A square key is required for fixing a pulley on the shaft, which is $…

Previous year question for Machine Design.

Question

A square key is required for fixing a pulley on the shaft, which is $50\text{ mm}$ in diameter. The pulley transmits $10\text{kW}$ power at $200\text{ rpm}$ to the shaft. The key is made of steel $45\text{C8}$ ($\sigma_t=\sigma_c=380\text{N/mm}^2$) and the factor of safety is $3$. Determine the dimensions of the key. Assume $\sigma_s=0.577\sigma_t$.

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