Civil Engineering MCQAE Level Civil Engineering

A three-hinged parabolic arch of span L and rise h carries a UDL of w over the entire span. The horizontal thrust H at each springing is:

Structural AnalysisThree-hinged ArchMEDIUM

Choose the correct answer

A

wL²/4h

B

wL²/8h

C

wL²/16h

D

wL/4h

Correct Answer

B. wL²/8h

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For a three-hinged arch under UDL, taking moments about crown hinge: H × h = wL²/8 (same as midspan BM of equivalent SS beam). Hence H = wL²/8h.

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