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Wednesday, 02 May 2018 20:06cat

Calculation Example – Critical load. Featured

Written by  TheStructuralEngineer.info

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

example8

Slenderness ratio

example87

Critical stress from Euler’s formula for K=1 pinned at two ends.\

example827

 Assuming that critical stress is in the elastic region σ_crit≤σ_pl=100MPa

ex987

 σ_crit=6.847*〖10〗^(-4)*100 GPa=68.47MPa≤σ_pl=100MPa

SO

EXAM985 

 

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