(Solved): Question 1 [50 Marks] A torque T is applied to the shaft EFG, running at constant speed and contains ...

Question 1 [50 Marks] A torque

is applied to the shaft

, running at constant speed and contains gear

. Gear

transmits torque to shaft

through gear

, which drives the chain sprocket at

, transmitting a force

as shown. Sprocket

, gear

, and gear

have pitch diameters of

, and

, respectively. The contact force between the gears is transmitted through the pressure angle

. Assume no frictional losses and consider the bearings at

and

to be simple supports. A motor providing 2 kW is to operate at

. The gear unit is needed to reduce the motor speed by half to drive the chain. Specify appropriate numbers of teeth on gears

and

to minimize the size. Calculate the module be used for the stress analysis of the gear teeth for Gear F. Calculate the input torque applied to shaft EFG. Calculate the magnitudes of the radial, tangential, and total forces transmitted between gears F and C. Find factors of safety for bending and wear for gear

. Both gears are made from Grade 2 carburized and hardened steel. Use a face width of 4 times the circular pitch. The desired life is 12000 h with a 95 percent reliability.