Question

The stress strain curve of a steel rod is given as shown. The phenomenon is called elastic hysteresis. Let area under curve ($C_1$) is $a$ and area under curve ($C_2$) is $b$.

Stress

• A. Heat dissipated per unit volume in one cycle is $a$
• B. Heat dissipated per unit volume in one cycle is $a-b$
• C. Work done on the rod is $a$ when it is extended

Answer 1

Answer: (B), (C)

Options B and C

Answer 2

• The energy dissipated as heat per unit volume in one complete cycle equals the area of the hysteresis loop, which is the difference between the loading and unloading curves. Thus, it is $a - b$.
• The work done on the rod during loading (extension) equals the area under the loading curve, i.e., $a$.