Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780073398204
Author: Richard G Budynas, Keith J Nisbett
Publisher: McGraw-Hill Education
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Chapter 13, Problem 18P
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Problem 13–18
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a pinion has 56.716 teeth of 5.96mm module and runs at 2.265 rev/min with a torque of 39.961N.m. it meshes with a gear wheel which has 124.409 teeth. the gears operate with a pressure angle of 27.61 degrees and a contact ratio of 31.22. If the path of recess is 1.2 times the path of approach, determine the path of recess
A pickup truck is driving at a speed of 100 km/h on a leveled road. This truck has4 wheels of the same diameter of 400 mm and drives at a gear ratio of 5 to 1 ifits gearbox 5th gear is selected. The gear’s teeth are of involute form with amodule of 8 mm, an addendum is double the module, and the pressure angle isequal to 20°
.1.1. If the driving shaft of the front wheels of the truck is connected to the output shaftof the gearbox, determine the number of teeth on the pinion to avoid interferenceand the corresponding number of teeth on the gear wheel.
Two mating involute spur gears of 20 pressure angle have a gear ratio of 2. The number of teeth on the pinion is 20 and its speed is 250 r.p.m. The module pitch of teeth is 10 mm. If the addendum on each wheel is such that the path of approach and the path of recess on each side are half the maximum possible length cach, find: i) the addendum for pinion and gear wheel, i) the length of arc of contact, iiithe maximum velocity of sliding during approach and recess. Assume pinion to be driver.
Chapter 13 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
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 straight tooth spur pinion has a 19 tooth pinion rotating at a speed of 1640 rpm. The driven gear will be rotating at a speed of 480 rpm. If the module of the pinion is 2,5 mm and pressure angle is 25 degree; Evaluate the outer diameter (mm) of the gear. A) 158,125 B) 157,5 C) 160 D) 162,5 E) 160,625arrow_forwardA gear train as the one shown in problem 1. The gears have the following properties: N2 = 20 teeth and Pd = 10; d3 = 6 in.; d4 = 2 in., and Pd = 8; and N5 = 48 teeth. Determine the velocity of gear 5 as gear 2 drives at 1800 rpm counterclockwisearrow_forwardA three-stage automobile transmission is shown schematically. The number 6 crankshaft has an angular angle of 50 rad / s.Find the angular velocity (w1) of the drive shaft no. 1 as it rotates with speed [w6 = 50 rad / s]. Each of the spur gears has a fixedrotates around the axis. It should be noted that gears 6 and 5, 4 and 3, 2 and 1 engage each other.. Division Circle of Gearsdiameters d6 = 180mm; d5 = 60mm; d4 = 60mm; d3 = 100mm; d2 = 140mm and d1 = 120mm.arrow_forward
- A parallel-shaft gearset consists of an 18-tooth helical pinion driving a 32-tooth gear. The pinion has a left-hand helix angle of 20, a normal pressure angle of 25, and a normal module of 3 mm. Evaluate root diameter (mm) of the pinion. A) 51,21 B) 49,92 C) 50,00 D) 48,00 E) 52,08arrow_forwardTwo mating spur gear with module pitch of 6.5 mm have 19 ad 47 teeth of 20° pressure angle and 6.5 mm addendum. Determine the number of pair of teeth and angle turned through by the larger wheel for one pair of teeth in contact. Determine also the sliding velocity at the instant engagement commences engagement terminates. When the pitch line velocity is 1.2 m/s. b.) The number of teeth on each of the two spur gears in mesh is 40. The teeth have 20° involute profile and the module is 6mm. If the arc of contact is 1.75 times the circular pitch. Find the addendum.arrow_forwardEach of two gears in a mesh has 60 teeth and a module of 6 mm. The teeth are of involute profile. The arc of contact is 2.5 times the circular pitch. Determine the addendumarrow_forward
- A two-start worm gear that is rotating at 800 rpm drives a 26-tooth worm gear. The worm gear has a pitch diameter of [46] mm and a pitch of [14] mm. If coefficient offriction (u) is 0.06, (i) Determine the helix angle of worm gear. (ii) Determine the speed of gear. (iii) Compute the distance of gear. (iv) Identify the maximum gear efficiency of this transmission systemarrow_forwardTwo spur wheels with involute teeth gear together externally. The pitch circle diameters are 120 mm and 300 mm and the smaller wheel has 19 teeth. The pressure angle is 20o and the addendum is 0,3 of the circular pitch. Determine 1.1 The length of the arc of approach if the smaller wheel is the driver, and 1.2 The maximum velocity of sliding between the teeth when the driver rotates at 200 r/minarrow_forwardA synchronous belt drive system is used as a speed reducer. The input shaft rotates at 1000 rpm and has a 36-tooth sprocket with a pitch diameter of 3.609 in. The output shaft has a 72-tooth sprocket with a pitch diameter of 7.218 in. the center distance between the two shafts is 15.01 in. Determine the following for the belt drive: a. The velocity ratiob. The angular velocity of the output shaftc. The linear belt speedd. The belt wrap on the input and output sprocketse. The belt perimeter lengthf. Draw the schematic of the belt drive systemarrow_forward
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