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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
A solid rod has a diameter of 20 mm and is 600 mm long. It is made of a material that can be modeled by the stress–strain diagram shown in the figure below. If it is used as a pin-supported column, determine the critical load.
Solution
Radius of gyration is
Slenderness ratio
Critical stress from Euler’s formula for K=1 pinned at two ends.\
Assuming that critical stress is in the elastic region σ_crit≤σ_pl=100MPa
σ_crit=6.847*〖10〗^(-4)*100 GPa=68.47MPa≤σ_pl=100MPa
SO
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