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
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 13, Problem 42P
(a)
To determine
The bevel gear angle
(b)
To determine
The pitch line velocity for the gear on shaft
(c)
To determine
The tangential force transmitted through the gears.
The radial force transmitted through the gears.
The axial force transmitted through the gears.
Whether the forces in problem 3-74 were correct.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
(a)
(b)
200 mm
(c)
A
600 mm
B
200 mm
с
Fig. 3
Fig. 3 shows the layout of a shaft that rotates 500 rev/min and is supported by bearings at O and C. The
shaft is carrying two gears at point A and B, in which the pitch diameter of Gears A and B are 500 mm
and 250 mm, respectively. The force, PA applied at Gear A is 3.5 kN. The rotating shaft is made from
AISI 1030 steel, and the factor of safety is 3.
PB
PA= 3.5 kN
List down 2 assumptions needed in designing the shaft in Fig. 3.
Design the minimum allowable diameter for the shaft at its critical location.
The bearings at points O and C are required to have a desired life of 25kh at a speed of
500 rev/min. Based on these conditions, select the appropriate bearings for this
The figure shows a gear train consisting of a pair of helical gears and a pair of miter gears.
The helical gears have a 17° normal pressure angle and a helix angle as shown. Find:
(a) The speed of shaft c
(h) the distance between shafts a and b
(c) The pitch diameter of the miter gears
SOHAR UNIVERSITY
Question 6:
The double-reduction helical gearset shown in the Figure below is driven through shaft a at a
speed of 900 rev/min. Gears 2 and 3 have a normal diametral pitch of 10 teeth/in, a 30° helix
angle, and a normal pressure angle of 20°. The second pair of gears in the train, gears 4 and 5,
have a normal diametral pitch of 6 teeth/in, a 25° helix angle, and a normal pressure angle of 20°.
The tooth numbers are: N2 = 14, N3 = 54, N4 = 16, N5 = 36. Compute:
(a) The directions of the thrust force exerted by each gear upon its shaft
(b) The speed and direction of shaft c
(c) The center distance between shafts
Chapter 13 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 13 - A 17-tooth spur pinion has a diametral pitch of 8...Ch. 13 - A 15-tooth spur pinion has a module of 3 mm and...Ch. 13 - A spur gearset has a module of 6 mm and a velocity...Ch. 13 - A 21-tooth spur pinion mates with a 28-tooth gear....Ch. 13 - A 20 straight-tooth bevel pinion having 14 teeth...Ch. 13 - A parallel helical gearset uses a 20-tooth pinion...Ch. 13 - A parallel helical gearset consists of a 19-tooth...Ch. 13 - To avoid the problem of interference in a pair of...Ch. 13 - Prob. 9PCh. 13 - Prob. 10P
Ch. 13 - Prob. 11PCh. 13 - Prob. 12PCh. 13 - Prob. 13PCh. 13 - Prob. 14PCh. 13 - A parallel-shaft gearset consists of an 18-tooth...Ch. 13 - The double-reduction helical gearset shown in the...Ch. 13 - Shaft a in the figure rotates at 600 rev/min in...Ch. 13 - The mechanism train shown consists of an...Ch. 13 - The figure shows a gear train consisting of a pair...Ch. 13 - A compound reverted gear trains are to be designed...Ch. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - A gearbox is to be designed with a compound...Ch. 13 - The tooth numbers for the automotive differential...Ch. 13 - Prob. 26PCh. 13 - In the reverted planetary train illustrated, find...Ch. 13 - Prob. 28PCh. 13 - Tooth numbers for the gear train shown in the...Ch. 13 - The tooth numbers for the gear train illustrated...Ch. 13 - Shaft a in the figure has a power input of 75 kW...Ch. 13 - The 24T 6-pitch 20 pinion 2 shown in the figure...Ch. 13 - The gears shown in the figure have a module of 12...Ch. 13 - The figure shows a pair of shaft-mounted spur...Ch. 13 - Prob. 35PCh. 13 - Prob. 36PCh. 13 - A speed-reducer gearbox containing a compound...Ch. 13 - For the countershaft in Prob. 3-72, p. 152, assume...Ch. 13 - Prob. 39PCh. 13 - Prob. 40PCh. 13 - Prob. 41PCh. 13 - Prob. 42PCh. 13 - The figure shows a 16T 20 straight bevel pinion...Ch. 13 - The figure shows a 10 diametral pitch 18-tooth 20...Ch. 13 - Prob. 45PCh. 13 - The gears shown in the figure have a normal...Ch. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - The figure shows a double-reduction helical...Ch. 13 - A right-hand single-tooth hardened-steel (hardness...Ch. 13 - The hub diameter and projection for the gear of...Ch. 13 - A 2-tooth left-hand worm transmits 34 hp at 600...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The four gears shown are attached to a steel shaft that is rotating at 2 Hz. Gear B supplies 70 kW of power to the shaft. Of that power, 20kW are used by gear A, 20 kW by gear C and 30kW by gear D. -20KW 7OKN -20kw -30kW 2m 1.5m 1.5m B (a) If a uniform shaft diameter of 125 mm B speci fied, detenmine the angle of rotation of A relative to D. O If segment Co is to be replaced ay a hollaw Shaft with an inside diameter of 80 mm, what is the outside diameter if the stress is not to excced 70 MPa.arrow_forwardIn a broaching machine shown, shaft A carries a pulley 60.96 cm in diameter which is driven by a leather flat belt from 12-inch pulley on the 30 Hp-squirrel-cage, compensator-motor shaft overhead, the latter turning 1200 rpm. Gears 2 & 4 have 12 teeth each, and 3 & 5 have 60 teeth each. Gear 5 is fast to 6, which has 10 teeth and a module of 8.465 mm/tooth and which engages with rack 7 to which is attached the broach. Assuming that there is no slipping between the pulleys and the belt. Determine: a) the speed with which the broach is drawn through the work, in m/s. b) Specify a double ply, medium weight, cemented joint leather flat belt, considering a mildly jerking loads and a center distance of 60 inches. c) Determine the belt tensions of the belt and the F, maximum stress in the straight part of F₁ ALBA belt if = 3 F₂ Gear 5 Gear 6 Gear 2 DEO CEC A HH₂ Rack 030-0=0 Gear 4 Gear 3arrow_forwardThe double-reduction helical gearset shown in the figure is driven through shaft a at a speed of 700 rev/min. Gears 2 and 3 have a normal diametral pitch of 12 teeth/in, a 30° helix angle, and a normal pressure angle of 20°. The second pair of gears in the train, gears 4 and 5, have a normal diametral pitch of 8 teeth/in, a 25° helix angle, and a normal pressure angle of 20°. The tooth numbers are: N, = 12, N, = 48, N4 = 16, N, = 36. Find: (a) The directions of the thrust force exerted by each gear upon its shaft (b) The speed and direction of shaft c (c) The center distance between shaftsarrow_forward
- The double-reduction helical gearset shown in the figure is driven through shaft a at a speed of 780 rev/min. Gears 2 and 3 have a normal diametral pitch of 12 teeth/in, a 30° helix angle, and a normal pressure angle of 20°. The second pair of gears in the train, gears 4 and 5, have a normal diametral pitch of 8 teeth/in, a 25° helix angle, and a normal pressure angle of 20°. The tooth numbers are as follows: N2 = 14, N3 = 48, N4 = 16, N5 = 34. If the gear set transmits 17 horsepower, calculate the output torque on gear 5, in inch-lbf. 5 -¹²-21 E 5 2 F SIXEIX A 3 harrow_forwardIn the gear system shown, the motor applies a 190 lb-ft torque to the gear at A. A torque of Tc = 392 lb-ft is removed from the shaft at gear C, and the remaining torque is removed at gear D. Assume that DA-4-in.-diameter, Dg=12-in.-diameter, L₁=56 in., and L₂-30 in. Segments (1) and (2) are solid 1.5-in.-diameter steel [G = 12200 ksi] shafts, and the bearings shown allow free rotation of the shaft. Determine: (a) the maximum shear stresses T₁, T₂ in segments (1) and (2) of the shaft. (b) the rotation angle D/B of gear D relative to gear B. Answers: (a) T₁ (b) D/B = = i ᎠᏴ ; A DA i B L₁ Tc amala ksi, T₂ = L2 i Tp D ksi.arrow_forwarda normal pressure angle of 20°. The second pair of gears in the train, gears 4 and 5, have a The double-reduction helical gearset shown in the figure is driven through shaft a at a speed of 900 rev/min. Gears 2 and 3 have a normal diametral pitch of 3 mm, a 30° helix angle, and normal diametral pitch of 2 mm, a 25° helix angle, and a normal pressure angle of 20°. The tooth numbers are: N2 = 14, N3 = 54, N4 = 16, Ns = 36. Find: (a) The directions of the thrust force exerted by each gear upon its shaft (b) The speed and direction of shaft c %3D %3D %3D (c) The center distance between shafts 30 60 - 30 + 5. F 20arrow_forward
- Shaft a in the figure has a power input of 75 kW at a speed of 1000 rev/min in the counterclock-wise direction. The gears have a module of 5 mm and a 20° pressure angle. Gear 3 is an idler.(a) Find the force F3b that gear 3 exerts against shaft b.(b) Find the torque T4c that gear 4 exerts on shaft c.arrow_forward(Q.1) A compound epicyclic gear is shown in Fig. for Q.1. The shaft P is drivenat 3000 rev/min while the annulus A2 is driven at 1000 rev/min in theopposite direction. The numbers of teeth in the gears are S1, 16; S2,24; A1, 60; A2, 90. Determine the speed and direction of rotation ofshaft Q. (Q.2) A compound epicyclic gear is shown in Fig. for Q.2. C and D form acompound wheel which rotates freely on shaft G. The planet wheels B andE rotate on pins fixed in arms attached to shaft G. C and F have internalteeth: the others have external teeth with the following numbers: A, 40;B, 30; D, 50; E, 20. If A rotates at 500 rev/min and wheel F is fixed,find the speed of shaft G.arrow_forwardQ: The sunwheel D has 20 teeth, the gear B is 50 teeth, internal gear C is fixed. The input shaft rotates at 2100 r.p.m. Determine the speed of the output shaft and the torque required to fix C when the gears are transmitting 30 kW. Output shaft Input shaft Darrow_forward
- Problem 2: Consider the two gears mounted on the shaft, as shown. Distances are L1 = 100 mm, L2 = 250 mm, and L3 = 175 mm. Diameter of shaft AB is 15 mm, diameter of shaft BC is 20 mm, and diameter of shaft CD is 17.5 mm. Young's modulus for each portion is 200 GPa. Determine the displacement of point D with reference to point A. Also, determine the displacement of point A relative to C. b. Determine the axial strain at any point in shaft segments AB, BC and CD, respectively. If Poisson's ratio for the material of the shafts is v = 0.2, determine the lateral strain in each of the shaft segments. Based on your answers to part (a), do the gears move towards each other, or do they separate from each other? Note that in real gearboxes, movement of gears towards or away from each other is prevented by using thrust bearings. 10 kN 4 kN 5 kN 7 kN 4 kN NY 0I 17.arrow_forward127 2 a В А 540 rev/min - - D 40T q3..Shaft a transmits 7 hp. Determine the reaction at bearings A and C knowing that these bearings will support thrust loading. The helical gears have 17.5° normal pressure angle and 25° helix angle and 14 normal diametral pitch. Dimensions in inches.arrow_forwardThe upper 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 is coupled to an auxiliary gear N on shaft X and forms a compound wheel with gear O. The Annulus A1 rotates in a counter-clockwise direction at a speed of 5,300 rpm. Calculate the following using this condition: Number of gear teeth:P1 = 30 , A1 = 120P2 = 50 , A2 = 140N = 60 , O = 120 a) The output shaft O (NO), shaft X (NX), and gear ratio speed and direction (n). b) Calculate the speed and direction of output shaft O (NO), shaft X (NX), and gear ratio if Annulus wheel A1 is locked (n). c) The braking torque (Tb) that must be applied to Annulus wheel A1 to keep it stationary (magnitude and direction), assuming gear transmission efficiency of 90%.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Power Transmission; Author: Terry Brown Mechanical Engineering;https://www.youtube.com/watch?v=YVm4LNVp1vA;License: Standard Youtube License