5 -7 10A = -2 5 8 B =

6 -1 -3

5 -7 10 1 0 0= -2 5 8 0 1 0 ditambah 2/5 x Pers. 1 =

6 -1 -3 0 0 1 dikurangi 6/5 x Pers. 1

5 -7 10 1 0 0= 0 2.2 12 0.4 1 0 =

0 7.4 -15 -1.2 0 1 dikurangi 37/11 x Pers. 2

5 -7 10 1 0 0 ditambah 110/609 x Pers. 3= 0 2.2 12 0.4 1 0 ditambah 132/609 x Pers. 3 =

0 0 -55.36364 -2.545455 -3.363636 1

5 -7 0 0.54023 -0.607553 0.180624 ditambah 35/11 x Pers. 2= 0 2.2 0 -0.151724 0.270936 0.2167488 =

0 0 -55.36364 -2.545455 -3.363636 1

5 0 0 0.057471 0.254516 0.8702791 x (1/5)= 0 2.2 0 -0.151724 0.270936 0.2167488 x (5/11) =

0 0 -55.36364 -2.545455 -3.363636 1 x(-11/609)

1 0 0 0.011494 0.050903 0.1740558= 0 1 0 -0.068966 0.123153 0.0985222 =

0 0 1 0.045977 0.060755 -0.0180624

I A-1

1 -3 5-11 10 35 4 7

1 -3 5 1 0 0-11 10 3 0 1 0 ditambah 11x Pers. 15 4 7 0 0 1 dikurangi 5x Pers. 1

1 -3 5 1 0 00 -23 58 11 1 00 19 -18 -5 0 1 ditambah 19/23 x Pers. 2

1 -3 5 1 0 0 dikurangi 115/688 x Pers. 30 -23 58 11 1 0 dikurangi 1334/688 x Pers. 30 0 29.91304 4.086957 0.826087 1

1 -3 0 0.31686 -0.138081 -0.167151 dikurangi 3/23 x Pers. 20 -23 0 3.075581 -0.601744 -1.9389530 0 29.91304 4.086957 0.826087 1

1 0 0 -0.084302 -0.059593 0.0857560 -23 0 3.075581 -0.601744 -1.938953 x(-1/23)0 0 29.91304 4.086957 0.826087 1 x(-23/688)

1 0 0 -0.084302 -0.059593 0.0857560 1 0 -0.133721 0.026163 0.0843020 0 -1 -0.136628 -0.027616 -0.03343

I B-1

Mohamad Fikri Aulia3113100041

Element 1 Element 2L = 500 mm L = 500 mmd = 16 mm d = 32 mm

E = 200000 Mpa P2 = 4100000 Mpapi = 3.1428571428571

Jawab :Untuk Element 1

A1 = 201.14285714286 mm2P1 = (E . A1)/L 1 -1 U1P2 -1 1 U2

P1 = 80457.142857 1 -1 04100000 -1 1 U2

P1 = 80457.142857 -80457.142857 0 Persamaan Matrix 14100000 -80457.14286 80457.142857 U2

Untuk Element 2A2 = 804.57142857143 mm2

P2 = (E . A1)/L 1 -1 U2P3 -1 1 U3

4100000 = 321828.57143 1 -1 U2P3 -1 1 0

4100000 = 321828.57143 -321828.57143 U2 Persamaan Matrix 2P3 -321828.5714 321828.57143 0

Dari persamaan Matrix 1 dan Matrix 2

P1 80457.142857 -80457.142857 0 U1P2 = -80457.14286 402285.71429 -321828.5714 U2P3 0 -321828.57143 321828.57143 U3

P1 80457.142857 -80457.142857 0 04100000 = -80457.14286 402285.71429 -321828.5714 U2

P3 0 -321828.57143 321828.57143 0

U2 = 10.191761364 mmHasil U2 masukkan ke matrik

P1 80457.142857 -80457.142857 0 04100000 = -80457.14286 402285.71429 -321828.5714 10.1917613636364

P3 0 -321828.57143 321828.57143 0

P1 = -820000 Mpa (arah ke kiri)

P3 = -3280000 Mpa (arah ke kiri)