Metode Cross

METODE DISTRIBUSI MOMEN Metode Cross

31

32

33

34

35

36

MENENTUKAN KEKAKUAN RELATIF K-AB = 2 K-BC = 3.33 K-CD = 1.33 MENENTUKAN FEM FEM AB = -72.00 FEM BA = 72.00 MOMEN UJUNG M-DE =

SIKLUS 1 SIKLUS 2 SIKLUS 3 SIKLUS 4 SIKLUS 5 SIKLUS 6 SIKLUS 7 SIKLUS 8 SIKLUS 9 SIKLUS 10 SIKLUS 11 SIKLUS 12 SIKLUS 13 SIKLUS 14 SIKLUS 15 SIKLUS 16

-312.00 312.00

FEM CD = FEM DC =

-64.00 32.00

-36.00

Joint frame Kekauan relatif Faktor Distribusi FEM MD MP MD MP MD MP MD MP MD MP MD MP MD MP MD MP MD MP MD MP MD MP MD MP MD MP MD MP MD MP MD JUMLAH

CHECK EM di titik B = 0 M-BA + M-BC = 0 0.00 --> OK!

FEM BC = FEM CB =

A AB 2.00 1.00 -72.00 72.00 45.00 -45.00 9.86 -9.86 9.38 -9.38 3.21 -3.21 2.29 -2.29 0.82 -0.82 0.57 -0.57 0.21 -0.21 0.14 -0.14 0.05 -0.05 0.04 -0.04 0.01 -0.01 0.01 -0.01 0.00 0.00 0.00 0.00 0.00

B BA 2.00 0.38 72.00 90.00 36.00 19.71 -22.50 18.75 -4.93 6.42 -4.69 4.59 -1.61 1.65 -1.15 1.14 -0.41 0.41 -0.29 0.29 -0.10 0.10 -0.07 0.07 -0.03 0.03 -0.02 0.02 -0.01 0.01 0.00 0.00 0.00 0.00 215.39

C BC 3.33 0.63 -312.00 150.00 -88.57 32.86 -27.50 31.25 -12.19 10.70 -7.54 7.65 -2.78 2.74 -1.90 1.91 -0.69 0.69 -0.48 0.48 -0.17 0.17 -0.12 0.12 -0.04 0.04 -0.03 0.03 -0.01 0.01 -0.01 0.01 0.00 0.00 -215.39

CB 3.33 0.71 312.00 -177.14 75.00 -55.00 16.43 -24.39 15.63 -15.09 5.35 -5.56 3.82 -3.81 1.37 -1.38 0.95 -0.95 0.34 -0.34 0.24 -0.24 0.09 -0.09 0.06 -0.06 0.02 -0.02 0.01 -0.01 0.01 -0.01 0.00 0.00 147.23

CD 1.33 0.29 -64.00 -70.86 2.00 -22.00 17.71 -9.76 5.50 -6.04 2.44 -2.23 1.51 -1.52 0.56 -0.55 0.38 -0.38 0.14 -0.14 0.10 -0.10 0.03 -0.03 0.02 -0.02 0.01 -0.01 0.01 -0.01 0.00 0.00 0.00 0.00 -147.23

DC 1.33 1.00 32.00 4.00 -35.43 35.43 -11.00 11.00 -4.88 4.88 -3.02 3.02 -1.11 1.11 -0.76 0.76 -0.28 0.28 -0.19 0.19 -0.07 0.07 -0.05 0.05 -0.02 0.02 -0.01 0.01 0.00 0.00 0.00 0.00 0.00 0.00 36.00

D DE (CANTILEVER)

-36.00

--> Momen ujung

-36.00

37

Contoh Soal ; q = 10 A

2I

B I

2

C 3

Solusi ;

METODE CROSS FEM AB = FEM BA =

SIKLUS 1 SIKLUS 2

-7.500 7.500 Joint Frame Kekauan relatif Faktor Distribusi FEM MD MP MD JUMLAH

A AB 2.667 0.000 -7.500 0.000 -2.143 0.000 -9.643

B BA 2.667 0.571 7.500 -4.286 0.000 0.000 3.214

BC 2.000 0.429 0.000 -3.214 0.000 0.000 -3.214

C CB 2.000 0.000 0.000 0.000 -1.607 0.000 -1.607

38