Question

The horizontal thrust in a two hinged semi-circular arch subjected to UDL of w kN/m over left half span will be

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

Answer 1

The correct option is D $\frac{2}{3}\frac{wR}{\pi }$

For loading on entire span

$H=\frac{4}{3}\frac{wR}{\pi }$

$\therefore \text{For half-loading}$

$H=\frac{1}{2}\times \frac{4}{3}\frac{wR}{\pi }=\frac{2}{3}\frac{wR}{\pi }$