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(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

T

is applied to the shaft

EFG

, running at constant speed and contains gear

F

. Gear

F

transmits torque to shaft

ABCD

through gear

C

, which drives the chain sprocket at

B

, transmitting a force

P

as shown. Sprocket

B

, gear

C

, and gear

F

have pitch diameters of

a=150,b=250

, and

c=125mm

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

\phi =20\deg

. Assume no frictional losses and consider the bearings at

A,D,E

and

G

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

191re(v)/(m)in

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

F

and

C

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

F

. 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.



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