Question

Which of the following is an expression for width of tension field?

(a) wtf = d sinφ + (c-sc-st)cosφ

(b) wtf = d cosφ + (c-sc-st)sinφ

(c) wtf = d cosφ – (c+sc-st)sinφ

(d) wtf = d sinφ – (c+sc-st)cosφ

This question was addressed to me in semester exam.

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

Answer 1

Right option is (b) wtf = d cosφ + (c-sc-st)sinφ

Easy explanation: The width of tension field in the tension field action method is given by wtf = d cosφ + (c-sc-st)sinφ, where d is depth of beam, φ = inclination of tension field = tan^-1(d/c), c is spacing between stiffeners, sc and st   are anchorage lengths of tension field along the compression and tension flanges respectively and depends on reduced plastic moment capacity, inclination of tension field, thickness of web and yield stress of web.