Strength of Materials

SOLVED UNIVERSITY QUESTIONS

SOLVED PROBLEM 5.15

A steel plate of width 60 mm and thickness 10 mm is bent into a circular arc of radius 10 m. Determine the maximum stress induced and bending moment which will produce the maximum stress. Assume the modulus of elasticity of steel as 2 × 10⁵ N/mm² (Anna Univ., June 2005, ME)

Solution:

Given data: b = 60 mm, thickness of plate, t = 10 mm, radius of curvature, R = 10 m and E = 2 × 10⁵ N/mm².

Let f_max be the maximum stress induced, and M be the bending moment.

Using bending equation,

 

 

This equation gives the stress at a distance y from neutral axis. Stress will be maximum when y is maximum.