A spur gear reducer has a 20-tooth pinion driven by a 1200 rpm electric motor and a 38-toothgear that drives a load. The system is designed to run 5 days/week, 8 hours/day for 5 years. Thetransmitted load, Wt is 3700 Newtons. It is proposed that standard 20° full-depth gears be used,with both pinion and gear teeth being cut with a low-cost, average quality, form-cutting processfrom steel of 235 Brinell hardness for the gear and 260 Brinell hardness for the pinion (seeequation 2-36 to estimate ultimate strength). The module of the gears is 2.5 and the face width is25 mm. Using the Goodman approach of Chapter 6, which is similar to, but not exactly the sameas Example 14-2, estimate the reliability for a factor of safety of 1 with respect to bendingfatigue failure of both the gear and the pinion. Use a Marin factor K₁= 1, not 1.66 as in Example14.2, and the modified Goodman approach for fluctuating stress. Also, estimate the stressconcentration factor using Figure A-15-6 as was done in Example 14.2. In your reflectioncompare this to the K₂ you would get from equation 14-9. Use the modified Lewis bendingequation.

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Answered: A spur gear reducer has a 20-tooth…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A pair of steel gears have a design life of a million cycles. They have 20° full-depth teeth with a diametral pitch of 8. Both gear and pinion are made of steel heat-treated to 350 Bhn, and both have a face width of 1.0 in. The teeth are machined with the highest quality hobbing operation. The pinion has 35 teeth and rotates 2000 rpm. The gear diameter over pinion diameter ratio is 2. The gears stay below a temperature of 140 °F. Assume a mounting correction factor of Km = 1.6 and an overload factor of Ko = 1. Use a reliability of 99.9% and a safety factor of 1.5. Use the pinion for the bending fatigue calculations and assume that there is no load sharing. A. What is the fatigue strength for these conditions. B. What is the tangential force acting on the gear teeth? C. Estimate the horsepower that can be transmitted, based only on bending fatigue.
A transmission system with a pair of beveled gears has the following data: 25° gear angle, 20° full depth involute system pressure angle, 5 in standard diametral pitch, both minion and gear are made of SAE 1040 steel and have a surface width of 3 in. If the number of pinion teeth is 20 and rotates at a speed of 2026 rpm so that the speed ratio becomes 1:5, then calculate how much HP power the system can safely transmit by a pair of inclined gears. To determine the maximum HP power that can be transmitted: (a) Using the modified Lewis and Buckingham equations, and(b) The AGMA method is based on strength only and uses the gear table to determine the required factors
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speed reduction gear box consist of an SAE 4140 steel pinion mounted to a shaft on a 30 HP, 1750 rpm electric motor. The pinion drives a cast steel (with 0.25% carbon) gear with a speed reduction of 5:1. Assuming 20 degrees involute stub teeth and 16 teeth pinion, determine the pitch diameters. A. 2.67, 13.35 in B. 3.23, 15.43 in C. 2.50, 16.61 in D. 2.45, 20.11 in
A spur gear reducer is to transmit 4 kW at 1500 rpm of the pinion of cast steel ( So=138 MPa). The gear is made from phosphor bronze (So=83 MPa). The velocity ratio is 3.5 to 1.0. Assume a pressure angle of 20°. Design the gears for strength only.
Q1:- A pair of spur gears with 12 and 20 teeth are made with an involute form, pressure angle 20° and 5 mm module. (a) What should be the maximum addendum for the 20-tooth gear such that the interference is just avoided? (b) Using the addendum for the gear, find the addendum of the pinion which will result in a contact ratio of 1.4.
Two identical involute, spur gears are in mesh. The module is 4 mm and each gear has 22 teeth If the operating pressure angle is 20° The minimum value of addendum needed to ensure continuous transmission of motion is
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2. A double reduction gear assemble is mounted on three parallel shafts located on the same horizontal plane. Shaft A is driven from a 2-kW source, the pinion on shaft A has 20 teeth and meshes with a gear on shaft B. Another pinion on the shaft B is in mesh with a gear on shaft C with 150 teeth. The centerline distance between shaft A and shaft C is 160 times the module. The overall gear train ratio is 15:1. Assume module for all gear are the same. Determine the number of teeth on gears at shaft B.. Note: Draw the gear arrangement for Problem No. 2.
Can someone help please. Thanks. Devise a gear train for a machine system with the following data. Input speed ni = 2500 rpm and the output speed must be between 90 rpm and 110 rpm. Use 20 o , full depth, involute teeth with diametral pitch Pd = 28. All the pinions should have exact number of teeth NP = 18 and the gear diameters should not exceed DG = 2.0 in. In your solution use the equal reduction ratio approach. 6
(b) Determine the safe power which can be transmitted by a pair of helical gears, 20° full depth, 25° helix angle having normal module of 5 mm. Both the pinion and the gear are made of forged C-30 steel for which the safe bending stress is 175 MPa and BHN = 150. The meshing gears have face width of 76-2 mm. The pinion speed is 2000 rpm and it has 20 teeth. The velocity ratio is 5: 1. Assume any missing data. %3D
What is the dynamic factor, Kv?

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