Ncert Exercises & Solutions

9.2 Figure 9.11 shows the strain-stress curve for a given material. What are (a) Young’s modulus and (b) approximate yield strength for this material?

Fig. 9.11

For stress = $150 \times 10^{6} N / m^{2}$ , the strain is = 0.002.

a) Young’s modulus is given by, Y = $\frac{Stress}{Strain}$ $= \frac{150 \times 10^{6}}{0.002} = 7.5 \times 10^{10} N / m^{2}$

b) The yield strength of a material is the maximum stress that the material can sustain without crossing the elastic limit.

From the given graph, we can see that the approximate yield strength of this material is 300×10 $^{6}$ N/m $^{2}$ or 3×10 $^{8}$ N/m $^{2}$ .

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