A steel rod with y = 2 . 0 × 10 11 N m - 2 and α = 10 - 5 C ∘ - 1 of length 4 m and area of cross-section 10 cm 2 is heated from 0 ° C to 400 ° C without being allowed to extend. The tension produced in the rod is x × 10 5 N where the value of x is _ _ _ _ _ _ _ _ _ .

Question

A steel rod with y = 2 . 0 × 10 11 N m - 2 and α = 10 - 5 C ∘ - 1 of length 4 m and area of cross-section 10 cm 2 is heated from 0 ° C to 400 ° C without being allowed to extend. The tension produced in the rod is x × 10 5 N where the value of x is _ _ _ _ _ _ _ _ _ .,

MARKS App · Accepted Answer

Thermal force F = A y α Δ T F = 10 × 10 - 4 × 2 × 10 11 10 - 5 ( 400 ) F = 8 × 10 5 N ⇒ x = 8

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