Strength of Materials

3.2 STRAIN ENERGY DUE TO LOADING

Strain energy stored depends on the type of loading, viz., gradual loading, sudden loading and impact loading.

3.2.1 Strain Energy Due to Gradual Loading

A prismatic bar loaded gradually is shown in Figure 3.1. The load deflection diagram is shown in Figure 3.2 which will be a straight line during the elastic behaviour of the material. Thus, for a load of P_g the corresponding elongation is δl_g

 

 

Fig. 3.1 Gradual loading.

 

 

Fig. 3.2 Load-deformation diagram.

 

Now, if the load is increased by a load increment ...