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 18P
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Problem 13–18
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A pickup truck is driving at a speed of 100 km/h on a leveled road. This truck has4 wheels of the same diameter of 400 mm and drives at a gear ratio of 5 to 1 ifits gearbox 5th gear is selected. The gear’s teeth are of involute form with amodule of 8 mm, an addendum is double the module, and the pressure angle isequal to 20°
.1.1. If the driving shaft of the front wheels of the truck is connected to the output shaftof the gearbox, determine the number of teeth on the pinion to avoid interferenceand the corresponding number of teeth on the gear wheel.
13-39 The gears shown in the figure have a module of 12 mm and a 20° pressure angle. The
pinion rotates at 1800 rev/min clockwise and transmits 150 kW through the idler pair
to gear 5 on shaft c. What forces do gears 3 and 4 transmit to the idler shaft?
w487
187
Problem 13-39
16
327
187
A pickup truck is driving at a speed of 100 km/h on a leveled road. This truck has
4 wheels of the same diameter of 400 mm and drives at a gear ratio of 5 to 1 if
its gearbox 5th gear is selected. The gear's teeth are of involute form with a
module of 8 mm, an addendum is double the module, and the pressure angle is
equal to 20°.
1.1.
If the driving shaft of the front wheels of the truck is connected to the output shaft
of the gearbox, determine the number of teeth on the pinion to avoid interference
and the corresponding number of teeth on the gear wheel.
1.2.
Calculate the gear maximum velocity of sliding.
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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- Question 1 A pickup truck is driving at a speed of 100 km/h on a leveled road. This truck has4 wheels of the same diameter of 400 mm and drives at a gear ratio of 5 to 1 if its gearbox 5th gear is selected. The gear’s teeth are of involute form with a module of 8 mm, an addendum is double the module, and the pressure angle is equal to 20°. 1(a). If the driving shaft of the front wheels of the truck is connected to the output shaft of the gearbox, determine the number of teeth on the pinion to avoid interference and the corresponding number of teeth on the gear wheel. 1(b) Calculate the gear maximum velocity of sliding.arrow_forward13-29. A compound reverted gear train is to be designed to provide the appropriate ratio between the minute hand and the hour hand of a clock. The hour hand is attached to the shaft of gear 5, such that the rotational speed of the hour hand will equal the rotational speed of gear 5. The shaft of gear 2 passes through the center of the hollow shaft of gear 5, and has the minute hand attached to it. Use spur gears with a 20° pressure angle. Specify appropriate numbers of teeth and pitch diameters, while minimizing the gearbox size. 2 Minute hand Hour hand 예 4 3arrow_forward187 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 13-40arrow_forward
- Two 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_forwardThe gear motor can develop hp when it turns at 510 rev/min. The shaft has a diameter of 1/2 in.arrow_forwardFor the following differential gear, if the number of teeth is as follows: N = 24, N2 = 48, Na = 18, Na = 20, Ns = 18, N. = 20. if the input gear from the engine rotates at an angular velocity of un = 100 rad/sjand the left wheel (gear 5) is held fixed (ws =0 rad/s), determine the angular velocity of the right wheel (gear 3). %3D %3! Ouput Ouparrow_forward
- The gear ratio shown must transmit 10 horsepower (66000 lb in/s) from its input, which is rotating at a speed of 1200 revolutions per minute. It must increase the torque received at its input shaft 16 times. Spur gears with 20° pressure angle should be used. Input and output shafts should be aligned. The transmission should take up as little space as possible. The distance between the centers of the input shaft and the intermediate shaft (the one that loads gears 3 and 4) should be 10 inches. Determine the magnitude of the radial load that gear 4 exerts on gear 4. Write your answer in pounds.arrow_forwardA gear train as the one shown in problem 1. The gears have the following properties: N2 = 20 teeth and Pd = 10; d3 = 6 in.; d4 = 2 in., and Pd = 8; and N5 = 48 teeth. Determine the velocity of gear 5 as gear 2 drives at 1800 rpm counterclockwisearrow_forwardA reverted gear train with a speed ratio of 12 consists of four gear wheels. Gear A has a module pitch of 3mm and is meshed with gear B. Whereas gear C that is meshed with gear D has a module pitch of 2.5mm. Gear B and C form a compound gear system. The distance between axis of rotation of driving gear A and driven gear B is equal to 200mm. If gear A has 24 teeth, determine the suitable number of teeth for all gears.arrow_forward
- 13-32 The 247 6-pitch 20° pinion 2 shown in the figure rotates clockwise at 1000 rev/min and is driven at a power of 25 hp. Gears 4, 5, and 6 have 24, 36, and 144 teeth, respectively. What torque can arm 3 deliver to its output shaft? Draw free-body diagrams of the arm and of each gear and show all forces that act upon them.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_forwardTwo spur gears of 24 teeth and 36 teeth of 8 mm module and 20° pressure angle are in mesh. Addendum of each gear is 7.5 mm. The teeth are of involute form. Determine : 1. the angle through which thepinion turns while any pair of teeth are in contact, and 2. the velocity of sliding between the teethwhen the contact on the pinion is at a radius of 102 mm. The speed of the pinion is 450 r.p.marrow_forward
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