Shear stress in a solid circular shaft

## Find the maximum torsional shear stress in a solid circular shaft of diameter 10 mm, when the applied torque is 30 N.m.

Solution:
 

Given,

           Torque, T = 30 N.m

           Diameter, d = 10 mm = 0.01 m

           Max^m Shearing Stress, τ_max = ?

We Know the maximum torsional shearing stress formula that,

                      τ_max = 16T/ πd³

                              = (16 x 30)/ [π x (0.01)³]

                              = 152.78 x 10⁶ N/m²

                              = 152.78 MPa

So, the maximum torsional shearing stress = 152.78 MPa.