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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Textbook Question
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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1.Please design a pair of spur gears in the milling machine. It is
known that power input is 7.5kW, Ni
1450r /min, and the
%3D
transmission ratio is required to be u =
2.08. F1. If there is
slight impact, the supplementary conditions for trial design of
this pair of gears: primary selection k = 1.8, number of smaller
gear teeth Z1 = 26. The allowable stress and factors for material
%3D
is:
[0]= 600 MPa, [o„]z= 599 MPa, [0,]ı= 220 MPa, [0,]=
213 MPa. E=1.693,
Z, =1898/mpa Z„ = 2.5
K =1.25 Ky =1.1 K K =1.2
На
K =1.35 Y =2.65, Y = 2.28 Y =1.58 Y =1.76
%3D
Fa2
Fal
sa1
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 figure shows a pair of shaft-mounted spur gears having a diametral pitch of 5 teeth/in with an 18-tooth
20° pinion driving a 45-tooth gear. The power input is 28-hp at 1700 rev/min. Find the magnitude of the
force acting on bearing D.
3
2
3 in 3 in
The magnitude of the force acting on bearing Dis
lbf.
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 short stub shaft, made of SAE 1035, as rolled, receivers 30 hp at 300 rpm via a 12-in. spur gear, the power being delivered to another shaft through a flexible coupling. The gear is keyed (profile keyway) midway between the bearings. The pressure angle of the gear teeth 20o, N = 1.5 based on the octahedral shear stress theory with varying stresses. (a) Neglecting the radial component R of the tooth load W , determine the shaft diameter. (b) Considering both the tangential and the radial components, compute the shaft diameters. (c) Is the difference in the results of the parts (a) and (b) enough to change your choice of the shaft size?arrow_forwardThere are two pairs of closed soft tooth surface spur gears A and B,Parameters of A: modulus m = 2mm, number of teeth Z1 = 40, Z2 = 90 , width of teeth b = 60mm.Parameters of B : modulus m = 4mm, number of teeth Z1 = 20, Z2 = 45 , width of teeth b = 60mm.The accuracy of the two pairs of gears is grade8, and other conditions are the same. Try to compare the contact fatigue strength and bending fatigue strength of the two pairs of gears? And explain the reason.arrow_forwardProblem 13.049 - Bearing Reactions for Beveled Gears The figure shows a 16T 20° straight bevel pinion driving a 32 T gear and the location of the bearing centerlines. Pinion shaft a receives 2 hp at 200 rev/min. Determine the bearing reactions at A if it is to take both radial and thrust loads. Problem 13-43 Dimensions in inches. The bearing reaction due to radial load FA, radial is | B 4 Ibf and the bearing reaction due to thrust load FA, thrust is Ibf.arrow_forward
- A helical cast steel gear with 30o helix angle has to transmit 35 kW at 2000 rpm. If the gears has 25 teeth, find the necessary module, pitch diameters and face width for 20o full depth involute teeth. The static stress for cast steel may be taken as 100 MPa. The face width may be taken as 3 times to normal pitch. The tooth form factor is given by the expression y'= 0.154-0.912/TE, where TE represents the equivalent number of teeth. the velocity factor is given by Cv=6/(6+v), where v is the peripheral speed of the gear in m/s.arrow_forwardA 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.arrow_forwardA parallel shaft helical gear consists of a 20 dts drive pinion And a 96 driven gear. Both gears have a transverse diametrical pitch of 20 dts / in, a helix angle of 25 and a pressure angle on = 20 . The face width is 4 in., AND the gears are moving at 1600 ft / min, on the pitch line. The impeller is made of steel UNSG 10180 CD and without heat treatment; the driven one is made of grade 30 cast iron. Based on flexural strength calculations, evaluate the capacity or safe maximum power at hp. Consider general industrial service, and nG = 4.arrow_forward
- 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.arrow_forwardThe top half of a compound Epicyclic gearset is shown in Figure, with input shaft I rotating at a constant speed of 700 rpm in a clockwise direction and generating 12 kW input power. The Annulus wheel A2 isform a compound wheel with gear O and connected to an auxiliary gear N on shaft X. . The Annulus A1 rotates in a counter-clockwise direction at a speed of 5,300 rpm. Calculate the following using this condition: The speed and direction of output shaft O (NO), shaft X (NX) and gear ratio (n). If Annulus wheel A1 is locked calculate the speed and direction of output shaft O (NO), shaft X (NX) and gear ratio (n). The braking torque (Tb) (magnitude and direction) that must be applied to Annulus wheel A1 to hold it stationary, assuming gear transmission efficiency is 90%. Number of gear teeth:P1 = 30 , A1 = 120P2 = 50 , A2 = 140N = 60 , O = 120arrow_forwardpart b-d pleasearrow_forward
- From our study guide, very hard to understand... please explain steps to solution in detail.arrow_forwardThe 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. Barrow_forwardQuestion 1: The figure shows a 16T 20° straight bevel pinion driving a 32T gear, and the location of the bearing centerlines. Pinion shaft a receives 2.5 hp at 248 rev/min. Determine the bearing reactions at A and B if A is to take both radial and thrust loads. On-Screen Keyboard Esc 1 3. 4 5 6.arrow_forward
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