Answered: Pitch characteristics

Engineering

Mechanical Engineering

Pitch characteristics

Precision Machining Technology (MindTap Course List)

2nd Edition

ISBN:9781285444543

Author:Peter J. Hoffman, Eric S. Hopewell, Brian Janes

Publisher:Peter J. Hoffman, Eric S. Hopewell, Brian Janes

Chapter6: Milling

Section6.4: Indexing And Rotary Table Operations

Problem 7RQ: What is the gear ratio found in the gear train of most indexing heads?

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Pitch characteristics

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Ex. #1] Given a gear of 16 teeth, 4 diametral pitch. The dedendum equals 1/P, inch, the clearance is to be one-eight of the addendum, and the backlash is to be 2 percent of the circular pitch. Calculate the following, giving the results to 3 decimal places: a) the pitch diameter; b) the addendum and dedendum diameter; c) the whole depth; d) the backlash; e) the tooth thickness; and f) the space width. Given: A spur gear T = 16 teeth Backlash = 0.02 P Add = 1/Pd Clearance = (1/8) addendum Required: Determine the a) D, b) Add and Ded diameters, c) whole depth, d) backlash, e) tooth thickness, f) space width. Solution: (To be discussed during the lecture period)
1) A 20°, 24-tooth gear has AGMA standard full-depth involute teeth with diametral pitch of 5. Calculate the pitch diameter, circular pitch, addendum, dedendum, standard face width and base circle diameter. 2) Two mating internal 10-pitch, spur gears have 16 and 86 teeth. Determine the center distance. 3) Two mating external 8-pitch, 20o , spur gears have 24 and 64 teeth. Determine the contact ratio. 4) Two mating 20°, 8-pitch, spur gears have 14 and 42 teeth. Will they interfere? 5) A pair of 20°, mild-steel gears are to be selected for an application where they need to transfer 5 hp. The pinion drives at 1800 rpm and the gear must rotate as close to 480 rpm as possible. Select a set of gears to accomplish this task. a) Determine a suitable diametral pitch and pressure angle. b) Use the required velocity ratio to iterate and determine appropriate number of teeth (confirm that these gears are commercially available). c) Calculate the pitch diameters and center distance.