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

The elastic critical shear stress of the web is given by(a) kvπ^2/[12

1.	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» 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.

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