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Q.

A reinforced-concrete column is subjected to compression by a certain load. Assume that modulus of elasticity of concrete is one-tenth of that of iron and the cross-sectional area of the iron is one-twentieth of that of concrete. If $F c F 1 = n$ Where $F c$ is the part of the load acting on concrete and $F 1,$ is the part of the load acting on iron, then find the value of n.

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answer is 2.

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Detailed Solution

$F_{c} = \frac{Δl}{l} A_{c} Y_{c} {and F}_{1} = \frac{Δl}{l} A_{1} Y_{1}$
It follows that $F C F 1 = 2$

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