The critical stress of infinite plate having width b and thickness t loaded by compressive forces acting on simply supported sides is given by(a) (kπ^2E)/ [12(1-μ^2)(b/t)].(b) (kπ^2E)/ [12(1-μ^2)(b/t)^2].(c) (kπ^2E)/ [12(1+μ^2)(b/t)].(d) (kπ^2E)/ [12(1+μ^2)(b/t)^2].I had been asked this question in an interview.This question is from Local Buckling of Plates topic in portion Plastic and Local Buckling Behaviour of Steel of Design of Steel Structures

The critical stress of infinite plate having width b and thickness t l

1.	The critical stress of infinite plate having width b and thickness t loaded by compressive forces acting on simply supported sides is given by(a) (kπ^2E)/ [12(1-μ^2)(b/t)].(b) (kπ^2E)/ [12(1-μ^2)(b/t)^2].(c) (kπ^2E)/ [12(1+μ^2)(b/t)].(d) (kπ^2E)/ [12(1+μ^2)(b/t)^2].I had been asked this question in an interview.This question is from Local Buckling of Plates topic in portion Plastic and Local Buckling Behaviour of Steel of Design of Steel Structures
Answer» CORRECT answer is (b) (kπ^2E)/ [12(1-μ^2)(b/t)^2]. To explain: The critical stress of infinite plate having width b and THICKNESS t loaded by compressive forces acting on SIMPLY supported sides is given by fcr = (kπ^2E)/ [12(1-μ^2)(b/t)^2], where μ is Poisson’s ratio of material, b/t is width-to-thickness ratio of plate, k is buckling coefficient and E is Young’s modulus of rigidity of material. The value of coefficient k depends on constraints along non-loaded EDGES of plate.

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