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The horizontal thrust on the ends of a two hinged semicircular arch of radius ‘R’ carrying

A uniformly distributed load $$\omega $$ per unit run over its right half span, is $$\frac{2}{3}\frac{{\omega {\text{R}}}}{\pi }$$ A uniformly distributed load $$\omega $$ per unit run over its entire span is $$\frac{4}{3}\frac{{\omega {\text{R}}}}{\pi }$$ A distributed load varying from zero at the left end to $$\omega $$ per unit horizontal run at the right end, is $$\frac{2}{3}\frac{{\omega {\text{R}}}}{\pi }$$ All the above

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