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 7, Problem 27P
To determine
The specifications for the shaft with sufficient details to ensure a long and trouble-free life.
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SITUATIONAL PROBLEM:
Two shafts are connected by spur gears. The pitch radii of the gears A and B are 200 mm and 860 mm respectively. If shaft A makes 350rpm and is subjected to twisting moment of 250 N-m. Pressure angle is 14.5 degree. What is:
a.) Rpm of gear B
b.) Torque in shaft B (in Newton meter).
c.) Separation load of two gears (in newtons).
d.) Total load on gears (in newtons).
n Mukwano Industries, a shaft assembly shown in Fig. 2 is driven by a flat belt at location
A and drives a flat belt at location B. The drive belt pulley diameter is 300 mm; the driven
belt pulley diameter is 500 mm. The distance between sheaves is 800 mm, and the distance
from each sheave to the nearest bearing is 200 mm. The belts are horizontal and load the
shaft in opposite directions. Determine the size of the shaft using Distortion Energy Theory
(DET) and the types of steel that should be used. Use a safety factor of 10. Also, provide
a free-body diagram as well as moment and torque diagrams
Assume that the gear keyed to the shaft shown in the figure below is a Class 50, cast iron flywheel of 15-inin outside diameter and 1-in thickness. The hub is 4-in dia and 3-in thick. The shaft is steel.
Determine the critical frequency of shaft whirl for the assembly shown using the following dimensions: a = 4 in , b = 12 in , l = 14 in , the shaft diameter is 2 in. Assume the following:
The applied transverse force PP and the Torque TT to be zero.
The mass of the steel shaft can be ignored.
Chapter 7 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 7 - A shaft is loaded in bending and torsion such that...Ch. 7 - The section of shaft shown in the figure is to be...Ch. 7 - The rotating solid steel shaft is simply supported...Ch. 7 - A geared industrial roll shown in the figure is...Ch. 7 - Design a shaft for the situation of the industrial...Ch. 7 - The figure shows a proposed design for the...Ch. 7 - For the problem specified in the table, build upon...Ch. 7 - Prob. 8PCh. 7 - For the problem specified in the table, build upon...Ch. 7 - For the problem specified in the table, build upon...
Ch. 7 - In the figure is a proposed shaft design to be...Ch. 7 - The shaft shown in the figure is proposed for the...Ch. 7 - Prob. 20PCh. 7 - The shaft shown in the figure is proposed for the...Ch. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - A 25-mm-diameter uniform steel shaft is 600 mm...Ch. 7 - Prob. 29PCh. 7 - Compare Eq. (727) for the angular frequency of a...Ch. 7 - Prob. 31PCh. 7 - The steel shaft shown in the figure carries a...Ch. 7 - A transverse drilled and reamed hole can be used...Ch. 7 - Prob. 34PCh. 7 - The shaft shown in Prob. 721 is proposed for the...Ch. 7 - A guide pin is required to align the assembly of a...Ch. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Prob. 39PCh. 7 - A ball bearing has been selected with the bore...Ch. 7 - Prob. 41PCh. 7 - A gear and shaft with nominal diameter of 35 mm...
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- simple gear train of 30 and 50 teeth for pinion and gear wheel respectively, is used to drive an electric wheelchair at a velocity that is double the maximum velocity of slip. The pinion has an equal addendum as the gear wheel, a module of 3 mm, and a pressure angle of 14.5o. The wheelchair has a maximum velocity of 5 m/s when its pinion rotates at 800 r.p.m. Calculate: 1. The magnitude of the velocity of slip of gears in mesh.2. The angular speed of the gear wheel in rad/s.3. The maximum length of a path of the approach in mm.arrow_forwardA 15 kW and 1200 motor drives a compressor at 300 a pair of spur gears having . The center-to-center distance between the shafts is 400 . 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 conditions , find from the standpoint of strength Module , 2. Fare and 3. Number of teeth and pitch circle diameter of each gear 2. Check the gears thus designed from the consideration of Static tooth load or endurance strength of the tooth flexural endurance limil (sigma_{\epsilon}) may be taken as 400 MPa 3. Check the gears thus designed from the consideration of wear surface endurance limit ( sigma epsilon x ) may be taken 700 MPa b ^ pi ( 6.154 - 0512/pi; F_{N}arrow_forwardLet Module 5 (m = 5) for a given mutual spur gear pair; Strength, Wear Load, Static Load and Dynamic Show if the conditions for load control are met? For pinion gear:Gear material strength Steel 2k = 900 N / mmSpeed: 1400 rpmd1 = 90 mmZ1 = 18 teethVery precise workmanshipHardness: BHN (Brinell Hardness Number) 400Gripping angle: 20 (full depth involute).It will transfer 22 kW of power For large gear:Gear material strength Steel k = 900 N / mm2d2 = 360 mm Acceptance and Table values: Value depending on tooth width: K = 4 (best value will be taken) Peripheral speed: V = 6 m / s Deformation coefficient: C = 171 kN / m Lewis factor: y = 0.102 Stress fatigue coefficient: k = 2553 kN / m2 Gear wheel width: b = 62 mmarrow_forward
- Please answer part 2, A 20° full depth involute spur pinion of 4 mm module and 21 teeth is to transmit 15 kW at 960 rpm. Its face width is 25 mm. 1.The tangential force transmitted (in N) is (a) 3552 (b) 2611 (c) 1776 (d) 1305 2. Given that the tooth geometry factor is 0.32 and the combined effect of dynamic load and allied factors intensifying the stress is 1.5 the minimum allowable stress for the gear material in MPa is, (a) 242.0 (c) 121.0 (b) 166.5 (d) 74.0arrow_forwardA simple gear train of 30 and 50 teeth for pinion and gear wheel respectively,is used to drive an electric wheelchair at a velocity that is double the maximum velocity of slip. The pinion has an equal addendum as the gear wheel, a module of 3 mm, and a pressure angle of 14.5o. The wheelchair has a maximum velocity of 5 m/s when its pinion rotates at 800 r.p.m. Calculate: 1.1. The magnitude of the velocity of slip of gears in mesh. (2)1.2. The angular speed of the gear wheel in rad/s. (4)1.3. The maximum length of a path of the approach in mm. (2)1.4. The length of a path of a recess in mm. (7)1.5. The addendum of the gears in mm. (7)1.6. The contact ratio.arrow_forwardThe figure shows a double-reduction helical gearset. Pinion 2 is the driver, and it receives a torque of 1200 Ibf • in from its shaft in the direction shown. Pinion 2 has a normal diametral pitch of 8 teeth/in, 14 teeth, and a normal pressure angle of 20° and is cut right-handed with a helix angle of 30°. The mating gear 3 on shaft b has 36 teeth. Gear 4, which is the driver for the second pair of gears in the train, has a normal diametral pitch of 3 teeth/in, 15 teeth, and a normal pressure angle of 20° and is cut left-handed with a helix angle of 15°. Mating gear S has 45 teeth. Find the magnitude and direction of the force exerted by the bearings C and D on shaft b if bearing C can take only a radial load while bearing D is mounted to take both radial and thrust loads.arrow_forward
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