Question

The value of fv in the nominal shear strength according to tension field method is given by

(a) [fyw^2+3 τb^2+Ψ^2]^0.5+Ψ

(b) [fyw^2-3 τb^2+Ψ^2]^0.5-Ψ

(c) [fyw^2-3 τb^2-Ψ^2] -Ψ

(d) [fyw^2+3 τb^2+Ψ^2]+Ψ

I got this question by my college professor while I was bunking the class.

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

Answer 1

Correct option is (b) [fyw^2-3 τb^2+Ψ^2]^0.5-Ψ

Easiest explanation: The value of fv in the nominal shear strength according to tension field method is given by fv = [fyw^2-3 τb^2+Ψ^2]^0.5-Ψ , where fyw is yield stress of web, τb is buckling strength or shear stress corresponding to web buckling, Ψ is a parameter which depends on inclination of tension field and buckling strength.