Version 1.0, August 31, 2001, Copyright, Hugh Jack 1993-2001

11.10 SHEAR STRAIN

 

· While Young's modulus is intended for the stress to strain relationship for Axial or normal strain, we will use the Shear modulus G for shear strain.

 

· First consider the general square cubic element below,

 

 

· Now, Assume a shear stress in the positive x direction that induces the deformation as shown below.

 

 

· NOTE: these calculations are based upon the assumption of small angles of deflection.

 

· How a material strains in shear is related to normal strain by Poisson's Ratio,

 

 

· Try the simple problem below,

 

 

· Consider the example shown below from Beer and Johnson, 1992, pg. 89 #2.86,