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 10P
(a)
To determine
The smallest pinion tooth count that will run with itself.
(b)
To determine
The smallest pinion tooth count.
The largest gear tooth count with this pinion.
(c)
To determine
The smallest pinion that will run with a rack.
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For a spur gearset with o = 20°, while avoiding interference, find:
(a) The smallest pinion tooth count that will run with itself
(b) The smallest pinion tooth count at a
sible with this pinion
%3D
ratio
mG
2.5, and the largest gear tooth count pos-
%3D
(c) The smallest pinion that will run with a rack
The following data refer to two meshing involute gears of 20° pressure angle: Number of teeth on pinion 20,
speed ratio = 2, speed of pinion = 250 rpm, module = 12 mm The addendum of each wheel is such that the path of
approach and path of recess on each side are half of the maximum possible length. 1) Illustrate the value of
addendum for both wheels, 2) Identify the length of arc of contact, and, 3) Formulate the free body diagrams for
wheels in connection.
Design a compound gear train with a +120:1 ratio and diametral pitch of 5
teeth/inch. Assume ø= 20° and avoiding interference between pinion and gear; i.e.,
use Table 9-5a page 495. Draw a front-view using circle template or compass and a
top-view using a ruler.
N2 = 15T
N3 = 30T
N4 = 15T
N5 = 45T
N6 = 16T
N7 = 64T
Ng = 16T
N9 = 80T
Answer:
d2 = 3"
d3 = 6"
d4 = 3"
ds = 9"
do = 3.2"
d7 = 12.8"
dg = 3.2"
d9 = 16"
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Two involute gears of 20° pressure angle are in mesh. The number of teeth on pinion is 20 and the gear ratio is 2. If the pitch expressed in module is 5 mm and the pitch line speed is 1.2 m/s, assuming addendum as standard and equal to one module, find : 1. The angle turned through by pinion when one pair of teeth is in mesh ; and 2. The maximum velocity of sliding.arrow_forward(a) Two involute gears of_ pressure angle are in mesh. The number of teeth on pinion is 20 and the gear ratio is_. If the pitch expressed in module is 5 mm and the pitch line speed is_m/s, assuming addendum as standard and equal to one module, find : 1. The angle turned through by pinion when one pair of teeth is in mesh 2. The maximum velocity of sliding. D=300 G= 2 V=1.4m/secarrow_forwardThe client requires a single step-up spur gearbox to transmit a 10 kW power from a shaft rotating at 1000 rpm, while the output speed must be 1700 rpm. The material for gear and pinion is 817M40 and 655M13, respectively. Use table 6.10 on page 128 to select the suitable gear and pinion. If the pinion has 20 teeth, use the Lewis formula to determine the face width of thepinion and gear. Then, do one set of calculations and tabulate the answers.arrow_forward
- A simple gear train of 30 and 50 teeth for pinion and gear wheel respectively, is used to drive an electric wheelchair at a velocity that is double the maximum velocity of slip. The pinion has an equal addendum as the gear wheel, a module of 3 mm, and a pressure angle of 14.5o. The wheelchair has a maximum velocity of 5 m/s when its pinion rotates at 800 r.p.m. Calculate The contact ratio.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 1,795 rpm. Calculate the pinion axial force in lbf.arrow_forwardA parallel helical gear set of 19 tooth pinion is driving a 57 tooth gear. The helix angle of 20 degrees while the normal pressure angle is 14.5 degrees and the normal diametral pitch of 10 teeth/inch. If the pinion is rotating at 1800rpm and transmits 50hp, find the normal force. Please answer in detailed solution.arrow_forward
- A simple gear train of 30 and 50 teeth for pinion and gear wheel respectively, is used to drive an electric wheelchair at a velocity that is double the maximum velocity of slip. The pinion has an equal addendum as the gear wheel, a module of 3 mm, and a pressure angle of 14.5o. The wheelchair has a maximum velocity of 5 m/s when its pinion rotates at 800 r.p.m. Calculate The addendum of the gears in mm.arrow_forwardA 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; Calculate the module (mm) of the gear.arrow_forwardFind the length of the path of contact when a pinion with 18 teeth meshes with internally toothed gear with 22 teeth, when the pressure angle is 20°, the diametral pitch is 0.16 and the addendum of pinion and gear are 7 mm and 3 mm respectively.arrow_forward
- 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.arrow_forwardExJA 20° straight-tooth bevel pinion having 14 teeth and a diametral pitch of 6 teeth/inch drives a 32-tooth gear. The two shafts are at right angles and in the same plane. The pinion is to transmit 1800 rpm and transmitting 50 hp. Find: a) the cone distance; b) the pitch cone angles; c) the pitch diameters; and d) the tooth loads of the pinion. Solution: (To be discuss during the lecture period)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
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