व्यास R वाला एक दो-कब्जेदार अर्धवृत्ताकार मेहराब अपनी पूर्ण अवधि
A. WR
B. WR/2
C. <span class="math-tex">\(\frac{4R}{3\pi }\times W\)</span>
D. <span class="math-tex">\(\frac{2R}{3\pi }\times W\)</span>
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
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Arches |
Horizontal Thrust |
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Semicircular arch subjected to concentrated load (W) at Crown
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\(H = \left( {\frac{W}{\pi}} \right)\) |
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Semicircular arch subjected to UDL (w/per unit length) over the entire span
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\(H = \frac{4}{3}\left( {\frac{{wR}}{\pi }} \right)\) |
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Parabolic arch subjected to concentrated load (W) at Crown
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\(H = \frac{{25}}{{128}}\left( {\frac{{WL}}{h}} \right)\) |
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Parabolic arch subjected to UDL (w/per unit length) over the entire span
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\(H = \left( {\frac{{w{L^2}}}{{8h}}} \right)\) |
Important Points:
For a Two Hinged Semicircular arch subjected to concentrated load (W) at any other point which makes an angle α with the horizontal, then the horizontal thrust,
\(H = \left( {\frac{W}{\pi }} \right){\sin ^2}\left( \alpha \right)\;\)