tugas 1 - meh
Post on 17-Feb-2016
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Matrik [A] Matriks [S] Matriks [S].[A]0 0 0 0.667 0.333 0 0 0 0 0.3331 0 0 0.333 0.667 0 0 0 0 0.6671 0 0 0 0 1 0.5 0 0 10 1 0 0 0 0.5 1 0 0 0.50 1 0 0 0 0 0 0.667 0.333 00 0 1 0 0 0 0 0.333 0.667 0
0 1 1 0 0 0 1.6670 0 0 1 1 0 0.50 0 0 0 0 1 0
pq1 q2
A B C D Momen :MAB= 3MBA= -3MBC= 3MCB= -3
6 6 6 MCD= 3MDC= -3
Matrik [A]T Matriks [K] = [A]T.[S].[A]
Matriks [S].[A]0 00 0
0.5 01 0
0.667 0.3330.333 0.667
0.500 0 0.666 -0.222 0.111 0 0.3331.667 0.333 -0.222 0.7403 -0.370 X 0 = -1.1090.333 0.667 0.111 -0.37 1.684 3 5.051
H = S. A. D Mprimer Mprimer0.111 3 3.1110.222 -3 -2.778-0.222 + 3 = 2.778-0.943 -3 -3.9430.943 3 3.943
3 -3 0
q1= 1 t/mq2= 1 t/mp= 4 t
Matriks [K] = [A]T.[S].[A] Matriks [K]-1 Q=[A]T [S].[A] D=[K]-1.Q
p=1000 kg
6 4
p1 p2 q1 q2
A B C D Momen :MAB= 3MBA= -3MBC= 3MCB= -3
6 6 6 MCD= 3MDC= -3
Matrik [A] Matriks [S] Matriks [S].[A]0 0 0 0.667 0.333 0 0 0 0 0.3331 0 0 0.333 0.667 0 0 0 0 0.6671 0 0 0 0 1 0.5 0 0 10 1 0 0 0 0.5 1 0 0 0.50 1 0 0 0 0 0 0.667 0.333 00 0 1 0 0 0 0 0.333 0.667 0
0 1 1 0 0 0 1.6670 0 0 1 1 0 0.50 0 0 0 0 1 0
Matrik [A]T Matriks [K] = [A]T.[S].[A]
q1= 1 t/mq2= 1 t/mp= 4 t
Matriks [S].[A]0 00 0
0.5 01 0
0.667 0.3330.333 0.667
0.500 0 0.666 -0.222 0.111 0 0.3331.667 0.333 -0.222 0.7403 -0.370 X 0 = -1.1090.333 0.667 0.111 -0.37 1.684 3 5.051
H = S. A. D Mprimer Mprimer0.111 3 3.1110.222 -3 -2.778-0.222 + 3 = 2.778-0.943 -3 -3.9430.943 3 3.943
3 -3 0
Matriks [K] = [A]T.[S].[A] Matriks [K]-1 Q=[A]T [S].[A] D=[K]-1.Q
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