A 50-tooth spur gear is in mesh with a 27-tooth pinion. The gears have a diametral...

A 50-tooth spur gear is in mesh with a 27-tooth pinion. The gears have a diametral pitch of 5 teeth/in, and a pressure angle of φ = 25°. The gears transmit 80 HP at 4000 pinion rpm.

Find the factors of safety against bending and surface failure. Assume that the teeth are full depth, Qv = 10, a through hardened to 360 HB steel gear, and a carburized and case hardened steel pinion. Assume a face width of 3.0 in, a 99.9% reliability, and a life of 9 5 10 × cycles.

Expert Solution

Note - Standard AGMA tables have been used and please give feedback. I used AGMA table from Norton book but the tables are standard and can be found online. These tables are used by me to calculate the factors.

samet mamat answered 2 years ago

A 24-tooth spur gear is to drive a 12-tooth spur gear. For both gears, the diametral pitch is 24 tooth/in.

A 24-tooth spur gear is to drive a 12-tooth spur gear. For both gears, the diametral pitch is 24 tooth/in. The gears are cut on the 20° full-depth involute system. Find and tabulate the addendum, dedendum, clearance, circular pitch, base pitch, tooth thickness at the pitch circle, pitch diameters, base circle radii, and contact ratio.

15.33 A spur gear reducer has an 18-tooth pinion driven 1500 rpm by an electric motor...

15.33 A spur gear reducer has an 18-tooth pinion driven 1500 rpm by an electric motor and a 36-tooth gear that drives a load involving “moderate shock.” A life of 106 pinion revolutions is required, and the transmitted load, Ft, is 100 lb (this figure includes a safety factor of 2). Conditions are such that Km = 1.8 and kt = 1. It is proposed that standard 20° full-depth gears be used, with both pinion and gear teeth being cut...

One method in which gear tooth interference can be avoided is to lengthen the pinion teeth...

One method in which gear tooth interference can be avoided is to lengthen the pinion teeth and shorten the gear teeth. A 12 tooth pinion with a diametral pitch of 2 teeth/in and a pressure angle of (φ = 20°) is to be meshed with a 60 tooth gear at a center distance of 18 inches. Calculate the maximum addendum length of the gear teeth if there is to be no interference. Then calculate the addendum length of the pinion...

A stock steel spur pinion has a diametral pitch of pd=8 teeth/in, a 1.5 in. face,...

A stock steel spur pinion has a diametral pitch of pd=8 teeth/in, a 1.5 in. face, 26 full-depth teeth, and a pressure angle of Φ = 20°. If the pinion is driven against a 55-tooth steel gear at 1200 RPM by a 7 hp electric motor, determine the bending stresses and surface stresses in the pinion.

Question One A quality department is planning to inspect a shipment of 120 spur-gears. The quality...

Question One A quality department is planning to inspect a shipment of 120 spur-gears. The quality engineer has decided to use a sample size of 10 products. If the number of nonconforming products in the shipment is expected to be seven products, help in finding the below: (a) The number of samples contains a maximum of two nonconforming products. (b) The number of samples contains a minimum of four conforming products. (c) The number of samples contains ten conforming products

The output shaft of a 120 Watt electric motor has a 20° full-depth steel spur pinion...

The output shaft of a 120 Watt electric motor has a 20° full-depth steel spur pinion with 20 teeth and a module of 2.5 mm driving a 36-tooth gear attached to an air blower. The pinion speed is 100 rpm. Both the pinion and gear are manufactured from grade 2 steel using hobs shaping cutters, have a 18mm wide face, through-hardened steel at 200 Brinell, and are aligned in service such that kH = 1.6. For a service life of...

What is diametral pitch, and why is it an important parameter in a gear mesh?

A power train application requires the coupling of a spur gear to a transmission shaft operating...

A power train application requires the coupling of a spur gear to a transmission shaft operating at 3600RPM. The coupling must sustain a mean torque loading of 215Nm. There is a 20% torque ripple introduced to the drive line from the load. Select and design a coupling system using either a keyed coupling or an interference coupling such that the section of the transmission shaft at that location is minimized. Assume that the gear is located at the midpoint of...

A pair of gears with 25?, full-depth, involute teeth transmits 125 hp while the pinion rotates...

A pair of gears with 25?, full-depth, involute teeth transmits 125 hp while the pinion rotates at 2500 rpm. The diametral pitch is 4, and the quality number is A9. The pinion has 32 teeth and the gear has 76 teeth. The face width is 1.5 in. The input power is from a multicylinder gasoline engine, and the drive is for a low speed water pump. The drive is a commercial enclosed gear unit. Specify suitable materials for the pinion...

Explain in your own words how would you inspect a Steering gear or rack and pinion...

Explain in your own words how would you inspect a Steering gear or rack and pinion power steering system leak? Name as many causes for leaks that you can think of. Thank you in advance!

Question