A steel rod of length $$5$$ m is fixed rigidly between two supports. α of steel $$=12$$×$$10$$−$$6/oC$$, $$Y=2$$×$$1011Nm$$−$$2$$ With the increase in its temperature by $$400C$$ . the stress developed in the rod is

Correct option is 39.6×107Nm−2

Questions

A steel rod of length 5 m is fixed rigidly between two supports. $α$ of steel $= 12 \times 10^{- 6} /^{o} C$ , $Y = 2 \times 10^{11} {Nm}^{- 2}$ With the increase in its temperature by $40^{0} C$ . the stress developed in the rod is

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9.6×105Nm−2

9.6×106Nm−2

9.6×107Nm−2

9.6×108Nm−2

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detailed solution

Correct option is C

FA=YαΔt=2×1011×12×10−6×40=24×4×106=96×106N/m2=9.6×107N/m2

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A steel rod of length 5 m is fixed rigidly between two supports. α of steel =12×10−6/oC, Y=2×1011Nm−2 With the increase in its temperature by 400C . the stress developed in the rod is

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Ready to Test Your Skills?

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A steel rod of length 5 m is fixed rigidly between two supports. $α$ of steel $= 12 \times 10^{- 6} /^{o} C$ , $Y = 2 \times 10^{11} {Nm}^{- 2}$ With the increase in its temperature by $40^{0} C$ . the stress developed in the rod is