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Calculate the Axial Forces of the Truss Members
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This calculation is an example problem in structural engineering. This content is sponsored by PPI. For similar problems, see the list of review books by PPI
Find the axial forces of the members 2-3, 9-3 of the truss for the given loads.
Solution
From the equilibrium of the forces on the truss we have:
ΣFx = 0 -> H1 = 0
ΣM1 = 0 -> 200 * 4 - B5 * 8 = 0 -> B5 = 100KN
ΣFy = 0 -> B1 + B5 = 200KN -> B1 = 100KN
We consider the cross section T so as to calculate the axial forces on member 2-3 and 3-9. We consider the equilibrium of moments to the node 9.
ΣM9 = 0 -> 2 * 100 - S2-3 * 2 = 0 -> S2-3 = 100KN
From the quilibrium of forces at Y direction
ΣFy = 0 -> -S9-3 * sin45 + 100 = 0 -> S9-3 = 100 / sin45 KN
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