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
Textbook Question
Chapter 14, Problem 9P
A 20° full-depth steel spur pinion with 18 teeth is to transmit 2.5 hp at a speed of 600 rev/min. Determine appropriate values for the face width and diametral pitch based on an allowable bending stress of 10 kpsi.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A steel spur pinion has 16 teeth cut on the 20° full-depth system with a module of 8
mm and a face width of 90 mm. The pinion rotates at 150 rev/min and transmits 6
kW to the mating steel gear. What is the bending stress?
A steel spur pinion has a pitch of 3 mm, 22 full-depth teeth, and a 20° pressure angle. The
pinion runs at a speed of 1200 rev/min and transmits 11 kW to a 60-tooth gear. If the face width
is 50 mm, estimate the bending stress.
A 20° full-depth steel spur pinion rotates at 1145 rev/min. it has module of 6 mm, a face width
of 75 mm, and 16 milled teeth. The ultimate tensile strength at the involute is 900 MPa
exhibiting a Brinell hardness of 260. The gear is steel with 30 teeth and has identical material
strengths. Use the Gerber criteria to compensate for one-way bending. For a design factor of
1.3, find the power rating of the gearset based on the pinion and the gear resisting bending and
wear fatigue.
A steel spur pinion has a pitch of 6 teeth/in, 22 tooth full-depth teeth with a cut
profile, and a 20 pressure angle. The pinion runs at a speed of 1,160 rev/min and
transmits 17.434 hp to a 60 tooth gear.
If the face width is 2 in., estimate the static bending bending stress in the gear
tooth in psi. Use the Lewis equation.
Take the value of Lewis form factor, Y, from the table 14-2. Note do NOT use the
velocity factor Kv in the bending stress equation.
Chapter 14 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 14 - A steel spur pinion has a pitch of 6 teeth/in, 22...Ch. 14 - A steel spur pinion has a diametral pitch of 10...Ch. 14 - Prob. 3PCh. 14 - A steel spur pinion has 16 teeth cut on the 20...Ch. 14 - Prob. 5PCh. 14 - A 20 full-depth steel spur pinion has 20 teeth and...Ch. 14 - A 20 full-depth steel spur pinion has a diametral...Ch. 14 - A steel spur pinion is to transmit 20 hp at a...Ch. 14 - A 20 full-depth steel spur pinion with 18 teeth is...Ch. 14 - Prob. 10P
Ch. 14 - A speed reducer has 20 full-depth teeth and...Ch. 14 - Prob. 12PCh. 14 - Prob. 13PCh. 14 - A 20 20-tooth cast-iron spur pinion having a...Ch. 14 - A steel spur pinion and gear have a diametral...Ch. 14 - A milled-teeth steel pinion and gear pair have Sut...Ch. 14 - A 20 full-depth steel spur pinion rotates at 1145...Ch. 14 - A steel spur pinion has a pitch of 6 teeth/in, 17...Ch. 14 - A commercial enclosed gear drive consists of a 20...Ch. 14 - A 20 spur pinion with 20 teeth and a module of 2.5...Ch. 14 - Repeat Prob. 14-19 using helical gears each with a...Ch. 14 - A spur gearset has 17 teeth on the pinion and 51...Ch. 14 - Prob. 23PCh. 14 - Prob. 24PCh. 14 - The speed reducer of Prob. 14-24 is to be used for...Ch. 14 - Prob. 26PCh. 14 - Prob. 27PCh. 14 - The gearset of Prob. 14-27 is going to be upgraded...Ch. 14 - Prob. 29PCh. 14 - AGMA procedures with cast-iron gear pairs differ...Ch. 14 - Spur-gear teeth have rolling and slipping contact...Ch. 14 - In Ex. 14-5 use nitrided grade 1 steel (4140)...Ch. 14 - In Ex. 14-5 use carburized and case-hardened gears...Ch. 14 - Prob. 35PCh. 14 - Prob. 36PCh. 14 - The countershaft in Prob. 373, p. 152, is part of...Ch. 14 - Build on the results of Prob. 1340, p. 720, to...Ch. 14 - Build on the results of Prob. 1341, p. 721, to...
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 steel spur pinion has a module of 1 mm and 16 teeth cut on the 20° full-depth system and is to carry 0.15 kW at 400 rev/min. Determine a suitable face width based on an allowable bending stress of 150 MPa.arrow_forwardA gear drive consists of a 16-tooth 20° steel spur pinion and a 48-tooth cast-iron gear having a pitch of 12 teeth/in. For a power input of 1.35 hp at a pinion speed of 700 rev/min, select a face width based on an allowable contact stress of 100 kpsi. Refer to table number 14-8 for elastic coefficient. The face width based on an allowable contact stress of 100 kpsi is in.arrow_forwardA 2 in diameter shaft uses a straight spline with seven splines and contact length of 1.5 in. Assuming it is designed to slide while under load, compute it torques transmission capacity at 100 rpm if h is 8% of that shaft diameter. Note S = 1200 psi.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_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 steel spur pinion has a module of 1.25 mm, 18 teeth cut on the 20° full-depth system, and a face width of 12 mm. At a speed of 1630 rev/min, this pinion is expected to carry a steady load of 0.55 kW. Determine the bending stress. Take the value of Lewis form factor, Y, from Table 14-2. MPa. The bending stress isarrow_forward
- A steel spur pinion has 16 teeth cut on the 20° full-depth system with a module of 8 mm and a face width of 90 mm. The pinion rotates at 150 rev/min and transmits 4 kW to the mating steel gear. This pinion is to mesh with a steel gear with a gear ratio of 4:1. The Brinell hardness of the teeth is 200, and the tangential load transmitted by the gears is 4 kN. If the contact fatigue strength of the steel can be estimated from the AGMA formula of Sc= 2.22 HB + 200 MPa, estimate the factor of safety of the drive based on a surface fatigue failure. The factor of safety of the drive is 3.086arrow_forwardIn a gear set, a 36-tooth spur pinion drives a 60-tooth spur gear. The teeth of these gear are cast iron profile. The diametral pitch is 6-teeth/in, the face width si 0.5 inches, and the pressure angle is 20 degrees. Assume that the pinion transmits 10 hp at a speed of 2000 rpm. Find the tangential load in lbf Find the contact stress in kpsi, assuming CP=1960 psi.arrow_forward427 12T 4 30T In the gear train shown in sketch c the pinion rotates at 520 rpm and transfers 6.9 kW to the train. The circular pitch is 38.25 mm and the pressure angle is 18.5º. Find: 1. the output speed. 2. Draw a free-body diagram of the forces acting on each gear. 3. Find the reaction forces at shaft of the gear 4.arrow_forward
- A 20° 20-tooth cast-iron spur pinion having a module of 4 mm drives a 32-tooth cast-iron gear. Find the contact stress if the pinion speed is 1020 rev/min, the face width is 50 mm, and 10 kW of power is transmitted. Refer to table number 14-8 for elastic coefficient. The contact stress is MPa.arrow_forwardA spur gear is mounted on a 28mm shaft at equal distances from two supporting bearing.The gear pitch circle is 7in and its pressure angle o = 15°. Its gearbox transmit 15kW.The shaft and gear turns together with an angular velocity of 30 rad/s. Select the most suitable bearing and calculate its bearing life in hours if dynamic load capacity is equivalent to 22kN.arrow_forward= Q.3: Calculate the power that can be transmitted safely by a pair of spur gears with the data given below and calculate also, the bending stresses induced in the two wheels when the pair transmits this power. Number of teeth in the pinion 20, Number of teeth in the gear = 80, Module = 4 mm, and Width of teeth = 60 mm, Tooth profile involute, Allowable bending strength of the material;( 200 MPa, for = 400 r.p.m and pinion) and (160 MPa, for gear), Speed of the pinion Service factor = 0.8. = 20° Q.4: Design a wire rope for an elevator (Miscellaneous hoists) in a building of (60 m) height, for a total load (20 kN). The speed of the elevator is (240 m/min) and the full speed is reached at (10 sec). Taken the grade wire is (110), the safety factor is 2.5 and Er =84 x 103 N/mm².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