PART 2 (a) Your company is thinking of replacing a pair of cast iron gears with grade 2 through hardened steel gears. The life of the pinion is 10^9 cycles. Assuming all operating conditions stay the same, determine the most cost-effective ($/cu. ft.) option between the iron and steel gears based on AGMA contact stress analysis only. Performance between the two options should be the same. (40 points) The hardness of the cast iron gears is HB-225, Sc (350 HB) psi The cost of cast iron is ($0.075+ $0.0015*HB) per lb. The density of cast iron is 430 lbs./cu. ft. The cost of the Steel is ($0.01+$0.001*HB) per lb. The density of steel is 460 lbs./cu. ft. (b)-Complete separately from part (a). In a second instance you are told that the bending stress is too high for your gear pair to reach an appropriate safety factor for operation. State one change that you could make to your gear designs that would reduce the stress. Explain the changes and their effects on performance. You do not need to calculate anything for this question. (10 points)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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How would I solve part B?
PART 2
(a)
Your company is thinking of replacing a pair of cast iron gears with grade 2 through hardened steel
gears. The life of the pinion is 10^9 cycles. Assuming all operating conditions stay the same, determine
the most cost-effective ($/cu. ft.) option between the iron and steel gears based on AGMA contact
stress analysis only. Performance between the two options should be the same. (40 points)
The hardness of the cast iron gears is
HB-225, Sc (350 HB) psi
The cost of cast iron is
($0.075+ $0.0015*HB) per lb.
The density of cast iron is
430 lbs./cu. ft.
The cost of the Steel is
($0.01+$0.001*HB) per lb.
The density of steel is
460 lbs./cu. ft.
(b)-Complete separately from part (a).
In a second instance you are told that the bending stress is too high for your gear pair to reach an
appropriate safety factor for operation. State one change that you could make to your gear designs that
would reduce the stress. Explain the changes and their effects on performance. You do not need to
calculate anything for this question. (10 points)
Transcribed Image Text:PART 2 (a) Your company is thinking of replacing a pair of cast iron gears with grade 2 through hardened steel gears. The life of the pinion is 10^9 cycles. Assuming all operating conditions stay the same, determine the most cost-effective ($/cu. ft.) option between the iron and steel gears based on AGMA contact stress analysis only. Performance between the two options should be the same. (40 points) The hardness of the cast iron gears is HB-225, Sc (350 HB) psi The cost of cast iron is ($0.075+ $0.0015*HB) per lb. The density of cast iron is 430 lbs./cu. ft. The cost of the Steel is ($0.01+$0.001*HB) per lb. The density of steel is 460 lbs./cu. ft. (b)-Complete separately from part (a). In a second instance you are told that the bending stress is too high for your gear pair to reach an appropriate safety factor for operation. State one change that you could make to your gear designs that would reduce the stress. Explain the changes and their effects on performance. You do not need to calculate anything for this question. (10 points)
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