Question

The elastic critical shear stress of the web is given by

(a) kvπ^2/[12(1+μ^2)(d/tw)^2].

(b) kvπ^2E/[12(1+μ^2)(d/tw)^2].

(c) kvπ^2E/[12(1-μ^2)(d/tw)^2].

(d) kvE/[12(1-μ^2)(d/tw)].

I had been asked this question by my college professor while I was bunking the class.

Enquiry is from Web Panel Subjected to Shear in section Gantry Girders, Design of Plate Girders & Industrial Buildings of Design of Steel Structures

Answer 1

The correct option is (c) kvπ^2E/[12(1-μ^2)(d/tw)^2].

To elaborate: The elastic critical shear stress of the web is given by τcr,e = kvπ^2E/[12(1-μ^2)(d/tw)^2], where E is elastic modulus, μ is Poisson’s ratio, kv is constant which depends on spacing of transverse stiffeners and depth of web.