EML3018C Mechanical Systems II Spring, 2025 Homework 6 Due: Tuesday, March 25 1. A 53-tooth spur gear is in mesh with a 26-tooth pinion. The gears have a diametral pitch of 8 teeth/in, and a pressure angle of = 25°. The gears transmit 35 HP at 3200 pinion rpm. Find the factor of safety against bending failure for the pinion only. Assume that the teeth are full depth, Q₁ = 10, an a-8-f malleable iron gear, and a steel through hardened to ≤180 HB pinion. Assume a face width of 2.5 in, a 99.99% reliability, and a life of 9 × 108 cycles. 2. For the gear pair defined in problem 1, find the factor of safety against surface failure for the pinion only. 3. A 59-tooth spur gear is in mesh with a 29-tooth pinion. The gears have a module of 4 mm, and a pressure angle of =20°. The gears transmit 20 kW at 5000 pinion rpm. Find the factor of safety against bending failure for the gear only. Assume that the teeth are full depth, Q₁ = 9, an A-7-e nodular iron pinion, and a class 30 cast iron gear. Assume a face width of 65 mm, a 99.9% reliability, and a life of 8 × 109 cycles. 4. For the gear pair defined in problem 3, find the factor of safety against surface failure for the gear only.
EML3018C Mechanical Systems II Spring, 2025 Homework 6 Due: Tuesday, March 25 1. A 53-tooth spur gear is in mesh with a 26-tooth pinion. The gears have a diametral pitch of 8 teeth/in, and a pressure angle of = 25°. The gears transmit 35 HP at 3200 pinion rpm. Find the factor of safety against bending failure for the pinion only. Assume that the teeth are full depth, Q₁ = 10, an a-8-f malleable iron gear, and a steel through hardened to ≤180 HB pinion. Assume a face width of 2.5 in, a 99.99% reliability, and a life of 9 × 108 cycles. 2. For the gear pair defined in problem 1, find the factor of safety against surface failure for the pinion only. 3. A 59-tooth spur gear is in mesh with a 29-tooth pinion. The gears have a module of 4 mm, and a pressure angle of =20°. The gears transmit 20 kW at 5000 pinion rpm. Find the factor of safety against bending failure for the gear only. Assume that the teeth are full depth, Q₁ = 9, an A-7-e nodular iron pinion, and a class 30 cast iron gear. Assume a face width of 65 mm, a 99.9% reliability, and a life of 8 × 109 cycles. 4. For the gear pair defined in problem 3, find the factor of safety against surface failure for the gear only.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Transcribed Image Text:EML3018C
Mechanical Systems II
Spring, 2025
Homework 6
Due: Tuesday, March 25
1. A 53-tooth spur gear is in mesh with a 26-tooth pinion. The gears have a diametral pitch
of 8 teeth/in, and a pressure angle of = 25°. The gears transmit 35 HP at 3200 pinion
rpm.
Find the factor of safety against bending failure for the pinion only.
Assume that the teeth are full depth, Q₁ = 10, an a-8-f malleable iron gear, and a steel
through hardened to ≤180 HB pinion. Assume a face width of 2.5 in, a 99.99%
reliability, and a life of 9 × 108 cycles.
2. For the gear pair defined in problem 1, find the factor of safety against surface failure for
the pinion only.
3. A 59-tooth spur gear is in mesh with a 29-tooth pinion. The gears have a module of 4
mm, and a pressure angle of =20°. The gears transmit 20 kW at 5000 pinion rpm. Find
the factor of safety against bending failure for the gear only.
Assume that the teeth are full depth, Q₁ = 9, an A-7-e nodular iron pinion, and a class 30
cast iron gear. Assume a face width of 65 mm, a 99.9% reliability, and a life of 8 × 109
cycles.
4. For the gear pair defined in problem 3, find the factor of safety against surface failure for
the gear only.
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