Ex 1. Azimuths & Bearings - College of Engineeringxe/Forms For Website/FE Review...F 120 31 3430...

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FE Review-Surveying 1 Ex 1. Azimuths & Bearings Determine the Azimuth and Bearing for each of the following: (a) N (b) w N 70° W 55° (C) 45 N (d) N W W s 80° S

Transcript of Ex 1. Azimuths & Bearings - College of Engineeringxe/Forms For Website/FE Review...F 120 31 3430...

FE Review­Surveying

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Ex 1. Azimuths & Bearings • Determine the Azimuth and Bearing for each of the following:

(a) N

(b)

w

N 70°

W 55°

(C)

45

N (d) N

W W

s 80° S

FE Review­Surveying

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Ex. 2 Area Calculation Boundary and traverse lines bounding an irregular area are shown below. Estimate the total area using all 3 methods.

j

•34' 21' 23' 29' 31'

V > , Traverse Line ^ t \ > • V

3D' 30' 30' 30' 30'

So

21 23 2S 31'

v Traverse Line ^

30 30

FE Review­Surveying

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Ex. 2 Area Calculation Boundary and traverse lines bounding an irregular area are shown below. Estimate the total area using all 3 methods.

So. Wis*

21 23 29' 31'

' laveise Lih6

30' 3u

: 237

Area by Coordinates X v Plus Minus

A B C D E F G H I J K L A

Sum Area

Area by Coordinates X v Plus Min us

A 0 0 - -

B 0 34 0 0 C 30 21 1020 0 D 60 23 1260 690 E 90 29 2070 1740 F 120 31 3430 2790 G 150 23 4650 2760 H 150 0 3450 0 I 120 0 0 0 J 90 0 0 0 K 60 0 0 0 L 30 0 0 0 A 0 0 0 0

Sum 15930 7930 Area 3975

Station BS= HI FS- Elevation

Adjusted

Elevation

BM1 5.51 100.000 100.000

TP1 6.53 3.250

BM2 4.32 10.500

TP2 3.277 6.670

BM1 7.890

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Determine differential elevation between 2 points by taking backsights and

foresights on rod

> HI - BM + BS

> Elev = HI - FS

> Closure -

> IBS - IFS

> BMu![-BMknown

• Distribute errors

Elm W 21

SM Bock

Eev 820.00

Oktuio Mv 0,00

Station Distance

(ft)

Bearing

(ϴ)

Departure

Lsin(ϴ)

Latitude

Lcos(ϴ)

Easting

(X)

Northing

(Y)

B 8,755.32 11,250.61

487.52 N18°22'E

C

789.16 S87°10'E

D

825.97 S78°37'E

K

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Objective is to measure the boundaries of a (typically closed) area

• Measure boundary angles and lengths in the field

• Calculate departures AX & latitudes AY

» Calculate coordinates

• Compare calculated and known coordinates

P. 170

LATITUDES AND DEPARTURES

* Lititufr

-Qfntei * Oeparfrre

- Latitude

m

A (T&sgjf traverse is run from Point B to Point K. The known coordinates of

Point K are I l,5N.I5N and IO.507.23E. Find the linear closure error.

Station

(ft)

Cut Area

(ft2)

Fill Area

(ft2)

Cut Volume

(ft3)

Fill Volume

(ft3)

20+00 - 173.21

20+10.50 - 43.56

20+21.50 14.32 9.63

20+28.45 64.73 -

20+40 187.42 -

Average End Volume

𝑉 = 𝐿𝐴1 + 𝐴2

2

Pyrimid/Cone Volume

𝑉 = ℎ𝐵𝑎𝑠𝑒 𝐴𝑟𝑒𝑎

3

FE Review­Surveying

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