A Three Hinged Arch is Loaded with an Isolated

Answer: A. 1250 kg

A three hinged arch is loaded with an isolated load 1000 kg at a horizontal distance of 2.5 m from the crown, 1 m above the level of hinges at the supports 10 meters apart. The horizontal thrust is 1250 kg.

Solution

Taking moment about point A is zero.

∑M_A=0

R_B×10=1000×2.5R⇒R_B=250 kg

So, R_A=250 kg

Taking moment about point C (from right) is zero.

H×1=250×5⇒H=1250 kg

Hence, Horizontal thrust is 1250 kg.

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