The steel rod is stress-free before the
axial loads P1 = 150 kN and P2 = 90 kN
are applied to the rod. Assuming that the
walls are rigid, calculate the axial force in
each segment after the loads are applied.
Use E = 200 GPa.
Solution;
The figure is as shown below;
From the diagrams; Section AB is under compression and Section BC and CD are under tension.
Let be the reaction at point A and be the reaction at point D.
The axial forces on the sections can be expressed as;
The strain in a member is given as;
Since the walls are rigid;
But E is the same for all sections;
Simplify;
The axial force in each segments are;
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