P5, X5 P3, X3

4 5 3 P2, X2P4, X4 E = 2100000 2.1E+10

A = 11.643

2 4

P1, X11 1 2

Elemen Batang L (m) θ EA/L1 1~2 0.001164 2 0 0 1 122220002 1~4 0.001164 2 90 1 0 122220003 2~4 0.001164 2 135 0.707 -0.707 122220004 2~5 0.001164 2 90 1 0 122220005 3~4 0.001164 2 0 0 1 12222000

Elemen 1 Elemen 2Matriks Kekakuan Elemen

12222000 0 -12222000 0[S]1 = 0 0 0 0 [S]2 =

-12222000 0 12222000 00 0 0 0

Matriks Kekakuan Global Setiap Elemen1 0 -1 0

[K]1 = 12222000 0 0 0 0 [K]2 =1 0 1 00 0 0 0

12222000 0 -12222000 0[K]1= 0 0 0 0 [K]2=

12222000 0 12222000 00 0 0 0

Matriks Kekakuan StrukturTitik Kumpul 2 Titik Kumpul 3

11 2 3 4

12222000 0 -12222000 0[K]1 = 0 0 0 0 [K]4 =

12222000 0 12222000 0 10 0 0 0

1 2 31 2 3 40 0 -12222000 0 1

kg/cm2

cm2

A (m2) sin θ cos θ

[K]2 = 0 0 0 0 [K5]5 =0 0 12222000 0 20 0 0 0 3

1 4 51 2 3 4

6111000 -6111000 -6111000 6111000 1[K]3 = -6111000 6111000 6111000 -6111000

-6111000 6111000 6111000 -6111000 46111000 -6111000 -6111000 6111000 5

K11 = 18333000 K33 =K12 = 0 K34 =K21 = -12222000 K43 =K22 = 12222000 K44 =

k11 k12 k13 k14 k15k21 k22 k23 k24 k25

[K]s = k31 k32 k33 k34 k35k41 k42 k43 k44 k45k51 k52 k53 k54 k55

18333000 0 0 0 0[K]s = -12222000 12222000 0 0 0

0 0 0 0 00 0 12222000 12222000 00 0 0 0 ###

sin θ cos θ1 0 00 1 0

0.5 0.5 -0.50 1 01 0 0

Elemen 3

12222000 0 -12222000 00 0 0 0 [S]3 =

-12222000 0 12222000 00 0 0 0

Matriks Kekakuan Global Setiap Elemen0 0 -1 0

12222000 0 0 0 0 [K]3 =0 0 1 00 0 0 0

0 0 -12222000 00 0 0 0 [K]3=0 0 12222000 00 0 0 0

Titik Kumpul 41 2 31 2 3 40 0 -12222000 0 10 0 0 0 [K]2 =0 0 12222000 0 20 0 0 0 3

4 5 2 31 2 3 4

12222000 0 -12222000 0 4

kg/m2

cos2θ sin2θ

0 0 0 0 5 [K]3 =12222000 0 12222000 0 3

0 0 0 0 2

[K]5 =

0 K55 =0

1222200012222000

Elemen 3

12222000 0 -12222000 00 0 0 0

-12222000 0 12222000 00 0 0 0

Matriks Kekakuan Global Setiap Elemen0.5 -0.5 -0.5 0.5

12222000 -0.5 0.5 0.5 -0.5-0.5 0.5 0.5 -0.50.5 -0.5 -0.5 0.5

6111000 -6111000 -6111000 6111000-6111000 6111000 6111000 -6111000-6111000 6111000 6111000 -61110006111000 -6111000 -6111000 6111000

Titik Kumpul 44 5

1 2 3 40 0 -12222000 00 0 0 00 0 12222000 0 40 0 0 0 5

1 4 51 2 3 4

6111000 -6111000 -6111000 6111000 1

-6111000 6111000 6111000 -6111000-6111000 6111000 6111000 -6111000 46111000 -6111000 -6111000 6111000 5

4 5 3 21 2 3 4

12222000 0 -12222000 0 40 0 0 0 5

12222000 0 12222000 0 30 0 0 0 2

6111000