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WorksheetsGear Strength Design
Total questions: 6
Worksheet time: 2hrs 30mins
A steel spur pinion has a pitch of 6 teeth/in, 22 full-depth teeth, and a 20◦ pressure angle. The
pinion runs at a speed of 1200 rev/min and transmits 15 hp to a 60-tooth gear. If the face width
is 2 in, estimate the bending stress.
2544 psi
7633 psi
2520 psi
A steel spur pinion has a module of 1.25 mm, 18 teeth cut on the 20◦ full-depth system, and a
face width of 12 mm. At a speed of 1800 rev/min, this pinion is expected to carry a steady load
of 0.5 kW. Determine the resulting bending stress.
68.7 MPa
85.9 MPa
21.2 MPa
A steel spur pinion has a module of 1 mm and 16 teeth cut on the 20◦ full-depth system and is to
carry 0.15 kW at 400 rev/min. Determine a suitable face width based on an allowable bending
stress of 150 MPa.
10.64 mm
8.25 mm
12.54 mm
A gear drive consists of a 16-tooth 20◦ steel spur pinion and a 48-tooth cast-iron gear having a
pitch of 12 teeth/in. For a power input of 1.5 hp at a pinion speed of 700 rev/min, select a face
width based on an allowable contact stress of 100 kpsi.
0.6966 in
0.5969 in
0.6696 in
A gearset has a module of 5 mm, a 20◦ pressure angle, and a 24-tooth cast-iron spur pinion
driving a 48-tooth cast-iron gear. The pinion is to rotate at 50 rev/min. What horsepower input
can be used with this gearset if the contact stress is limited to 690 MPa and F = 60 mm?
3.69 kW
3.49 kW
3.94 kW
A 20◦ 20-tooth cast-iron spur pinion having a module of 4 mm drives a 32-tooth cast-iron gear.
Find the contact stress if the pinion speed is 1000 rev/min, the face width is 50 mm, and 10 kW
of power is transmitted.
690 MPa
617 MPa
588 MPa
