Answer: B. π2E/λ2
Critical stress for elastic buckling of Euler column should be π2E/λ2.
We know that, from Euler’s formula
Where Pe= Bulking load
Imin = Minimum moment of inertia about centroidal axis
leff= Effective length of column
We also know that,
σcritical=π2E/λ2c= critical stress
leff/rmin= Critical slenderness ratio
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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