Question

There are two hinged semicircular arch A, B and C of radii 5m, 7.5m and 10m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of

• A. $2:1\frac{1}{2}:1$
• B. $1:1\frac{1}{2}:2$
• C. $\text{None of these}$
• D. $1:1:2$

Answer 1

The correct option is C $\text{None of these}$



Horizontal thrust (H) developed due to point load W acting at crown in a two hinged semi circular arch of radius R is independent of its radius and is equal to

$H=\frac{W}{\pi }\left(Remember\right)$

Thus ratio of horizontal thrust of arch A, B and C of radii 5m, 7.5m and 10 m will be equal to

$H_A:H_B:H_C=1:1:1$