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Q.

Yield strength $(σ_{y})$ of mild steel is $3 \times 10^{8} {Nm}^{- 2}$ The minimum area cross section of rope of mild steel required to lift a load of metric ton is

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a

$33 {cm}^{2}$

b

$3.3 m^{2}$

c

$0.33 {cm}^{2}$

d

$3.3 {cm}^{2}$

answer is C.

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Detailed Solution

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For not yielding $A \geq \frac{Mg}{σ_{y}} \Rightarrow A \geq \frac{10^{3} \times 10}{3 \times 10^{8}} m^{2}$ $\geq \frac{1}{3} \times 10^{- 4} m^{2}$

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Yield strength σy of mild steel is 3×108 Nm−2 The minimum area cross section of rope of mild steel required to lift a load of metric ton is