Critical Stress for Elastic Buckling of Column Should be

By Aina Parasher|Updated : July 12th, 2022

Critical stress for elastic buckling of column should be-

  1. π2λ/E2
  2. π2E/λ2
  3. π2λ2/E2
  4. π2E22

Answer: B. π2E/λ2

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:

Pcr2EI/(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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