Design a muff coupling which is used to connect two steel shafts transmitting 40 kW at 350 rpm . The material for the shaft and key is plain carbon steel for which allowable shear stress and crushing stress may be taken as $40 \mathrm{~N} / \mathrm{mm}^{2}$ and $80 \mathrm{~N} / \mathrm{mm}^{2}$ respectively. The material for the castiron coupling for which the allowable shear stress may be assumed as $15 \mathrm{~N} / \mathrm{mm}^{2}$.
Explanation
The problem requires designing a muff coupling to connect two steel shafts transmitting 40 kW at 350 rpm. The material for the shaft and key is plain carbon steel, and the material for the cast iron coupling has an allowable shear stress of 15 N/mm^2. The diameter of the shafts is calculated using the power transmitted formula, and the key size is calculated using the formula for key strength. The diameter of the coupling is calculated using the formula for the area of the coupling.
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