Question

A three-hinged semi-circular arch of radius R carries a concentrated load W at the crown. Horizontal thrust acting on the arch at the hinge would be

• A. $\frac{W}{2\pi }$
• B. $\frac{W}{2}$
• C. $\frac{2}{3}W$
• D. $\frac{4}{3}\frac{W}{\pi }$

Answer 1

The correct option is B $\frac{W}{2}$


The vertical reaction at both supports is W/2. Taking moment about crown for any half portion of the arch.

$H=V_A=V_B=\frac{W}{2}$