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 40P
(a)
To determine
The minimum number of teeth on gear
The minimum number of teeth on gear
(b)
To determine
The module of the gear teeth.
(c)
To determine
The input torque applied to the shaft
(d)
To determine
The radial force transmitted between the gears
The tangential force transmitted between the gears
The total force transmitted between the gears
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
In a single-stage gearbox consisting of helical gear pairs, input speed ng= 900 rpm, input power P1=16 kW, the number of teeth of the pinion gear z1= 20, the number of teeth of the second gear wheel z2= 61. gear wheelmaterial is 20MnCr5, for this material: σem=230 N/mm2, pem=1500 N/mm2 and E= 2.1.105 N/mm2is (Helix angle: β=180; grip angle: α=200; factor of safety: S=1.5; form factor: Kfn=2.7; dynamic loadfactor: Kd=1.25; width factor: ψm=12; clutch ratio: ε = 1.6). (20p)a) Calculate the modulus of the gear pair.Module according to root fracture:(p1)Module according to tooth surface crushing:(p2)(Standard module values: 1 – 1.5 – 2 – 2.5 – 3 – 3.5 – 4 – 5 – 6 – 7 – 8 mm)b) Dimension the gears (Diameters of section circle, head circle and base circle, distance between axes).
Pay attention the units
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 = 120
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:
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
- There 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_forwardThe 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.arrow_forwardA 50 mm transmission shaft transmitting 15 kW power at 200 rpm is supported on two deep grove ball bearings 750 mm apart and two gears are key to it. The pinion and gear have 30 and 100 teeth respectively. The pinion is located at 100 mm to the left of the right bearing, whereas the gear is located at 150 mm to the right of the left bearing The module and pressure angle of gear is 5 and 20o involute. Pinion delivers power horizontally to the right and gear received power in a vertical direction from below as shown in Figure l. The expected life of 15,00 h assumes the torque is the same for both pinion and gear and the bearings are under radial load only. Find the pitch diameters of pinion and gear. The torque transmits by the shaft Find force FC and FD Select suitable deep groove ball bearings at A and B B 150 500 100 Fe N-arrow_forward
- (b) Solve the base pitch, centre distance, whole depth and contact ratio of a gear with the given parameters: Pa= 6, 20 degree pressure angle, 18-tooth pinion is meshed with a 74-tooth gear. Solve the contact ratio of a gear when the base pitch, P, is the same length of action, Z in Question Q2(b). (c) (d) If this gear (Q2(b)) is a one of the component needed for designing a compound gear train with ratio at 250:1, design the gear.arrow_forwardThe input shaft for the gear train shown rotates at 4500 rpm. Compute the train value and the rotational speed of the output shaft ,knowing that the Number of teeth: NA = 17 , NB = 50 , Nc = 20 , Np = 48 , Ne = 14 , NF = 62 B Input shaft D Output shaft E 3 ! F 4. а. TV = 22.0451 O b. n output = 143.95 rpm O c. noutput = 155.45 rpm O d. TV=31.2605 Ое. TV = 31.2605 f. TV = 36.149 g. n output = 241.88 rpm O h. n output = 123.65 rpmarrow_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
- h Thoist, hoist 1₁ m mg G=5 Gear box Pshaft Ishaft, Pshaft Electrical machine 400 V 50 Hz Tower crane, which is driven by an electrical motor hoists a certain mass load on the height of 60 m. Electric motor produces 15000 W shaft power to lift this load and it is connected to the load via an ideal reduction (decreases speed) gear box with G = 5 gear coefficient, the radius of the hoist gear is ₁ = 0.2 m. Find, how long does it take to lift the load and the mass of the load. Electrical machine is supplied with 50 Hz, and it has 3 pole pair. Assume that motor accelerates instantaneously and there is no rotor inertia. Time, spent on lifting: Mass of the load:arrow_forward5.A pair of gears has these parameters: teeth of two gears are Z1=26, Z2=52, modulus m=1.25mm. Please calculate (1)the radius of reference circle of two gears, r1 and r2 (2) The pitch of this pair of gears, p (3) The standard center distance, a (4) Now two gears are mounted with a'=49mm, calculate the radius of two pitch circle for two gears, r1' and r2' . (5)The ratio of angular velocity of two gears, i.arrow_forwardA 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_forward
- The figure shows a schematic representation of a gear system. The gears are meshed with one another and can therefore not slip. The ring gear R is fixed, i.e. wR = 0. Gear A has an inner hub with radius rA(inner) = 0.3 m which is fixed to the rest of the gear, having a radius of FAlouter) = 0.8 m, and moves together as a unit. Gear A is in mesh with gear B which has a diameter of de = 1.5 m. Gear B has a clockwise angular velocity of wg = 2.1 rad/s. Determine the angular speed of gear A. B TA(outer Rarrow_forward(d) A motor drives the winch drum through a reduction gear with a gear tooth ratio of 0.1 as shown in Figure Q1(d). The friction torque at winch shaft is 15 Nm and at the motor shaft is 10 Nm. At the motor speed of 1500 rpm, the winch complete one rotational cycle in 11 s. (i) Calculate the equivalent moment of inertia of the drive referred to the motor shaft. (ii) Examine the motor torque if the gear and winch has efficiency of 90% and 98%, respectively. (iii) Find total power of the motor. Winch 0.2 m radius Motor Jo = 0.5 kgm? Gear Cable Jg = 0.15 kgm? at the motor speed Load 500 kg Figure Q1(d)arrow_forwardFind the minimum shaft diameter (dmin) of the gear system given the dimensions and load values. A gear section circle diameter 40 cm; Bgear section circle diameter 20 cm; (The weight of gear wheels will be neglected); Shaft material property: Shaft material feature:yield strength = 3000N / cm; Shaft material property: yield strength = 3000N / cm2; Yield strength k = 4500N / cm2; safety coefficient = 4; K = 3 (factors)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