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For the
25-bar truss shown below, determine the displacements and elemental stresses.
Nodes 7, 8, 9, and 10 are pin connections. Let E = 107
psi
and the A = 2.0 in2 for the first story and A = 1.0
in2
for the top story. Table 1 lists the coordinates for each node. Table 2 lists
the values and directions of the two loads cases applied to the 25-bar space
truss.
Table 1. Coordinates for the 25-Bar Truss
|
Node |
x (in) |
y (in) |
z (in) |
|
1 |
-37.5 |
0.0 |
200.0 |
|
2 |
37.5 |
0.0 |
200.0 |
|
3 |
-37.5 |
37.5 |
100.0 |
|
4 |
37.5 |
37.5 |
100.0 |
|
5 |
37.5 |
-37.5 |
100.0 |
|
6 |
-37.5 |
-37.5 |
100.0 |
|
7 |
-100.0 |
100.0 |
0.0 |
|
8 |
100.0 |
100.0 |
0.0 |
|
9 |
100.0 |
-100.0 |
0.0 |
|
10 |
-100.0 |
-100.0 |
0.0 |
|
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Table 2. Multiple Loading Conditions for the 25-Bar Truss
|
Case |
Node |
Fx (kip) |
Fy (kip) |
Fz (kip) |
|
1
|
1 |
1.0 |
10.0 |
-5.0 |
|
2 |
0.0 |
10.0 |
-5.0 |
|
3 |
0.5 |
0.0 |
0.0 |
|
6 |
0.5 |
0.0 |
0.0 |
|
2 |
1 |
0.0 |
20.0 |
-5.0 |
|
2 |
0.0 |
-20.0 |
-5.0 |
|
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