Question

Euler critical load for column with both the ends fixed is given by

(a) Pcr = 2π^2EI/L^2

(b) Pcr = π^2EIL^2

(c) Pcr = 4π^2EI/L^2

(d) Pcr= π^2EI/L^2

The question was posed to me in homework.

I want to ask this question from Elastic Buckling of Slender & Built-up Compression Members in portion Design of Compression Members of Design of Steel Structures

Answer 1

Right option is (c) Pcr = 4π^2EI/L^2

The explanation is: The Euler critical load for column with both the ends hinged is given by Pcr = 4π^2EI/L^2, where E is elastic modulus of material, I is moment of inertia and L is length of column, effective length of column in this case = 2L.