Question

The value of β in equation of moment capacity of plastic section for V > 0.6Vd is given by

(a) ([Vd/V] -1)^2

(b) (2[Vd/V] +1)^2

(c) (2[Vd/V] -1)^2

(d) (2[Vd/V] -1)

I had been asked this question in homework.

Question is taken from Design Strength of Laterally Supported Beams in division Design of Beams of Design of Steel Structures

Answer 1

The correct choice is (c) (2[Vd/V] -1)^2

To elaborate: The value of β in equation of moment capacity of plastic section for V > 0.6Vd is given by β = (2[Vd/V] -1)^2, where Vd =  design shear strength as governed by web yielding or web buckling, V = factored applied shear force.