Question

(a) Compare and contrast between deformation and strain? (b) If the UTS of a cold- worked steel material is 1300 MPa, estimate the modulus of resilience of the material.

Answer 1

4.024 MPa

Step-by-step explanation:

a) Deformation is when a body is subjected to load, its dimension's changes. This change in dimension is called deformation.

Consider a shaft of length L is subjected to tensile loading P due to this the shaft is stretched to L_f. Then the deformation in the shaft

ΔL= L_f- L

Whereas strain is defined as ratio of deformation or change in dimension to the original dimension. As shown in the figure

Strain= ε=
`(\delta L)/(L)`

b) Given

UTS of a cold- worked steel material is 1300 MPa

We know that for steel E= 1300 MPa

modulus of resilience U_m=
`(\sigma^2)/(2E)`

U_m = 1300^2/2×210×10^3 = 4.024 MPa.