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 14P
A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with the belt tensions shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Assume the belt tension on the loose side at B is 15 percent of the tension on the tight side.
11-14* to 11-17* For the problem specified in the table, build upon the results of the original problem to obtain a Basic Load Rating for a ball bearing at C with a 95 percent reliability, assuming distribution data from manufacturer 2 in Table 11-6. The shaft rotates at 1200 rev/min, and the desired bearing life is 15 kh. Use an application factor of 1.2.
| Problem Number | Original Problem, Page Number |
| 11-14* | 3-68, 151 |
| 11-15* | 3-69, 151 |
| 11-16* | 3-70, 151 |
| 11-17* | 3-71, 151 |
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Required information
A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with
the belt tensions shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Assume the belt
tension on the loose side at 8 is 15 percent of the tension on the tight side. Given: T41-550 lbf, T42=82.5 lbt, d4 = 6 in.
dg=7.5 in, and dshaft = 1.292 in.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part
TAI
YAS
A(DA)
dshaft
B(da)
Determine the tensions in the belt on pulley 8, assuming the shaft is running at a constant speed
The tension on the loose side of the belt ot Bis
lbf.
The tension on the tight side of the belt at Bis
lbf.
Given:
Correction factor f = 0.92,
load factor k = 1.2
V-belt profile bxh = 20x12,
H = 0.25
For pulleys d01 = 167 mm,
d02 = 668 mm
Efficiency for belt-pulley
n1 = 0.91
Total efficiency for
gearbox nmin = 0.95
belt-pulley system is (a) 650 mm, using
the figure given according to the belt
speed and belt width and using the
following data;
Q1. Find the forces in the
stretched and loose belt
arms.
The figure 1 shows a pulley assembly that consists of a shaft supported by two bearings and driven by a motor on the righthand side (not shown in the figure). The shaft diameter is 100mm. The pulley consists of two disks, each disk is 15 mm thick and has an outer diameter of 620mm, that are connected by means of a cylindrical shell. The length of the shell is 500mm, the outer diameter of the shell is 600mm, and the thickness of the shell is 15mm. The pulley drives a belt that places a uniformly distributed load on the shell (of 100000N) as shown in the diagram. The belt lifts a load that applies a torque of 6000Nm to the pulley. The shell and the plates are connected. A 6mm fillet should be applied to all the 90 degree corners between the shaft and the plates and between the shell and the plates.
Apply the boundary conditions and the forces and torques to the system and determine the following:
Calculate the highest Principal stresses in the system ?
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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- A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with the belt tensions shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Assume the belt tension on the loose side at B is 15 percent of the tension on the tight side.arrow_forwardThe figure 1 shows a pulley assembly that consists of a shaft supported by two bearings and driven by a motor on the righthand side (not shown in the figure). The shaft diameter is 100mm. The pulley consists of two disks, each disk is 15 mm thick and has an outer diameter of 620mm, that are connected by means of a cylindrical shell. The length of the shell is 500mm, the outer diameter of the shell is 600mm, and the thickness of the shell is 15mm. The pulley drives a belt that places a uniformly distributed load on the shell (of 100000N) as shown in the diagram. The belt lifts a load that applies a torque of 6000Nm to the pulley. The shell and the plates are connected. A 6mm fillet should be applied to all the 90 degree corners between the shaft and the plates and between the shell and the plates. The deflection of the shaftarrow_forwardFor nos. 21-23, satisfy the conditions of the given problem below: As an airplane's brakes are applied, the nose wheel exerts two forces on the end of the landing gear as shown in the figure 1. Determine: 21. the force in the strut AB. * 1 point 30° 450 lb. 1350 lb O A. 215.3 lb B. 224.4 lb C. 233. 2 lb D. 234.3 lb 1 ft 2 ftarrow_forward
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- In the figure below, a motor with power 150kw and speed of 2500 rpm is connected to shaft 1(by coupling) in a clockwise direction. Shaft 2 is connected to shaft 1 by gears 1 and 2. If 30% of the power is consumed by the gear3 and 9% by the pulley and 61% by the sprocket, draw torque diagrams for both shafts. If the pressure angle of the gears is 20 degrees to the x-axis, Calculate the reaction forces of the bearings and draw the bending moment diagrams for both shafts according to the information below: Lengths: AB=90mm/BC=DGH=50mm/CD=HI=60mm/DE=IJ=80mm Diameters: dG1=dG2=47mm/ dG3=20mm/ d(pulley)=35mm/d(sprocket)=40mm Gears Gear2 Tew) shaftz Bearing Shaft Gear1 SProcketarrow_forwardThe pedal system shown in the figure is exerted by both an up and down mechanism. These forces are Fmax=350*SN/10 N, Fmin=-150*SN/10 N. It is desired that h/b = 5 seen in the figure. This piece is AISI 1040 and has a maximum tensile stress of 670Mpa and a yield stress of 540Mpa. Known weakening factors are known as kb=ky=kd=0.8. The notch factor for all stresses is assumed to be Kç=1.5. It is desired to last up to its minimum indefinite life at the cross-section measurement point (bxh) shown in the figure. According to Goodman theory, what should be the minimum size (b and h value) of this section in order to meet this condition. SN=89arrow_forwardThe degree of freedom of the geared five bar mechanism as shown in figure isarrow_forward
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