Critical stress for elastic buckling of column should be π2E/λ2.
A column can fail due to either buckling or crushing but in the case of a long column (λ≥12) failure governs due to buckling of column.
Buckling load for the column can be defined as:
Hence, critical stress =π2E/λ2
Where, E= modulus of elasticity of column material
λ = Slenderness ratio of column, =leff/k2
k = radius of gyration and leff = Effective length of column
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