The diameter of the pin in a bushed pin type flexible coupling is to be increased for the purpose of

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ESE Mechanical 2016 Paper 2: Official Paper
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  1. Higher stress due to shear 
  2. Keeping the magnitude of bending moment small by reducing the unsupported length of the pin
  3. Fitting the pin in the bush
  4. Reducing the thickness of the flange

Answer (Detailed Solution Below)

Option 2 : Keeping the magnitude of bending moment small by reducing the unsupported length of the pin
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In case of rigid coupling the torque is transmitted by means of bolts, these bolts are capable of resisting shear or tensile stress, therefore the diameter of the bolts are comparatively less than that of flexible bush coupling.

In case of flexible bush coupling the torque is transmitted by means of force passing through the rubber bush. The permissible pressure between the rubber bush and cast iron flange is only 1 N/mm2. Therefore the diameter of the pin or pitch circle diameter of the pins is comparatively larger than that of rigid flange coupling. Flexible bush coupling either has greater number of bolts than rigid coupling or has larger bolt circle diameter than rigid coupling. This reduces the force acting on the bolts and lowers bearing pressure.
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