Figure below shows the strain-stress curve for a given material. What are (a) Young’s modulus and (b) approximate yield strength for this material?
Figure below shows the strain-stress curve for a given material. What are (a) Young’s modulus and (b) approximate yield strength for this material?

Solution:

(a) Young’s modulus,

Y=\frac{Stress}{Strain}

=150 \times 10^{6} / 0.002

=150 \times 10^{6} / 2 \times 10^{-3}

=75 \times 10^{9} \mathrm{Nm}^{-2}

=75 \times 10^{10} \mathrm{Nm}^{-2}

(a) A material’s yield strength is the highest stress it can withstand while maintaining its elasticity. The estimated yield strength of the given material can be determined from the graph.

=300 \times 10^{6} \mathrm{Nm}^{-2}

=3 \times 10^{8} \mathrm{Nm}^{-2}