SHIGLEY'S MECHANICAL ENGR DESIGN (LL)
10th Edition
ISBN: 9781308945446
Author: BUDYNAS
Publisher: MCG/CREATE
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Question
Chapter 13, Problem 14P
To determine
The smallest possible pressure angle on pinion to avoid interference.
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Two spur gears are to have a ratio of 9:3 and a 7mm module. If the center distance is to be approximatively 200mm, calculate the following:o Circular pitch value;o Number of teeth on the wheel (gear);o Number of teeth of the pinion;
The following data relate to two meshing gears:
Velocity ratio =1:3;Module: 4mm; Pressure Angle: 20°; Center distance: 200 mm
Determine the number of teeth and the base circle radius of the gear wheel.
A four-speed sliding gear
box of an automobile is to
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is 90 mm. The teeth have a module of 4 mm. No
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Chapter 13 Solutions
SHIGLEY'S MECHANICAL ENGR DESIGN (LL)
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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- 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 isarrow_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_forwardWhat is the minimum clearance allowed for meshing spur gears with diametral pitch of 20? The spur gear has 25 teeth.arrow_forward
- A pair of helical gears are machined with a hob. The hob has a 20 degree pressure angle and machines circular pitch of 0.55 inch/tooth on a spur gear. Two gears are machined, the pinion has 18 teeth and the gear has 36 teeth. The measured transverse diametral pitch on the pinion is 5 inch/tooth. The pinion transmits 10 hp at 1,000 rpm. Calculate the helix angle of the gearset, in degrees.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_forward2. 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.arrow_forward
- Two Standard spur gears have a diametral pitch of 10, a pressure angle of 20°, and a velocity ratio equal to 3.5 : 1. The center distance is 8.55 inch. Two helical gears are to be used to replace the two spur gears such that the center distance and angular velocity ratio remain unchanged. The helical gears are also to be cut with the same hob as that used to cut the spur gears. Determine the helix angle, tooth numbers, and minimum face width for the new gears if the helix angel is kept to a minimum.arrow_forwardTwo meshing spur gears with 20 pressure angle have a module of 4 mm. The centre distance is 220 mm and the number of teeth on the pinion is 40. What should be the new centre distance so that pressure angle is increased to 22°? (Ans. 221.9 mm).arrow_forwardIn a compound train of gears spur gear 1, with 40 teeth and rotating at 15 rpm, drives a pinion 6 with 15 teeth at 300 rpm across two intermediate spindles. The first intermediate has gears 2 and 3 and the second carries gears 4 and 5. Gear 2 gearing with gear 1 while 3 gearing with gear 4 and 5 gearing with gear 6. If gears 2, 4 and 5 have 20, 15 and 30 teeth respectively, calculate the number of teeth on gear 3.arrow_forward
- Two 20° involute spur gears have a module of 12 mm. The addendum is equal to 1.5 module. If the larger gear has 40 teeth and the pinion has 20 teeth, find the pressure angle at which interference canbe avoided.arrow_forwardA pair of helical gears are machined with a hob. The hob has a 20 degree pressure angle and machines circular pitch of 0.55 inch/tooth on a spur gear. Two gears are machined, the pinion has 18 teeth and the gear has 36 teeth. The measured transverse diametral pitch on the pinion is 5 inch/tooth. The pinion transmits 10 hp at 1,000 rpm. Calculate the center distance of the gearset, in inchesarrow_forwardA 21-tooth spur pinion mates with a 28-tooth gear. The diametral pitch is 3 teeth/in and the pressure angle is 20°. Make a drawing of the gears showing one tooth on each gear. Find and tabulate the following results: the addéndum, dedendum, clearance, circular pitch, tooth thick- ness, and base-circle diameters; the lengths of the arc of approach, recess, and action; and the base pitch and contact ratio.arrow_forward
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