A horizontal steel railroad track has a length of 100 m when the tempe

1.	A horizontal steel railroad track has a length of 100 m when the temperature is 25ºC. The track is constrained from expanding or bending. The stress on the strack on a hot summer day, when the temperature is 40ºC, is (Note : the linear coefficient of thermal expansion for steel is 1.1 x 10–5 /ºC and the Young's modulus of steel is 2 x 1011 Pa)(A) 6.6 x 107 Pa(B) 8.8 x 107 Pa(C) 3.3 x 107 Pa (D) 5.5 x 107 Pa
Answer» Correct option (C) 3.3 x 10⁷ Pa Explanation: When some body is constrained from expanding or bending then on heating thermal stress get develop in the body. Stress = Y αΔT = 2 × 10¹¹ x 1.1 x 10^–5 x (40 – 25) = 3.3 × 10⁷ N/m² = 3.3 x 10⁷ Pa

A horizontal steel railroad track has a length of 100 m when the temperature is 25ºC. The track is constrained from expanding or bending. The stress on the strack on a hot summer day, when the temperature is 40ºC, is (Note : the linear coefficient of thermal expansion for steel is 1.1 x 10–5 /ºC and the Young's modulus of steel is 2 x 1011 Pa)(A) 6.6 x 107 Pa(B) 8.8 x 107 Pa(C) 3.3 x 107 Pa (D) 5.5 x 107 Pa

Answer»

Correct option (C) 3.3 x 10⁷ Pa

Explanation:

When some body is constrained from expanding or bending then on heating thermal stress get develop in the body.

Stress = Y αΔT =

2 × 10¹¹ x 1.1 x 10^–5 x (40 – 25)

= 3.3 × 10⁷ N/m²

= 3.3 x 10⁷ Pa

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