SHIGLEY'S MECHANICAL ENG.DESIGN W/CODE
10th Edition
ISBN: 9781260243314
Author: BUDYNAS
Publisher: MCG CUSTOM
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 14, Problem 18P
A steel spur pinion has a pitch of 6 teeth/in, 17 full-depth milled teeth, and a pressure angle of 20°. The pinion has an ultimate tensile strength at the involute surface of 116 kpsi, a Brinell hardness of 232, and a yield strength of 90 kpsi. Its shaft speed is 1120 rev/min, its face width is 2 in, and its mating gear has 51 teeth. Use a design factor of 2.
(a) Pinion bending fatigue imposes what power limitation? Use the Gerber criteria to compensate for one-way bending.
(b) Pinion surface fatigue imposes what power limitation? The gear has identical strengths to the pinion with regard to material properties.
(c) Determine power limitations due to gear bending and wear.
(d) Specify the power rating for the gearset.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A pair of gears with 20° full-depth teeth are to transmit 15hp at 1750 rpm of the 4-in pinion; velocity ratio desired is about mw= 4; intermittent service. Use a strength reduction factor of about 1.4, with the load at the tip and teeth carefullycut.
A.Determine the diametral pitch,
B. face width,
C. and tooth numbers if the material is cast iron, class 25
Q/A steel spur pinion and gear of grade 1 have a diametral pitch of 11 teeth/in , shaped profile teeth, 16 and 32 teeth, respectively, a 20. pressure angle, the pinion speed is 585 rev/min.
The tooth properties are Sactual bending =20230 psi and the Brinell hardness is 210. For a design factor of 3, a face width of 0.85 in, what is the power due to bending and wear for pinion?
Hint: - use "Shigleys Mechanical Engineering Design 8th Edition"
A 17-tooth 20° pressure angle spur pinion rotates at 1800 rev/min and transmits 4 hp to a 52-tooth disk gear. The diametral pitch is 10 teeth/in, the face width 1.5 in, and the quality standard is No. 6. The gears are straddle-mounted with bearings immediately adjacent. The pinion is a grade 1 steel with a hardness of 240 Brinell tooth surface and through-hardened core. The gear is steel, through-hardened also, grade 1 material, with a Brinell hardness of 200, tooth surface and core. Poisson's ratio is 0.30, Jp = 0.30, JG = 0.40, and Young's modulus is 30(10°) psi. The loading is smooth because of motor and load. Assume a pinion life of 108 cycles and a reliability of 0.90, and use YN = 1.3558N-0.0178, ZN = 1.4488N-0.023. The tooth profile is uncrowned. This is a commercial enclosed gear unit. (a) Find the factor of safety of the gears in bending. (b) Find the factor of safety of the gears in wear. (c) By examining the factors of safety, identify the threat to each gear and to the…
Chapter 14 Solutions
SHIGLEY'S MECHANICAL ENG.DESIGN W/CODE
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 Coniflex, straight-tooth bevel gearset is supported on shafts with centerlines intersecting at a 90° angle. The gear is straddle mounted between closely positioned bearings, and the pinion overhangs its support bearing. The 15-tooth pinion rotates at 900 rpm, driving the 60-tooth gear, which has a di- ametral pitch of 6, pressure angle of 20°, and face width of 1.25 inches. The material for both gears is through-hardened Grade I steel with a hardness of BHN 300 (see Figure). It is desired to have a reliability of 90 percent, a design life of 10° cy- cles, and a governing safety factor of 2.5. Estimate the maximum horsepower that can be transmitted by this gear re- ducer while meeting all of the design specifications given.arrow_forwardPlease 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 57-tooth spur gear is in mesh with a 23-tooth pinion. The gearset transmits 125 hp at 1000 pinion rpm. Size the spur gears for a bending failure safety factor of at least 2 assuming a steady torque, 25∘ pressure angle, full-depth teeth, Qν = 9, an AISI 4140 steel pinion, and a class 40 cast iron gear. Part A Find the appropriate standard diametral pitch for the gearset. Part B Find the minimum required face width of the gears needed to satisfy the safety requirementsarrow_forward
- A double square thread power screw is to raise a load of 70 kN. The screw has a mean diameter of 33.375 mm and a pitch of 6 mm. The coefficient of thread friction and collar friction are 0.13 and 0.10, respectively. The collar mean diameter is 90 mm and the screw turns at 90 rpm. Which of the following is the torque required to raise the load without friction effect? Group of answer choices 66845 N-mm 133690 N-mm 236078 N-mm 334840 N-mmarrow_forwardA 20◦ helical gear has tangential force of 200lb and helix angle of 16◦ and face width of 0.6”.If the machining error is 0.6 and pitchline velocity is 400ft/min. Determine radial force, axial force, normal force, normal pressure angle and dynamic load.arrow_forwardA 35 kW motor running at 1200 rpm drives a compressor at 780 rpm. The arrangement is made through a 90° bevel gearing arrangement. The pressure angle of teeth is 14.5°. The allowable static stress for both pinion and gear are 85 MPa. Determine the number of teeth on the gear, face width, addendum, dedendum, outside diameter and slant height, thickness of tooth. Also check your design from the standpoint of wear. Take surface endurance limit as 690 MPa and modulus of elasticity as 89 kN/mm2.arrow_forward
- A 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_forwardA Design of Single Reduction Spur Gearbox An input shaft connected to the motor rotates at 1200 rpm, while the output speed must be 570 rpm. The contact force between the gears is transmitted through the pressure angle of 20°. The radial force is 321,90 kN. The material for both gear and pinion is 817M40. 1.1) select the suitable gear and pinion (make use of the Lewis formula). Then, do one set of calculations for single reduction gearboxarrow_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_forward
- A 15 kW and 1200 r.p.m. motor drives a compressor at 300 r.p.m. through a pair of spur gears having 20° stub teeth. The centre to centre distance between the shafts is 400 mm. 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 shock conditions, find from the standpoint of strength, 1. Module; 2. Face width and 3. Number of teeth and pitch circle diameter of each gear. Check the gears thus designed from the consideration of wear. The surface endurance limit may be taken as 700 MPaarrow_forwardA parallel helical gear set of 19 tooth pinion is driving a 57 tooth gear. The helix angle of 20 degrees while the normal pressure angle is 14.5 degrees and the normal diametral pitch of 10 teeth/inch. If the pinion is rotating at 1800rpm and transmits 50hp, find the normal force. Please answer in detailed solution.arrow_forwardAn input shaft connected to the motor rotates at 1200 rpm, while the output speed must be 570 rpm. The contact force between the gears is transmitted through the pressure angle of 20°. The radial force is 321,90 kN. The material for both gear and pinion is 817M40. 1.1 Select the suitable gear and pinion (make use of the Lewis formula). Then, do one set of calculations and tabulate the answers.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