11.10 SHEAR STRAIN

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À  p

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,