The elastic buckling stress for thin flat plate of length L, depth d and thickness t simply supported along four edges and loaded by bending stress distribution is given by(a) fcr= π^2E/k[12(1-μ^2)(d/t)^2].(b) fcr= π^2E/k[12(1+μ^2)(d/t)^2].(c) fcr= kπ^2E/[12(1+μ^2)(d/t)^2].(d) fcr= kπ^2E/[12(1-μ^2)(d/t)^2].The question was asked in a national level competition.The query is from Local Buckling of Plates in chapter Plastic and Local Buckling Behaviour of Steel of Design of Steel Structures

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

1.	The elastic buckling stress for thin flat plate of length L, depth d and thickness t simply supported along four edges and loaded by bending stress distribution is given by(a) fcr= π^2E/k[12(1-μ^2)(d/t)^2].(b) fcr= π^2E/k[12(1+μ^2)(d/t)^2].(c) fcr= kπ^2E/[12(1+μ^2)(d/t)^2].(d) fcr= kπ^2E/[12(1-μ^2)(d/t)^2].The question was asked in a national level competition.The query is from Local Buckling of Plates in chapter Plastic and Local Buckling Behaviour of Steel of Design of Steel Structures
Answer» Correct OPTION is (d) fcr= kπ^2E/[12(1-μ^2)(d/t)^2]. The best I can explain: The elastic buckling stress for thin flat plate of length L, depth d and thickness t simply supported ALONG all four edges and loaded by bending stress distribution, which varies linearly across its width is given by fcr= kπ^2E/[12(1-μ^2)(d/t)^2], where buckling coefficient k DEPENDS on aspect RATIO L/d and the NUMBER of buckles along the plate.

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