Civil Engineering MCQAE Level Civil Engineering

The cable carrying a load of w kN/m of horizontal span is stretched between supports L m apart at same level and central dip h m. The maximum tension in cable is

Structural AnalysisStructural AnalysisMEDIUM

Choose the correct answer

A

wL^2/(8h) sqrt(1+(h/L)^2)

B

wL^2/(2) sqrt(1+(L/2h)^2)

C

wL^2/(8h) sqrt(1+(4h/L)^2)

D

wL^2/(2) sqrt(1+(L/4h)^2)

Correct Answer

C. wL^2/(8h) sqrt(1+(4h/L)^2)

Why is this the answer?

H = wL^2/(8h), vertical reaction = wL/2; Tmax = sqrt(H^2+V^2) = H sqrt(1+(4h/L)^2)

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This MCQ belongs to WBPSC AE Previous Years Questions Series. Full tests include timed attempts, rank comparison and subject-wise analysis.

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