Question

The buckling stress fcr varies _____

(a) inversely as plate slenderness or width-to-thickness ratio

(b) directly as plate slenderness or width-to-thickness ratio

(c) inversely as square of plate slenderness or width-to-thickness ratio

(d) directly as square of plate slenderness or width-to-thickness ratio

The question was asked in an internship interview.

Enquiry is from Local Buckling of Plates topic in section Plastic and Local Buckling Behaviour of Steel of Design of Steel Structures

Answer 1

Right answer is (c) inversely as square of plate slenderness or width-to-thickness ratio

Explanation: The buckling stress fcr varies inversely as square of plate slenderness or width-to-thickness ratio,  √(fy /fcr) = (b/t)√{(fy / E)[12(1-μ^2)/(π^2k)]} .