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Mechanical and structural analysis miscellaneous

Mechanics and Structural Analysis

  1. 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 ________
    1. 2.38 to 2.4
    2. 2.38 to 2.45
    3. 2.38 to 3.45
    4. 3.38 to 2.45
Correct Option: B


Vertical deflection at mid span,

δ =
L2 ∝ T
8h

T = difference in temperature = (72 – 36) = 36° C
δ =
32 (1.5 × 10-5) × 36
= 2.43 mm
8 ×(250 × 10-3)



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