example #6
DESCRIPTION
Detailed solutionTRANSCRIPT
EXAMPLE 6
Truss AnalysisElement 1 2 3
Emod 30000 ksi 30000 ksi 30000 ksi
Area 1 in2 1 in2 1 in2
Length 156.00 in 60.00 in 156.00 in
Angle -22.62 deg 90 deg 22.62 deg
Ct 6.50E-06 1/oF 6.50E-06 1/oF 6.50E-06 1/oF
Dvec 0 1 1
0 2 2
1 0 0
2 0 0
DelT 50 oF 0 oF 0 oF
Lfit 0 in [+ if long] 0 in 0 in
Pj 0 kip kip kip
0
L 0 0 1 0 1 0
0 0 0 1 0 1
1 0 0 0 0 0
0 1 0 0 0 0
T 0.9231 -0.3846 0.0000 0.0000 0.0000 1.0000 0.0000 0.0000 0.9231 0.3846 0.0000 0.0000
0.3846 0.9231 0.0000 0.0000 -1.0000 0.0000 0.0000 0.0000 -0.3846 0.9231 0.0000 0.0000
0.0000 0.0000 0.9231 -0.3846 0.0000 0.0000 0.0000 1.0000 0.0000 0.0000 0.9231 0.3846
0.0000 0.0000 0.3846 0.9231 0.0000 0.0000 -1.0000 0.0000 0.0000 0.0000 -0.3846 0.9231
k' 192.31 0.00 -192.31 0.00 500.00 0.00 -500.00 0.00 192.31 0.00 -192.31 0.00
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
-192.31 0.00 192.31 0.00 -500.00 0.00 500.00 0.00 -192.31 0.00 192.31 0.00
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
k = Tt.k'.T 163.86 -68.27 -163.86 68.27 0.00 0.00 0.00 0.00 163.86 68.27 -163.86 -68.27
-68.27 28.45 68.27 -28.45 0.00 500.00 0.00 -500.00 68.27 28.45 -68.27 -28.45
-163.86 68.27 163.86 -68.27 0.00 0.00 0.00 0.00 -163.86 -68.27 163.86 68.27
68.27 -28.45 -68.27 28.45 0.00 -500.00 0.00 500.00 -68.27 -28.45 68.27 28.45
Ki = Lt.k.L 163.86 -68.27 0.00 0.00 163.86 68.27
-68.27 28.45 0.00 500.00 68.27 28.45
K 327.72 0.00
0.00 556.90
p'f 9.75 0.00 0.00
0.00 0.00 0.00
-9.75 0.00 0.00
0.00 0.00 0.00
pf = Tt.p'f 9.00 0.00 0.00
-3.75 0.00 0.00
-9.00 0.00 0.00
3.75 0.00 0.00
Pf,i = Lt.pf -9.00 0.00 0.00
3.75 0.00 0.00
Pf = S(Pf,i) -9.00
3.75
P = Pj - Pf 9.00
-3.75
U 0.02746
-0.00673
u 0 0.027463 0.027463
0 -0.00673 -0.00673
0.027463 0 0
-0.00673 0 0
u' = T.u 0 -0.00673 0.02276
0 -0.02746 -0.01678
0.02794 0 0
0.004347 0 0
p' = k'.u' + p'f 4.377 -3.367 4.377
0.000 0.000 0.000
-4.377 3.367 -4.377
0.000 0.000 0.000
C T C