Critical Stress For Elastic Buckling Of Euler Column Should Be

By Aina Parasher|Updated : July 21st, 2022

Critical stress for elastic buckling of Euler column should be

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

Answer: B. π2E/λ2

Critical stress for elastic buckling of Euler column should be π2E/λ2.

Solution

We know that, from Euler’s formula

Pe=π2EImin/l2eff

Where Pe= Bulking load

Imin Minimum moment of inertia about centroidal axis

leff= Effective length of column

Pe2Ar2min/l2eff

We also know that,

σcritical=Pe/A

2EAr2min/l2eff×A

2E/(l2eff/rmin)2

σcritical2E/λ2c= critical stress

 leff/rminCritical slenderness ratio

Note :-

Euler’s formula is applicable when,

Crushing strength Buckling stress.

Hence, Critical stress for elastic buckling of Euler column should be π2E/λ2.

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