A steel beam with cross section 60 cm2 is fixed between two rigid clamps at 100 C. When the beam is heated to 350 C, the force exerted on the ends of the beam by the clamps is Y=2×1011Pa,α=12×10−6/ 0C

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A steel beam with cross section 60 cm² is fixed between two rigid clamps at 10⁰ C. When the beam is heated to 35⁰ C, the force exerted on the ends of the beam by the clamps is $(Y = 2 \times 10^{11} P a, α = 12 \times 10^{- 6} /^{0} C)$

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$3.6 \times 10^{6} N$

$3.6 \times 10^{5} N$

$36 \times 10^{5} N$

$36 \times 10^{7} N$

answer is D.

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Detailed Solution

$F = y A α Δ θ$

$= 2 \times 10^{11} \times 6 \times 10^{- 3} \times 12 \times 10^{- 6} \times 25 N$

$= 3.6 \times 10^{5} N$

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