Strength of Materials

6.9 STRAIN ENERGY IN TORSION

Let a shaft of length l be under the action of torque T. Then, the work done in twisting shall be equal to the strain energy due to torsion (U). That is

 

 

For a gradually applied torque (Figure 6.4), considering the maximum torque for circular shaft Equation (6.5) and representing θ in terms of maximum shear stress, G , radius and length of shaft Equation (6.8), then

 

 

Fig. 6.4

 

 

Equation (6.25) gives the ...