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 27P
The shaft shown in the figure is proposed as a preliminary design for the application defined in Prob. 3-72, p. 152. The effective centers of the gears for force transmission are shown. The dimensions for the bearing surfaces (indicated with cross markings) have been estimated. The shaft rotates at 1200 rev/min, and the desired bearing life is 15 kh with a 95 percent reliability in each bearing, assuming distribution data from manufacturer 2 in Table 11-6. Use an application factor of 1.2.
Obtain a Basic Load Rating for a ball bearing at the right end.
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A straight gear with module m = 5 mm and face width bw = 40 mm has center distance cd = 0.1875m. The pinion has 25 teeth, the speed is 1000 rpm, and pressure angle ᶲ = 200. Find the Hertzian contact stress at the pitch point when the gear transmits 10 kW. Neglect friction forces. The gear steel has modulus of elasticity E = 207 GPa and a Poisson’s ratio of 0.30.
A 15 kW and 1200 r.p.m. motor drives a compressor at 300
r.p.m. through a pair of spur gears having
20° stub teeth. The centre to centre distance between the shafts
is 400 mm. The motor pinion is made
of forged steel having an allowable static stress as 210 MPa,
while the gear is made of cast steel
having allowable static stress as 140 MPa. Assuming that the
drive operates 8 to 10 hours per day
under light shock conditions, find from the standpoint of
strength,
1. Module; 2. Face width and 3. Number of teeth and pitch circle
diameter of each gear.
Check the gears thus designed from the consideration of wear.
The surface endurance limit may be
taken as 700 MPa
A 15 kW and 1200 r.p.m. motor drives a compressor at 300 r.p.m. through a pair of spur gears having 20° stub teeth. The centre to centre distance between the shafts is 400 mm. The motor pinion is made of forged steel having an allowable static stress as 210 MPa, while the gear is made of cast steel having allowable static stress as 140 MPa. Assuming that the drive operates 8 to 10 hours per day under light shock conditions, find from the standpoint of strength, 1. Module; 2. Face width and 3. Number of teeth and pitch circle diameter of each gear. Check the gears thus designed from the consideration of wear. The surface endurance limit may be taken as 700 MP
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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