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The beam of an overall depth 250 mm (shown below) is used in a building subjected to two different thermal environments. The temperatures at the top and bottom surfaces of the beam are 36°C and 72°C respectively. Considering coefficient of thermal expansion (α) as 1.50 × 10–5 per °C, the vertical deflection of the beam (in mm) an its mid-span due to temperature gradient is ________
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- 2.38 to 2.4
- 2.38 to 2.45
- 2.38 to 3.45
- 3.38 to 2.45
Correct Option: B
Vertical deflection at mid span,
δ = | 8h |
T = difference in temperature = (72 – 36) = 36° C
δ = | = 2.43 mm | 8 ×(250 × 10-3) |