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Strength of Materials

Properties of Materials

A 2 m long ba...

Question

A $2 m$ long bar of uniform section extends $2 m m$ under limiting axial stress of $200 N / m m^{2}$ . What is the modulus of resilience for the bar?

A

0.10

Units

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B

0.20

units

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C

10000

units

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D

200000

units

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Solution

The correct option is A $0.10$ Units
Modulus of resilience, $u = \frac{f^{2}}{2 E}$
$w h e r e E = \frac{f L}{Δ L}$

$∴ u = \frac{f Δ L}{2 L} = \frac{200 \times 2}{2 \times 2000} = 0.10 u n i t s$

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