Report U Ditch RMI

7/25/2019 Report U Ditch RMI

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CALCULATION REPORT of

RMI U-Ditch

DECEMBER 2015

Table of Figures

Figure 3-1Plan of U-Ditch.........................................................................................................2

Figure 3-2Cross Section of U-Ditch..........................................................................................3

Figure 4-1Lateral loading on U-Ditch.......................................................................................5

Figure 5-1Model of U-Ditch......................................................................................................


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Figure 5-2!arth Lateral Pressure "2#.$$ %&'(2).......................................................................$

Figure 5-3*+drostaticPressure "4$., %&'(2)..........................................................................$

Figure 5-4 !ffectie !arth Lateral Pressure "13., %&'(2)......................................................#

Figure -1Mo(ent Contour M11"%&.()...................................................................................

Figure -2M11(a/ on sla0 %&.(...............................................................................................

Figure -3Mo(ent Contour M22"%&.().................................................................................1,

Figure -4M22(a/ on all "%&.().........................................................................................1,

Figure -5einforce(ent on U-ditch.......................................................................................21

2


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List of Tables

a0le 3-1 Concrete Co(ressie Strength................................................................................4

a0le 4-1Unit eight of Material..............................................................................................4a0le 4-2Load Co(0ination......................................................................................................

3


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Table of Contents

Table of Figures.....................................................................................................................ii

List of Tables........................................................................................................................iii

1 INTRODUCTION................................................................................................................11.1 Intent of Document............................................................................................................................1

1.2 Software............................................................................................................................................ 1

2 CODES AND STANDARD.................................................................................................12.1 Design Code.....................................................................................................................................1

2.2 Materials Code and Standards..........................................................................................................1

3 DATA ..............................................................................................................................13.1 Plan and Section...............................................................................................................................1

3.2 Material Properties............................................................................................................................4

3.2.1 Concrete.......................................................................................................................................4

3.2.1 Reinforcement Steel Bar...............................................................................................................4

LOAD CASE AND LOAD CO!"INATION........................................................................4.1 Dead oad !D"................................................................................................................................4

4.2 ateral #art$ Pressure......................................................................................................................%

4.3 #art$&ua'e oad...............................................................................................................................(

4.4 oad Com)ination.............................................................................................................................(

# !ODELIN$.........................................................................................................................%

% ANAL&SIS STRUCTURAL RESULT.................................................................................'(.1 Moment on Bo* Cul+ert.....................................................................................................................,

(.2 Reinforcement Calculation..............................................................................................................11

4


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1

1 INTRODUCTION

1.1 Intent of Do(u)ent

his calculation reort resents the calculation of M U-ditch.1.2 Soft*are

S6P 2,,, .1$.1.1. for the structure design and (odel.

2 CODES AND STANDARD

In principle- t$e following codes and standards s$all )e applied.

2.1 Design Co+e

6C "6(erican Concrete nstitute)

S& " Standar &asional ndonesia)

66S*7 "6(erican 6ssociation of State *igh8a+ and ransortation 7fficials)

2.2 !aterials Co+e an+ Stan+ar+s

6SM "6(erican Societ+ for esting and Material)

3 DATA

3.1 ,lan an+ Se(tion

Dra8ing of lan and section of latfor( structure could 0e seen in figure 0elo8.


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Figure 3-1Plan of U-Ditch

2


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Figure 3-2Cross Section of U-Ditch

3


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4

3.2 !aterial ,ro-erties

3.2.1 Concrete

Table 3-1 Concrete Compressive Strength

Co)-ressie

Strengt/

At 20 +as

Clin+er s-e(i)en

A--li(ation

fc / 2%3.0 'gcm2 or concrete on cul+ert

1 Reinforcement Steel !r

Steel 9ar reinforce(ent 8ere categori:ed as defor(ed and lain steel 0ar as 0elo8

Defor(ed 0ar shall confor( to S& ,$-2,52-2,,2; 9 3112 or6SM 615. Mini(u( +ield strength is 4,,, %g'c(2.

Plain 0ar shall confor( to S& ,$-2,52-2,,2; 9


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5

.2 Lateral Eart/ ,ressure

For conseratie design the 8ater leel is assu(ed at the sa(e height of U-ditch.

Figure 4-3"ateral loa#ing on U-Ditch


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.3 Eart/4ua5e Loa+

9ased on S&2 2#33-2,1@A Perencanaan Betahanan >e(a Untu% =e(0atan "age

1) Pengaruh ge(a terhada gorong-gorong ersegi dan 0angunan 0a8ah tanah tida% erlu

dierhitung%an %ecuali %egagalan gorong-gorong ersegi dan 0angunan 0a8ah tanah daat(e(engaruhi fungsi


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$

Figure $-$%arth "ateral Pressure &2'()) *+,m2

Figure $-./0#rostaticPressure &4)( *+,m2


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#

Figure $-) %ffective %arth "ateral Pressure &13( *+,m2


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% ANAL&SIS STRUCTURAL RESULT

%.1 !o)ent on "o6 Culert

a. Mo(ent Contour M11"long reinforce(ent a/es-/)

Figure .-'!oment Contour !11&*+(m

Figure .-!11ma on slab *+(m

0. Mo(ent Contour M22 "(ain fle/ural reinforce(ent a/es-+)

M11m!" #

2$%

&N.m


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1,

Figure .-1!oment Contour !22&*+(m

Figure .-11!22ma on all &*+(m

M22m!"

#

2$%


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11

%.2 Reinfor(e)ent Cal(ulation

a. einforce(ent at 0otto( sla0 "/-a/is'cross section direction)

j 13:= num)er tension re)ar

Cal(ulation

ind re)ar area

A's i1

4 Dia

2:= A's 3.#5 cm

2=

As j

1

4 Dia2

:= As 3.#5 cm2

=

C$ec' )oundar5 for min ma* re)ar

6ctual Re)ar 'A's

b d:= ' ,.,1,53=

As

b d:= ,.,1,53=

Min Re)ar min ,.,,2:= Minimum reinforcement sla)

Ma* Re)ar 1 ,.#5 f'c 3,MPaif

,.#5 ,.,,#f'c

MPa3,

3,MPa f'c< 55MPaif

:=

1 ,.#5=

max ,.$5,.#51 f'c

fy

,,

,,

fy

MPa+

'f's

fy+:=

max ,.,3,$$=

Data 7

Concrete and reinforcement re)ar c$aracteristic

f'c 24. MPa:= M 2$5kN m:= M11" )

fy 4,,MPa:=

h 4,,mm:= $eig$t cov 5,mm:= sla) co+er

b 1,,,mm:= widt$ ,.#:= moment factor

d h cov:= d 35,mm=

d' cov:= d' 5,mm=

Dia 1mm:= re)ar diameter

i 13:= num)er compress re)ar


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12

7se D1,8%

Rasio ,.$$1=Rasio M

Mu:=

msg G7BG=M 2$5k N m=9Mu 35$ kN m=

C$ec' Moment

Mu 35$k N m=Mu Mn:=

Mn 44 kN m=

Mn A's 1,.#5 f'c

fy

fy d d'" ) As A's 1

,.#5 f'c

fy

fy d

a

2

+:=

ind :ominal Moment

a ,.3 cm=a

As A's 1 ,.#5f'c

fy

fy

,.#5 f'c b:=

ind concrete )loc' $eig$t for compress ion

msg G=msg Gul (inG min


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13

0. einforce(ent on 0otto( sla0 "longitudinal direction)


Cal(ulation

3ind re)ar area

A's i1

4 Dia

2:= A's .3$cm

2=

As j1

4 Dia

2:= As .3$cm

2=

C$ec' 4 )ondar5 for min 2ma* re)ar 4

6ctual Re)ar 4 'A's

b d:= ' ,.,,1-=

As

b d:= ,.,,1-=

Min Re)ar 4 min ,.,,2:= Minimum reinforcement sla)

Ma* Re)ar 4 1 ,.#5 f'c 3,MPaif

,.#5 ,.,,#

f'c

MPa3,

3,MPa f'c< 55MPaif

:=

1 ,.#5=

max ,.$5,.#51 f'c

fy

,,

,,

fy

MPa+

'f's

fy+:= max ,.,2214=

Data 7


f'c24.-

MPa:=

M44

kN m:=

M22( )fy 4,,MPa:=



d h cov:= d 35,mm=

d' cov:= d' 5,mm=




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14

7se D132;;

Rasio ,.#5=Rasio M

Mu:=

msg G7BG=M 44kN m=9Mu 4kN m=

C$ec' Moment

Mu 4k N m=Mu Mn:=

Mn #,kN m=

Mn A's 1,.#5 f'c

fy

fy d d'" ) As A's 1

,.#5 f'c

fy

fy d

a

2

+:=

ind :ominal Moment

a ,., cm=a

As A's 1 ,.#5f'c

fy

fy

,.#5 f'c b:=

ind concrete )loc' $eig$t for compression

msg Gul (inG=msg Gul (inG min


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c. einforce(ent on all ":-a/esA 0otto( area)


Cal(ulation

ind re)ar area

A's i1

4 Dia

2:= A's 3.#5cm2=

As j1

4 Dia2:= As 3.#5cm

2=


6ctual Re)ar 'A's

b d:= ' ,.,1,53=

As

b d:= ,.,1,53=



,.#5 ,.,,#f'c

MPa3,

3,MPa f'c< 55MPaif

:=

1 ,.#5=

max ,.$5,.#51 f'c

fy

,,

,,fy

MPa+

'f's

fy+:=

max ,.,3,$$=

Data 7


f'c 24.MPa:= M 2$5kN m:= M11" )

fy 4,,MPa:=


b 1,,, mm:= widt$ ,.#:= moment factor

d h cov:= d 35, mm=

d' cov:= d' 5,mm=




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1

7se D1,8%

Rasio ,.$$1=Rasio M

Mu:=

msg G7BG=M 2$5 kN m=9Mu 35$k N m=

C$ec' Moment

Mu 35$ kN m=Mu Mn:=

Mn 44k N m=

Mn A's 1,.#5 f'c

fy

fy d d'" ) As A's 1

,.#5 f'c

fy

fy d

a

2

+:=

ind :ominal Moment

a ,.3 cm=a

As A's 1 ,.#5f'c

fy

fy

,.#5 f'c b:=

ind concrete )loc' $eig$t for compress ion

msg G=msg Gul (inG min


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1$

d. einforce(ent on all ":-a/esA to area)

j $:= num)er tension re)ar

Cal(ulation

ind re)ar area

A's i1

4 Dia

2:= A's 1.#4$ cm

2=

As j1

4 Dia2:= As 1.#4$ cm

2=


6ctual Re)ar 'A's

b d:= ' ,.,,5$=

As

b d:= ,.,,5$=



,.#5 ,.,,#f'c

MPa3,

3,MPa f'c< 55MPaif

:=

1 ,.#5=

max ,.$5,.#51 f'c

fy

,,

,,fy

MPa+

'f's

fy+:=

max ,.,251=

Data 7


f'c 24.MPa:= M #,kN m:= M11" )

fy 4,,MPa:=



d h cov:= d 35,mm=

d' cov:= d' 5,mm=


i $:= num)er compress re)ar


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1#

7se D1,1%;

Rasio ,.41=Rasio M

Mu:=

msg G7BG=M #,k N m=9Mu 12k N m=

C$ec' Moment

Mu 12k N m=Mu Mn:=

Mn 24,k N m=

Mn A's 1,.#5 f'c

fy

fy d d'" ) As A's 1

,.#5 f'c

fy

fy d

a

2

+:=

ind :ominal Moment

a ,.1# cm=a

As A's 1 ,.#5f'c

fy

fy

,.#5 f'c b:=


msg G7BG=msg Gul (inG min


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1

e. einforce(ent on 8all "longitudinal direction)


Cal(ulation

3ind re)ar area

A's i1

4 Dia

2:= A's .3$cm

2=

As j1

4 Dia

2:= As .3$cm

2=

C$ec' 4 )ondar5 for min 2ma* re)ar 4

6ctual Re)ar 4 'A's

b d:= ' ,.,,-4#=

As

b d:= ,.,,-4#=

Min Re)ar 4 min ,.,,2:= Minimum reinforcement sla)

Ma* Re)ar 4 1 ,.#5 f'c 3,MPaif

,.#5 ,.,,#

f'c

MPa3,

3,MPa f'c< 55MPaif

:=

1 ,.#5=

max ,.$5,.#51 f'c

fy

,,

,,

fy

MPa+

'f's

fy+:= max ,.,2-$2=

Data 7


f'c 24.-MPa:= M 35k N m:= M22( )

fy 4,,MPa:=


b 2,,mm:= widt$ ,.#:= moment factor

d h cov:= d 35,mm=

d' cov:= d' 5,mm=




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2,

7se D132;;

Rasio ,.545=Rasio M

Mu:=

msg G7BG=M 35k N m=9Mu 4k N m=

C$ec' Moment

Mu 4k N m=Mu Mn:=

Mn #,k N m=

Mn A's 1,.#5 f'c

fy

fy d d'" ) As A's 1

,.#5 f'c

fy

fy d

a

2

+:=

ind :ominal Moment

a ,.332 cm=a

As A's 1 ,.#5f'c

fy

fy

,.#5 f'c b:=


msg G7BG=msg Gul (inG min


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21

Figure .-12einforcement on U-#itch

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