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Deformation of Bars due to Axial Load

A steel bar o...

Question

A steel bar of 40 mm $\times$ 40 mm square cross-section is subjected to an axial compressive load of $200 k N .$ If the length of the bar is $2 m$ and $E$ = $200 G P a,$ the contraction of the bar will be

1.25 m m

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2.70 m m

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4.05 m m

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5.40 m m

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Solution

The correct option is A $1.25 m m$
We know that
$Δ L = \frac{P L}{A E} = \frac{200 \times 10^{3} \times 2 \times 10^{3}}{40 \times 40 \times 200 \times 10^{3}} = 1.25 m m$

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