What is the modulus of resilience for a tensile test specimen with a nearly linear elastic region if the yield strength is 500MPa at a strain of 0.003

U = 0.75 MPa

Therefore, the modulus of resilience for the tensile test specimen is 0.75MPa

Explanation:

The Modulus of resilience can be derived from the area under the elastic portion of the stress-strain diagram. It can be written mathematically as;

U = 1/2 * yield strength * yield strain.

Where U is the modulus of resilience.

Given;

Yield strength = 500MPa

Yield strain = 0.003

Substituting the given values we have;

U = 1/2 * 500MPa * 0.003

U = 0.75 MPa

Therefore, the modulus of resilience for the tensile test specimen is 0.75MPa

The modulus of resilience is 166.67 MPa

Explanation:

Modulus of resilience is given by yield strength : strain

Yield strength = 500 MPa

Strain = 0.003

Modulus of resilience = 500 MPa : 0.003 = 166.67 MPa