A two-hinged semicircular arch of radius R carries a uniformly di
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
Concept
|
Arches |
Horizontal Thrust |
|
Semicircular arch subjected to concentrated load (W) at Crown
|
\(H = \left( {\frac{W}{\pi}} \right)\) |
|
Semicircular arch subjected to UDL (w/per unit length) over the entire span
|
\(H = \frac{4}{3}\left( {\frac{{wR}}{\pi }} \right)\) |
|
Parabolic arch subjected to concentrated load (W) at Crown
|
\(H = \frac{{25}}{{128}}\left( {\frac{{WL}}{h}} \right)\) |
|
Parabolic arch subjected to UDL (w/per unit length) over the entire span
|
\(H = \left( {\frac{{w{L^2}}}{{8h}}} \right)\) |
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,
\(H = \left( {\frac{W}{\pi }} \right){\sin ^2}\left( \alpha \right)\;\)
