Loose Leaf for Shigley's Mechanical Engineering Design Format: LooseLeaf
10th Edition
ISBN: 9780073399652
Author: BUDYNAS
Publisher: Mcgraw Hill Publishers
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Chapter 13, Problem 12P
To determine
The smallest acceptable full-depth pinion and gear tooth count to avoid interference.
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A pair of standard 20o full-depth spur gears has a module of 1 mm.
The driven gear has 30 teeth.
Determine the minimum number of teeth for the pinion so that the contact ratio is greater than 1.6.
Example:Design a compound gear train for an exact reduction ratio of 180:1
given:
ϕ =20o
Module: 4mm
Find the gear ratio, circular pitch, base pitch, pitch diameters, pitch radii, center distance, addendum, dedendum, whole depth, clearance of a gearset with the given parameters.
A diametral pitch is 6 teeth per inch, 20°-pressure-angle, 19-tooth pinion and a 37-tooth gear.
Assumptions: The tooth forms are standard AGMA full-depth involute profiles.
Chapter 13 Solutions
Loose Leaf for Shigley's Mechanical Engineering Design Format: LooseLeaf
Ch. 13 - A 17-tooth spur pinion has a diametral pitch of 8...Ch. 13 - A 15-tooth spur pinion has a module of 3 mm and...Ch. 13 - A spur gearset has a module of 6 mm and a velocity...Ch. 13 - A 21-tooth spur pinion mates with a 28-tooth gear....Ch. 13 - A 20 straight-tooth bevel pinion having 14 teeth...Ch. 13 - A parallel helical gearset uses a 20-tooth pinion...Ch. 13 - A parallel helical gearset consists of a 19-tooth...Ch. 13 - To avoid the problem of interference in a pair of...Ch. 13 - Prob. 9PCh. 13 - Prob. 10P
Ch. 13 - Prob. 11PCh. 13 - Prob. 12PCh. 13 - Prob. 13PCh. 13 - Prob. 14PCh. 13 - A parallel-shaft gearset consists of an 18-tooth...Ch. 13 - The double-reduction helical gearset shown in the...Ch. 13 - Shaft a in the figure rotates at 600 rev/min in...Ch. 13 - The mechanism train shown consists of an...Ch. 13 - The figure shows a gear train consisting of a pair...Ch. 13 - A compound reverted gear trains are to be designed...Ch. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - A gearbox is to be designed with a compound...Ch. 13 - The tooth numbers for the automotive differential...Ch. 13 - Prob. 26PCh. 13 - In the reverted planetary train illustrated, find...Ch. 13 - Prob. 28PCh. 13 - Tooth numbers for the gear train shown in the...Ch. 13 - The tooth numbers for the gear train illustrated...Ch. 13 - Shaft a in the figure has a power input of 75 kW...Ch. 13 - The 24T 6-pitch 20 pinion 2 shown in the figure...Ch. 13 - The gears shown in the figure have a module of 12...Ch. 13 - The figure shows a pair of shaft-mounted spur...Ch. 13 - Prob. 35PCh. 13 - Prob. 36PCh. 13 - A speed-reducer gearbox containing a compound...Ch. 13 - For the countershaft in Prob. 3-72, p. 152, assume...Ch. 13 - Prob. 39PCh. 13 - Prob. 40PCh. 13 - Prob. 41PCh. 13 - Prob. 42PCh. 13 - The figure shows a 16T 20 straight bevel pinion...Ch. 13 - The figure shows a 10 diametral pitch 18-tooth 20...Ch. 13 - Prob. 45PCh. 13 - The gears shown in the figure have a normal...Ch. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - The figure shows a double-reduction helical...Ch. 13 - A right-hand single-tooth hardened-steel (hardness...Ch. 13 - The hub diameter and projection for the gear of...Ch. 13 - A 2-tooth left-hand worm transmits 34 hp at 600...
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- A pair of external standard spur gear have the numbers of teeth Z1=18, Z2=40, module m=2mm. ha*=1, C*=0.25, α=20°，Calculate the radius of addendum ra1= ( ) mm，ra2= ( ) mm.arrow_forwardUsing the most compact design without gear tooth interference, determine the number of teeth and stages to produce a speed reduction of 42:1. Sketch the train and label each gear and its number of teeth. Assume a 25° pressure angle, full tooth.arrow_forwardFor a pair of standard gears, the module is m=2.5mm，pressure angle is α=20 0. ha*=1. c*=0.25. The teeth number on gear 1 is z1=22. The standard center distance is a=68.75mm. Calculate the contact ratio ε with the standard center distance a, 68.75mm. ε=( )arrow_forward
- Explain, with help of a sketch, the following gear tooth nomenclature:Addendum Dedundum Face width Tooth thickness Pitch Circle Involute profilearrow_forwardTwo equal spur gears of 48 teeth mesh together with pitch radii of 4.0 in. and addenda of 0.1670in. If the pressure angle is 14 1⁄2 deg, calculate the length of action and contact ratio.arrow_forwardTwo straight-toothed bevel gears mesh with a shaft angle of 90° and a diametral pitch of 5. The pinion has 20 teeth, and the gear ratio is 2:1. The addendum and dedendum are the same as for 20 stub teeth. For the gear, determine the pitch radius, cone angle, outside diameter, cone distance, and face width.arrow_forward
- What is the radial load exerted by the pinion on the gear? Report your answer in lbf.arrow_forwardPROBLEMS 1. A pair of parallel helical gears has 14.5° normal pressure angle, 6 diametral pitches and 45 helix angle. The pinion has 15 teeth and the gear 24 teeth. Calculate the transverse and normal circular pitch, the normal diameteral pitch, the pitche diameters, and the equivalent tooth numbers. 2. A pair of parallel helical gears are cut with a 20°normal pressure angle and a 30° helix angle. They are 16 diametral pitch have 16 and 40 teeth, respectively. Find the transverse pressure angle, the normal circular pitch, the axial pitch, and the pitch radii of the equivalent spur gears. 3. A parallel helical gears is made with a 20° transverse pressure angle and a 35° helix angle. The gears are 10 diameteral pitch and have 15 and 25 teeth. respectively. If the face width is 3/4 in, calculate the base helix angle and the axial contact ratio. 4. A helical pinion is right-hand, has 12 teeth, a 60° helix angle, and is to drive another gear at a velocity ratio of 3. The shafts are at a…arrow_forwardA 20⁰ stub involute gear, with 38 teeth and a circular pitch of 0.6 is paired with a pinion considering a gear ratio of 2.arrow_forward
- Compute and choose the nearest value of minimum number of teeth to be cut on the pinion in order to avoid interference with the help of following data: Pressure angle: 14.5o Pitch circle diameter of gear = 1500 mm Pitch circle diameter of pinion = 150 mm a. 30 b. 54 c. 18 d. 46arrow_forwardCan 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. 6arrow_forwardBe sure and don't use Ai. A 20 degree-pressure-angle, 22-tooth spur gear has a diametral pitch equal to 5. Calculate the dedendum in mmarrow_forward
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