Civil Engineering MCQJE Level Civil Engineering
For a simply supported beam of span L carrying UDL of w per unit length, the maximum deflection at midspan is:
Strength of MaterialsStrength of MaterialsMEDIUM
Choose the correct answer
A
wL⁴/(48EI)
B
wL⁴/(384EI)
C
5wL⁴/(384EI)
D
wL⁴/(8EI)
Correct Answer
C. 5wL⁴/(384EI)
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δmax = 5wL⁴/(384EI). This is a standard result. The factor 5/384 comes from integrating the elastic curve equation twice with boundary conditions δ(0)=0 and δ(L)=0. Useful for checking serviceability (span/deflection ratio ≥ 250 per IS 456).
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