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Two ends of a steel rod are rigidly fixe...

Two ends of a steel rod are rigidly fixed with two supports. At `30^(@)C` its area of cross-section is 4 `cm^(2)`. How much force will be exerted on the supports by the ends of the rod if the temperature of the rod is raised by `60^(@)C`? [Young's modulus of steel `=2.1 times 10^(12)dyn*cm^(-2)` and its coefficient of linear expansion is `12 times 10^(-6@)C^(-1)]`

Text Solution

Verified by Experts

In this case, `A=4cm^(2), Y=2.1 times 10^(12)dyn*cm^(-2)`,
`alpha=12 times 10^(-6@)C^(-1) " and " t=60-30=30^(@)C`
`therefore` The force exerted
`" " =AYat=4 times 2.1 times 10^(12) times 12 times 10^(-6) times 30`
`" " =3.024 times 10^(9)dyn.`
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