advanced shaft design mechanics

A shaft is supported on bearings A and B, 800 mm between centres. A 20°

straight tooth spur gear having 600 mm pitch diameter, is located 200 mm to the right of the left hand

bearing A, and a 700 mm diameter pulley is mounted 250 mm towards the left of bearing B. The gear

is driven by a pinion with a downward tangential force while the pulley drives a horizontal belt

having 180° angle of wrap. The pulley also serves as a flywheel and weighs 2000 N. The maximum

belt tension is 3000 N and the tension ratio is 3 : 1. Determine the maximum bending moment and the

necessary shaft diameter if the allowable shear stress of the material is 40 MPa.