Does pulley diameter affect torsion in the axle?

[cahewstone]

Hi! if a pulley its transmiting Moment to and Axle, and the other side of the axle its fixed. Does the diameter of the Pulley, conected to the axle, affect the torsion the conections will have? For example, if the axle diameter its 10 cm, will a 50 cm diameter pulley, transmit more, less or the same torsion (and with that, shear force to the tranversal face of the fastening elements?) that a 1 meter diameter pulley, considering that they will be conected to the same torque.

My first answer would be that it doesn't affect, but looking at the torque formula I found in Hibbeler's book, I'm not so sure anymore. (p is distance from the center to a point, and c is the máximus distance)

 

[Chestermiller]

Please provide the exact word-for-word statement of the problem you are trying to solve, and also provide a sketch of the actual system involved.