Question

The relationship between modulus of resilience (R).Young's modulus of Rigidity (E) and stress induced in the body (ơ) is:

• A. $$3E=\frac{\sigma^2}{R}$$
• B. $$R=\frac{\sigma^2}{2E}$$
• C. $$E=\frac{\sigma^2}{4R}$$
• D. $$R=\frac{\sigma^2}{E}$$

Answer 1

Answer:

$$R=\frac{\sigma^2}{2E}$$

The modulus of resilience (R) is the strain energy density that a material can absorb without permanent deformation. It is calculated as the area under the stress-strain curve up to the elastic limit. The relationship between R, Young's modulus of rigidity (E), and stress induced in the body (ơ) is given by $R=\frac{\sigma^2}{2E}$