Torsion of a Circular Bar - Shear Strain

 

Example:  Torque, T, acts on the circular shaft  shown.  The shaft  has a material with

shearing modulus of elasticity, G, of 10 x 106 psi.   Shaft length, L, is 30 inches.

The inner diameter is 10 inches and the outer diameter is 12 inches.   T = 20,000 ft lb.

Find the shear strain, γ,  at the inner surface of the shaft.

 

 

                                                     

 

 

 

Strategy:  Apply the relationship between the angle of twist, φ, and the shear strain, γ, 

                   in a circular shaft as shown below.

 

                                 

 

 

 

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