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 35P
The worm shaft shown in part a of the figure transmits 1.2 hp at 500 rev/min. A static force analysis gave the results shown in part b of the figure. Bearing A is to be an angular-contact ball bearing selected from Table 11-2, mounted to take the 555-lbf thrust load. The bearing at B is to take only the radial load, so an 02-series cylindrical roller bearing from Table 11-3 will be employed. Use an application factor of 1.2, a desired life of 30 kh, and a combined reliability goal of 0.99, assuming distribution data from manufacturer 2 in Table 11-6. Specify each bearing.
Problem 11-35,
(a) Worm and worm gear, (b) force analysis of worm shaft, forces in pounds.
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The worm shaft shown in part a of the figure transmits 1.2 hp at 500 rev/min. A static force
analysis gave the results shown in part b of the figure. Bearing A is to be an angular-contact ball
bearing selected from Table 11–2, mounted to take the 555-lbf thrust load. The bearing at B is
to take only the radial load, so an 02-series cylindrical roller bearing from Table 11–3 will be
employed. Use an application factor of 1.2, a desired life of 30 kh, and a combined reliability
goal of 0.99, assuming distribution data from manufacturer 2 in Table 11-6. Specify each
Wom pitch cylinder
Gear pitch cylinder
(a) Worm and wom gear,
h) force analysis of wom shaft
krces in pounds.
595
72
35
145
bearing.
A gear-reduction unit uses the countershaft depicted in the figure. Find the two bearing reactions.The bearings are to be angular-contact ball bearings, having a desired life of 60 kh when used at 330 rev/min. Use 1.2 for the application factor and a reliability goal for the bearing pair of 0.92
Figure below shows a portion of a pump that is gear-driven at uniform load and speed. The 25 mm diameter solod shaft supported by
the bearings is to be made of machined AISI 1045 CD steel. The helical gear is subjected to the axial force F =499 y a radial
load F = 741 N and a tangential load of F=2,006 N. Assume the component is operating at room temperature of 70°F and the
material has 50% reliability factor.
25-mm solid
Bending K, = 2.0
round shaft Fillet Torsional K = 1.5
F.
F,
Axial K, = 1.8
F
Pump
Helical
spur gear
50 mm
-250-mm dia.-
FIGURE
1. Identify the critical location(s) of stress and show it clearly in a diagram.
2. Identify cleary, all the components of stresses (at the critical point) that will be calculated (by drawing and clearly showing
the XYZ axes) and show it in a matrix form. Show which components of stresses will have a value zero or non-zero.
3. Calculate the principal stresses and principal directions. Show the principal stresses clearly in a stress element…
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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