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^2The 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

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

1.	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^2The 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» 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.

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