Civil Engineering Reference
In-Depth Information
K =
9.724 0.0
0.0 1.431
δ =
Solving:
0.0 1.431
7.889
2.00
=
9.724 0.0
=
0.8112
1.398
The change in length and the resulting change in force in each member is:
=
2236
20000.8112
10001.398
= 0.1000 mm
0.3577
Compression
=
223620000.8112
10001.398
= 1.350 mm
4.831
Compression
=
200020000.8112
1.398
= 0.8117 mm
3.2468
Tension
Checking the change in member forces at Joint C:
cos∝
cos∝
cos∝
= -0.8944(-0.3577) - 0.8944(-4.831) + 1.0(3.246) = 7.889 kN
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