Strength of Materials

SOLVED UNIVERSITY QUESTIONS

SOLVED PROBLEM 1.19

Determine the value of Young’s modulus and Poisson’s ratio of a metallic bar of length 300 mm, width 40 mm and depth 40 mm, when the bar is subjected to an axial compressive force of 400 kN, the decrease in length is given as 0.75 mm and increase in width as 0.03 mm (Anna Univ., June 2006, CE).

Solution:

Given data: Length, l = 300 mm, width, b = 40 mm, depth, d = 40 mm, decrease in length, δl = 0.75 mm, load, P = 400 kN and increase in width, δb = 0.03 mm.

 

Young’s modulus,
∴