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
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Chapter 14, Problem 2P
A steel spur pinion has a diametral pitch of 10 teeth/in, 18 teeth cut full-depth with a 20° pressure angle, and a face width of 1 in. This pinion is expected to transmit 2 hp at a speed of 600 rev/min. Determine the bending stress.
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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
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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
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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...
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- Problem 5. A speed reducer has 20 degree full-depth teeth and consists of a 22-tooth steel spur pinion driving a 60-tooth cast-iron gear. The horsepower transmitted is 15 at a pinion speed of 1200 rev/min. For a diametral pitch of 6 teeth/in and a face width of 2 in, find the contact stress.arrow_forward14-8 A steel spur pinion is to transmit 15 hp at a speed of 600 rev/min. The pinion is cut on the 20° full-depth system and has a diametral pitch of 5 teeth/in and 16 teeth. Find a suitable face width based on an allowable stress of 10 kpsi.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 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.arrow_forwardA 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_forward14-4 A steel spur pinion has 15 teeth cut on the 20° full-depth system with a module of 5 mm and a face width of 60 mm. The pinion rotates at 200 rev/min and transmits 5 kW to the mating steel gear. What is the resulting bending stress?arrow_forward
- A 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_forwardProblem 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_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
- = 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_forwardA 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_forwardcampute the bending stress number for the goer pair described by the given data beLow. KS= 1, Km= 1,21, F= 2.00 in, DP= 3,33 in, NG= 70, Np=20 hp = 1750v. p.m, Av=11, Pd =6, Tp= 900ib V1= 1527 ft/min The matarial used for pinion a gear is cast ironarrow_forward
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