ttchG& with.. r.ough ·a1.dos ~ charp c1.n:vesR fnU '6£ ~"--.­, 15 to 20· feet to tho mile .and d~pth 0£ 2 to 4 fooC 8 £."" 30 to· 50 •. ,

1 • ·Cree kn and sno.11. B treD.rM v with uneven chonnels und many

- · · · , obott:Uct:ionsii c t3 .50 to· 700 • • l • • ga , f :~:

...... _,,._

· , · ... · .. Rtvars with omooth banks and channel a.nd strn:tght: couroo, . ; £ 1:1 1100., • For larua riv.:ire this must be· increaso<l. · ·· ·

·,.· ... · . . . .

~ . . Fortunately, for our purpose the absolute volume of discharge_ is not necoasary, since we nhall finally divide ·cha discharge bf the

'velocity 'nt the b1.":i.dge to eet the required nrea of water-way, ·and n .. i difference in coefficients will not:. show a great discrepancy •. ··. ~-.·. ,,,

. . : .. llaving calculated the v·Glocity, roti~.tiply it by -the area- of · · · ; cross .. .oec1tion to determine the voiuma of. discharge;· average the qur.i.n­

, tities fou~d from the different sect~ons and $et the average velocity. : If tho situntion adrnita i.t, one of the sections should be nt the· b:Lidge '·opening. · By dividing the total disch.n.rgo (uoin~. the nvorago -of the ; differcn6 calculations) by the calculated or on assumed volocity at the bridgo~ the necessary e-rea of wa.ter~\1ay i::i obtained;· ::hen, from the

I de"p"th end· crosa 0 11c"ct:lon of the channel I the nocossary length and : : beight of· the opening. is foimd. Large discrE.ipa.ndea may be expected : in the reoultli} fot. tho cliifan:cmt: sectiono. · ..

_·1.

·•: ·. · .

I • J .= ·· ..

. _·~·~. :! "\ :·· .·•, _:

>"" · .. · .. : .J •• -;· : .•• •.

. ·J . ;'. .· ... :.

:\··

.. .. _ ... __

·:·.· .... ; .... :·· . ! ·.-: -:' ... .·.·_ ..... -· _:. .· .:- - ...

...: .: :::.,, . ... . ~.

- .··:

'I.

.. . . : ··~ . :;~ ·'. . . .

. . -·~. . ' ·' • .. ·. ~ .

.... ~. . .. : ...... : : I :· .•. ~· ~ . : .: .

·. ,. . ' .. . .. ·_·_ ·.~~. - 'r ,·

. . . . . ·-·. :. : .. • .•. '~

:. ·~:. '·;·~ . .-·-~·-: ~- ... }~ •.. ;· ... :.· .. ·- :.· · 1. · . .' .· ·., .. .... ·.·-..: . ..

~ . . .. . . ~ . ; . ·.. ..

·' .. : .

.. -·,.

. :·. - .. · .. ~ .. :,_. ;; . . .

. :, :. . .... .

·.· - · .. ·. :~ . . ··:-··· • ...

. -· · . ._. . ·.~ _: ...... ··~-~ .. , . : ·~·

.. ;- .- .

: .. : ..

. . ... : · ..

- ..... · ·.~·- _:-::...,_: -: ...

. : '.· ..

... ·. . · .. :. :: ~'< :.:· ... -

. ---- ___ ,, ·- -.--: .... __ ·, __ --·-~--------: .... ~-- . · .. -~·:: . . . -.· ..

..

·.~< .: ~;··.;· s - -·····./--- --· ...... :.: . . _ - ... - . r.,---·-.

Page 78: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

~, ... "

'. . . . -·:. ··. ..

:.··.: .

. ·. ·.· .. .... ; ~ -

. :· ..

'·.

. -. ~

·. . . (b) . I\ -.,,(t. _. ·_; (J'JS) \1:_;~~~ \ ·-.:·\A

. . . .

.. -·.· · ..

.:: .... ~ . .

.... : .. ·· -. . . : ·. ~o .... ·.-- . - ·.. ·._ •. - .

~o ~-;;;~ f-·-~~ O a._ bova bridge . . ~· 3600 1J q. ft. in 300 ft. width

r . . . . . . \., 36.461 8 .• q. fta in 15~? _.£t. width

Lo L-1-.~i_1..-L ,_,,, - . . , r !.,._1_}~1-l.-s.~. J 0 .1000 . ·2000

.•· ; .

·" 1 · AS. an illustr.ation of what I mean, I give the record of ·· cn.il'.V .. eys 6.f Apfohapa River :f.n Color<J.do, Two cros8~sect:i.ono of the stream, one 4,000 £eat: and th~ other 18,000. feet·'above the bridge, are given. 'rho ,bnnke wore;; overftowed end tho shallowne:crn 0£ tha out:(:ir sections · r~qt\ircd 1h smnllor e, so in the calculations tho crosspsect:i.ons «1rc

. . divided :f.ntO tWO CO;p.3.l"tmCTitf.l t 8 shn_llOW ond a deep One I the latter-<>·· ·'·

' .

"

· · . i~~lbding the portion or the nection within the piincipnl banks of the .. strcilm. 'then separate computations are made fo:r: each compartment·;· The

···· ..

~ h~di!ulic mnnn depth: A, is found by dividing the oreu o~ either portion· of tho eoction by ita wiclth. The coefficient ,£·is af.is\.tm;:;d to be 90 in · ·

· tha cleop potc1.on end 'lO in the shallow. The resulto are shown as follows: .:· . •: . ·. . . ..

·.Deep Comp. 90 Shallow Comp & · 70

I.

Area in. Gq. fto

4,376 . 2,619

T6tal . 60995

.. Section CH ....,.., --"\

R

9.72 1.64

s

.0018

.0018 ·-: .. ·:

Avete.ga veloc:tt:y, 8 .85 feet per second

. · ...• Section :rj -Deep Comp. 90 3,~00 12.00 .0018 Shallow Comp., ·70 3. 6!}6 2.43 00018

Total .. 70 246 I

· Avobage v~1ocity, 8. 90 feet per second · AvorA.gG v-oh1r.uo of. 9-:!.s.chcn:ga 9 63~179 ·-"

,;: ~ .. . ·.

~. - - ~. '. ~ . . . .,, 8 · ....

... , .. v Volume

11.88 51,986 3o78 9,900

. 6lp806

: . "

. ·-.~

.·;. -:

.,

..-------- - ~

' \ . ~

~"

'.

t. I f , f I

t i i t I • : ! , i l i !.

/· ' ; l

t f j I l ~-1 ~

r <

r· . ~

I j I

i l l !

Page 79: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

. .

- ,-;

-.· · .

. . ,. . ~Bing the L:ffiC slcpc for th0 section ae the bridge opening~ the.,vclcd.ty there would be nearly: 16. Since at this point there ccr0

tainly would bo b,.n.Gk-w<'1tcr f1.·om th·e rivet, ·this value wns .thrown .out:, And.the average of the velocities in ·the deep compa~tm~nt of ~he other sectionsJ· 12.5 f6ct per second, was taken ns the average velocity at

- t~a.bridgo cpenirlg. Dividing 63,179 1 the averaza volume of discharge. by thin vcl.oc:I.ty, ?ivcs e necessary wate:>·wuy of 5055 square feet.

•.

. · ;. ·. Ai~ examinntio~ of the profile nt the bridge will· dete:cmine tho len~th of span necessary to scc~ra that w~ter~lray. However, in the ~ase

· rcfo'rred to 1 it:. was dscidecl to e~ccci.viltt:i the chnnncl from abutment to D.butm~nt totha depth of the bottom of the strecim.· The result:tne. uni~ fOrm t!.cpt:h .was 25 feet. The ar.ca of wo.tc·1:··wa1·, 5055, divided by thia depth~ g:i.vca 202 c.n the neces.s2.ry width& Tl~e. span rouce ba · inc;:cD.s§~ to al.low £01: thG cmomi.t to.ken up by the piers,· etc. . ,·

Not enough. importance is at:tuchcd to tho shape of the channel ~at and below the bridge opcn~ng. Even when the channel is cxcavat6d to tha.full:~idth of the op~nins un~er the bridge, the fuil capacity.of tha bridsa o~ening will nvt b~ utilized unlass the cnlat~ed channel is~ . ext<!nd~d ".do•..rn strcnm unt:!.l the flood water has a chance to CSCC\PC over the flnt~el6w without n reduction in vciocity and a·c6nsequent obstruc- .. tiotf to the water thnt: is at that t:tme com~ng through tho opening. In ·· ·· factp thi abnpe of the chnnriel just bolo~ the bridge has as much to do-~ -

... witll tho 'cupncity na tho opcnlng itself. 'Above the bi-idgc 1 ._.,hatcvei0

may be tho ohe.pc of tho opening, th8 pressure of th0 water on e.11. stdos and .~ho tendency to dam up tc.nds to, force· the water through 'the opcninG.

. (' . . . 'With; increased veloc:U:yo Bolow it, any decrel\Sed. section or turn.:in the courso obs l~:CUCt.D the current: and greatly impedes the velocity Of \fat:cr

. at that time flowing th;:ough the opening& · The principle is similar t<;i

t •n.,. '(,'·u•-.·::?'~ •. !,.'- .·. "., ... "' .. ~ r._ .• ,. ·u··--' ~-t·· ...... " r.··~-···.f~··,,~•·r -:.., n ..... ,,.-r~.. ~-~."n" . ...J ~.::.J• k~o.bt.1 \'lJ..c..U. 'b-\J"- \1 """~ J..V!~iH C~C.\ ""-1. ~·:...:; v .. ·.1...rv._~,H-......,.;.~~ ~·" "- 4. .. J u- •• ..._,~" · ""-il·.:.\. .,/

· ·. ·. :·· bridges' have come· t1ndcr [ny observation ~~hose efficiency could bo d'oubled · 'with U.ttlo e~cpenae by modif;y:tng thEi ch.Ol.nnol in. thio wayo ·

It was my inter~t1.on to treat the amount of buckRwater caused · by the: contrncit.ton oi tho clrn.nnel at tht<i b;::idge an.d by the obctl.·uct:!.on · of th0 pio?:'Dn but tho length c£ thi.o art:iclo l:equib'es t:ha.t that subject be given il\ a s@pc~?-to p~pot'6 .. ·; ·

7 :- .••

·.,

-,_: . .-··.: ; ... ....

_- --~ :. ·=; ..

. -.·: - .

• ... . .

: .. ~-. ·- -..

: . ~ ~·.: .·.

, ..... ~ .: ":'~ .-< .-. :: . · .. "· .... -.... · -··-

~. ·.:·-·. !·.; __ ~-:·: ·~·- .•. :: ... -~·

USCOHV,-?R-DC

:.

~ .. .· .. -- . .. , . . ·- -

. I

"'~ .... ...;

..

I~~~===: • ~· ..• ·" .·,_. •', · :,,. · ~ .~:,. :•;' . '· · :_,,,.,'. · · .~ .9;:. ·' .... · '·'+)~'!!'· so• • • ·:r •~• "" ·•·· • • "' -.,;c : 1 l ...,...,..,.._...,.~~~-'--~-· ~~~::<""-~'"="-,,.··~~--..,...,..~· .. :~~-~ ..... -,~-~"""""'-:--;:-.-·-..,:-:-.. ~----~.......-:""",-.-~.,,,--~_.,....~---·'··

Page 80: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

75

Appendix B

Cedar River

Page 81: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

. -~

5-4645. Cedar River at Cedar Rapids, Iowa

i,(;ca·:~.i~n:--Lal..41 cleg.58 min .. 20 sec·., long 91 deg.40 rnin,.05 sec., ··-irl SE14NW~ s~c.28, T.83 N. ,R. 7 ·w., on right bun}>: 500 ft upstrea:;-n

·f:nxn Eighth Av-enue Bridge in· Cedar Rapids, 2. 7 miles lipstre_ari1 -f{cirn. Prairie Creek, and a._i::. mile 112. 7 above mouth of

Ga.ge ~ :...-NonrecorcJing prior to Aug. 20, 1920; _ recording thereafter. · Da-t:u..rn of gage is 700·. 47 ft above mean sea leve 1, da twn of 1929.

- . . . . . . . . r

~s~agQ-dischar~~ relation.~~Defined by cur~en~~meter measurem~nts . ..

~ •• ·1 -. -- ~

Re.ma:r;Jrn.----Base for pa:rt_ia_l-duration series, 1?,000_cfs. ". .· .. .- , .. _ I . : ...

. Wq.ter .. y~ar Date

disc}-iarqes . Gage·

heioht . - ;;J

(feet)'

..:. .....

-----· Discharge

.. (~f s).

· _. -~~l_s_• ~-1 __________ -Ju.!1~. e_c_ ___ :, · ' -cr20 _ ---.----------a~--65, o OQ_ __ _ . J

_May_ 31,

-1904 Mar. 2?, i· ~ .

Mar • 23, _Ma_y 26,

Y9_o_s . 'I".

reb. 28, -

·.1· ci'(i r. ,. '_1 _, ·.:.:I, .

Mar. 30,

July 20, f,..ug ~ 17,

.May 30, June 26,

,;, •I . . . -1909 Mar. 30, •.·· ,. • . Apr. 22,

. -=~J_:-~~ -) . (~- Nov. 19, ~ 1 ·: Dec. 2,

Dec· •. 11,

. I

l~lO Mar. 14,

l~Jll Feb. 16 . I

.Apr .. 1,

1903

1904

.1905 1905

1906 1906

1907 1907

1908 1908

1909 1909 1909 1909 l.909

1910

1911

1912

24 • ••·-• ~-••-·r• •

16 ._85.

. -9.05 8.1

8.4 17.6

8.5 8.2

8~8 . 8. 0

9.1 7.4 8.0 7.4

·8.4

9.6

7.1

17.2

.1

53,600

11,800

23,000-< -19_, 000 .

;L.9 ·, 400 55, 700 <:.-

19 I 8 0 o,..-;:---18, 600

21, oooc:--17, 800

22, 100<~ 1'5,400 17,800 15,400 19,400

. 24 ,-100

14,300

:i4, 000

Page 82: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

5-4645.

.: .. Wat.er .year

ceaar River at ceaar Rapicls I • Iowa-~ (Continuea )'__

- : · ... ·~ -

. Pea.1~~,!:~Te~ an¢J discharqe_::;_· __

· · .· ~ ·. · Date Gag.e··

.~· heigl-1 t

-----'-------~-

Discl1arge (c·f s)

-'--------- (feet:) __ _ ---l9f-3-:--~-.--..-r- ·Mar. 18, 1913 9. 2 22,500

,. 1914

:. · 19i5 \ ..

. , \.: ..

·,

19:16 ! ~ • . · .. -.

. : '1 -

: ·• · .. J.9i7 .. . I.

19~8

.. '

: 19~0 . ) -~- :: . ~

. _'.J.921

. .. 19e2

1924 1

'19Q5 1

i .·.

l9i26 .·•

:- : . 1927 • I .

- .- ~ I .•

19Q8 . i

i I

19;~9 I

~

' 19!30 . ·-.I ..

..

., "·

..

·-· -·

-; ..

. ..

.•

June 19 · 1914 I

Feb. 25, 1915 .Mar. 28, 1915

·June 2, 1915 Sept.28< 1915

Mar. .Apr. · J·une-

3o, 25,

6,

1916 1916 1916

" .•:

.. Mar . 26, 1917 Ju,ne 13, 1917

June _ 7 I 1918

Mar. 20, 1919 Apr; 15, 1919

Mar • 30, 1920

.. June 1, 1921

Feb. 1922 .· .. 27~

. . ~ . -. Apr . 4, 1923

.. ·.·Aug. 22, 1924

':.::· J\me 18, 1925

: .Sept. 21, 1926 '•

May ·2s, 1927

Feb. 12, 1928 J'i,ug. 29, 1928

Mar". 18, 1929 Apr, 20, 1929

Feb. 24, "1930

~-25

7.8 17,000 .,

10.3 26,800 12.0 33 600~7-

I .

11.5 31,600 9~4 23,300

10 .. 0. 25 I 700'(:--7.4 15,400 8.1 18,200

1.7. 4 54 I 900<-:::- . 8.3 19,000

lL·O 28, 200 _

11.4 29, 700~ 9.4 21,800

7.6 .14;800

8.40 17 I "900

9.1 21,000

7.80 16,000

10.54 '26,300

7.00 12,800

, 6_. 70 11,500

6.77 11,800

9.5 22,200 11. 05 29 I 200<E--

20:00 64,000~

9.3 21;400

6~90' 12,200

Page 83: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

~-

~.

. . '

I 51 I .;:~

l [q l ~l

.

~ '"i

~ . .

~ . . ' ml ·~~

~ . .

~.

' '

.

~ . .

I ~··.'.~. ·~,~

._·; •. i

KR l .. a

~ . .

1932

·1933

i934 .,

1935 I

>

1936 •'

i· . . ....

1937 '

1938

.~939

1940

. -1941 '

'1942 ' . ' . ·' .

1943 I

1944

·1945

1946

' ' .

19, lOOc-~ .17,900

58,400

8,620

".26, 900

22, 700 <:--20, 600

22,300 40, 700~~ 23,500

. .. 12, 900.

19,700

. 5,.540

'17,100

19,100 33,9002-

15,800

17,900 29: 100~~ 20,300

52, 3002-~ 19,700 21,200

: .

27, lOO·~ 21, 200. 23,700 16,200

1:--.,,, ~....::.~~:

C·~-.··

2·,

I.-,_,.,,.

. .. .. .. -: ;,•/-=.......::.

["::-·~

...=......:..:

[ '" ~-.. ~

r ........ . ..

.. ,.:..,

r-,-: l ,:.

Page 84: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

...

-~: . ..

5-46~5. Cedar River at Cedar R~pids, lowa--(Continued)

. water· I ye~r . / . . . I

~947 : . /· ,. . I·,

·! !

'1948

19SO

1951 I~ •

). I

1952

1953

19$4

1955 I

1956

l957

1958

I 1959

I

i . I

I • .

J?eak stages and

Date

Apr. June ·June July

16, 6,

16, 6,

Mar. 3, Mar.· 20,

Mar. Mar.

Mar. Apr. June

Mar. Apr. May June June July Aug.

"Apr.

Aug.

June

Mar~

Apr.

June

June

Mar. Mar.

7, 31,

11, 1,

26,

27, 31, 11,

2, 3,

30, 10, 30,

5,

10,

26,

5,

6,

20,

13,

21, 30,

1947 1947 l947 1947

1948 1948

1949 1949

1950 1950 1950

1951 1951 1951 1951 1951 1951 . 1951 1951

1952

1953

1954

1955

1956

1957

19~)8

1959 1959

' 27

. Gage height (feet)

8.3 13.5 18.23 8. 6

1"2. 82 12.6

11. 75 8.3

12.45 9.8 7.9

_b12.51 13. 54 . 17.22 13,45 8.42

).2.00 8.35 7.56·

10.40

·.:1·. 29

14.02

bs.67

4.69

6.00

4.58

. 8. 75 9.77

----· ':..-.----·-··

Discharge (cfs)

18·, 000 37,000 56, 200~~ 19,100

_34, sooc:-33,900

30,800~-

18,000

33, 000""~ 23,400 16,600

a30,.000 39·, 300 54 I 100<-2:-38,900 19,400 33,300· 19,400

.· 16, 300

27,000

15,200

41,400

a 8,100

5,400

9,900

5,240

21,000 25,800\2-

Page 85: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

~ . ---

' -

-

I

·__ _·_

- ~--- '~{ [1 i,,

·~ ,,, , ~ '0 ~.1 ' ~·-

fj~ -~~~ (t,

1 ,.,.-.

-

:-JI- ,~ : . . ,

~ -' '

1963

1964

~~~-~~~~~~~-

b About Af f ectea by ice

~-?

/'7£? ,.4/7-­

/ /-15-P

May· a, 1964

Mar. 6 ~ 1965 Apr. 10, 1965 Sept.26, 1965

. ·. · .. _.._··

. . · ...

·' .. ,

·. : . .

4.43

11.19 18.51 10~04

- -

__ ·)Or~/:::_. __ - -

. #_/:?.~- ~ /9'1~-- ·. - .... 8-', 7? _-

::_Jo(://~. <_f.6.9. . ··, .·.·. . . - -.. • ... ·.: . : ...

... ·

. . . .. . -· .·. .. · ".;

...... . . .. .

"28

... ·

4 I 270 -

.32 I 100 _66,800<~

27 I 200 .

. : ---?42,Qrl ~/) - ~-

·_:·/C::ooo· - I - . .. ../ .

--22200 ""' -- - _,/

Page 86: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

~ . . .

I , I

. i~tlor;in(br.idr,e,brjdgeOJ.) ~ nno MORNING; U~ER·05; TIME 11:20:59 9/18/70; bloac! (lpear3~ 1

ie~ 1 / .

~nter n~me, .dr~inagc area and r;age nunJ•er of \HitersJ·cci. -Cf_ e cl a r R 1 v e r . 1 6, 5 1 0 sq • mi , Gar; e t•! o • 5 - !1 6 Ii 5

Any chanr:es 1in ir1 e:~tific2t!n:. i:·:'t:~:? ~:-·tr;· ;,:r~' ('.t· r.r·,

~rtr.r nliri1hcr c:f yr:ars of reco.rd.

t 6_ ~ y c ha n g e s ;l n v a l u e of N ? En t e r ye s o r no • l • _no.· l t~n: va)ues' of maximum annual clischarec.

Y(2)

, 11800 I Y{3) 1 1300.0

Y(4) &119000 ~y ( S')

19800 mY< 6) ~11000

y ( 7)

E112.2100 ~Y(8)

11110 0 Y(9)

1~ii~~ 21~ 0 0 0

mY(ll) ~ 12 5 0 0

y (l 2)

~1700 0 ~ Y(13)

}3600 y ( l lf)

l?l 15 7 0 0 ~YC15)

2_!1900

'

Y{1G) 28200

11 Y(17) j 29700

! 'l~m J Y(l9). ;1 !'@ 17900 ~ ttlYC20) .~. 110 0 0 1 YC21) l. 1 r n r

'. '

. '

·.

Page 87: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

Y \. L L ) n 2_ci3oo ~ Y(23)

_12800 FJ Y(24)

~ _11500 YC2S) 11800.

~ Y-c2G) H 1.9200

Y(27) mt _§_lf000 --~ Y(22)

. _12 2 0 0 (§ Y(29) 3 3270

YC3o> 19100 , r~~~~ YC3n ·

~ ].620 ~ Y(33)

1.6900 y ( 3 11)

, f~~~~ .!£0700

t2i Y(36) a _i2900 ·

y ( 3 7 ), ~ _197 00 ~ Y(3·8) ': 2_5 4 0

Y(39)

, ~~t~~ }.3900

~ y (41) .

~

15800 • YC42) ~ 29100 ~ YC43)

52300 y (4 lf) , ~~~~~ .2_G200

, l~i~b Y (Ii 7)

f01 }0800 a v c '1 s >

}3000 Y (If 9)

~ 2_1r 10 O ~ Y(50)

17000

iv Y~su t11=>200 ... y ( 5 2'}

11l110 0 ~ f;':l_ -ycr:7). ·1 r.11 - .} ;1 & 8100 ~ -1 y ( 5 11 )

it_ r, 110 0

(£' 1~t(&

Page 88: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

.. f Jl.9 0 0 . ~

.:, Y(56) ..2.240

,. Y(57) 1 25800 ~ YC58)

.--··55100 ! . YC59)

13000 Y(GO) ..2.0000

·Y(Gl) 15600 Y(G2). -'1270.

·Y(63) .§.6800

I Y(64) 19200 _Y(65)

\ . 1600 0. YCGG) 22280

, "Ye 67) i. _2.Lf500 ·

Any changes, yes.

r··\'Hiich.Q?,

in discharge in~ut? · Enter yes or no.

fix· li

r~· v c 11 ) _2.5700

.··: r •

; Any cha nge.s, yes ·

in discharge input? E~ter yes or no.

J- Which Q? fix E:.4 y ( 11 i1).

17100 r .. ,

Any changes: in discharge inrut? Enter yes or no.

f: j I,}

.J

·-

!J.O

M== lt.353 s:: 0.307 g::

Enter K val1ue corresponding to recurrance

interval ~nd value of e~ ayk 1. 7117

>

.;.. o. 552

.... ·Any chanr;es: i·n value of K? Enter yes or no. '.'no -. 1

··Enter recur 1rance interval in years. RI

1·1 ..2.0 r A l . I '1 n"

-~. ny c11anies, value ~f ·recurrance interval?. Enter yes or no. no

, .1 Ceclar· River·· 6,510 sq. _mi;

• r -

I·-. ' . '

Q= 77588 cfs

f~ r• r 1 1 r I' ;:i n r " 1

! n 1· P r v ;:1 1 == Cj (). \/Pri !~<:;

Page 89: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

-r --1 .Do you want Q for a different

Enter yes or no. r· _y_e s

r·- EntE!r K val'ue corresponding to l interval -anc:l. value of g.

ayk •, 1.916

recur 1·c:incc in te 1·va 1?

recur ranee

!, - t~ny changes in value of K? En t e r ye:: :-; o r no • :no Enter recurrance interval in years.

, - RI ' l - l_,00

· /\ny changes,_- in va 1 ue of. recur ranee interval? Enter yes or no. r·-- no I .

I

Ceda·r River 6,51o·s_q. rni. Garr,e !fo. 5.-1rG1~5

Q= 8744~ cf~ __

Rec LJ r ran c e : I nt e- r v a. l = 100 yea_r s

j~ D~ ~o0 want Q fo~ a differe~t recurrance 'interval?· Enter yes 0 1r ·no. yes

r-· - Enter K val~e corre~ponding to re~bfrance

, _ inte·rval an:d val,ue of g-. l · ayk .

1_.060 An y · c ha n r; es. i n v a 1 u e o f K ? Enter no En t e r rec u r ;r a n c e i n t e r v a 1 i.n ye a rs , RI 1.0 0

or no.

Any changes: in value of recurrance i11terval? I

Ente·r yes or no. -- no

I f'i _I

. ) l ,;J Cedar River,- G,510 sq. mi. r_<:i ge No. 5- ~- 6 115

,---, IJ Q= 9G828 cfs

1_1

• Recurrance !Interval·= 200 years I . . -· I. '

. I .

I

Do you want• Q for a differ.ent recur i-::1nce interval? Enter yes or no. r--.1

l : i .no _ .. __

Do you \·1a.nt'.to determine()_ for anotl~cr v1atcrsr·ec!? I·· Enter yes or no. 1 ·no

i 'l :MD OF JOIL

· 1 lC)[';OU t , · ' T UU ~ 0 0 : 1 5 : rJ. G ; Pf'.. GE 0 0: 2 ~: Ii 9;

·.

·tTIME. 11:3G:R5; JIME USEh: CPU OG ---~:-- r--.--.- .. _,_-:-_ ·----.-~"'- ~--7" - ---.•···~:--·.·----·-·-Jo··---·~:_·~·-··,.:-.··.· . .

~-~-.r:--;--::~1·-:--;-~-~- .•-.. __,_ ....••..•. -~.·-·-:--·:--- .-.. - ~ ......... - .. - ....... :·~~ -·· -·-··":"""···~·.···~-· --.... -.. - .... -· ... ·-- •.. ,.

Page 90: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

/

'

..

85

Appendix c ·

pine Creek ·

Page 91: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

'T, ·"'

:J I

) r-.

t j i -

. / '

I : .. i ~

I ! . 1·--··

I

. / ~

••

i i

I

: · 5.,..4212. Pine Creek near Winthrop, Iowa

Location.--SW~ se6.J4, T.89 N., R.8 W., at Illinois Central RR brldge, 500 ft upstream from u.s~ Highway 20 and 2.5 m:lles sout11west of Winthrop, Buc11anan County.

. . I .

. . I . Drainage frea.--28.3 sq mi. .· . . I . . .

Gage.~-c~est-stage _gage. Datum is arbitrary.

/ ,Stage-d~scharge relation.--Defined by current-meter and indirect

Rernarks.--O~ly annual peaks.are shown.

Peak staqes and discharges Water ' .

year ·.Date

1950 Sept. 21, 1950

1951 ·.·.··.June 2, 1951 ... . .

1952. Mar. 10, "1952 .. . . • .

1953 ... :Feb. 20 I 1953

·1954 : :·Apr. ;30 I 1954 .

' . 1955 Feb. 20, 1955

J.°95.6 ·\

. 1957 • ;·. I

June 1.7 •. 1957 .

1958 -· ..

1959 ..

1959 '-June 25,

1960 I

Mar. 30, 196.0

196.l . Mar • 5; 1961

19621 May r· ->I ·1962

. 1963: . ·Mar. 18, 1963

1964: Apr. "') --'I 1964

2, 1965 ----· /9c::;;' ~-5-;12 J . . .

Gage height (feet) 21.70

18.74

13.47

13.43

12.35

12.19 ..

c ..

13.27

c

13.94

15.17

1'2.82

16.68

13.17

12.78

Discharge (cfs)

14,500

10,600

1,070

.. 650

. . .., L

/0

J;

..

. I?

590 J?

300.

990

200 Z,0

1,360 q

2,450 7

800 /5

962

14 ~§..~_ -'·- ·- - . ·--·---~:.J.1 940

. I

Page 92: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

, . , . .

~ . ' . , .

'

' 1~;;1 l ·1; J , , .

. . , . .

~ ~

J m. 1 '& l

. ,

. ~ ·~

.

xeq Enter name, drainage_~rea Bnd gage numher of watershed. Pine Creek 28.3 sq. r1i. Gage_ No. 5-11212 ~ny. c~~nges in identification input?· Enter y~s or no. no Enter number of years of record. N 1.0. Any cl~anges in value of N? Enter yes or no. HC? En.te r values YO) I

1115 0 0 I

y( 2) :

10600: Y(3) '

1090 Y( It) 1070 Y(5) , _g_so Y(G) .2_90 '·

Y.C7) 300 v·< 2) ~90 Y( 9) 2.00 Y(lO): ]_360 ;

,.

Y(11) 2115D : Y < 12 r: ].00 . I

Y(l :; ) I

_2.030 '

y ( lll): 962 Y(15)~ 803 Y( 1G ) 1

J_qr1 o I I

Y(l/)i 30SO I -- I Y(18)

1

-~.3 2 •' Y09)'

. 1112001 y (20)

I 2.U 0 0 /\ny chanrres , b

yes ; Wh ichl Q? fix ?. 0 . : -y-· ( ') 'l ). I

1.~ l 1 !

.?-.~~ (: :,.

of maxi mum annual discharge.

...

:

in discharge i'nrut? Enter yes or no.

f\r· ,l,cinges in discharr~e input? Enter yes or no.

Page 93: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

·E] 9

~ . .

P~·. y.

l i~ t.:

1 . .

191 ~

~ ~

1 . . ,

eyj ~

~ ~

.

.

t!1l . ~

~j .

i 1:. }~ "

' ,

. -·{

.

M== 3.195 S= 0.545 g::

Enter K value corresponding to recurrance ·interval and value· of g •

. ayk , 2. 406 . An~ 2hant~s in value of K? Entef yes or no. no Ente1: r2cui·rcince interval in years .

. RI 50

0.6~7

Any qhangbs in value of recurrance interval? Enter yes or no. no

Pine Creek 28.3.sq. mi.

Q== 32032 cfs I . . . .

Recurrancc:: Interval= I . . . . . . . 50 years

I ..

·Do you \"/ant Q for a differ.ent recurrance interval? Ent~~ yes or n6 . no

·Do you \van·t ·to determine O. for .another \Vatersh.ed?. ~nte~ yes or no. y_es

,. ' .

I

I. I .

: I .1

..

Page 94: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

EJ. il

ra a

, ' '

~ u .

rc1··· '· '

Bi . ~-

~.

' .

IT-1 ~ , . .

m· -~

~ ~ .

.... ,: .

Enter name, drainaie are~ and ~age number of watershed. fine: Creek 28. 3 sq. mi.. 5·"4.212

·Any thange~ in ide~tifica~ion input? Enter yes or no . .!J.O I

Ent~r number of years of record. N :

19 Any ~hanges in ~alue of N? Enter yes or no.

I •

no , · In~e~ valLles of maximum annual disch~~ge. Y(l), 14500 vc 2): lOGOQ

. y ( 3) : 1090:. y (Li) ;

1070: vc s) : . 650 . ; .

YC G); . .2_9'0.:

'¥( 7) ' 200 -: y ( 8) : ·~90 I

Y( 9) I

2 00 ' Y(lOY l3GO i Y(ll) 2_1l 5 0 I

Y(l2) 800 I

- I

YC13) 5030 I ·- I y ( 1 ll ), ~G2 ·. Y(15)' ].03 : ·y ( 1 G )j 19110 ; y ( 17 )1

1050 I

y ( 18 ): . .2_32 I

y ( 19 )! 2.500 I' Any chang~s .in discharge input?· Enter yes or no.

I .no .

M,;,, 31. 133. s = 0. 118 0 0.573 . . I

. . I

Er)ter1

K .value corresponding i n t e r~va l and v <1 l Lie of g .

to l". ·:rrance

·. ayk

Page 95: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

,_

2~. 3 If~ Any changes in value of K? Enter yes or no. no Enter recurrance ir1terval in years. RI 20 Any thanges in valu¢ of recurrance interval? Enter yes or no. no

' Pine.Creek 28.3sq.·r11i.

Q= l8193 cfs

Recurrance Interval= _50 years

Do you \.,rant Q for a di.fferent recu1·rance interval?. Enter yes or no.

·' .. no :Do you want to determine Q for another watershed? Enter yes or no. yes

1

. . ~

. I

.. '

'. _.

Page 96: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

login(brldge,br~dge01) GODO MORNING; USER 03; TIME 9/18/70; load (1pear3) xeq' Entr~r name,. E.ine Creek Any:changes

drainaie area anrl gage number of watershed, 23.3 sq. mi. Gage Mo. 5··11212

i n i cl en t i f i ca t i on i n p u t ? En te r . ye s o r · no . .no Erit~r number.of years of record. N , 18 Any ,chariges in v~l~e of N? Enter yes or no. ' . . no Ent~r values of m~ximum an~ual discharie •

. . YO), 106QO Y(2) 1090 · vc 3) ..

. 1070, y (Ii-):

. 650 : _y ( s >: ·290 ' ·Y(G):

··· 1off I

. y ( 7)! .~90 :· y ( 8 ); 2_00 : Y.( 9 )I i3GOi vc 1 o:> 111501

· Y(J.11) 800 : Ye 12;> 50301 Y( 13p

. 962 I

y (1 l}i) 8 03 .i

· vos!) l

191+ O' Y(lG:) 1050! y ( 17[)

·232 .I

y 0 8i) 2 soo; Any ~hanges in discharge input? Enter yes or no. no

··. ! M= i3. 0 76 0. 110 8

Page 97: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

-~------------

j• .,;;_·

. ~F ·1 ;·:. , .

.

. ····.;"

~ ' . . , . .

'

r;~_-_1 ..

l

L- 1 IL t...:: I .I'\. VUl1...~(....; ~\._ll.~C.:JJ-;J\..JllUJll[_>

interval and value of g, - · .ayk £. 2G5 Any changes in value of K?

l,.\.J. I C• ...... u1 I CllrL..C

Entci·. yes. or no. no Enter· RI

recur ranee interval in yec-1 rs.

20 Any changes in v~lue of recurr<'oiiC2 'j nterva l? no

. ·'Pine Cre.ek 28. :5 sq. mi •

Q=. 107 G 5 cf s

R~currance ln~erval= 50 years

Enter yes or no.

Do. you want Q for a different recurrance interval? .Enter• yes or no. no Do you want to deterniine Q for <:rnother watershed? Enteryes or no •

·no

·END OF JOB •

. -

-... . '

logout .. Tlf.1E 10:1~7:38; TlllE USE_D: CPU 00:00:07; TERM 00:05:05; pAf;E 00:.09:24;

Page 98: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

' ~

' (~" . ·r~:: ·~< ··,;

~ ' ' '

~ . .

I ~

. ...

····..:

' .

l of:: in (hr i c~~;e::; hr i r:;_:r: iJl }_ GOOD 1\FTEf·:i!OOi!; USER.[)!;; -r11;r:: ~:;:1~/:·31 <J/1E/7C; J_o~H·l ( 1 pcci r:>) xcq En tc r nc:H:e, r_ i rw C r c e i~ /\ny chan;;es !lO

H ,, .

d r a i i 1 21 :; e u 1- r:~ a Cl ; : :: ~ 2 f;" s q e . r: i .

in identificC1tini:

:~:c.1 .~:c n·ur .. :hc;r CJf \·;·c1tc1-shec!. c~ n ~.-·: (! u () . -5 - n n 1 :2 in:;ut? Enter yes or no.

/\ny chrnz:cs in V<-11uc of!'.? E1·;tr:r ;:cs ot· no. !lO ..

·Enter V.Jluc;s of 1:1CJ;.:inLw1 c:1111H:C11 <i:=;char;:;e. Y< :L). _l() ~3 () y (2) J.070 y (3)'

y ( 5) 3 00

·y(C) ·990 YCI) ') o· ,, ..

.!::... ; l.J

Y(3) 1..3 co Y(9) 2 hr>· i1

. --=. I .. V·.

YOO) 80G YOl) 5 0 :>· o .. YCJ.2)

Y( 13) 1~03 YCJ..Ir) l 91~ 0 YCJ.S) 3 o:; o Y ( 1 C)_ 2_3 2 YCl 7) 2 :.> 0 0 !,,· 1·1 y c,, -..:1~1 ;. (, ;. '1 ll r . J It:&' l_.;,. • _)

!J.O

' r·~="; :>. 0·2 o

[ n L: r · I~, v <l 1 tie .· cc; r i- <:~;pcm c~ i ; '· · · i11tcrv~,1 <:ind vtilt!C of,,.

c:iyk

Entc:r yes or. n c.

- 0. () c;;

I ·--·---- ----:-- ':!_~·.:,.:..?._c~- ..... •··-L--- -· --~---·:-- ~·-:---~.-···-··· · ---. - --.-:--· .. ---·-·'<-• ~ . . .

~._,;o-n-.. ··-,..,,~··-::_..,.....~-.·~~\"";·-.::-:--n.-~~-=:-·~,•~., -. '":'°:·.,...........~~-::-"°~.-.-.~. >;-~~-. , -~.-~.--?-~-·=-----.~~:;:"~'":'.:"-:~-.. ~. •~:';':"'}7-:!,"~-"":"",'~"":-;--7';:-,'""':f'";'~E'~:""",,._~,-~~ . .. ~. •••-r-...,...---·....--.~"f'''·'•"I"_..~-..-·•":"--...,.-,-,,.,..,.-,..---..~".'-·•·-~

Page 99: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

EJ

~ . .

~ ' ' .

RI

f\n~1 chan;·~cs in Vill ue of rccur1-c:incc inten'ul? Enter yes or no. !J..O

Pine Crc~ck 2 ,, "'· r1 i .

[;.ecurrc:rnce lntc~rval=~

Do you .1:ant Q for ci c~iffcrc;1t rccur1·ancr. intcirv2:l? Enter ye.:; or no. no . Do you 1.12nt. to c:ct2nlii11:: Ct fo1· onr;tl~cr \·!uters!wr 1? Enter yes or nc. JlO

, ~. Er.JD 0 F d O ;} •

~ ' . .

~

~ .

' .

Fill r;:~

~ ' . '

~ . .

~ •

ill. ~ ~

I k~ I

1 o,:::out Tl!-:r::·J.3:~i2:2G; TllH:: US[D: CPU OC:OO:OS; TEfH1 eo:Ci;:SI;; Pt.GEOO:C~':S~};

···.-..-~.·.~~-~~'"''~,. .. ~;~.....,,,-.,....i:'-r.-:'-~""':-'"--.;-,._,~.~:-:~"[.'•__,..,..,.r_,,,.;;-,~..----':''--~-,..-.-~·~.,...-~''"''"'~.--,-"'-•7'"":"~...,...---;7'"'[',,_,:r-T::·-::;-·~··~--;--:----:"'"""'':"~--~....,..---::·-;-:"'r-;-~ .... ~-~.-:--0-~-~~,,_--~7"::-'r'--·0~--~-.;-·····--,,.~··-·r-·

Page 100: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

95

Appendix D

Skunk River

Page 101: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

5-4710. Skunk River below Squaw Creek near ~mes, Iowa

Location. --Lat 42 deg·. 00 ·min·. 30 sec.-', long 93 deg. 35 rniri. 40 sec. , · .·· ·iri·NE!,rNW~ sec.13, '11 .83 N .. , R.24 l\T., ~n right bank 15 ft down­strea~ from highway bric1ge, a quarter of a mile downstream

·, from Squaw ·creek, l ·mile downs tr earn from bridge on U.S. High­way 30, 2 miles southeast of Aroes, and at mile 222.6.

Di~iriage area.--556 sq mi.

Gage.--:-Rec?rding. Datum of gage is 867.10 ft above mean sea. level,· datum of 1929. .· .

. ', ·,··

Stag~~discharg~ relation.--Defined by current-meter measurements.

. water year

. . . .

.. ( 1953-,..:- _,. .. ·. ..

1 (. , :

1955

1956

1957

••• 1

1959

Peak stages ·and dischara~s;· - :·Gage

Date heig11t (feet)

.. Ma/ 19, .1944 - 13

... ·- -·

._:._May , 1, 1953 5.47 -

• 1.

Jun·e f/ .. 1954 ~ 10.92 -·

•. ·June. ·11 .J 1954 11. 92

; .

·-~·June· 16, 1954 ·7. 63 · ..... June· 22_,· 1954 8.36 ·> :Aug; ·22 / 1954 . -8:53 ~· ·_ A-ug. :26, 1954 9.26 :_·_Aug. 28, 1954 i2.36

Oct. 14, 1954 6.81

July 10, 1955 6.73

May 13, 1956 3.05

June 16:, 1957 11.58 July 4, 1957 8.54

June 8, 1958 6.95 June 13, 1958 6.93 July 2, 1958 11.13 July '4, 1958 12.82

Mar. 20, 1959 8;69 -. . May 31, 1959 10.57

287

Discharge . . - (cfs) .. ·

l,620 .. :-- ' ·~ ... ~ ·.

.·,·.; ·6, 500

7 I 9_80 . ·3, 200 :_ . :3, 82_0 ·,; }, 950 :- , A,700

·8, 700<:-2 I 680-2'.:;-

638

6, 360~ 3,950

2,610 2,610

. 6,.120 8, 550~

3 I 860 .. '5, 520<~ ..

Page 102: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

11 ~ P]· f-\.' .

'i''

I . !

~­~.

~ .

5-4710~ Skunk River below Squaw Creek near Ames, Xowa--(Continued)

--'~~--'-~~-~~~~-P_e_ak stag~e_·s~a_n_d~d_i_·s_c __ h_a_-_,_rg_e_s~~~~~~~~~~~ .Gage height

Water ·year

· Discharge· (cfs)

·Date .

(feet) ~~--~~---,-~~,--~--~~~~~~~~~--,------''---~-"-~-'-~~~~~~~

l96Q Mar. 30, 1960 -13.20

l96t'.

. -I

·. 1962'

-.·. -· : ,-.::.

. ·: . ·:t.963

. ,.

1964.

1965 :

I ---1

· ... I·

a About

./96& '·

• '.I

/~6?·

. I .. '.

I

I I·

I· . I

. .I

. '

•.

May ?; 1960 9.47

Feb. 23, 1961 Mar . 15 / 1961 June 7, 1961 Aug; l·, 1961 Sept.30, 1961

Mar. 26, 1962 May 8, 1962 May_ 29, 1962

·· · Jvne . 9 I 1962 · Jul-, . } 15~ 1962 ·July 20, 1962

'Apr. 29, 1963 . May . 12, 1963

May ·8, 1964. June 23, 1964

Mar. 1, 1965 · Apr. . 1, .1965 - Apr .. 6, 1965

-

. June 5, or · 61 1965

s~.20, 1965

288

7.98· 8;05 7.11 7.97 8.27

10._70 '10.47

9.32 7.32

11.87 7.96

. 8. 56 10.20

8.84' 9.so·

11'. 87 l'l. 82 12~59

8.36

.//,1/5

fi"90

/2,0?

/c,J5

9, 260'~:.­. 4, 600

3,450 3,380 2,680 3,310 3, 520·~

.. 5, 900«-;-& 5,140 4,280 .2 I 820 6, 330--:~ 3, 310 .

3 I 520. 4, 780<-

3,600 4,440~

6,410 6,350 .

. 7,340.C­a3,800

3,720

c; 3f!O.' I ...

~ 9c:;_o

..

r r L L

Page 103: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

I

r~ k.' i:;J

] t;' ,.

IB '~~:· f,

!~a ~

~ ' . .

~

I rrJ "rll

' ~

~ ' '

~ ' .

i ~'.;;; . ·1, l ·;i

l ~,:f, ;~ l ': ,, ~\:f 'l J'•.

~.~i

~ "~

.

Enter name, drainage. area and gage numher of .0atershed. Skunk R'iver 556 sq. mi. Gage fJo. 5-·11710 Any changes in identlfic.:Hlon input? Enter yes_ or no. . I no · 1 Enter humber of yea~s of record. N I l.7 I Any c~anges in vaf~e of N? Enter yes or no. no Enter values of maxi r:1um annual dlschare;e. y (1)

1620 Y-c 2) 8700 vc 3) .£680 y (I~) 638 vc s) \. .

. 6360 Y(G) Jl550 Y(7) 2520 y ( 8) 9260 YC9 > 3520 Y(lO) .§.330 Y(ll) !!_780' Y(12)

. l!_l1110

. Y(13) 73110 y ( 111) .§.380 YC15) l!_9GO Y(lG) 7310 YC17) .§.629

chanr,es i n discharge input? Any Enter yes or no. no

M= 3.G79 S= 0.298 . g= -1.908

Enter K value corresponding to recurrance interval and value of g. ayk 1. 02 0

'Any changes in valuP. of f~? Enter yes. or no. no . E n t e r n: c·u r r zi n c: cc i n t e r v <1 1 i n \' e n r· s •

Page 104: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

Q J

~ . .

~ . '

~.

' .

RI 2.0 Any changes in value of recurrance intei-val?· Enter yes or no. no

Skunk River 5 5 G. sq. mi • Gage No. 5-l1710

Q== · .9G25 cfs

.Recurrance Interval~ 50 years

Do you want Q for a different recurrance· in.terval? . E~ter yes or no. no Do you \11ant to determine Q for another \·.Jatershed? Enter yes or no. no

·.END OF JOB~

·.

.. ~.·.

Page 105: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

i . .; I

j j

1

I i l j

~ j.

I ,l

1 1 l

10"0

Appendix E

Skunk River

Page 106: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

r~-~,--. '"--~---~~----,:~~·---==~-"==·--~------------

1 N= ~ 5-4700. Skunk'-River near Ames,

~ Locati;11.~-Lat /42 deg.04 -~i[!,05 sec'., long 93 deg.37_ inin.05 sec., ' inm\l"!:iS~W!i.~ sd:.c.23, T.84 N., R.~4-lV., 011 left bank ·2.5 rniles

! ·north ~f Arn,~s, 3~5 ·miles dm·m~tream· from Keigley Branch, 5.2

li1._. miles upsti;.'earn from Squaw Creek, and at mile 228.1.

~ ·r;i - ~

- / Drainage areaJ--315 sq mi. · ·

Gage.--Nonrecording prior to Aug: 25, l921.; recordi~g thereafter~ · Datum of gage is 893.61 ft above mean sea .level, datum of 19.29." ··(Iowa Highway Commission bench mark).

I , Stage-aischarge. re~ation. --Definep by current-meter measurements.

Remarks.--Base for partial-duration .series, ·1,500 cfs .. , Peak stages and discharges

~~~~~~~~~~

Watei; _year Date

·1921. Sept.17, 1921

1922 Feb. 23, 1922

1923 Mar. 28, 1923 Sept.28, ·1923

1924 Mar. 30, 1924 .. -· J'"une 28, 1924

Aug·~ 9, 1924

1925 Aus:!· 7, 1925

1926 . Sept. ·s, 1926 Sept.19, 1926

Feb. 5, 1927

. -1931 Nov. 24, 1930.

1933 Apr .. 1, 1933

1934 Jan. 22, 1934

.. 1935 Feb. 15, 1935

Mar. 5, ·-1935 June 19,. 1935

June 25, 1935 J\1ly 24, 1935

272

. Gage height (feet)

9.0

6.22 6.0

6.3 8.21 6.0

-s. 0

6.5 8.26

7.4

11. 2

6.47

b 5. 39

b 7.8 9.0

"6. 5 ·s.4 ·7. 0

·-----···-·---~--,.···----····--·-···-~ ----·----- --------. ···-· -----··- ····- -··-~.-·---··-···--·· ····-,···----~----······-·· -------.·

·.

.. - n·~~schaz-_ge . '(cfs')

3,540

·3, 370

1, 670 <­l, 530

1,680 _3, 010 <"~ _l, 500

905

1,900 3, 120 .....-.,,-

2,460

5,230

1,990

2,490 3 I 490..:·,_-

l, 900 2,960 2,190

l~;·

. -. ~ .· ~.,:;l

[~7';C; ... ,.

;...-£...~...'..

- . · 1

[_,_)_

. -~ll· ..

·c·.,., .. :;_;: . _;·}.

[

:-r,::;

.:1 L~~"

L·.·· . . . ..

[ .-,_:: _:~-

r-c:~~­L-·~-·

[ ·:· ._. ___ __

[: ........ -- .

-'· -····

Page 107: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

: 5-4700. Skunk River near Ames, Iowa--(Continued) ; ~, :

. · __ ._· ·_/_. ______ P_e_a_k stages ana aischa.£g:es _______ ~----- .Water . Gage

I Discharge._

(cfs)_ ·year/ ., '· ·: · · Date · heig11t

~---'-1-----~------------____,_(feet)_· _____ -'---~-1936 Mar. 10; 1936. 7·.7

-;· ~9317

.1938

1939

1940 ..

1941 -1~-4~::,,

1942

.194_3 '· -. : • i..'.;

·- ...... •.

. ·:., . ~· . :~ .

1945

1946 . . . . · ..... -·

,.-··:.. ;·

1947

1948

. ·1949

Mar. 6, 1937

·· -'May_ .. 4, 1938 17, 1938 May

.~, .. ··June .29, 1938

- :·~:Mar •. 14,_. 1939

~-,.Aug.· 13, 1940

. . .

S~p-t. 8, 1941 .·~Nov. ·l,· 1941-

·sept.14, ·1942

···June 16, 1943 ·. ·July. 3i, 1943 ..

·. ·.

.·.·'.<.•May 20, 1944 ...

June 12, 1944

Mar. 16, 1945 May 22, 1945

,::, __ ·June 2, 1945

'

··Feb. 5, 1946 :Mar. 6, 1946 Mar. 13, 1946

...

June 1, 1947 June 4, 1947 June 13, 1947

.June 23, 1947 . ··June 30, 1947

Feb. 2.8, 1948 Mar. 19, 1948 Mar .. 27, 1948

Mar.· 4, 1949

273.

8.3 6.5

.. 5. 8.

. 7. 3

8.6 . 5 :9 8 .1· .

6.5 10.3

13. 9 . .. .-s. 0

6°."3 7.7

.. 9 .7

7~1 5.9 5.9

8.63 8.18 11~95 10.80 6.4

5.8 7.35 7.3

b10.52

..

2,580

3,000'_

2,890~ 1,880 1,540

3,230

2,320

3,050 -l-;-6-3-0.

2 t 530 ·

. l-;910 4_,500~

.81060 <..-2, 840

1,800 2,620 4, 010~-

2,270~

1,600 . 1, 610

3,74.o 3,400

. 6, 550~ 5,400 2,200

1,630 2, 620~~ 2,600

Page 108: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

ti] .. '. '·

T?l . ~-g

~i·.· '· ....

. m .. · : .f I ~:~:.

' '

~

·~ llc'i~

~ . .

rra L~i

.

.

; .. ,, ·.

E~: ~ .

~ . .

5-4700. Skunk River near Arnes, Iowa-- (Ccmtinuecl) ·

__________ Peak staqe~. and discharges Water

. year / Gage

Date . height

/ ·.· .. _.

Discharge _(cfs) ·

..

l t r

/ 1950

(feet) --'----------1950 8.86 Mar . ·.7.,_.

' . i

. I.

1951

,.•,. · ..

1952

1953

.... 1954 ..

.. .. .· . ..; .... .

1955

'1956

1957

1958 .·. ": .

1959

1960 .

.·1961

-May -s I 1950 6.0 Ma_y .. 9 I 1950 7.b· June 9, 1950 s·.s. June 18, 1950

.· .. ,·

Peb. _·26, 1951 Mar:_-_29, 1951 · May :· ._2, 1951

. .. June • 2, 1951. June · 2 O, 19 5 J. July 4, 1951

· .. July . 91 1952

May 1, 1953

June 1, 1954 June 10, 1954 June 16, 1954 June 22, 1954 Aug. 27, 1954

Oct. 15, 1954

Sept . 4~ 1956

June .16, 1957 . _July £1 ..

"'·' 1957 ......

·. ·.·. July 2 I . 1958· July. . 4, . 1958 Jul.y 11, 1958

. .

Mar. 20, 1959 May 31, 1959

Mar. · 30, 1960 May : 7, 1960

~-Peb. 23, 1961 .Mar. 15 I 1961 Aug. 2· I 1961

274 ..

.. . •.

6.6

5.75 )-0.90 . 6. 75 10:35 6.25 7.07

.. ...

5.73

4.71

7.84 13.66 6.37 5.88

. 8.27

.s.22

·.· 3.49

8.28 . 6. 52

6.55 7.85 5·_ 78

5.60 5.83

10.33 •5.59

5. 71 . 5.51 5.51

3, 820 ..q-­

l, 810 2,410 1,690 2,170

1,690. 5, 320 <;--

2, 290 4,920 1,930 2, 4 70 .

. •

1,630

.. 980

3,180 8, 630<;'-2, 110 1,770 3,520

·1,340

376

3, 540<-. 2,200

2,270 3, 150<­l, 720

1,590 1, 720·'°'-

6, 210~ l_~ 590

l ,· 9_90<'.'­l, 770 1,770

.\

L

f

( .. . '

T, .. t~~·.

r~ .• -:o·

r .n u c [,,

)'·

. [---~

[~ .

.L.:

r·,:·( .. -~

. . . . . r~ --~----~~-- ----~----·' .. _...::::~J

Page 109: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

J~ ,ll,'.. ~'.Tu.

_;1;

; __ ;mt ill

: ,'

5-:-4 700. Skunk River near Ames, Iowa--(Continued)

Water year

1962

·· 1953

1964

1965

: ~.

. ·· ... -

a About b Affected by

. -/'76C.

- /f'? ::;: ..

/'f,,l, g

;·i?'J.

ice

Peak stages and discharges -

. -

....

Date

Mar, May May July July

Apr .

May June

Mar. Apr. •~pr-. May June

26, 1962 7, 1962

30, 1962 14, _ 1962 _22, 1962

30, 1963 . ·. -

8, 1964 22· . I 1964

. 1, 1965 2, 1965 6, 1965

27, 1965 6, 1965

Sept.20, 1965. -Sept. 2s', 1965

275·

:- -- .

.- Gage -_height

(feet) 6.91 7.53 5.72. 9.02

-.5."72

5. 65:

5.31 5.91

9.43 6.55 5.75 6.92 5.34

.: . 81?'7

.g,7/

-· .: ~ ..

· Discharge. (cfs)

. . .

3,010 3,510 1,970 4 t 300 <;-:-1, 970 -

·. 1, 820

J,570 2, 170~.

a1,soo _a3, 300 .

5, 260~ 2,730 2,020· 3-, 030

. 1,.610

... - ...... ,,, .. ·.· .... ·.

- 62·-~ao _// .

. . ·: .. .-·: :. . .

2.79C) ]_ ·.

""-/.890 . ')· -

- -.(1380 . ,) . -

Page 110: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

~ ' .

Enter· nar.1e, dra inagc area and gage nurnber of watershed. ~kun·k River 3lS sq •. r.ii. Gage No. ·!)--1~700

. Any changes in identification input? Ent2i· yes or no. no Enter number of .ye<:!J!; of record. N H_5 Any changes in value of N? Enter yes or no. no Enter Y(l) 35110 -Ye 2) 2370 Y(3) 1670 y ( 11) 1010 y ( 5)

905 Y(G)

.1120 Y(7) 2_11G0 y ( 8 )" 52 30 .

. y ( 9) 1990 Y(lO) 600 Y(ll) 3h90 y ( 12) 1580 Y(13) }.000 y ( 111 )

.£890 Y(J.5) }.230 Y(J.G) 1320 Y(J.7) }.050 Y(18) 2530 y ( 19) 4500 Y(20) .[OGO y ( 21) B:_OlO Y(22) 1270 y ( 23) Ji550 y ( 211 )

J_G2 0

va 1 ues ot" maxi mu·rn annual ·discharge.

.•

- . -~

..

Page 111: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

~ ' ' <;! •

~ ' ' '

r 1. .c) J

1000 Y(26) 3820 y ( 2 7) 5320 "Ye 22) 1630 Y(29_)" 980 y ( 30) ~630 Y(31) 13110 Y( 32)

.176 y ( 33) 15110 YC34) 2.150 Y(35) 1720 Y(3G) ].210 YC3 7) 1990 Y(38) !!_300 Y(39) 1820 Y ( L1 0) 2170 Y(l1l) .2.260" y (l12) 2900 Y(L13) ·1790 Y ( If, 11 ) .!!_890 y (115) .!!_3 8 0

..

An_y chanr;es no

in discharge input? Enter yes or no.

M= ·3. 4 4 5 S= 0.271 g=

Enter K value corresponding to recurrance interval and value of g, ayk · , ·

l· 513

-0.985

Any changes in value of K? Ente~ yes or no. no Enter recurrance interval in years. RI 20 Any changes in value of recurrance interval? Enter yes or no.

·no

Skunk River 315 SC]~ mi, Gage No. 5-li 700

Q== 71116 cfs

. '

Page 112: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

~ .

R~:. Li; t

~ f:.I

i [§ -~u

ffij l:il

LJ L'l '

.

.

Recurrance Interval=" 50 years

Do you want Q for a dlfferent recurrance interval? Enter yes or no • no ~o you want.to determine Q for another watershed?. Ente:r yes or no. yes

. ·

. -----------------

..

Page 113: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

108

Appendix F

Big Sioux River·

Page 114: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

6-4855. Big Sioux River at. A"kron, Iowa~

Location. --Lat· 42 deg. 49 min. 40 sec., long 96_ d"eg. 33 min. 50 -se'd., in w1:2 sec. 31, T.93 N., R.48 W., on left bank 300 ft . downstream from· county- highway bridge in Akron, an.d 2-3/4 · -miles upstream from Un ion Creek.

I . . Drainage a~ea.--9,030 sq mi.

Gage. --Recbrding .. Prior to December 3, 1934, non recording. Datum of gag~ i~ 1,118.90 ft above mean sea level, ~atum of 1929.

I . . Stat~-disbharga relation:--Define~ by curr~~t-meter measurements~

Remarks. --oniy annual pea)c.s shown.

Peak stages and discharqes ______________ _

~-

Water Date year

1926 Sept. 181 1926

1929 Mar. 15, 1929

·1930 ·June 6, 1930

1931 Aug. 9, 1931

1932 Mar. 1, 1932

·1933 Sept. 5, 1933 . .

·1934 June 8, 1934

1935 Mar. ·10, 1935

. 1936 Mar . 12, 1936 . . .

1937 May 26, 1937

l.938 July 4, 1938 ..

1939 Mar • 17, 1939

. ·. ·1940 Apr. 2 I 1940

1941 Mar. 25, 1941

·1942 June 4, 1942

1943 June 18, 1943

12

..

..

Gage .height (feet)

19.4

18.6

9.9

5.6

18.0.

17.8

16.l

18.6

13.1

17.5

17.3

13.5

19.2

17.4

Discharge (cfs)

......__

·20, 800 '

3,740

1,390

16,900

14,200

10,600 . ·- . a

3 ;"000

18,000

5,760

12,700 a

6 ·' 300

11,700

5,820

21,400

12,000

I L r: L

r L

r L

. . [

l \ • t

. _.f

-· : . ..: .... _-_.:_:__~-------~--- ___ ~ ... :.--.~ ~------ ·n··~~-..:,,. """'~~---~:···-:'.7"'-:~,.,.,,.:._.:--~,-:--,- .... '"""-=-·~, .. 7 .... - ......... --~-;,..-.,..,--7°~--.--:-----... I

Page 115: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

---------.---------------------~

.. 6-4855. · Big Sioux River at Akron, Iowa--continued

Water ear,

I 1944

. (" ·194'5

I . l 9fi.6

I 1947

1948

1949

. 1950.

·-1953

.. 1954 ...

... -..:

1955 .

1956

1957

. . . 1958

. 1959

1963.

1964

'• -·-

Peak staaes and dischar es

· Date.

Feb." 2 9 I 1944 ·-·

Mar. 14, 1945

Mar. 5, 1946

June 15, 1947

· Mar. 21, 1948

Mar. 8, 1949 . ..!'·

June 18, 1950

.·Apr.· 6,-1951

Apr. 1, 1952

June . 8, 1953

June 22, 1954

Mar. ·11, ·1955

June 17,-1956

June 21, 1957 .. ...

Apr. 8, 1958

June 3, 1959 ..

~ - - - . Apr~ 1, 1960

.. Ma_r. 5, 1961

-· .

Mar.· 31, 1962

Aug. 7, i963

A:er. 4, 1964

·'

Gage height (feet)

18.2

17.4

16.8

18.5

17 .1 . ·- ,: .. ·

13.4

19.66

19.75

19.33

. .19. 95

12.25

8.13

19.57

5.98

16.93

21.56

I 16.18 ':::. -·'.

22.08

9.30

·_. '. _ --~,r//'-) 1.i?65 ·. ·~ .· ._._¢9J:55

';. ft-f~ 1<0 /9hr;?: : · .. 1 f, es . -./9', 79

22.99

Discharge (cfs)

15,900

12,300.

8,970 .. -· ... -

10,500

10,800

11,400 ..

. - ...

5,450

2s;soo

·33,000

21,800

. 21~ 700

4; 940

1,840

19;400

1,120

8;430

49,500

91050

54,300

1,650

2,540

e/ cr--.~/::i .J , __ ~-

/~' .c;o,.~· . -:; ~ v

- _J

Page 116: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

EY1 J ,. . .

1 --. .

',~1 ,.

'

.

, . . , ' ' .

, .

.

~ ~·

~ .

.

-·.-·.:

log[n(bridge~bridgeOl} GOOD AFT E RM 0 0 I l ; lJ S E R 0 3 ; T 111 E 17. : S G : 3 11 9 I 2 3 I 7 0 ; _load· ( l peci r3 ). xeq . . Enter ncir1e, drainage areci and gar;c: nuv1Lc:·1· of watersherl. Little Sioux Rivur 9,030 sq.·1ni. Gar:e No, 6-11955 Any chan~es in identification input? Enter yes ot· no, yes E n t e r n a !'I e I d r a i n a f, e a r e a a n d g n i'J~ n LI P1 b e l~ 0 f \'!a t e r s h e d • little Sioux Ri·ver · ~,030 sq. mi. Gar,e No. 6-4855 Any changes in identification input? Enter _ye~ or no. yes . .

· fnt~r. name~ drairiage area ahd gcige number of watershed, !Jig Sioux River at Akron 9,030 sq, mi.· Gage Mo. 6-11855 Any changes in identificC1tion inp11t? Enter yes or no • no· Enter number of years of retorrl. N 2..11 Any chanr::es in value of· N? Enter YP.S or no. hq.

Enter values of rnaxirYJUfTl annu,il dischar?,t:< Y Cl )

. 10800 Y(2) 37110 Y(3) 1390' y ( 11) 16900 . Y(5) 11~2 0 0 Y. ( G ) 106~0 Y(7) 3000 Y(8) 18000 y ( 9)

57GO Y(lO) 12700 Y( ll) 6300 -Ye 12) 11700 y ( 13) 58 2 0 .. y ( 111) 2_1110 0 Y(l~>)

12000 ·y(j_5). 15900' Y(l 7)

12:-JOO

J

Page 117: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

'

.

. ,

,

rn '~~1

lJ

~ ' . ~

~ . . Kill ~

~ . I

~ . .

~.

.

~ . '

l'BJ_t· Jo~

~ . .

.

.

I ~ .L r; J . - ----------------------------------8970 Y(FJ) 10500 \ 1(20) 10800. Yc21) lllrOO

."Yc22) 5 It 5 0 Ye 2 3 ) 28800 Y ( 2 Li )

33000 Any chant::es no

in rlischar~e input? Enter yes cir no.

r.1::: Lr • 0 0 G S= 0, 318. g= . -0. 8 8_G

Enter K value corr~sbonding to recurrance interval and value of g. ayk 1. 55 7 Any chang.es in value of K? ·Enter yes or no I Enter recurrance. interval in years. RI ,

no .

29 Any chanees inv"alue of recurrnnce interval? "Enter yes or no. no

Big Sio~~ River at Akron 9, 030 sq. mi.

Q= 31G71! cfs

·Retu~rance lnterv~l= 50 years

Do you Wnnt Q for a different recurrance Enter yes or no,

interval?

yes

Enter K value corresponrlinp; to recurrc=ince interval and value of ~· ayk l. 670" Any changes in value of K? Enter yes or 11::_,,

no Enter recu1·i-c:1nce interval in yenrs. RI 100 An y ch a n p,; e s i n ·Va l. u e 0 f rec ll rt• a n c e i n t e r v a l ?

'· no

Big Sioux River at Akron 9,030 sq. mi ..

Recurranco Interval= 100 ye~rs

Enter yes or no .

Page 118: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

!:·· ·""·' f"·'.1·. no you want Q for a diffc~n~nt recurrance inte1;val?

Enter yes or no. yes

Enter K V<Jluc cor1·esponcllnr: interval ancl valur~ of g. ay!( I l· 7Gl I Any changes i_n value of K? no / Enter recurrc:ir1cc~ interval in

I RI ( 100

to recur-ranee

Enter yes 01· no,

years.

Any changes i n 11 a l u e · of recur ranee interval? no

pig Sioux River at Akron 9,030 sq. rni.

Enter yes or no.

Gap.;e Ho. 6-l185S

~i ~ · Q= 3G770 cfs·

Recurrance Interval= 200 years

Do you \·1ant Q for a difff:n;rit recurrance interval? E1_iter yes or no~

no · Oo ·you \·vant to rletennine Q for another watershed?

Enter yes or no. yes Enter naMe, drainage area and gage number of watershed.

Page 119: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

9 . .

9 ) .

~ . ' '

~ . . .

, . .

Big.Sioux River at Akron 9,030 sq •. rni. Gage No 604855 Any chanv~s in identification input~ Enter yes or no. -~es

1 _

EMter name, drainage area and gage numher of watershed. ~lg Siou~ River at Akron 9,030·sq. mi. Gage No. G-4855 Any chankes in identification input? Enter yes or no. no I · · Enter number of years of record~ N · /; 32 . J

Any ch cine e s i n v a l u e. of N ? E n t e r '. ye s o r · no . no· Enter values of mccixirnum annual discharg.e. YCl) . 20300

."Ye 2) 3 71~ 0 y ( 3) 1390 y (11)

16900 vc s) J.11200 Y(G)

'1.0600 . Y(7) 2000 Y(8) 1.8000 Y(9) 5760 ·Y(J.0)

.12 700 Y(ll) .§.300 y ( 12.) 11700 Y( T3} _2_820 y ( 11+) 2.) li 0 0 Y(15) ·1:rnoo Y(lG)

15900 Y(17) 1_2300 Y(18) ~970 y (19)

10500 "Ye 2 o) 1.0300 Y(21) 111100 Y(22) _2_1150 Y(23) 28800

• 1 ,.·.

'\ \ ~

Page 120: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

1.

' . , .

[J\l -··~·

' ' ,,

, .r:.~ , .

' , .

.

I i , '

'

.

··--.::·

])000 y ( 2 5) 21800 Y(2G) 21700 ·yc27) l19 Ir 0

·y(28) .18 Ir O v(2g) 19/iOO 'Yoo·) 1120 Y(31) 81130 Y-02)

. l!.9500 Any changes in discharge input? Enter yes or no. no·

·M=· 3.992 S::: 0. 388 g=

Enter K value corresponding to recurrance interval and valu(:: of g. ayk l· 627

-0. 7G11

.P,riy changes in value.of K? Enter yes Of'.' no .. no . Entei· r_ecurrance interval in yeors • RI 20 . Any changes in value of recurrance interval? Enter yes or no. no

B ig S i o u x R i v c; i- <: t A k r on 9, 030 S(j. Mi, Gap;e No. 6-l1855

Q= !11916.cfs

·Rec(irrance lnterv.:11== 50 years

no yciu want Q for a different recurrance interval? Ente~ yes or no.

·yes

Enter K value coi-rr~sponrling to recurrance i n t e r ''a 1 a n d v a l u c: of g • ayk ·· l· 759 Any changes in value of K? Enter yes or no

·.Enter recurrancr; interval in yerit·s. RI 100

no . .

Any changes in V<lllle of rec11rrance interval? no

/1.kron 9, 03() SC]. Mi.

Enter yes or no.

Ga p;e r· ! o . 6 - ld1 5 '.>

Page 121: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

I-;~~"~--~~~=L-~~,l ;; 5 -6~-f s '-~~~,~~--.~:..~:-"----~-·'-""-~-~--'-~~'-'-'-~~--- ----~~~--'----'--'~"""'"'"'--'·--'".C·-=·"-"""...._;_.-'--"-~·'-'·-"-""'-"-~'·. ·-·-"'-·---'---.-·-·----'­

• I

'

~

1 '

.

1 . -, .

'

, .

'

1'*1_1·_:

~

I ,

Recurrance Interval= 1 0 () yea rs

Do you \'1ant Q for· a different recur ranee E.n t e r: ye s o 1- no .

intervc=il?

yes.

Enter K value corn~~>ponding to rccu1-rance interval and value of g. ayk 1. 869 Any chan.[;es in value of K? Enter yes or no. no· Enter: recurrancc~ interval in ye<Hs. _RI 100

·Any changes in v0lt1P. of recurrance interva·l? En.ter yes or no. no

Big Sloux River at Akron 9,030 sq. mi. Gage No. 6-11855

Q= s2019 cfs

- .Recu rr.ance I ri ten1<:i l:.: 200 years

Do you \'tant Q for a-different'rec-urrance interval? Enter yei nr no~ no Do you .\·:ant to r:leterriine Q for another \'lotershed? Enter yes or no. yes

-.

-.

Page 122: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

.. j ~'.':.• j : l ,, 'l ' l

~ .

.

~ Li ·

.· .. l ,:~: i ,,, .. ,~ I ~~

't. , . ' . . , .

. '

~ . .

Enter naMe, dralnage area and ga~e numher of water~hed. Big Si.6ux River at Akron 9,030 ·sq. Ml. Gage No. Any c·hanges in _identificatlon input? Ente'. yes or no. ·no Inter number of years of record. N 3lf

\

Any changes ln valiie of· N? ·Enter yes or no. no Enter vcilues of maximum annual discharge. Y(l) 2_0800 Y(2) 3 7110 y ( 3)

1=~90 y (It ) 169"0 0

. y ( 5)

1112 0 0 Y(G) 10600 Y(7) }.000. y ( 8)

18000 Y(9) _2_7 G 0 y (10) 12700 Y(ll) &_30Q

·y(12) 11700 Y(13) .2.820 y (1!}) 2_llt00 Y(15) 12000 Y(lG) 15900 Y(17) 12300 Y(l8) Jl970 YC19) 10500 y (2 0)

10800 y ( 21 ) 11110 0 YC22) .2_!150 . Y(23) 2_8800 y ( 211)

}3000

G-lt855

..

Page 123: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

, . .

~ .

~ ' '

~ . .

~ . . .

~ ! ~' lt~;: . ,. ' ~' . l

~l f~t 1 ru

'.j ~"· ~ \' .! "' j l

• .. ' in.;_:· j llil l Ci

! ~ ·1_ ,,;,

1 ~l I ,. i_j· r~ : tM

.l ~ . . ' .

.

Y(25) 21800 Y ( 2G) 2.1700 y ( 2 7) If 9li 0

·Y-c2s) 13 1-t () .. Y09 ) . 191100 Ve 3o) 1120

.-yc31) B_lf 3 o Y(32) ~9500 Y(33) _9_050 Y ( :) If )

2lf :rn o Any changes in discharge inrut? Enter yes or no. no

M= 11. 013 S= O. 3C'J7

Enter K ~alue correspondl~g to recurrance interval and value of g, ayk 1. 70 7 Any chang~s in value 6f K? Enter yes or no. JlO En t e r rec u·r ran c e i n t e r v a 1 i n ye a r s • RI 50 Any changes in .value of rectrrrance interval? Enter yes or no. no . '

Bl t~ Sioux River at Akron 9,030 sq. mi. Gage

Q= li 8 9 G 7 cf s

Recur ranee Interval= 50 years

Do you want Q for a different recurrance Enter· yes or no.

interval?

y_es

Enter K value correspon~lng to recurrance interval and value of g. ayk J_. 8Glt Any changes in value of K? Entc:i- yes or noo no Enter 1·ecurrance interval in ycc<Hs. RI 100

Mo. 6-118 5 s

Any cha_nr,;es in value of recurrunce interval? Enter ·yes or no, no

Page 124: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

'

, '

I

cl '

'

' , .

9 ' . t;

' , .

ts 1 g ::i 1 o u x I< 1 v er 0 t I\ r<.1·cir1 9,U51J sq. rn1.

·o= 56519 cfs

Recurrance lnterv<11= 100 ye<1rs

Do yqu \'/ant f1 for a different recurrance interval? Enter yes or no.

·yes

Enter K value correspondln~·to recurrance i n t er val and v a 1 u r:: of g·,

. 9yk 1. 99G Xny chan~es .in value of K? Enter yes or no. no E n t e r re c.u r 1· an c e i n t e r v a 1 i n . ye a r s • RI 2.00 . . .

u - if <i :> :1

A r:i y ch a n g e s i n v a l tie of rec u r r a n c e i n t e r v a l ? E n t e r ye s o 1· no . no

Big Sioux River Clt Akron 9,030 sq. rrii. Gage No , G - Ii 8 5 5

Q= 63762 cfs

Recurrance Interval= 200 yea rs

Oo you want Q for a different recurrancp interval? En t e 1· · yes o r no . no Do you want to determine Q for anoth~r watershed? Ent~r.yes or no. · yes

Page 125: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

, .

' .

, . ' . . , .

' , . . , . ' .

I ,t t i: l '

rn i

. Enter nape, drainar;e area and gar:e nurriher of \'Jatershed. frig Siovx River at Akron 9,030 sq. mi. · Gage No. Any chahges in _identification input? Ente~ yes or no . no · / Enter humber of years of recorrl. · N j -.!!_O I Any.cHanges in value of H? Enter yes o.r ·no. no. Enter values of maxir-riurn annuol discharp;e. Y(l) 2..0800 y ( 2) }71!0 Y(3)

'1390 Y(4) l.6900

·Y(5) 14200 ·y ( 6)

lOGOO Y( 7) 2000 Y(8)

'18000 "Ye ~n 5760 YOO) 12700 Y(ll) .§.3 0 0 y ( 12) 11700 .Y(13) .2.820 y ( 14) _2_11} 0 0 Y(15) 12000

. Y(lG) 15900

. Y(17) 12300 Y(18) 119 7 0 Y(l9) 10500 y (2 0)

108 00. Y(21) 11400 Y(22) 2_1150 y ( 2 3) 2 8 3·0 ()

. y ( 211)

\ .·

t .

6-1~855

Page 126: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

~ .

. ,

.

.

~ . '

, . '

~ , ' '

, '

'

~g•· I i}

~ ' ' . "'

. .

) )\Ju I)

"Ye 2 5.) . 218 0 0 ·Y(2G) 11700 YC27) 4 91} 0 -Yc2s) .18 40 Y(?.9) _l91t00 YC30) 1120 y ( 31) 81130 -Ye 32 > !19 5 0 0 Y(33) _9_050 Y(34) 2_1t :rn o Y(35) .1650 Y(36) £51+0 Y(37)

. 11000 Y(38) .16500 Y(39) 2_300 y (Ii 0)

. Ji~ 5 Any ch~nges in discharge innut? ·Enter yes or no. _yes Hhich.Q? fix .!!_O Y(40) 635 Any changes in discharge innut? Enter yes or no. no

M::: 3.953 g= .-0.701

E~ter K value corresponding to recurrance i n t er val and ·val u e of g. ayk · _l. 662 A~y ch~n~es in value of K? Enter yes or no: no Enter recurrance intervol in yec:irs. RI 20 · Any ch a n g e s · i n v a l u e of r e c ll r r a n c e i n t e.r v a l ? E n t e r ye s o r no . [l_O .

Big Sioux River at Akron 9,030 sq. mi.

. . . R.ecurrunce I ntervi1 l ~- 50 years

Page 127: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

TI .

.

rn . .

·-~

l ~ . .

~ .

.

~ . .

Do you want Q for a different recurrance interval? Enter yes or no. yes

Enter· K value correspondin.e; to recurrance interval and value of. g, ayk 1. 8 05 Any chanRes in value ·of K? Enter yes or no. no Enter recur.ranee, interv.al in years. RI 100 Any changes in value of recut·rance interv0l? Enter yes or no. no

Rig Sioux Riv~r at Akron 9,030 sq. mi. Gage ~!o. 6-11855

Q=- 57150 cfs

Recurrance tnterval= 100 years

Do you want Q for a different recurrance interval? Enter yes_or: no. yes

Enter K ·va.lue correspondinr, to recurr0nce interval and value of g. ayk. . l· 92 5 Any changes in value of ~? Enter yes or no. no Enter recurrance interval in years. RI 200 Any changes in value of rectirrance interval? no

Big Sioux River at Akron 9 I Q 3 0 Sq , r•l i •

Q = 611 6 3 6 cf s

Recurrance Interval= 200 years

Enter yes or no.

Do you want Q for a different recurrance interval? Enter yes or no. no Do you v1ant to deterr1ine O. for another \';atershed? Enter yes or _no. yes Enter name, drainaee area and ga~e number of .watershed.

Page 128: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

ffi~l I',_·, .. · '·

~~ . , .. 1,

~ '.:;. .

-----···--------------~-----------------..

Big Siovx River at Akron 9,030 s~. ml. Ga~e No. 6-4855 Any chant;es In identificc=itiori input? .[nter yes or no • .!J.O Enter number of years of record. N !Ll Any changes in· value of r·J? Enter- yes or no • .!J.O Enter values of maxi"murn.annual discharp;e, y (1)

£0800 Y(2) _2_7110 Y(3) 1.390 y ( 11)

1.6900 Y(5) lli200 Y(G) J_OGOO YC7) 3000 "Yes) 18000 Y(9) 2_7GO Y(lO)

-1_2 700 Y(ll) 6300 Y(12). 11700 Y(13) _2_8 2 0 y (]_If ) '

111100 Y(15)

·12 000 y (16)

15900 '((17) 12300 vos) ~970 Y(19)

. 1050 0 Y(20) 10800 Y(21) 1.11100 y ( 2 2) 2_1150 YC/.3) 2_8800 y ( 211) ]_3000 y ( 2 5) 2.1300 Y(2G) 21700

Page 129: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

r----·~--- --Y c 2 1 ) r] _1i91f o· l Y(28)

~ ' '

18110 Y"< 2 g) 191100 y (30) 1120 vo1) Jll13 0 Y(32) 1195 00 Y(33) 9050 YC 34) 5lt300 y ( 35) 1650 Y(3G) 2 5 [t 0 YC37) 210 0 0

·-vc 38 r 16500 YC39) 5300 y( 116)

. 635 y ( 11 l)

]_O 8 0 O .Any changes· in.di sche3 r ge i nru t? Enter yes or no. no

M:;; · 3. 9 7 6 g=

~nt~r K value corresponding to r~currance interval and ·value of g. ayk l_. 7 5 8

-o·. 53 3

,Any changes in value of K? Enter yes or no~ .·.no

Enter recurrance interva~ in years. RI _2.0

··.

Any chanr;es in value of recurrance interval? Enter yes or no. no

Big Sioux River at Akron 9,030 sq. mi. r; a r, e !··l o • 6 - 4 8 5 5

Q= 6 2 0 115 cf s

Recurr~n~e Interval= 50 yea r·s

fl o yo u \· m n t Q f o r a cl i f f e r e n t re c u r: r a n c C" i n t e r v a 1 ? Enter yes or no. y_es

Enter·!~ value corresponrlinp.; to recurrance i n t e r v a 1 and v a 1 u e · o_f g .

Page 130: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

i I t·1"1

I ('1

~

I l

I F~J • ~1

i~

' l 1 ' 1 ·1

_..., ... l· 930 /\ny changes in value of. K.? Entel' yes or no. no En t e r re.cu r r a n c e i n t e r v a 1 i n ye a r s . RI 100 Any changes in value of recurrance interval? Enter yes or no. no

·Bjg Sioux River at Akron 9,030 sq~ mi. Gar,e t!o. C· !}855

O.= 71i57.3 cfs

R~currance Interval= 100 years

no you \•Jant Q for a differer1.t recurrance interval? E~ter yes or no;

. yes·

Enter K value corresponding to recurr~nce interval and value of g. ayk

.2. 078 Xny changes in value of k? Enter y~s or no, JlO Enter recur ranee in te rva 1 i ri years. RI 100 Any changes in value of recurrance in.te.rval? no

Enter yes or no.

Big Sioux River at Akro~ 9,030 sq. Mi. Gage !·lo . G -- !~ 8 5 5

Q= 87361 cfs

Recurrance Interval= 200 ye<l rs

Do you \vant Q for a different recurrance interval? Enter: yes or no. no .· Do you \'.'ant to determine Q for another v1atershed? Enter yes or no. no

..

END OF JOB. J_ogout TIME 13:1i8:10; TlME" USED: CPU 00:00:25i TERM 00:51::Hi; P/J1E Ol:lf/.:21;·

Page 131: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

126

Appendix G

Brewer Creek

.. {

Page 132: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

. ·,:_·:

,· . . .

5-4486 . East Branch Irnva Ei ver above Hayfield I. Iowa

. . J:.rocation. --Near south quarter corner sec. 4 I 'r .. 96 N. I _R. 24 ·w_. ,, .at br .:la~e, 1. 5 rrii les southea.st of IIayfield, Hancock County,

. I . I . . . Drainage arear--2.23 sq mi.

I Gage· l-Crest-stage gage. Datum· is arbitrary; ··

Stage-.. disc11arge ~el0tion. ---Defined by current-meter measurements below and extended above 150 cfs b~ log~rithmic plotti0g.

Remarks.--O~ly annual peaks are shown.

Peak stag~~nd disc1wrges · Water

ye ax

1953

1954

1955

1956

1957

. 1958

.1959

. 1960

1961.

1962

1963

1964

1965

Date

. June 4, 1953

June 19, 1954.

July 61 1955

July 2, 1956 .. ··

June . 4 , 19 5 8 ·

May : 21, 1959

Mar. 29, 1960

Mar. 26, 1961

. Aug~ 31, 1962

May . 13, 1963

Sept. 7, 1964

Gage height (feet) 3.02.

7 .15·

2~25

.2.05

c

"2 .65

6.77

4.67

70.3

3~34

4.25

4.25

7.31

Disc11arge· (cfs)

24.2

·209

10.6

8.0

·2,6

. 17. 0

186

75

196

31.1

59

58

250

)/

----------- -----------~--·'°"" . c Peak stage aid not reach bottom of gage

J960 22

t;O

2c;; · . . . 89 200

Page 133: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

:-_,,,:............:...:_.:.::.. ...... .::_~-'-'-:....;.:;.~~~..:..~......:..::2.:.~...:....:.~.._:.;;,;..:.,_._.!...~~ .... ~_:..._.:.,_~ ....... ~,.,__.;.,..~\ . .:....~.~·· ~··· ·,~,._,_~~~--.t.L~·-·· ~·-~·-._;;.. ___ _,......__. ______________________ _,__.,_~---------....... ~cl___,_,_..._

. .

"'1 l logiri(bridgc,bridecOl)

1 . .

'"--': <;1·

~l

GOODAl-TERJ!OOH; USEI~ 0:5; Tl!1E: 12:50:50 2/02/71; :1 oa d ( l pea r· 3 ) xcq/ · -: I [:ntcr naf!1e, drairF1'~P. area ai1d gap;e rwr:1ber of \"Jatersf'ccl. Ea~t Branch loua River 2.23 sq. mi. Ga.e;e_ !Jo. 5-!+l~SC -1 /\ n y c ha n g c s i n · i d ro n t i f i c a t i o n i n r u t ? E n t c r y c s o r· no • no.I

. E~tcr number of years bf record • . NI

1.7 Any changes· in value of N? Enter.yes or no. !J..O Enter values of n:1xinur:i annucil dischC1rgc. Y(l) 1_!1

.. y ( 2) 1_0 9 y (3)

11 . y ( 11) n

_<-2...

Y(5) 1-Y ( 6) 1-7 Y(7) J_.8 G. Y(8) 15 . Y( 9) ·

1.9 G Y(lO)

··2_1 y (11)

. 59 y (12)

·.~Y(J.3) 1_5 0 y(l11) 2_2 y (15)

If.O Y ( lG) 2G YC17) 200 /\ny chanr;cs no

1. G 2 g·

in disch(lrg~ • , ? 1 n pu c. ·

S== 0.585

Enter I~ vuluc co1·1·P.spo:vJ!nf.r,· to

Enter yes

rc~currance

or no.

fJ · i n t c r v a l c:i n cf v c-1 l u r: of · i'. J a yk

---··· ·-· ~-- -- ·- ·-- ---·- -~ .) .... ~.?. §}'.·-~--;--- ~·- -· ·--·- .. --··-- - .

.. :.- -

Page 134: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

j,-~~-~-~:-'-""'''"'-'~:::::-:.:'.::·".=:=::'.'.:.":::~:~:::=::-.'.·=:::-::::::-::::.:::::::::-::-·:.:-::::-:::"::~:::,.':::.:::_"::"'::_CC.:'::::-::::-:;::_--::;':O=::::-=-o=-cco= .. ~~~---'~"-'"-··~----· ··--·-----··-·--···-- ---·-·-·· ···--------··

--- rl ... , -· ----- f, n y c h a n g e s i n v a 1 u e o f !< ? E ri t e r ye ~> o t" n o .

d no .. .. .. Enter recurrance inte1·val in ye21:s.

ll 1 ·-t~n6y - , changes in value of recurrancc interval? Enter yes or no.

I \.;~ l i.J

j ~ J

lj r01 £j

ff_··~--,, ~);

~ ·. .

no I

_. I Eas;t

Q) . I

I

Branch lowa River

470 cfs

Rcicurrance Interval=

2. 2 3 sq. mi. r·!o.

5 0 years

Do you ~ant Q for a different recurrance intcrv~l? Enter yes or no. yes

Enter K·value corresponding to recurrancc interval and va1ue of r;. ayk 1.952 Any chanees in value of !~? Entei- yes or no. no E n t e r r e c u r r a n c e i n t e t" v a 1 i n ye u 1· s . RI

. 100 Any changes in val~e of recurrance interval? no

East Branch lo1:a River 2.23 sq. rni.

5~ 8 cf s

.·Ft'ecurrance Interval:::~ 100 years

Enter yes or no.

o·o you ·Hant Q for a different recur ranee interval? Enter yes or no. no ·no you \·wnt to deterr~·ine Q for anotl'er 1!21tershed? Enter ·yes or no. yes

Page 135: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

-5---4487. . East Branch Iowa River near_ I1ayf ield, Iowa

JJocation.-·--mvl,r sec.35, '11 .97 N., R.24 W., at bridge on County Road ·

11 B", 2 mile;:; east of ·Hayfield, Hancock County. . ,

. .

Draipa.ge a.rea. ---- 7 ~ 94 sq mi~

Gage. --Cr.est-stu~Je g:age. Datum is arbitrary.

State~·oischiirg~ re latiori .. ~--Def in.ea. by current-meter measurements.

Water year

·1952

1953

1954.

. ·1955

-1956.

1957

1958

. 1959··

1960

1961

1962

1963

1964

. A.ug. 4, 1953

~~June-18, 1954

July 6, · 1955

.- . Jqly 31, 1956

· .·.Ji.me 23, 1957

.. ·June 4, 1958

May. 21, 1959

.Mar • 2 9, 19 6 0

· Mar • 2 6 r 1 9 61

July 5, 1962

July 19, 1963

·sept. 7, 19.64

__ J. 9?·_ 5---·-~--· -·~-· -~pr • · 6 I 19 6 5

b" Affected by ice·

90

7.26

13. 01.

6.80

7.11

9.52

11. 89

6. 3.3

12.16

9.17

8.90

Discharge (cfs)

122

172

457

51

60

69

187

357

34

260

166

173

220

370

·:::> _c; 0 . . CJ L/

//) D·

. t·~ /_

I·:· ..

-L

. r­L

r [-: ·-

[~-

. --

[

·r .. 1-

. - --.

L

-r­[

. - r.· . I

L

. f.

r· . I

. .. .... ---·- ........ - . ·- • •.• • --• • •• • . -· -·· ·- •. •• •.•. ·••· - • .-- • .••• -- ··-· ··- -- • •• -r· •••••• • ..

~~~..;..;....---__;_...:.......~~~~~~~--'--~~~~~~~~=·=···~-- ~--

Page 136: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

" '

Enter nar;1c, dr0incip;e <Hea and gage number of \"JiJtcrsr(:d. [ast Branch fbi.'k1 Hiver. 7: 911 so,. mi. Gage llo. 5-1;1187

·,Any chaniIT,es in irlcntification· input? Ente.r yes or no. no Enter number of yc~ars of record. N .18 Any (:h<rnr,es in ve:1lue of 1P Ente1· yes or no. no Enter values of r·10~<.i.nur:i annual discrorgc. y ( 1) .

1.2 2 YC2~

.. 172 ... y ( 3 y .

.!1_5 7 y (I} ) J!). y ( 5)

.. ·.§_ 0

/

... , ,'·". Y(G) .§_9 Y(7) 18 7 . :_:.; .. :

y (3) 357 YUJ) .. 31t Y(lb)

·--~GO y ( l:i.)

J_GG .. YCJ.?)

1)3 Y(J.~))

. Z.2 0

. y (J. lf)

I70 y (15)

20 y (1 G)

2_G . y (L'). 1.21} Y(li.'.) _}50

. . - . . .. .· ', -

Any changes in di sch<1rge in!)ut? Enter yes or no • . . no

/'i::: .·. 2 .1111. S= . 0. )!JO g:::

. E n t e 1 · I~ v a l u c co r r 0 s pond i n .r; to · r c c u r r a n cc inte:·val and VZllL1e: of g,

. -, v': ( .l t ...

_J,_, ~) :~.

-0.220

· 1'.r;· . ;:1ngcs in val uc :·, · Enter yes or no. ·f.

··nr~_t1_r·.r-~~.nr··' :·~-~- i!·1 v0_0J·.'-. -·-_-··..:--.···.:..:··-,,.....:..-··.:::~"''''::;-':..::·,.,-=:::; .. -::;;:-:-:;;;:~,,..~ .. -~=""··' =·=-·====···=·~=-=-~..,..=--=· =-=· ·=-~=-=--·==-=~==-=~=··,=·--~--=·!·~-~~...,...._-.......... ~ ........... ~-..-..;:-.~~.~.;:.-.~·.,,.,.-:.: .:,,..:::.-.:,..: ___ _..::,...:::......;;;.,. ___ ...,,..,. .. ~---... ---~·--.,...., ---~ ........ ..,. ... ~-.- -

Page 137: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

/

no

East Branch lo\Ju River 7. '.JI; sq.

Q== GSG cfs

Recurrcincc I n t c ,: v c:i 1 =

Do you want Q for Enter yes or no.

a different rccurrc:ince

yes

Gu~e t!o.

interval?

E n t e r I~ v a l Lie c o r r e s po n d i n r.; to interval and v2luc of.·r,.:

recur ranee

ayk £. 153 Any chunges in ,/aluc of !~? no

t:nt~r yes·. 01· no.

Enter rccurrance intcr'.121 • . R.1

in ye01rs.

l_O 0 /\.ny chanr,es in value of r e r: u 1· r a n c e

·.no

East .~ranch Iowa niver sq. mi. Gage

789 cfs

Recur ranee Interval= lCO yea rs

Enter yes or no.

t·!o.

Do you via n t Q for a d i ff c r on t recur ran c e i n t e r v a l ? Enter.yes or no. no Do you vwnt to deterninc Q for anotber \·1citcrshed? Enter yes or no. yes.

Page 138: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

,·-.·

5-4830. · E<io;t Fork Hardin Creek ne2r· Churdan, Iowa · /e . . . . . . ., . . . .

Loc~t{on.--Lat 42 deg.06 ~in.25 sec., long 94 d~g.22 ~in.10 sec., :in SE~~~~ sec.5_, T.n4 ~., R.30 W., on l~ft bank 35 ft upst~eam . from higl)\·1ay bric1~Jc,. 4.4. miles upstream .frorn mouth,· and 6.5 miles sout11eu.st or (:!rnrdan.. .

Drainage_ area. ---24-. O <::~ mi.~ ·

Gage.--Recording. level, cla t.Frn o £

Dc-1,r:um 1~)2 9.

of gage is ,1, ·050. 90 ft above mean sea

Stage-discharge reJ.-o.t.ion·~ --Defined by current-r<:leter measurements below i80 cfs ahc1 above by logarithmic pl9tting.

R~ma~ks.--Base for p~~~ial~~uration se~ies, 200

. . · . . . ·Pee•.!:: stages ana· c1ischa}:-ges --------~-------....--.--·-········--···--=--·-----

Wat er · year . . : · Date

Gage height

cfs.

Discharge '.(cfs)

195.2 ---·-. , __________ --------· ___ ._(fee-t-:.J ________ ~---

1953·

1954 1955

1955

.. 1956

.. 1957

1958

1959

1960.

1961

1962

1963

·'-T]1)4 .- . -~.u -} - '· .

1952

. __ ·9·une 10, 1953

·_Au.g. 26; 1954 . ·.Oct. 13,. 1954

lfuly 10 I 1955 . . . ,, .. "1 .. 3

J":· .:.t y . I 1956

;iu.ne 14,· 1957 ~!lin_e. 16~ 1957

.. • .:iuly .19, 1958 ·

. ) : :1 y . 31, 19 5 9

J .'ff • . 2 9 I 19 6 0 ,_pr._24, 1960 ;· J.y 5, 1960 .L '.Y 25, 1960

J.:.·n: • 2 5 I 1 9 6 2 .. :r-u.1.y 1-1, 1962

: < • . ·2 9 I . l 9 6 3

·99

.4. 33

5.17

7.73 6.15

6·. 60

4.42

6. 5 ·j 8.82

6.10

7.36

b7.63 8.04 8.92 6.30

b 5.41

6.0G 7.46

7·. 78

.. · ..

79 : • .

.· 105.

, . :_ :_ . .\)I~::~·:J .. ~- 2?4 .

. 252 .· .·. ·· .

186

350 · · \:4_EfJ

231

Page 139: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

5-4830. East Fork Hardin. Creek near Churdari, Iowa ,·

--------- Peak _s:ta.qe _ _s and di_scharge._s _______ _ ·Water Gage Discharge year Dat.e . heig11t (cfs)

(feet) 1964 Apr. 13, 1964 S. 36 . 172

1965 . b Mar. 31, 1965 8.28 __________________ A-.i· pr . _ 5_,~l_.9_6_5 ____ ~6_. _1_3 ___ _

\;~~)_"g"~) ~; 214

a .About b Affected by ice

&?. '-./ / /~(.."'.

77

. · l

r

[ ./

r [

-r

. r r

100

": r

Page 140: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

. _:

Enter nar.ie, drainage area and gage number of \·JCJtershecl . . _f;_ o s t r o r k H a r d i n c re e k 2 It • O · s q . r:i i . G a g e r· I o . 5 - 4 8 3 O Any changes in identification input? Enter ~cs or no. lJ.O Enter number of years of record. t J . .

13 An y c h CJ n g e s i n v a 1 u c of r l ? E n t c 1· y c s o r no . no Enter y (1)

_7_9 y (2)

105 YO) l2 ~j y (I~ ) 2:) 2 y ( ~) ) 111. Y(G) ~)71

Y(7) 1_8 G Y(8) ') C' 0

.£.:_L' u. y ( '.)) ~13 Y(lO) J_5 0 YClJ.) 315 ·y ( 12) 300 '{ (13)

.17 2 y ( 11~ ) 300 '{ (J. 5) 3G7 y (1 G)

2_6 5 y (17)

77 Y(13) 30G

Vo 1 u e·s of maxir1ur1 annual discrar.r;e.

...

/u1y changes in di sch2Hgc input? Enter yes or no. no

fl:..: /..335 S::: 0. 23C g ==

tnter ~ value correspondini to rccurrancc . intc1-v<Jl and vc:iluc of~. ayk l· ~i<;G

-0.817

f 1 n y c '' a n g c s i n vu l u c of I~ ? E n t c 1· y c s o 1- no .

..

Page 141: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

50 /\ny changes in value of recurrvnce intervc:Jl? Enter yes or no.

no

East Fork llurdin Creek sq. rn i . Gag;e

Q= 51S cf s

Recur ranee lntervC11= 5 0 yea 1· s

Do you \·mnt Q foi- a different recL1rn1ncc. interval? Enter yes or no .. y_es

-Ent~r K value corresponding to recur·runce interval and value of g, ayl~ l_. 7 21 Any changes.in value of I~? E n t e r · ye s o 1· no . no Enter recurrance inte1·val in years. RI l_O O Any changis in VC!lue of recurrance i n t c 1· v a 1- ? no

East Fork Har cl i n Cr c e I~ 21;. 0 s (j. r:l i .

Q= !)51 cf s

Recur ranee Interval= 100 yea rs

Do you want Q for a different Enter yes 01· no.

recu1·i-c1nce

no Do you want to determine

. Enter yes or no. y_cs

intc:1·val?

yes or n9.

Page 142: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

Drainige aiea.--43~7 sq mi. ·.'

Gage, ---Crest_-stage ga·ge. Datll.'m is arbi t~ary.

Stage-aischarge relation. ~-Definea by 'current=:.:rneter measurements.

Rema.rk s. ---Only annual peaks are s11own.

Peak st.ages and discharges . Water ·year

1952

·1953

1954

·1955

1956

1958

1959

1.9.60

"1961·.

. ·1962

1963

1964

1965

I. 0/ ~,

/_{::.' /

;9t:be

I C;>/?' /L? /·

Date.

M,ar. 29, 1952

July 14, 1953

Aug. 26, 1954

Mar. 11, 1955

}1ar. 21, 1956

June 16, 1957

June . 7; 1958

June l, 1959

.M~r ... 29, 1960

Sept.30, 1961

July 14, 1962

May. 13, 1963

J\pr. 13, 1964

May_ 26, 1965

123

Gage l:ieig11t (feet)

8.09

8.44

.10.48

8.76

6.78

7.90

7.69

9.06

9.75

7.91

9.20

.9. 55

8.54

Discharge (cfs)

~18.

429

2, ooo·

·557

118

.. 270

225

700 ..

840

. .:.-, ·272

- 812

995.

466

9.78 •~~--~~~~~-1,ll_O'--~

c-7??-·-···.

g5tl

)c;;?//J /C:>V

I

Page 143: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

. r1 ,· ~ - . "

'l'. - . J

rq -, ., ' q . . I.

rn ~-·1

. t

rq r I

·1 DJ -!

CT] ' l .,

M ··-!

I M c.·cl

. I

Ente1· r10r.1e,. drc:iinc:r;e arcCJ and gage number of 1·1C1tcrshcd. Hardin Creek 43.7 sq. mi. Gage No. 5-482G Any changes in identification.input? Enter yes or no. _o_o Enter number of years of record. t ! . . .

1_8 Any change~ in value of N? Enter yes or no. no En t e 1- v a l u cs of rn0· x i rn u n <:i 11rw a l d i sch CJ r g e • Y(l) 318 Y(2) I~ 2 9 y ( 3) 2_000 y ( l~ ) r: 1- "1

.2_.J I

YC5) .118. Y(G)

·270 Y(7) 225

· Y( 8)

100 Y(9) 81} 0 y (10) 272 y (11)

212 ·· YC12)

2_9 5 YC13) .!!_ 6 G y (11~)

.. ·1110 YC15) 277

·Y ( 16) 8 5 Ii YC17) 570 Y(l8) 19GO

. /\ n y ch ci n g e s i n d i s c ha 1· g e i n p u t ? E n t e r y c s or no .

.. - -· .. 11 = 2:733 g~ -· -o: OG5 .. (' - -.J ·- 0.329

Enter K value cbrrcspondin~ to rccurr~ncc interval and v<:iluc of g.

Cl yk 2.019 /\ n y c h a n g c s i n v Cl l u c o f !·: ? (: n t c r ye s o r n o . f)_O

.. ··'

Page 144: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

1 .... --~-----·---··-·'···'··-··----- -- -- -- -L nt·L' !'. ·- i-l~- cc.ii"· 1--c:; ; f c· (; · ; ; : L , : ,-

i fj ·RI . . • c.! r - I fl yc;c: i -... •

l • J, ... , .• • 50_ .·.

Ct. j

l . '

'

9·-

. .

""~-h'. ' ;::.

" l . ~'--··-

< ·~: . :;

I ~ j r~ l 9.' I.;:~

,,

·Any changes in value~ of rccurrance inter-val? t:ntcr yes or no . . no

l!ard in C re: ck I; 3 . 7 sq . m i .

Q= 2522 cfs

Recurrance lnte~v~l=

Do you want Q for a different rccurrancc interval? Enter yes or no . yes

E n t .e r l~ v a l lJ e co r r e s po ; ·1 c! i n g to re cu r 1· a n ·c; e interval and value; of ·_r;. ayk 2.278 Any changes in 0alue of K? Enter yes· or· no. no En_tcr recurrc:1nce intc~rvzil in years. RI l_OO Any changes in value of rccurrance interval? no

Hardin Creek 11 3 • 7 s c; • rn i . G b g e t I o . . 5 - I; 2 2 G

Enter yes 01· no.

.: Q= -3063 cfs

.... ;• ·~ '.'

Recurrante Interval= 100 yeu rs

Do you want Q for a different recurrance intrirval? Enter yes or no .. no Do you \·.fant to dcterni nc Q for anotrer \Vatcr:,hcd? Enter yes or no. no

END or- dOB.

l 080U t. Tll'iE 13:13:'.i:-s; TlrlE US'.::n: CPU 00:00:10; T~f\i': 00:2:'.:53; Pi\GE 00:111}:51

Page 145: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

. . : s~4821.7 Bi~ Cedaf Creek near vari~a, Iow~

.Location~--L-at. 42 deg. 4l"min .. 21 sec.,. long 94 deg .. 47 min. 55 JO . sec., in. NE14NE~~ sec. 24, T. 91- N., . R. ·34\·7 .. ,· on left ban};. S ft.·

Clown_stcearn from .county l1ig~1i,.;ay brisJ.ge., 3 .1 miles u.pstrearn from Drainage ditch 74, and 5.5 miles northeast of v~rina.

·Drainage area.~-80.0 sq: mi.'

. G~gi.~-~ecording. · Datum of gage is _l,225.12 ft a~ove mean sea

· i.eve1, datum of 1929. . '.

stage-discharge r~lation:--Defined by current-meter measurement~ .

. Remarks.--Base_for part:i,al~du-rctcion series, 400 cfs.

water .. Year

1960

1961.

}962

)_963

: ... ·. 1964

. 1965

____ Peak st.§_ge~ and discharaes __ _ Gage

---·---

·.Date· · height Discharge _J_f ~ B t} _ __:·=-·-=-· -=--= .... =-·· . _ -"_t~ f ~-1--~~-

Mar.· 27, 1960 .. June 16, 1960

.Mar. 25,.1961

·Mar. 31, 1962 ·July . 2' 1962 ·July 4 I 1962

July 28, 1962

Aug. 31, 1962

J·une 2, 1963

May 6, 1964

Apr . 8, 1965 . :June 6, 1965

~----·

11.42 8. 27-

11.88

c 8.91

. 10. 15 7.89

·13.08

"6.57

6.23

10.17 7.00

(:L~'93:c2~/· 466

al,000 665 960

. 452

~~:~:-~:§]_sD:~1

.333

291

-a About c Maximum gage height. 14. 49 ft. Mar. 29 · (ice jam)

25? /966 .

/9~~?.

/</b9

. 11

~'5·

_.9.92

·-. ~- -·· . - .... - ·-· ... ~

Page 146: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

·. 1o~i11 ( h 1· i dge, hr i (kc C'l) GOOD AFTEfHlOQ!.J; USEf< Oli; Tl1',·r:: 13:25:27 2/0S/71; loCJd (1pear3) . · . -6._C C]

Enter nar1c, rfraincigc~ an~.:i and g;:i;;e.nw1hcr of \V<ltr::rshcrl. ·Jliz Cedar Creek 80.0 sq. rni. f:ap;e flo. 5-h321.7

11 I · ' ' 1 • f' ' ' ? E . 1°.ny c ;anz;es 1n ir.cnt.1 ·1c<1t1on. input. :.ntPr yes or no. I!_()

Ente1· rnir=1her of years of record. rI l_O

.fl.ny· cbanges in veil tie· of H? [ntct· yes or no. -. I!_O

Enter vol ucs of rr1ax inur01 2n11ual di scl:CJrfJ~-. \'(1) l_O 2 0 YC2) l_li 6 0 Y( 3) 2080 y (I~)

YC5) . 291

.· , y ( G)

l_OGO Y(7) 1.5 7 Y(3) 352

· Y(9) Ii 5 Y-c10). -8_9 2 ·~' n y c hem r: c s i n d i s c h a n:: c i n p u t ? En t c r y c s o 1· n o • I!_O

M== 2. 7 I~~

Enter I: value corresponding to recur1·<rncr. intervill. 211d val uc~ of g.

1. 3h1

-1. 251

/\ny chrnr:;cs in v~luc of I(? Entet· yes or no. D_O

En t ~ r re~ cur r <111 c e in u~ r v o 1 i n ye a rs . RI 50 /\ 11 y c ! 'Cl 1 i.r; e s i n v c=i 1 u e of r c c u r 1· <rn cc i n tr: r v Cl 1 ? E n t e r D_O

Dig Ce(!cir Crc:ek 80. n sq. mi.

0= 25G8 cfs

yes o 1· ·no.

Page 147: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

. . ~

ne~urronC(~ Interval== 5 0 years

!Jo you wunt r_ for 2 diffc1·cnt rccurrccrncc En tt:"! r yes o 1- no. :f..CS

Enter K vulue corrcsponrlinr, to recurrance i11·tervul and .value of r; •. a'/ k. 1.1:13 /\ n y c h 0 n [: e s i n v ci 1 LW of K? E n t c r ye s o r n_o Enter recurrancc intc.rv~l in ycors. Rt

interval?

no.

10 0 /\ n y c I: a n g c s i n v o 1 u c~ o f r c c u r r <:Hi c c i n t c r v i1 1 ? E n t c r ye s o r ri o , . n_o

Bi~ Ced<1r Creek 80.0 sci. rni. ragi:: l!o. 5-1;821.7

O.== 2787 cfs

.Hccurr<rncc Interval=" 100 years

Oo you \'Jant 0. for a di ffcrcnt rccurroncc intcrv;:il? Enter yes 01- no • . no Do you \ .. tont to rletcrr-~ine Q for ano:th~r \·1crtcrshcd? Enter yes or no. yes Enter na1:71c:, ('rainuf;e urea anr! r,agc ntmher of \·t<1tcrs!·ed.

• • ..1"" ,--

. . . . ------·-·~- .... .__,. __ "_ - ~-k-----·- ---·-··----- -~--:0.....:....-----------~~-:. --------~-.. ~---- ________ ,, __ _

Page 148: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

~ . .

.

~ . ' .

~ . '

·~ - -5-4829. Hardin Creek pear Farlin, Iowa

Location.--Near ~orth quarter corner s_ec.14, T.84 N., R.31 W., at brids;re, 1.5 miles nm:theast of Farlin, Greene County_ ..

Drairiage area.~~101 sq mi .

. . Gage. --Crest-st.ag·e gage. Datum is arbitrary.

Sta,ge--discharge relation. --D2fined by current-meter and indirect measurements.

· .. RernarJ~s. ---Only annual _peaks are shown.·

Peak- staqes ana dischar.qes --------~------·---- . Water·

Gage Discharge year Dat~ height (cfs) ."(feet)

1951 Mar . 29,."1951 1.2.97 2,270

:1952 Mar. 29, 1952 9. 11' 472 . '. 19$3 .July 141 1953 7.96 300

-1954 Aug. 27, 1954 12.57 1,810

1955 July.lQ, 1955 10.03 631 -.

1956 c 200.

..

·i7. 1957 .. 1957 June 10.59 .. 743 . I .. . .

.. -.... 1958 c ..·/50

1959 J11ne 1, •. 1959 11.40 980 ..

1960 Mar. ?9, 1960 13.32 _l,960 ~ . :1961 .Mar. 27, 1961 8.86 324

1962 Mar. 26, 1962 12.48 2,000 196.3 May 13, 1963 10.-87 930

1964 Apr. . 13, 1964 9.39 615

1965 Se.E_t.27, 1965. 9.79 703

·C PeaJ~ stage c1id not rcuch botto;-n of /9b0

124

gage 97~/

/'Yb 7 ;'.)? 2-0 ,q· .,;-:; .

. //~(ct z5C.)

/'f'(',9. Io r-:; t,I/ / v i../ ) ....

. -~----- ···- ,-. -- - .. ---- ···-····-··· .. ·---· . ··- ....... . --·-· .. . - ·-······- ·-· -····-·····- -- ----······ •J ······------ ····--·

: .. ·.

,. .

l

r.

r

Page 149: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

· Ha r(n n C rce k 101 sq. rn i. Gar;c fro. /\

I • • 1 . t • .r. • t • • . t ? . ny c,'<:Jnges rn 1cc!n-1,·1ca·1on rnru. Ent e r ye s o 1- no .

JlO Enter nur~~hc;· of years of. rccorr!. t l . . . .

19 -Any chrnz,cs in vciluo. of fl? Enter yc~s o;- no . .o_o E n t c r v a 1 u e. s o f '"t:l ;~ 1 1:1 u n a n n u 2 1 d ls c h:i rt~ c. • Y(l) 1270 Y(2) !17 2 YC 3)

_300 . y (ll-)

1210 Y(5) C31 y ( ti)

: 2 0 0 YO) lli3 Y(2)

150 Y(9) 98 0 . YO 0) l9GO

. Y(ll) . .2_2 Ir Y(12)

·. 2 000 YC13) 2_3 0 y ( 1 l: )

615 Y(15) 7 0·3 Y(lG) lJ._71: YC17)

.1020 . Y(18)

25 0 · YCl:J) 1950

.--,: __ .

Any cLrn1Y,0s in rlischarr;e inrut? Entc:t· yo.s or no.

S= 0. ~~ G 2 f; =

E.nt(~r !~value c.o'rrcspor~r!inrr, t0 rccu1-r<lncc ·intC'rVol ~ind voluc off.. (I yk l_.'.J~~7

_r ,,,. r) ,- •• J. ' ,_, •• -, ,.. ,- '. • ~ ,. ....

-fl.17"/

Page 150: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

"<,, .............. ,,.., -·

!lO E n t P. r r c c u r r 2rn c c i n t c r v a l i n Ye ,J r s· ; RI

/1ny chc:rnges in vol uc -of· recurr<1ncc iritcrv<1l? Entr=;r !lO

.. Ilardi n Creek 1 01 s <l • · r:i i . Gar; r~ fl o . 5 ~ L~ 8 2 '.:l

Rccurrcincc Interval~ 5 O. yc0 rs

Do you \v<lnt .n for a differc~nt rP.currancc intc:!'v;:1l? Enter yes or no.· y_es

·Enter !< val uc cor-rcspondi ng to rc~curr-<1ncc:

i n t e r v ;:1 l <i rir! v a l u c: o f r; . a yk 2 .19/f

.·. An y c ! ~a 11 g cs i n · v a l u c of !~? .En t c r ye ;, or no • .. n.o

Enter rccurr<Jncci interv~l in yc0rs • . RI.

l_OO Any chanp:cs in value of rr~cur1-0nc0 intcr-.v<'ll? Enter

. n.o .. ..,.· .· . . ' .. ·~·... . .

.·Hardin Creek 101 sq. mi.

o>= . "\

Recurr2nce lnterv<1l:= 100 yeC1rs

Do you \vant ()_ for a rli ffcrc:nt recur ranee intcrvol? ·.·Enter yes or- no.

n.o . ·Do. you \·Junt. to dctcn;:ine Q

EntRr yes or no. y_e s ·

for anotl·e r

yes o 1- no.

yes or no •

--

Page 151: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

·- .

·:._.

..

5-4490. Ea st Branch Iov1a River near Klemme, , Iowa · (P.ublishecl ·as "Ea.st Fork Iowa River near Klemrne". 1948-58)

23

·L~cationj--Lat_43 deg.00 min~3b sec~~ long 93 deg.37 mi~.35 sec., ·.in NE~NV1!~{ sec. 36, T. 95 N. I R. 24 w. I on left ban}~ 15 feet cJowr1-·

I . .

stream from 'highway bridge, 1.0 mile w·est of Klemme, ancl 18.2 mile~ ui::is.trearn from confluence with West Branc11 Iowa River I and at ·m:ile 345. 3 above n~out11 of Iowa River.· j .

_Dr~iri~ge area.--133 sq mi.·

. G_age .. _--Recording. Datum of gage is 1, 17 9. 02 ft above mean sea --··-.. --·level, datum ·of 1929 .. ·Prior to Oct. 1, :19:i_5, nonrecor.ding gage

. :-·at site 0.6 mile ,upstream af datum 1.11 ft-higher.

Stag~-discharge relation.~-Defi~ed by current-meter measuiements.

R~~arks.--B~se for ~a~t~al~dur~tion in series, 700 cfs. ..., .·

- . - . . ·- -

··.-----Peak stages and discharaes

· Discharae ;.J

(cfs) · : water Gage . , year . Date · ))e_igh t 1 ~: .: - .. ~----~------~-~---·_-_-__ ·~--·-·----'----·~(_feet_).~·---~-~---

-":..z-·1944 _________ -_-_-_ -. --------~~ :-~_-::~---~---.~-~---· _19_4_4_· ---'-~--'·~9--.. •:..:9._6~. ·----<..L..~~?97 ..

. . 1948. -·~ ..(~ .. .

·1950

1951 _! :. -.... •

195.2.

1953

.. .1954 . ..

'1955

1956

1957

1958

1959

Mar. "i-5~- 1948·--·· (_<4.68"-------~ ......... .: _rc-2.38

· .Mar • ·7, 1949 . . . . :·· ·- - -- ~ - · .. . ·:. ~-- ~-- ~ - ' - (. - .

... - i. .. •

Mar. 26, 1950 ..

Mar. 29, 1951 !-':·

1951 - . ·Apr. 7 I

June 26, 1951 l

Mar. 30 . . I 1952

·June 8, 1953

June 19; 1954

J\me 21~ 1954

July 5 I 1955

1'1ar .. 26, 1956

June 2 3 I 1957

June 4, 1958

May 21, 1959

91

b7.3

b7.o2

bs.59

a

8.61 10.80

7.60

5. 70·

11.2 10.74

5.47

b '4.91

4 ~7 5

6.08

.8. 25

.1, 000. ·1, 940

··v(~::a:~:cL)

900

385

t:$.·.·;:~3·9~~}F 4, 820 ...

348

·176

3~55

1,100

.::;,

-.

Page 152: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

·l•

-l' y !. r: Ll ~.

'

J

~ j l

.

l }~

-·· ~:

;

~ " I t I f'

i ' l

r~

fJ . ~J

East Branch Tu;·.'a River near Klerm~e, Iov1a--· (Continu_ed)

·-----Water

·: . year I I

____ Peak sta_~l.~S and cJ?._scha·r_g __ e_s_· _ -------,.... ------------·Gage. Disch,C1rge

Date height (cfs)

------~-~(_f~~-t~)-~---~-~ -----------1959 I

.:/ 1960.'

/­/

1961

: 1962

1963

·May '31, 1959 8.12

·Mar. 28,

Mar·. 26,

Mar •. 30, J_uly 5, July 20, Aug. 3_1 t

July 6, . au1y 20,

.. Sept_. 9;

1960

1961

1962 1962 1962 1962

.1963 1963

1964

8.2-5

9.40

'b9. 05 8.53 8.20 8.84

8 .. 48 8.44

8.09

1965 .·Apr. 8, 1965 9.'94 June 6, 1965 7.6j Sept.19,·1965_ 9.39

__ · ~---.·--· _.-_ .. _· __ : ::.._:_.:.__. _Sept'. 2 9, 196 __ 5 ____ 8. 48

a About b Affected by ice

c Maxirnurn for period April. to September 1948· <;) Maximum stc:tge knovm

·• 92

1,020

1,100

3,250

al,600 . 1; 420

1,090 \"'·r;:8-3o}J

..,..~·.;....·~:...:..·;.:., .. .,~

972

ti~£9-:.q] 728 .

-· 2,080 1,090

35)

2770

..

' i

·J

Page 153: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

E ri t c: r I n <w~r: ,, ~ E a· s t / r r a n c h Any c !'anr~Ps no j En t c: r n u r, h c r

. ti . /' 1_3 !

drciir1<lf.E: 0n~<1-and g;:igP. n11r~h0r o-'.- \"JaU:rsh:;c!~ I . n• 1"'~ .. r- fl ~11°c 01·n1-.1vcr :J:Jsq.rni, 1"agc o. ::>-~;.:i·

in ic~cntific<1tiori inrwt? Entr'.r yes or no.

o_f yc~ars of record .

_Any chcinges in value oft!? Entc:1- yes or no.

110 .Enter val uc~s 'of r~axh·1t1n an11u<11 ·. cli sc,l~cirp:c:. '{ ( 1 ) 1_38 Y(2) G 8 5 '{(3)

500 y ( I~) 3 l~ I~ 0 . Y(5) 900 Y(G)

YC7) 59GO vC's).

·. Y( 9)

lSO ·vc10) l7G

·yc11) 355

. Y(l2) 1100 '((13) 1020 y ( 1 r;) l_J. 0 0

'. '{(15) 3250 Y(l G)

1_830 y (17)

. 95 0 YC13) 972 YCl 9) _!}_090 y ( 2 0) _G_J. 2 YC n)

YC22) 2.~i J. .

)

·'

. Y(2~1} 2:) 7 0 Im y c 11 n il .r: c: s i n d i s c I~ ;:i r ;r f~ i n p u t ? En t r: 1· ye s o 1· n o .

.•

. "'·

Page 154: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

H= 2. ~J 3 O g=

Entr;r I~ vcilue corrosponrling to n~curr'1nce int~i-vul c:ind value of g. ayk 2.167

. O. 21 G

Any c!:anr,cs in value of K? Enter yes or no .

.!J..O En t r-o 1· rec u 1· 1- an cc i n t c r v o l i n y c <l rs •

·RI 50 /l.ny chnnges in val Lre of n~currancc interval? Enter yes or no •

.!J..O

East 11rcinch 101-;0 River . 1:n sq. r,-;i.

O= 7703 cfs

Recurrance Interval= 50 years

Do you want Q for a cliffcrcnt rccurrnncc interval? Ent e 1- yes or no. y_es

Enter K value corrcsponrllng to recurr'1ncc interval an~ value of g. <iyk 2. If 8 If f\..ny changes in value of K? Enter yes or no .

.!J..O Enter recurrance interval in years. RI 1_00 Any ch<111p;es in Vl:ll uc: of recur ranee intr.rvc:il? Enter yes or no •

.!J..O

East GrClnch lo\·1a Hiver 133 so,. ni.

O.= C i- c-' _,

Rcc11rrcincc Interval= 100 yo<Jrs

Do you \110nt O. for <1 ciifferc~nt rectirr·ancr: intr:rval? Enter yes r)r no. no Do you \'!unt to cetcrrcinc Q for <1noU-er.v:<Jtrrsl·cc~? Enter yes or no. Y.._C S

E

Page 155: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

. ~.

ml Li

j ITT 1 Tu J

'.l., ~\.' ·Y . I. , ··J

l ~ l ~ 1 :l

l j 1 ] . ,

i ii h :1 ,, :1

i . : .. ' l1 l\ li 1' 11 '' .,,

~ ·:: '

CJ [: ..

~~ . f; l~

.

5-4800. Liiard Creek nea~ Clare, I~~~ (Publisheq ·as "North. Li-zard Creek nr. Clare, 1940-54)

·. • ...

30

I . . Loca.tion ·.---;Lat. 42 deg. 3 2 rnin. 40 s

0

ec. , long 94 d&g. 20 min. 45 sec. , · -in NE!;;;NE~ sec. ll, 'r ~ 89 N., R. ~O W., on r ightc·ban}( 20 ft down,....

stream from high\·w.y bridge, 3 miles south of 2clare, 8 miles . I . . . ' . northw~st of Fort· podge, and 8.9 miles upstream from South Lizard/ Creek. ·

. . / j ~ . . .

D~ainage area.-~257 sq mi. . . l •

Gage. --Nonre_cordin,g prior t.o May 6, i.953; · recording there a ft.er. D~atum of gage ~~- 1, 079. 30. ft above mean sea l_~vel, datum of

. '1929.

Stage-discharge relation.--Defined by current-meter ~easurements .be lo\~ 4, ?OO cfs and by logarithmic plott.ing above 4, 500 cfs .. -, .

-'·

Remaiks.--Base for partial-dura~io~ series, l,Orl?.c£s .

Peak st.ages and. discha1~ges

.. ·.·'

--~~~~-~~~~-~~'--~~~~~~~~~~~~~

Water .·Gage year. Date . height

Dischar.ge .-{cfs)

(feet) ._,__~--~~~~~~~~

1940

1941

1942

1943

19~4

1945

1946.

1947 ..

:.

...

.. 1948

1949

Aug. 26,_.1940 4.8

.June

June.

Feb.

·._May -· June

Ma.r ~ ..

Apr. . May

· _: June· ..

.··May

June ... .June

June

·Feb. Mar.

Ma)_ ..

14, 1941 ·-·

5, 1942

22; 1943" ' :

'20 I 1944 13, 1944

11,· 1945 24, 1945 22, 1945 l, 1945

25, 1946

1~, 1947 23, 1947 30, 1947

2 8 t 1948 18, 1948

5, 1919

.176

- -

:.'> 5.1

. 6.65 I ·.

7.4 . 1: .

. 11. 11 9.2

7.42 6.7 6.7 6. 8 } .

9.18

6.1 16.0

8'. 5 .. - .7. 2 .7. 5

374

tl-42

1,060

1,440

\I~~~~?.-Q:.J 1,270. 1,310 1,310

2,750

1,700

r ...

t r -.

L r . .

L .

E ·r·

_:-j

r r L

L L

. r.

r ..

[

r . r

""' r I

Page 156: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

.

,. 'l I

.. ·-'

5:--4800.

I water

. i. .. year

I .·/

195,0

I 1951

1952

1953

.1954

--1955 '

1956

1957

1958

1959

1960

1961

1962

1963

'

1964

1965

:/96'8

' ' -:-:.

'. ; ~- . ·. :- ... . .. '

- ..... . ,'. -'·

;Lizard Cr.~ek near. Clare I To~~.;_.,., (Qontinu~ay . :: '.'

-... _. . , ._ : ~- -

Peak stages ana a is charg$__s_~-------'--..'----'---· Gage .. Discharge

· (cfs)

.

: ..

.. .. . : .. ..

... .. ' . .. •.·

. ~ .

. ~--

Date height (feet) ---- -----'"· __,_ _____ _

870 June 25, 1950

Mar. 28, 1951 May. 2·, 1951 June ·· 18 ,, .f9s·l . ·

. . '. ..

· Ma·r. 3·0·, __ l.952 ..

'July, sr .t.952 : ... -- . ·'

-.-.·.

Apr.· 25_, l95S . ·. '.

: May 31,, -i.~56

May 21, 1957

June 3, 1958

June 1, 1959

Mar. '29, 1~60

·-Mar. 2°6, 1961

Mar~ 28, 1962 July 3, 1962 July 5 I. 1962 Se1=:it .. lr 1962

June 6, 1963

May 24, 1964

Apr. 7 I 1965 SeEt.29, 1965

177

5.7

. i o . 4 2 .. \(cI~~~I?:·) . 8 .• 7 9 . ; . 2 ,. 3 9.0

.'~: ·. "i~J;:~ ; ,· ''i··43-o· .. . •'.y 'ji'·j~:~;:.'tff;E~~f E!~1~·~¥o~' ...

.. ··.

'··,.,·.,· .

. '. ··.; ~--. .·_-, 4.75

7.71

7.67

10.01

9.08

9.55 6.27 7.22

11. 90

. 6 .15

5.29

11.10 6.19

.. ·

.: .. ·399

1 1 740

~i740

3,650

2,900

3, 360' 1,080 1,630

· \:.~[~~~-1§0·::~~'.:J 995

560

t~-~~~?~?~J? l,O:W

3350.

/2(5'

/d-OO··

Page 157: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

- - ~ , .. ntct- n01r~c., dr2inc:1,<:c urea <Jn(! c:;ilr'.0 rn::-'!r:;- \).r- \·h:itcrsf~ed.

L i z ci G: rl r: r c c l ~ 2 5 7 s ci • r.1 i . r i1 :~ r~ t ! c . '.> 1 + 8 o o h1y c!?1irt:s i11 ic!c1it(ficution input? F:11tr:~1- yc:s 01- no. D_O

Enter rnli';:!icr of years of. n~co1-(1, tl 20 ~,il'y c!~anp;es in val uc: of l·l? Enter ye~:; or- no • .o_o Ent t: 1-y ( J_ )

3 71, YC2) 1+1+2 YO) _lOG 0 y ( 11) i1111 o _ Y(5) . .!l_lrl o Y(C) 15 7 [) YC7) 2750 Y(S) 10000

.. Y( 9) _1550 y ( 1 0) .· 1-7 0 0 Y(ll)-..$_7 0 Y-( 1 2 ) .1G2 0 Y( 13) 11170 YC l Ir)

.. l_l<JO Y(15) G210 Y(lG) GGO Y0 7) 147 Y(12) 2_9 CJ Y(l9) _171~ 0 Y(20) 171} 0 YC21) ;J_G5 0 Y(22) 2.900 YC 23) 2_1r00 Y (/If)

:I

_Q.9 5 Y(25)

l I

(_ 5CO Y(25) I; G7 C y ( 27) fl 7 0 Y ( 2 R)

Page 158: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

.. .,.

j l

.I

;1

I I

i'

' I

. ·{ ..

I . -.--·· -.--·--·- ·-- ..

Y(29) 120 y (3 0) 1500 /\ n y c ha n r; c: s i n r! i s c h <Hf, c i n D u t ? r. n t c 1· y P. s o 1- n o • D._O

f.j == 3 • 1 5 I}

Entr:r· f( val uc corn~spondin,": to rP.ctir1·zrncc intct'val rin.d val l!C of g. . ayk .

-0. Vl?

71_.722 . . ,. , · \ n y c ha n .rr, c s 1 n v <1 l u c o T k? En tr-~ r YP. s 01· no.

t1-R t c 1· r c c u 1- 1- <rn c c: · . i n t c r v 0 l RI _2.00

in ye tl 1· s.

/\ny chan~cs in Val uc of rc~currancP. intcrvC1l? Entc1- yes or no. y_c s E n t r. r r c c u 1· r zi n c e i n t (~ r v o l i n y e a r s • RI 50 /\ny chc:inr:es. in val uc of recurrc.rnce intcrva.1? Enter yes or no. D._O

.Lizard Cr:c;cok 2S7 sq. mi. Gat,e Jlo. 5-1:200

O.==· 9339 cfs

fZecu1-rancP. Interval== 5 b yea 1· s

. : ... · .. •

Do you \·1ant Q fo1· c:i di ffcrent recu1·runcc it1tcrval? E n t (~ r ye s o 1- n o • .Y.es

. . (. n t c r f~ v a 1 u P. co r r (~ s pond i ng to r r: cur r <rn cc 1ntP.rval anrl v<.1lue of r; •.

,ayk l_'. 9Gl

· /\ny ch;rngcs in value of I\? Enter yes or no. no Eri"fci- 1;ecur1~ancc: intervol in yc;:ir-~. RI 10.0 f\r1y ch<::rnr:c·s in val uc of recur ranee intcrvC11? Enter yes or no.

no_

L i z c:i ,- d C r c e l~ 257 sri •. rc1i.

Q== 11280 cfs

1fl0 ye-; a r ~;

no you \·1<1 n t Q for o d i ff 0. n~ n t r 0. cu t- r 0 n cc: i n t c~ r v t1 l ? E ri t c 1· y e s · o r n o • n r' ·-···-· -·--.·- -·--· ------- _,._ -·· ~ .. -. ·-·--· , __ , .. •.-·.- ... .., ..... -----·-.--- ...... --- - .. ··.--.... ,.--- ". - - .. --~ -· -- - .. -~ .

Page 159: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

.· i ., . ~

l ·,

'

T .1 .. ,

·. ·'.l . ··~

··~' .

' j

·;• .. -•' :i·

--~·

.·l.

r·. . I

l' I

,, . 1

,.·

.5-4810. Boone River near Webster City, Iowa :::> ,7) vu Location.--Lat 42 deg.26 rnin.00 sec., long 93 deg.48 min.15 sec.,

·in l'>"'Y·!~SE~ sec.18, T:88 N., R.25 .\'f., on right bank 10 ft up­.stream from bridge on Stat~ Highway 60, 2 miles south of Web-· ster City, ahd 4.5 rniles dovmst.:r;earn from vThit.e Fox Creek.

braihage area.--844 sq mi.

Gage. --·Nonrecording prior t.o June 26, 1940; recording thereafter. Datum of gage is 989. 57 ft above mean sea level, c1aturn of 1929.

Stage-discharge relation.--befined by current-meter measurements.·

. -Remarks.--Base for,partial-duration series, 2,500 cfs.

•.water year

Peak staaes ancJ ------~!

Date

~· h a isc .. 9-LY_es_ ·Gage height (feet)

-------Discharge

(cfs)

1918 J·une 1~_1_91_8 ci9 . 1 ------ 2~1~?r\)O-" -____ :_L~d_, __ . -

1932

1940 Aug. 15, 1940 4.40. a 740 ..

1941 June 3, 1941 5.4 1,500

June 7, 1942 6.7 2 t 620 . ·. \:J:: o~§:O"~·-~:.J J·une 30, 1942 7 ;52

1942

'. ..

1943 Mar . 16, 1943 6.71 2,410

May 20, 1944 11.4 7 l 090. June 14, 1944 13.70 \:J.~~~LLI9~q::=:~

. 1944

1945 ·Mar·. 13, 1945 9.26 4,820 Apr. 17, 1945 7.42 3,13_0 Ap)~. 24, 1945 9.18 4,730 May 24, 1.945 7.44 ·3,220 June 2, 1945 9.21 4,810 J·une 10, 1945 7.0 2,810 Aug. 1.6, 1945 11.51 \:J~:~J2~2~::?

. 1.946 . Feb. 1.946 al0.1 5,340 .Mar. 13, 1946 . 7.47 · 3,150· _t.foy. 26, 1946 .10. 67 ~~:_({;)] lt1.

1947 June 13, 1947 8.02 3,780 June 18, 1947 8.05 ·3, 800

l.G

-. -.

Page 160: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

~.-

~Z' • .. ,.

;

• !

., i I

I -

I

' ' l

; I ~-~ I ' '! '

' IT"

I~~ l I

~~ t : j

--·· l

5-4810. Boone River near Webster Cit~, Iowa--(Con~inuea)

--'---·-------· Pea}~_, s t<~ge·-~-- a 12~_9 i scl1~r g es ______________ _ Gage . Discharge · Water

yea~ /

1947.' ' J

J 194~/

I

1949

:: 1950"

19_51

'1952

• 1953

1954

1955

'1956"

1957

1958

. - Date . . height (cfs) . (feet)

J-~~n e 25~94 7-----------\ 2 . 7 5-------- \:~J~~j~~g- .~f -J-uly 1 1 1947 · 9:52 · 5,250

.. Feb. 28 1948 bs.·4 a2 GOO

, I . I.

Mar. 19, 1948 8.40 \~~-~~~::II~.~:

Mar. 7, 194.9 8.24· \:~r~~-~:§_·~-=s Mar.• 28, 1949 6.90 2,820

Mar. • 7 t 1950 9.25 ~~:~·~;~~-9~·-] June 18, 1950 8.10 3,890

.June 24,. 1950 .7. 10 2,990

Feb. 27, 1951 b9_. 2 a4,~50

Mar. 6, 1951 6.60' 2, 580

Mar .. 29, 1951 13.00 9,800

Apr. 7, 1951 .lLOO 7_/ 070

Apr. 25, 1951 6. 70. 2 ,_s\o _May 2, 1951 9.85 5,630 -·

June ·3, 1951 7.30 3,030

June 15, 1951 8.08 . ·. 3 830

June 28, 1951 13.37 '. -~ \j~g_;:.~·9 __ 9:·-,:;,1 .•

_Apr. l, 19.52 7. 65 . 3, 330 .

.J.uly 9, 1952 8.10 _tJ:~~~~~:-~~--) July 15, 1952 7.10 2, 840 _·

--,

May 1, 1953 5.72 1,760

June 10, 1954 7.72 3,450

June 22, 1954 18.55 \~~3D: .. ~-~rg~;_) Aug. 27, 1954 7.04 2~790

., I

J·uly 6, 1955 11.14 7,190

May 30, 1956 4.32 890

June 16, 1957 - 7.52 3 230 I

July 15, 1958 9.47 5,300

24, 1959 ~.·~~·· ..... -.··~ ... q ..... ,•;:_7~~':"!?~

May 7.50 . \ 3-, 30u .. ,~ '.:.~.: .. -... ...... ~---~ '-'····

o·une 11 1959 7 .40 3/ 210

17 -:

' ' __ · -- - -- ... --·---·--------·--..---- --····· --- -.--- -: -·-· ·- - ; -_,, ___ ,_ - . --- -- - ; - - -- --------- - ---- ----:- ·-··---- .., .. .,.._ ,.. --·- :::----·,- ------·--·--- -----:-·--.. --·-...------ ----·-··

·:.-.

Page 161: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

. . ~

• I

I . I

.f

' . i

I .

!

I" . I .

. 5--4810. Boone .River· near Webster City, Im·1a--- (Cqntinued)

Water year· I

/ I .---

1960

1961

. 1962

. l963

1964

1965

..

a About.

.,, ' 1 o~sc1arqes

Date ·

Mar. 29, 1960

Mar.· 28, 1961

Mar. 31, 1962 Sept. ;3 J 1962

Apr. 29, 1963

Aug. l, 1964

Mar. 1, 1965 . Apr. 6, 1965 . May ~7, 1965

J·une 3, 1965 J"une · 6, 1965 Sept.22, 1965 SeE._1:__. 29 ,_1 .. 965

Gage height (feet) 12010

9o80

7.52

·7. 77

e 15.91

7.91 8.02 8.12

. 11. 48· 10.ll

·-~-

b Affected by ice ,; ·

Discharge (cfs)

5,860

3,520

·3,820

..

a6,600 Ki"~'.,~2.b'.Q:~) .

4,010 . 4 I 100

· .. 4 I 060 8,060. 6 ;240 ___ .

c ~aximum stage known since 1896, from floodmarks, from informa­. tion by local resident

·a Maxi~um for period Mar. to Sept. 1940 ~: · Unkno'dn

/966?

./969

-i.8

56/0

3 O<').O

f:?'J7CJ

L {i

'. r r r L

[

F

·r

I"

·I' r t

··.-r

r

·l

i

l

I

! . !

) "[

Page 162: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

) I

· xeq Enti::or ntir':c;, rfr<lilli),<~r: ;:1rr;a und g<.lr(; nur+cr of \Fltr~rshed. P,oone, Rivc1· 8111: sq. n1i. Gage !lo. 5·-11210. Any c'h;,:rnr:es it1 .ic10ntific,-:;.tion input? Enter yes or no. no / . En t c · ,. n Lu:: h c r of ye o r s of re c o r d .

. r !

30 f\n/ chrnges in value of f·l? Enter yes 01- no. y_e s Enter rllmher.,of yc01·s of rr:cord. f J I

,-/

. 3 0 f\ny ch<:irl~CS in Val UC of fl? _Entr:1· yes 01· 110, no Entc1· vo·l tie.s of n1<1x iP1wn_c:rnnual r!i sc!~cH,SC. YCl) 2110 '{(2) 1_~) 0 0 Y(3) 30GO y ( 11)

21: l 0 YC5) 1_0200 Y(G) 2200

. y ( 7).

6730 Y(8) J131r 0

.Y(9) J1l G 0 Y(lO) ]_9 8 0 y (11)

5 00 0 y (12) 1_01100 '{(13) 3830 y ( 1 l:) 1_760 YC15) 20300 Y(lG) 21C)0 '( ( 1 7 ) Jl9 0 y (18) 2_230 y (19) 5300 '((20) 3300 'YC2l) ·3 9G 0 Y(22) 2_8GO

Page 163: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

[ .t

I.

I

I , I

i I

\

I

r i I

( .. I

I ..

'1

1~

l 0 GO 0 y ( 21!) 35 2 0. YC 25) }8 2 0 Y ( 2 G) 1_5200 '{(27,) SGly y ( 2,8) 9 8 lt'O YC~9) 3 f)l}Q

Y C13 o) _3170 !lny cliun&cs D_O

ii1 discl_ia1·r,c • ' ,_ ? ltlf;_lJL. En' t P. 1· ye s o t· no.

M== 3.GBO S== 0.337 <T == b

Ent(~r I~, .val uc co1·1·esponr!i !It to rccun·c:rncc; inu~rval and vc:·iluc of r;. ayk

- 0. :; 7 5

An;1 chanp;es in v21luP. of K? Entc1· yes or no. D_O E n t c r r c c lff r a n c c i 11 t c r v a l i n y c a r s • RI 50 Any.~han:~cs in value of recu1·rancc intct·vcil? Enter yes or no. lJ.O

Boone River 8 I:. I: s CJ • rn i . Gar;e l·J"o •. 5-1~ 810

Q== 13395 cfs

Recu1·ra11co. lntcrvc:il == ·so YCcHS

Do you \·,iant Q for ci di ffcn~nt rccu1·1·oncc interval? E n -t e r ye s o 1· n o • :t_es i

Entr.r I\ value corresponrlinr; to rccurr<rncc; interv0l anrl value of r;. ayk l_.899. Any ch<rn;;es in Villue of I\? Enter yes or no. D_O

Enter n:curr<:ir1cc: intcr·vC'Jl in years. RI l_O 0 Any chtrnges in ViJl uc of rc~cur1·<111cc: intr-:rv<'ll? Enter yes or no. D_O

Coone River·

0:= 2 O'.J 09 cf s

Page 164: I A.· E. 526 - Iowapublications.iowa.gov/22545/1/IADOT_Evolution..." :j .l -; 1 ILLUSTRATIONS iigu~e 1.Culvert size ~etermination for the Talbot Formula . 2. Peak rates or runoff

I. I

J. D 0 ye cir s

Do you \-.:CJnt ()_for- a diffcnint rr:currcrncc: intcrv0l?' Enter yes or no. no _ Do you 11011.t to r1ctcn:1inc~ Q for- anotf".cr \·futcrsh~cl? Enter yes or no. no

HW OF dOfi.

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