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P1

h

q P2 4m

b =

3mI 0.002604167 m4E 20000000 KNm2A 0.125 m2

BATANG 1 L= 4 m[T]T

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

0 -9765.625 -19531.25 0 9765.625 -19531.25625000 0 0 -625000 0 0

0 19531.25 52083.33333 0 -19531.25 26041.666670 9765.625 19531.25 0 -9765.625 19531.25

-625000 0 0 625000 0 00 19531.25 26041.66667 0 -19531.25 52083.33333

BATANG 2 L= 3 m[K2]

833333.3333 0 0 -833333.3333 0 0

0 23148.14815 34722.22222 0 -23148.14815 34722.222220 34722.22222 69444.44444 0 -34722.22222 34722.22222

-833333.3333 0 0 833333.3333 0 00 -23148.14815 -34722.22222 0 23148.14815 -34722.222220 34722.22222 34722.22222 0 -34722.22222 69444.44444

BATANG 3 L= 4 m[T]T

0 1 0 0 0 0

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

0 9765.625 19531.25 0 -9765.625 19531.25-625000 0 0 625000 0 0

0 19531.25 52083.33333 0 -19531.25 26041.666670 -9765.625 -19531.25 0 9765.625 -19531.25

625000 0 0 -625000 0 00 19531.25 26041.66667 0 -19531.25 52083.33333

[Ks]9765.625 0 -19531.25 -9765.625 0 -19531.25

0 625000 0 0 -625000 0-19531.25 0 52083.33333 19531.25 0 26041.66667-9765.625 0 19531.25 9765.625 0 19531.25

0 -625000 0 0 625000 0-19531.25 0 26041.66667 19531.25 0 52083.33333

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

1 2 3 4 5 6[Ks]

1 9765.625 0 -19531.25 -9765.625 0 -19531.252 0 625000 0 0 -625000 03 -19531.25 0 52083.33333 19531.25 0 26041.666674 -9765.625 0 19531.25 843098.9583 0 19531.255 0 -625000 0 0 648148.1481 34722.222226 -19531.25 0 26041.66667 19531.25 34722.22222 121527.7778

7 0 0 0 -833333.3333 0 08 0 0 0 0 -23148.14815 -34722.222229 0 0 0 0 34722.22222 34722.22222

10 0 0 0 0 0 011 0 0 0 0 0 012 0 0 0 0 0 0

[Ks]^-16.96803E-05 9.40408E-07 -9.1579E-06 6.90822E-05 -9.40408E-07 -9.02333E-06

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9.40408E-07 1.59347E-06 -4.70204E-07 9.40408E-07 6.53061E-09 -4.70204E-07-9.1579E-06 -4.70204E-07 1.03204E-05 -9.02333E-06 4.70204E-07 -1.22983E-066.90822E-05 9.40408E-07 -9.02333E-06 6.96803E-05 -9.40408E-07 -9.1579E-06

-9.40408E-07 6.53061E-09 4.70204E-07 -9.40408E-07 1.59347E-06 4.70204E-07-9.02333E-06 -4.70204E-07 -1.22983E-06 -9.1579E-06 4.70204E-07 1.03204E-05

[d]

2.14E-03 m1.31E-05 m-2.44E-04 rad2.14E-03 m

-2.91E-05 m-3.08E-04 rad

Displacement [d1] [d2]1 0 m 0 m 2.14E-03 m2 0 m 0 m 1.31E-05 m

3 0 rad 0 rad -2.44E-04 rad4 2.14E-03 m 2.14E-03 m 2.14E-03 m5 1.31E-05 m 1.31E-05 m -2.91E-05 m6 -2.44E-04 rad -2.44E-04 rad -3.08E-04 rad7 2.14E-03 m8 -2.91E-05 m9 -3.08E-04 rad

10 0 m11 0 m12 0 m

Gaya Dalam [P] = [Ks] x [d]+ [fo]BATANG 1[K1] (non transformasi)

625000 0 0 -625000 0 00 9765.625 19531.25 0 -9765.625 19531.250 19531.25 52083.33333 0 -19531.25 26041.66667

-625000 0 0 625000 0 00 -9765.625 -19531.25 0 9765.625 -19531.250 19531.25 26041.66667 0 -19531.25 52083.33333

Gaya Dalam [P1]

-1328.880517 KN0.101583152 KN0.049900319 KNm1348.880517 KN

-0.101583152 KN-6.310233712 KNm

BATANG 2[K2]

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833333.3333 0 0 -833333.3333 0 00 23148.14815 34722.22222 0 -23148.14815 34722.222220 34722.22222 69444.44444 0 -34722.22222 34722.22222

-833333.3333 0 0 833333.3333 0 00 -23148.14815 -34722.22222 0 23148.14815 -34722.222220 34722.22222 34722.22222 0 -34722.22222 69444.44444

Gaya Dalam [P2]13.85009244 KN-23.2122448 KN

-29.95308111 KNm6.149907562 KN

13.2122448 KN-32.18365329 KNm

BATANG 3[K3] (non transformasi)

625000 0 0 -625000 0 0

0 9765.625 19531.25 0 -9765.625 19531.250 19531.25 52083.33333 0 -19531.25 26041.66667

-625000 0 0 625000 0 00 -9765.625 -19531.25 0 9765.625 -19531.250 19531.25 26041.66667 0 -19531.25 52083.33333

Gaya Dalam [P3]1336.992948 KN

-1.309363702 KN-15.63525899 KNm-1334.992948 KN

11.3093637 KN-9.602195819 KNm

Gaya Dalam Total[P1]+[P2]+[P3][P1] [P2] [P3]

1 -1328.880517 0 02 0.101583152 0 03 0.049900319 0 04 1348.880517 13.85009244 05 -0.101583152 + -23.2122448 + 0 =

6 -6.310233712 -29.95308111 07 0 6.149907562 1336.9929488 0 13.2122448 -1.3093637029 0 -32.18365329 -15.63525899

10 0 0 -1334.99294811 0 0 11.309363712 0 0 -9.602195819

Gaya Perletakan [R]=[Ks] x [d] - [P][Ks]

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9765.625 0 -19531.25 -9765.625 0 -19531.250 625000 0 0 -625000 0

-19531.25 0 52083.33333 19531.25 0 26041.66667-9765.625 0 19531.25 843098.9583 0 19531.25

0 -625000 0 0 648148.1481 34722.22222-19531.25 0 26041.66667 19531.25 34722.22222 121527.7778

0 0 0 -833333.3333 0 00 0 0 0 -23148.14815 -34722.222220 0 0 0 34722.22222 34722.222220 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

[R]1312.73061 KN

-8.313827952 KN35.42998182 KNm

-1342.73061 KN13.31382795 KN39.17998182 KNm

-1332.142856 KN-11.9028811 KN45.06891228 KNm1320.142856 KN6.902881098 KN43.31891228 KNm

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= 0.5 m

0.25 m

[K] [T]625000 0 0 -625000 0 0 0

0 9765.625 19531.25 0 -9765.63 19531.25 -10 19531.25 52083.33 0 -19531.3 26041.67 0

-625000 0 0 625000 0 0 00 -9765.63 -19531.3 0 9765.625 -19531.3 00 19531.25 26041.67 0 -19531.3 52083.33 0

[K1]9765.625 0 -19531.3 -9765.63 0 -19531.3

0 625000 0 0 -625000 0-19531.3 0 52083.33 19531.25 0 26041.67-9765.63 0 19531.25 9765.625 0 19531.25

0 -625000 0 0 625000 0-19531.3 0 26041.67 19531.25 0 52083.33

[K] [T]625000 0 0 -625000 0 0 0

x x

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0 9765.625 19531.25 0 -9765.63 19531.25 1x 0 19531.25 52083.33 0 -19531.3 26041.67 x 0

-625000 0 0 625000 0 0 00 -9765.63 -19531.3 0 9765.625 -19531.3 00 19531.25 26041.67 0 -19531.3 52083.33 0

[K3]9765.625 0 19531.25 -9765.63 0 19531.250 625000 0 0 -625000 0

19531.25 0 52083.33 -19531.3 0 26041.67-9765.63 0 -19531.3 9765.625 0 -19531.3

0 -625000 0 0 625000 019531.25 0 26041.67 -19531.3 0 52083.33

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 + 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 0

7 8 9 10 11 12[f]

0 0 0 0 0 0 100 0 0 0 0 0 50 0 0 0 0 0 6.666667

-833333 0 0 0 0 0 200 -23148.1 34722.22 0 0 0 -100 -34722.2 34722.22 0 0 0 2.916667

843099 0 19531.25 -9765.63 0 19531.25 110 648148.1 -34722.2 0 -625000 0 0

19531.25 -34722.2 121527.8 -19531.3 0 26041.67 -2.75-9765.63 0 -19531.3 9765.625 0 -19531.3 1

0 -625000 0 0 625000 0 519531.25 0 26041.67 -19531.3 0 52083.33 -1

[fo]20

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-10x 2.916667

110

-2.75

[d3]2.14E-03 m

-2.91E-05 m

-3.08E-04 rad0 m0 m0 rad

[d1] [fo1]0 100 5

x 0 + 6.6666672.14E-03 101.31E-05 -5

-2.44E-04 6.666667

[d2] [fo2]

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2.14E-03 101.31E-05 -5

x -2.44E-04 + -3.752.14E-03 10

-2.91E-05 -5-3.08E-04 -3.75

[d3] [fo3]2.14E-03 1

-2.91E-05 5x -3.08E-04 + 1

0 10 50 -1

[P]-1328.88 KN0.101583 KN

0.0499 KNm1362.731 KN-23.3138 KN

-36.2633 KNm1343.143 KN11.90288 KN-47.8189 KNm-1334.99 KN11.30936 KN

-9.6022 KNm

[d]

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0 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

-833333 0 0 0 0 0 2.14E-030 -23148.1 34722.22 0 0 0 1.31E-050 -34722.2 34722.22 0 0 0 x -2.44E-04 -

843099 0 19531.25 -9765.63 0 19531.25 2.14E-030 648148.1 -34722.2 0 -625000 0 -2.91E-0519531.25 -34722.2 121527.8 -19531.3 0 26041.67 -3.08E-04-9765.63 0 -19531.3 9765.625 0 -19531.3 0

0 -625000 0 0 625000 0 019531.25 0 26041.67 -19531.3 0 52083.33 0

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

-1 0 0 0 0

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

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 00 833333.3 0 0 -833333 0 0 0 00 0 23148.15 34722.22 0 -23148.1 34722.22 0 00 0 34722.22 69444.44 0 -34722.2 34722.22 0 00 -833333 0 0 833333.3 0 0 0 00 0 -23148.1 -34722.2 0 23148.15 -34722.2 0 00 0 34722.22 34722.22 0 -34722.2 69444.44 0 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0

[fo1] [fo2] [fo3]10 U1

5 V26.666667 M3

10 10 U4-5 -5 V5

6.666667 -3.75 M6

10 1 U7-5 5 V8

-3.75 1 M91 U105 V11

-1 M12

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[P]

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-1328.880.101583

0.04991362.731-23.3138-36.2633

1343.14311.90288-47.8189-1334.9911.30936

-9.6022

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0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 + 0 0 0 0 0 0 9765.6250 0 0 0 0 0 0 00 0 0 0 0 0 0 19531.250 0 0 0 0 0 0 -9765.630 0 0 0 0 0 0 00 0 0 0 0 0 0 19531.25

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0 0 0 0 0

0 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 19531.25 -9765.63 0 19531.25

625000 0 0 -625000 00 52083.33 -19531.3 0 26041.670 -19531.3 9765.625 0 -19531.3

-625000 0 0 625000 00 26041.67 -19531.3 0 52083.33