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 11, Problem 44P
The gear-reduction unit shown has a gear that is press fit onto a cylindrical sleeve that rotates around a stationary shaft. The helical gear transmits an axial thrust load T of 250 lbf as shown in the figure. Tangential and radial loads (not shown) are also transmitted through the gear, producing radial ground reaction forces at the bearings of 875 lbf for bearing A and 625 lbf for bearing B. The desired life for each bearing is 90 kh at a speed of 150 rev/min with a 90 percent reliability. The first iteration of the shaft design indicates approximate diameters of
Problem 11–44
(Courtesy of The Timken Company.)
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The figure shows a pair of shaft-mounted spur
gears having a module of 5 mm with an 18-tooth
20° pressure angle pinion driving a 45-tooth gear.
The power input is 24 kW at 1800 rev/min
counterclockwise into the pinion. Find the
direction and magnitude of the forces acting on
the shafts a and b.
SOLUTION:
The gear-reduction unit shown has a gear that is press fit onto a cylindrical sleeve that rotates
around a stationary shaft. The helical gear transmits an axial thrust load T of 1000 N as shown in the
figure. Tangential and radial loads (not shown) are also transmitted through the gear, producing radial
ground reaction forces at the bearings of 3200 N for bearing A and 2400 N for bearing B. The desired
life for each bearing is 100 kh at a speed of 180 rev/min with a 90 percent reliability. The first iteration
of the shaft design indicates approximate diameters of 30 mm at A and at B.
Select suitable tapered roller bearings.
B
Problem 4. A 16-tooth 240 Bhn steel spur pinion having a pressure angle of 20° and rotating at 720 rev/min
drives a 28-tooth 240 Bhn steel gear having a 2.5 -in face and a diametral pitch of 5 teeth/in. Find the factor of
safety of this drive based on bending strength if 17.5 hp is transmitted. Use Ko=Ks=1, Km=1.6 and Qv=7.
Chapter 11 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 11 - Manufacturer Rating Life, Revolutions Weibull...Ch. 11 - Manufacturer Rating Life, Revolutions Weibull...Ch. 11 - Manufacturer Rating Life, Revolutions Weibull...Ch. 11 - Problems 112 and 113 raise the question of the...Ch. 11 - Prob. 5PCh. 11 - Manufacturer Rating Life, Revolutions Weibull...Ch. 11 - Two ball bearings from different manufacturers are...Ch. 11 - 11-8 to 11-13 For the bearing application...Ch. 11 - 11-8 to 11-13 For the bearing application...Ch. 11 - 11-8 to 11-13 For the bearing application...
Ch. 11 - 11-8 to 11-13 For the bearing application...Ch. 11 - 11-8 to 11-13 For the bearing application...Ch. 11 - 11-8 to 11-13 For the bearing application...Ch. 11 - A countershaft carrying two V-belt pulleys is...Ch. 11 - A countershaft carrying two V-belt pulleys is...Ch. 11 - A countershaft carrying two V-belt pulleys is...Ch. 11 - A countershaft carrying two V-belt pulleys is...Ch. 11 - For the shaft application defined in Prob. 3-77,...Ch. 11 - For the shaft application defined in Prob. 3-79,...Ch. 11 - An 02-series single-row deep-groove ball bearing...Ch. 11 - An 02-series single-row deep-groove ball bearing...Ch. 11 - 11-22 to 11-26 An 02-series single-row deep-groove...Ch. 11 - 1122 to 1126 An 02-series single-row deep-groove...Ch. 11 - 1122 to 1126 An 02-series single-row deep-groove...Ch. 11 - 1122 to 1126 An 02-series single-row deep-groove...Ch. 11 - 1122 to 1126 An 02-series single-row deep-groove...Ch. 11 - The shaft shown in the figure is proposed as a...Ch. 11 - Repeat the requirements of Prob. 11-27 for the...Ch. 11 - The shaft shown in the figure is proposed as a...Ch. 11 - Repeat the requirements of Prob. 11-29 for the...Ch. 11 - Shown in the figure is a gear-driven squeeze roll...Ch. 11 - The figure shown is a geared countershaft with an...Ch. 11 - The figure is a schematic drawing of a...Ch. 11 - A gear-reduction unit uses the countershaft...Ch. 11 - The worm shaft shown in part a of the figure...Ch. 11 - In bearings tested at 2000 rev/min with a steady...Ch. 11 - A 16-tooth pinion drives the double-reduction...Ch. 11 - Estimate the remaining life in revolutions of an...Ch. 11 - The same 02-30 angular-contact ball bearing as in...Ch. 11 - A countershaft is supported by two tapered roller...Ch. 11 - For the shaft application defined in Prob. 3-74,...Ch. 11 - For the shaft application defined in Prob. 3-76,...Ch. 11 - Prob. 43PCh. 11 - The gear-reduction unit shown has a gear that is...
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