Critical Stress for Elastic Buckling of Column Should be
By BYJU'S Exam Prep
Updated on: September 25th, 2023
Critical stress for elastic buckling of column should be-
- π2λ/E2
- π2E/λ2
- π2λ2/E2
- π2E2/λ2
Answer: B. π2E/λ2
Table of content
Critical stress for elastic buckling of column should be π2E/λ2.
Solution
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:
Pcr=π2EI/(leff)2
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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