Uji Dengan Sap2000 Revisi 2

8/19/2019 Uji Dengan Sap2000 Revisi 2

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PENYELESAIAN UAS "MEKANIKA REKAYASA V" (reguler)Semester Gasal 2005/200 ! gl# 2$ %a&uar' 200

E 2.10E+06 2.10E+07b = 20 cm 0.2

h = 40 cm 0.4800 0.08 0.08 -

106666.67 0.0010667 0.0010666667 -b = 30 cm 0.3h = 30 cm 0.3

900 0.09 0.09 -

67500 0.000675 0.000675 -

S EP $ 's*ret'+e a&, Gl-.al egrees - ree,-m ( 1 )

Defined Dafter boun

PENYELESAIAN

kg/cm 2 t/m 2

A#1 cm 2 m 2

I#1 cm 4 m 4

A#2 cm 2 m 2

I#2 cm 4 m 4

X

Y

glob l !"

$=5 t/m%

3to&

2to& 6m

8m

#1

#23m

#1

#2

1

2

3' 3X

' 3Y

( 3)

( 2)*

Z

Y

X

Z

R

D

D

R

3

3

3

2


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Pr- ert'es e&am a&gh & / m t " l

E = 2.10E+07t/m2

t &g 1

8.00E-02 m2E = 2.10E+07t/m2

1.07E-03 m4

8 m

0 , g

Eleme& ,alam matr'3s 3e3a3ua& .ata&g

EA / 4.EI / 2.EI / 6.EI / 2 12.EI / 32.10E+05 1.12E+04 5.60E+03 2.10E+03 5.25E+02

Re3a Eleme& ,alam Matr'3s Ke3a3ua& 4ata&gt &g EA / L 4.EI / L 2.EI / L 6.EI / L^2 12.EI / L^3 Sudut (deg)1 2.10E+05 1.12E+04 5.60E+03 2.10E+03 5.25E+02 02 3.15E+05 9.45E+03 4.73E+03 2.36E+03 7.88E+02 90

ata .e.a&

1 = 3 o&

2 = 2 o&$ = 5 o&/m = 0 o&.m

Ga a ,a& M-me& U6u&g a,a Eleme&t 7$ = 0 b = 0

= 20 b = 20 = 26.66667 .m b = -26.666666667 .m

Ga a ,a& M-me& U6u&g a,a Eleme&t 72 = 0 b = 0 = 1 b = 1

= 1.5 .m b = -1.5 .m

Re3a Ga a U6u&g 4ata&g (Sum.u L-3al)

o. tg:*&g k" " ;"< :*&g k & & ;:<

Beban FX(i) Beban FY(i) Beban MZ(i) Beban FX( ) Beban FY( ) Beban MZ( )1 0 20 26.66667 0 20 -26.666672 0 1 1.5 0 1 -1.5

e&tu3a& arameter a&g ,'.utu83a&

. *mb* glob l t *kt* , t" l m &tb. '>? * " *mb* glob l t *kt*

A1 =

I1 =

1 =

th t 1 =


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c. @ * " & b lok l l m &t , &g & '>? h glob l,.

. '" l c m &t t"t"k *mb* glob l t *kt* , t" l m &t

Eleme&t ' 61 1 2 3 7 82 4 5 6 7 8

b. '>? * " *mb* glob l t *kt*

lob l !" 1 2 3 4 5'>? 1 2 3 4 5

c. @ * " & b lok l l m &t , &g & '>? h glob l

oc l A!" 1 2 3 4El m &t k 1 1 2 3 ,2El m &t k 2 5 4 ,1 ,3

,.

El m &t 1

( = 0 0 0

0 0 0

0 0 1 0 00 0 0

0 0 00 0 0 0 0

El m &t 2

( = 0 0 0

0 0 00 0 1 0 0

0 0 00 0 00 0 0 0 0

999: ALAM SUM4U L1KALt &g = 1

El m & , l m m t "k k k k* & b t &g EA / 4.EI / 2.EI / 6.EI / 2 12.EI / 3

2.10E+05 1.12E+04 5.60E+03 2.10E+03 5.25E+02

B! = co th t = 1BC = "& th t = 0

t "k & Do m " (F , & (F t" l m &t

t "k & Do m " (F , & (F t" l m &t

co α 1 "&α 1 - "&α 1 co α 1

co α 1 "&α 1 - "&α 1 co α 1

co α 1 "&α 1 - "&α 1 co α 1

co α 1 "&α 1 - "&α 1 co α 1

;'tu&g matr'3s 3e3a3ua& .ata&g $


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oc l !" 1 2 3 4 51 210000 0 0 -210000 02 0 525 2100 0 -525

3 0 2100 11200 0 -2100

4 -210000 0 0 210000 05 0 -525 -2100 0 5256 0 2100 5600 0 -2100

999: ALAM SUM4U L1KALt &g = 2

El m & , l m m t "k k k k* & b t &g EA / 4.EI / 2.EI / 6.EI / 2 12.EI / 3

3.15E+05 9.45E+03 4.73E+03 2.36E+03 7.88E+02

B! = co th t = 0BC = "& th t = 1

oc l !" 1 2 3 4 51 315000 0 0 -315000 02 0 787.5 2362.5 0 -787.5

3 0 2362.5 9450 0 -2362.54 -315000 0 0 315000 05 0 -787.5 -2362.5 0 787.56 0 2362.5 4725 0 -2362.5

*tk & * " *mb* glob l/ t *kt* , &g & '>? C &g ,", h*l*k &

'>? 1 2 3 4 5lob l !" 1 2 3 4 5

,1 ,2 ,3 ,4 16 7 8 9 1

6 9450 2362.5 0 4725 07 2362.5 210787.5 0 2362.5 -2100008 0 0 315525 -2100 09 4725 2362.5 -2100 20650 0

1 0 -210000 0 0 2100002 0 0 -525 2100 03 0 0 -2100 5600 04 -2362.5 -787.5 0 -2362.5 05 0 0 -315000 0 0

;'tu&g Matr'3s 4e.a& %-'&t/ N-,alN-,al -r*esa# ! A3'.at .e.a& ,' se a&6a&g .e&ta&g (3e,ua u6u&g ,'3e3a&g)

1F =

;'tu&g matr'3s 3e3a3ua& .ata&g 2


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Eleme&t $oc l !"

0 120 2

= 26.66667 30 4

20 5-26.66667 6

Eleme&t 2oc l !"

0 11 2

= 1.5 30 4

1 5-1.5 6

Susu& matr'3s .e.a& e3'>ale&

Go"&t b lob l El m &t 1 El m &t 21 1 0 01 2 20 01 3 26.66667 02 4 0 -1

-A = 2 5 0 + 02 6 0 1.53 7 0 -13 8 20 03 9 -26.66667 -1.5

.# ! A3'.at 4e.a& ,' 6-'&t (3e,ua u6u&g ,'3e3a&g)

Go"&t b lob l '>?1 1 0 1

1 2 0 21 3 0 32 4 0 4

A: = 2 5 0 52 6 0 ,13 7 -3 ,23 8 0 ,33 9 0 ,4

*# ! 4e.a& 3-m.'&as' atau ga.u&ga& (Ae ? A6)

Go"&t b lob l '>?1 1 1 01 2 2 -20

A F1

A F2


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1 3 3 -26.6666666672 4 4 1

Ac = 2 5 5 0 +2 6 ,1 -1.53 7 ,2 13 8 ,3 -20

3 9 ,4 28.1666666667

'" l c m &t / ' Do m " t *kt*

,1 = -0.000943

,2 = -0.000017,3 = -0.000053,4 = 0.001576

( ct"o&

AYA- AYA 'A A G E E E

4ata&g $

' Do m " t *kt* , l m h > A ," b t &g 1H bb &t*k & &o. b glob l , h*l*

1 1 02 2 0

3 3 07 ,2 -2E-0058 ,3 -5E-0059 ,4 0.001576

C *:*&g b t &g

0 210000 0 020 0 525 2100

26.66667 + 0 2100 112000 -210000 0 0

20 0 -525 -2100-26.66667 0 2100 5600

4ata&g 2

' Do m " t *kt* , l m h > A ," b t &g 2H bb &t*k & &o. b glob l , h*l*

4 4 05 5 0

6 ,1 -0.000943

! F " S FF#1.AF$

' ? =

' F1 =

AM 1 " AML 1 % SM 1 .∆ M 1

A 1F =

' F2 =


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7 ,2 -2E-0058 ,3 -5E-0059 ,4 0.001576

C *:*&g b t &g

0 315000 0 01 0 787.5 2362.5

1.5 + 0 2362.5 94500 -315000 0 01 0 -787.5 -2362.5

-1.5 0 2362.5 4725

SELESAI

AM 2 " AML 2 % SM 2 .∆ M 2

A 2F =


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F ary conditions

versi lengkap

*t & ," "l"h /,"t t k &


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t &g 2

9.00E-02 m2E = 2.10E+07t/m2

6.75E-04 m4

6 m

90 , g

Eleme& ,alam matr'3s 3e3a3ua& .ata&g

EA / 4.EI / 2.EI / 6.EI / 2 12.EI / 33.15E+05 9.45E+03 4.73E+03 2.36E+03 7.88E+02

B! BC1 00 1

A2 =

I2 =

2 =

th t 2 =

' 3Y


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99

6 7 8 9,1 ,2 ,3 ,4

5 6,3 ,4 === '>? * " b glob l,2 ,4 === '>? * " b glob l

0 (F = 1 0 0 0 0 0

0 0 1 0 0 0 0

0 0 0 1 0 0 00 0 0 0 1 0 0

0 0 0 0 0 1 01 0 0 0 0 0 1

0 (F = 0 1 0 0 0 0

0 -1 0 0 0 0 00 0 0 1 0 0 0

0 0 0 0 0 1 00 0 0 0 -1 0 01 0 0 0 0 0 1

#1

#2

1

2

3' 3X

( 3)

( 2)


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1 2 3 ,26 lob l !" 1 2 3 7

0 1 210000 0 0 -2100002100 2 0 525 2100 0

5600 3 0 2100 11200 0

0 7 -210000 0 0 210000-2100 8 0 -525 -2100 011200 9 0 2100 5600 0

4 5 ,1 ,2

6 lob l !" 4 5 6 70 4 787.5 0 -2362.5 -787.5

2362.5 5 0 315000 0 0

4725 6 -2362.5 0 9450 2362.50 7 -787.5 0 2362.5 787.5

-2362.5 8 0 -315000 0 09450 9 -2362.5 0 4725 2362.5

,1 ,2 ,3 ,46 7 8 9

2 3 4 5 === '"t t *l &g m &* l2 3 4 5

0 0 -2362.5 0 6 ,10 0 -787.5 0 7 ,2-525 -2100 0 -315000 8 ,32100 5600 -2362.5 0 9 ,4

0 0 0 0 1 1525 2100 0 0 2 2

2100 11200 0 0 3 30 0 787.5 0 4 40 0 0 315000 5 5

1 F =

2 F =


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& Do m " b lok l k glob l ==J

1 0 0 0 0 00 1 0 0 0 0

= 0 0 1 0 0 0 !0 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

& Do m " b lok l k glob l ==J

0 -1 0 0 0 01 0 0 0 0 0

= 0 0 1 0 0 0 !0 0 0 0 -1 0

0 0 0 1 0 00 0 0 0 0 1

0 0 1 120 -20 2 2

26.66667 -26.66667 3 3-1 1 4 4

+ = 0 A = 0 5 51.5 -1.5 6 ,1-1 1 7 ,220 -20 8 ,3

-28.16667 28.16667 9 ,4

t *l &g Ac 0 0 ,1 -1.50 -20 ,2 -2

AMS 1 " &' . AML 1

A F1

AMS 2 " &' . AML 2

A F2

$=5 t/m%

3to&

2to& 6m

8m

#1

#23m


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0 -26.66667 ,3 -200 1 ,4 28.166670 = 0 Ac = 1 00 -1.5 2 -20-3 -2 3 -26.666670 -20 4 1

0 28.16667 5 0

B k >@-0.000943 0.00

-0.000017 0.00-0.000053 0.000.001576 0.00

' Do m " t *kt* , l m h >@A ," b t &g 1H bb

1 0 0 0 0 00 1 0 0 0 0

0 0 1 0 0 0 !0 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

-210000 0 0 0 0 3.4836480 -525 2100 0 20 3.337839

0 -2100 5600 ! 0 = 26.66667 + 8.937931210000 0 0 -2E-005 0 -3.483648

0 525 -2100 -5E-005 20 -3.3378390 -2100 11200 0.001576 -26.66667 17.76478

' Do m " t *kt* , l m h >@A ," b t &g 2H bb

0 1 0 0 0 0-1 0 0 0 0 0

0 0 1 0 0 0 !

∆ M 1 " & . !MS 1

∆ M 1 "

∆ M 2 " & . !MS 2

∆ M 2 "


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0 0 0 0 1 00 0 0 -1 0 00 0 0 0 0 1

-315000 0 0 0 0 16.662160 -787.5 2362.5 0 1 1.483648

0 -2362.5 4725 ! -0.000943 = 1.5 + -1.5315000 0 0 -5E-005 0 -16.66216

0 787.5 -2362.5 1.66E-005 1 -1.4836480 -2362.5 9450 0.001576 -1.5 10.40189


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1 0 0 0 0 0

0 1 0 0 0 0

0 0 1 0 0 00 0 0 1 0 0

0 0 0 0 1 00 0 0 0 0 1

0 -1 0 0 0 0

1 0 0 0 0 00 0 1 0 0 0

0 0 0 0 -1 00 0 0 1 0 00 0 0 0 0 1

(F =

(F =


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,3 ,48 9

0 0 ### - - ### - --525 2100 - 515.16 2H060.63 - ;515.16< 2H060.63

-2100 5600 - 2H060.63 ### - ### 5H495.00

0 0 ### - - ### - -525 -2100 - ;515.16< ### - 515.16 ###-2100 11200 - 2H060.63 5H495.00 - ### ###

,3 ,4

8 90 -2362.5

-315000 0

0 47250 2362.5

315000 00 9450

B k >@

210 52.5 0 105 9H240.00 2H310.00 -52.5 7892.5 0 52.5 2H310.00 ### -0 0 8759.844 -39.375 - - ###

105 52.5 -39.375 420 4H620.00 2H310.00 ###


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lob l !"0 1 0

20 2 20

26.666667 = 3 26.666670 7 0

20 8 20-26.666667 9 -26.66667

lob l !"0 4 -11 5 0

1.5 = 6 1.50 7 -1

1 8 0-1.5 9 -1.5

-1.5 --2 -


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-20 -28.16667 -

A4LE %-'&t 's la*eme&ts%-'&t ut ut@as @ase e U$ U2

!t !t !t m m

1 'EA' "& t t"c 0 02 'EA' "& t t"c 0 03 'EA' "& t t"c -0.000017 0

b lok l '>?0 0 1 1 - 00 0 2 2 - 0

0 = 0 3 3 - 0-1.66E-005 -2E-005 4 ,2 - -0.000468-5.29E-005 -5E-005 5 ,3 - -0.001930.0015762 0.001576 6 ,4 - 0.078511

b lok l '>? / b glob l B k 3.4836 1 1 3.683878 ;0.20<

23.3378 2 2 23.11039 0.23

= 35.6046 3 3 34.98637 0.62-3.4836 4 ,2 -3.683878 0.2016.6622 5 ,3 16.88961 ;0.23<-8.9019 6 ,4 -10.10327 1.20

b lok l '>?

0 0 1 5 - 00 0 2 4 - 0

-0.0009427 = -0.000943 3 ,1 - -0.046282


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-1.66E-005 -5E-005 4 ,3 - -0.00193-5.29E-005 1.66E-005 5 ,2 - 0.0004680.0015762 0.001576 6 ,4 - 0.078511

b lok l '>? / b glob l B k 16.6622 1 5 16.88961 ;0.23<2.4836 2 4 2.683878 ;0.20<

= 0 3 ,1 0 --16.6622 4 ,3 -16.88961 0.23-0.4836 5 ,2 -0.683878 0.208.9019 6 ,4 10.10327 ;1.20


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1 0 0 0 0 0 210000 00 1 0 0 0 0 0 525

0 0 1 0 0 0 0 2100

0 0 0 1 0 0 -210000 00 0 0 0 1 0 0 -5250 0 0 0 0 1 0 2100

210000 0 0 -210000 0 0 1 00 525 2100 0 -525 2100 0 10 2100 11200 0 -2100 5600 0 0

-210000 0 0 210000 0 0 0 00 -525 -2100 0 525 -2100 0 00 2100 5600 0 -2100 11200 0 0

0 -1 0 0 0 0 315000 0

1 0 0 0 0 0 0 787.50 0 1 0 0 0 0 2362.50 0 0 0 -1 0 -315000 00 0 0 1 0 0 0 -787.5

0 0 0 0 0 1 0 2362.5

0 -787.5 -2362.5 0 787.5 -2362.5 0 1315000 0 0 -315000 0 0 -1 0

0 2362.5 9450 0 -2362.5 4725 0 00 787.5 2362.5 0 -787.5 2362.5 0 0

-315000 0 0 315000 0 0 0 00 2362.5 4725 0 -2362.5 9450 0 0


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U R$ R2 Rm ( ," & ( ," & ( ," &

0 0 0 00 0 0.000943 0

-0.000053 0 -0.001576 0

- >@ - >@

- >@ 0.00 ", k >@...B k g".. 0.00 ", k >@...B k g".. ;0.08< ", k >@...B k g"..

',a3 1K###@e3 Lag'##',a3 1K###@e3 Lag'##

',a3 1K###@e3 Lag'##',a3 1K###@e3 Lag'##',a3 1K###@e3 Lag'##',a3 1K###@e3 Lag'##

- >@ - >@

0.05 ", k >@...B k g"..


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0.00 ", k >@...B k g".. ;0.00< ", k >@...B k g".. ;0.08< ", k >@...B k g"..

',a3 1K###@e3 Lag'##',a3 1K###@e3 Lag'##

1K',a3 1K###@e3 Lag'##',a3 1K###@e3 Lag'##',a3 1K###@e3 Lag'##


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0 -210000 0 0 1 0 0 02100 0 -525 2100 0 1 0 0

11200 0 -2100 5600 0 0 1 0

0 210000 0 0 0 0 0 1-2100 0 525 -2100 0 0 0 05600 0 -2100 11200 0 0 0 0

0 0 0 0 210000 0 0 -2100000 0 0 0 0 525 2100 01 0 0 0 = 0 2100 11200 00 1 0 0 -210000 0 0 2100000 0 1 0 0 -525 -2100 00 0 0 1 0 2100 5600 0

0 -315000 0 0 0 1 0 0

2362.5 0 -787.5 2362.5 -1 0 0 09450 0 -2362.5 4725 0 0 1 0

0 315000 0 0 0 0 0 0-2362.5 0 787.5 -2362.5 0 0 0 -1

4725 0 -2362.5 9450 0 0 0 0

0 0 0 0 787.5 0 -2362.5 -787.50 0 0 0 0 315000 0 01 0 0 0 = -2362.5 0 9450 2362.50 0 1 0 -787.5 0 2362.5 787.50 -1 0 0 0 -315000 0 00 0 0 1 -2362.5 0 4725 2362.5


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0 00 0

0 0

0 01 00 1

0 0 - - - - - --525 2100 - - - - - -

-2100 5600 - - - - - -0 0 - - - - - -

525 -2100 - - - - - --2100 11200 - - - - - -

0 0

0 00 01 00 0

0 1

0 -2362.5 - - - - - --315000 0 - - - - - -

0 4725 - - - - - -0 2362.5 - - - - - -

315000 0 - - - - - -0 9450 - - - - - -


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Uji Dengan Sap2000 Revisi 2

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