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Three Hinged Arch - Procedure for Analysis

A three-hinge...

Question

A three-hinged arch of span L and rise R is subjected to a concentrated load P at the crown-point. The horizontal thrust at the support is

A

\frac{P R}{L}

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B

\frac{P L}{3 R}

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C

\frac{P L}{R}

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D

\frac{P L}{4 R}

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Solution

The correct option is D $\frac{P L}{4 R}$
From symmetry

$R_{1} = R_{2} = P / 2$

Taking moment about crown = 0

$\Rightarrow H = \frac{P L}{4 R}$

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