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GATE Mechanical 2024 | Question: 48

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A three-hinge arch $\text{ABC}$ in the form of a semi-circle is shown in the figure. The arch is in static equilibrium under vertical loads of $\text{P}=100 \mathrm{kN}$ and $\text{Q}=50 \mathrm{kN}$. Neglect friction at all the hinges. The magnitude of the horizontal reaction at $\text{B}$ is __________ $\mathrm{kN}$ (rounded off to $1$ decimal place).

 

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