(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.

4.024 MPa

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=

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=

U_m = 1300^2/2×210×10^3 = 4.024 MPa.

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