Loose Leaf for Shigley's Mechanical Engineering Design Format: LooseLeaf
10th Edition
ISBN: 9780073399652
Author: BUDYNAS
Publisher: Mcgraw Hill Publishers
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 13, Problem 31P
Shaft a in the figure has a power input of 75 kW at a speed of 1000 rev/min in the counterclockwise 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.
Problem 13-31
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Shaft a in the figure has a power input of 75 kW at a speed of 1000 rev/min in the counterclockwise direction. The gears have a module of 5 mm and a 20° pressure angle. Gear 3 is an idler
(b) Find the torque T4c that gear 4 exerts on shaft c.
13–31 Shaft a in the figure has a power input of 75 kW at a speed of 1000 rev/min in the counterclockwise 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.
A gear train is composed of four helical gears with the three shaft axes in a single plane, as shown in the figure. The gears have a normal pressure angle of 20 and a 30 helix angle. Gear
is the driver, and is rotating counterclockwise as viewed from the top. Shaft b is an idler and the transmitted load from gear 2 to gear 3 is 500 Ibf. The gears on shaft b both have a normal diametral pitch of 7 teeth/in and have 54 and 14 teeth, respectively. Find the forces exerted by
gears 3 and 4 on shaft b
Chapter 13 Solutions
Loose Leaf for Shigley's Mechanical Engineering Design Format: LooseLeaf
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
- 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 Please solve with step wise given data must write....arrow_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_forwardA pair of straight-tooth bevel gears (as shown in the figure above) are in mesh transmitting 35 hp at 1000 rpm (pinion speed). The gear rotates at 400 rpm. The gear system has a pitch of 6 and a 20-degree pressure angle. The face width is 2 inches and the pinion has 36 teeth. Determine the tangential, radial, and axial forces acting on the pinionarrow_forward
- A gear train is composed of four helical gears with the tree shaft axes in a single plane, as shown in the figure. The gears have a normal pressure angle of 20° and a 30°helix angle. Gear 2 is the driver, and is rotating counterclockwise as viewed from the top. Shaft b is and idler and the transmitted load from gear 2 to gear 3 is 500 lbf. The gears on shaft b both have a normal diametral pitch of 7 teeth/in and have 54 and 14 teeth, respectively. Find the forces exerted by gears 3 and 4 on shaft b.arrow_forwarda 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 shaftarrow_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
- The 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_forwardThe four helical gears shown in figure have a module in the normal plane of 4 mm and a pressure angle in the normal plane of 0.35 rad. The motor shaft rotates 550 rpm and transmits 20 kW. Other data are on the drawing. (a) What is the speed ratio between the motor (input) and output shafts? (b) Determine all force components that the 20-tooth pinion applies to the 50-tooth gear. Make a sketch showing these forces applied to the gear. (c) The same as part (b), except for the force components that the 50-tooth gear exerts on the 25- tooth pinion 100 50 teeth 200 125 25 teeth ψ = 0.35 rad right hand Motor 20 teeth ψ = 0.50 rad left hand 50 teeth Outputarrow_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
- An epicyclic gear shown in figure below consists of ring gear, planet gear and sun gear. The ring gear has 72 internal teeth and sun gear has 32 external teeth. Planet gear meshes with both ring and sun gears and is carried on an arm which rotates about the centre of the ring gear at 20 r.p.m. If the gear A is fixed, Calculate the speed of plane gear.arrow_forwardFor a pair of standard gears, the module is m=2.5mm，pressure angle is α=20 0. ha*=1. c*=0.25. The teeth number on gear 1 is z1=22. The standard center distance is a=68.75mm. If the actual center distance is a’=69.75mm, find the working pressure angle α’=( )°arrow_forwardThe shaft in the figure below is part of a drive for an automated transfer system in a metal stamping plant. Gear Q delivers 30 hp to gear B. Sheave D delivers the power to its mating sheave as shown. The shaft carrying B and D rotates at 550 rpm. Use SAE1040 cold drawn steel. Note: Torque on gear at B and the torque on sheave at D are equal. Gear Data: - NB= 96 (Number of teeth on gear B) - Pd= 6 (Diametral pitch for gear B) - Spur gears Gear pressure angle =20o - Shaft at B and D rotate at 550 rpm. Use the following assumptions: - Bearing seats have sharp fillets. Kt=2.5 - Design factor (Factor of Safety) = 3 - Pinion Q is rotating in CCW direction. - Cs= Size factor = 0.80 a) Determine the magnitude of the torque in the shaft at all points b) Compute the forces acting on the shaft at all power-transmitting elements c) Compute the reactions at the bearingsarrow_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