First slide

Elastic Modulie

Question

Figure shows the strain-stress curve for a given material. The Young's modulus of the material is G

Moderate

A

$5 \times 10^{9} {Nm}^{- 2}$
B

$5 \times 10^{10} {Nm}^{- 2}$
C

$7.5 \times 10^{9} {Nm}^{- 2}$
D

$7.5 \times 10^{10} {Nm}^{- 2}$

Solution

From the given graph for a stress of $150 \times 10^{6} {Nm}^{- 2}$ the strain is 0.002.
$∴$ $Young' s modulus Y = \frac{Stress}{Strain}$
$Y = \frac{150 \times 10^{6}}{0.002} {Nm}^{- 2} = 7.5 \times 10^{10} {Nm}^{- 2}$

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