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 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
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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
187
13-40 The 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
32-hp at 1800 rev/min. Find the direction and magnitude of the forces acting on
bearings A, B, C, and D.
13-41 The figure shows the electric-motor frame dimensions for a 30-hp 900 rev/min motor.
The frame is bolted to its support using four -in bolts spaced 11 in apart in the view
shown and 14 in apart when viewed from the end of the motor. A 4 diametral pitch
20° spur pinion having 20 teeth and a face width of 2 in is keved to and fluch with
3 in 3 in
Problem 13-40
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.
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...
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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
- The 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_forwardShaft 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 c.arrow_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_forward
- 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:arrow_forwardProblem 1. The spur gears shown in Figure 1 have a diametral pitch of 2 teeth per inch and a 20° - pressure angle. Gear 2 rotates at 1800 rev/min clockwise and transmits 200 hp through the idler pair in Gear 5 on shaft c. (a) Show fully labeled free-body diagrams of gear 2, and Gears 3 and 4; (b) What forces do gear 3 and 4 transmit to the idler shaft? (c) What is the train value? (d) What is the output speed? Gear 5 Gear 4 48Teeth 18Teeth Gear 3 32Teeth Gear 2 18Teeth Figure 1arrow_forwardTwo mating spur gears have 40 and 120 teeth respectively. The pinion rotates at 1200 rpm and transmits a torque of 20 N-m. The torque transmitted by the gear isarrow_forward
- The 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_forwardA pinion having 40 teeth drives a gear having 80 teeth. the profile of the gear is involute with pressure angle ( 22), 12 mm module and (14) mm addendum. Find 1-the length of contact2-Arc of contact 3-Contact ratioarrow_forwardTask 3 The figure shows a pair of shaft-mounted spur gears having an 18-tooth pinion driving a 45- tooth gear. The power input is 32-hp at 1800 rev/min. Find the torque on each gear. Find also the power output. 3 in' 3 inarrow_forward
- 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.arrow_forward13-33 The gears shown in the figure have a diametral pitch of 2 teeth per inch and a 20° pressure angl The pinion rotates at 1800 rev/min clockwise and transmits 200 hp through the idler pair to gear 5 on shaft c. What forces do gears 3 and 4 transmit to the idler shaft? Problem 13-33 187 327 187 5 W-487arrow_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 shaft Please solve with step wise given data must write....arrow_forward
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