The elastic buckling stress of thin flat plate of length L, depth d and thickness t simply supported along four edges and loaded by shear stresses distributed uniformly along its edges is given by(a) fcr = kπ^2E / [12(1-μ^2)(d/t)^2].(b) fcr = kπ^2E / [12(1+μ^2)(d/t)^2].(c) fcr = kπ^2E / [12(1-μ^2)(d/t)].(d) fcr = kπ^2E / [12(1+μ^2)(d/t)].I got this question during an interview.I'd like to ask this question from Local Buckling of Plates topic in section Plastic and Local Buckling Behaviour of Steel of Design of Steel Structures

The elastic buckling stress of thin flat plate of length L, depth d an

1.	The elastic buckling stress of thin flat plate of length L, depth d and thickness t simply supported along four edges and loaded by shear stresses distributed uniformly along its edges is given by(a) fcr = kπ^2E / [12(1-μ^2)(d/t)^2].(b) fcr = kπ^2E / [12(1+μ^2)(d/t)^2].(c) fcr = kπ^2E / [12(1-μ^2)(d/t)].(d) fcr = kπ^2E / [12(1+μ^2)(d/t)].I got this question during an interview.I'd like to ask this question from Local Buckling of Plates topic in section Plastic and Local Buckling Behaviour of Steel of Design of Steel Structures
Answer» The correct option is (a) fcr = kπ^2E / [12(1-μ^2)(d/t)^2]. Easy explanation: The elastic buckling stress fcr of thin flat plate of length L, depth d and thickness t simply SUPPORTED ALONG all four edges and loaded by SHEAR STRESSES distributed uniformly along its edges is given by fcr = kπ2E / [12(1-μ^2)(d/t)^2], where buckling coefficient can be approximated byk=5.35 + 4(d/L)^2, when L ≥ d and k = 5.35(d/L)2 + 4, when L ≤ d.

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