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 45P
To determine
The force exerted by gear 3 on its shaft.
The force exerted by gear 2 on its shaft.
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Shaft 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.
An epicyclic gear train is shown in the figure below. The number of teeth on the gears
A, B and D are 20, 30 and 20, respectively. Gear C has 80 teeth on the inner surface and
100 teeth on the outer surface. If the carrier arm AB is fixed and the sun gear
A rotates
at 300 rpm in the clockwise direction, then the rpm of D in the clockwise direction is
B
D
The double-reduction helical gearset shown in the figure is driven through
shaft a at a speed of 780 rev/min. Gears 2 and 3 have a normal diametral pitch of
12 teeth/in, a 30° helix angle, and a normal pressure angle of 20°. The second pair
of gears in the train, gears 4 and 5, have a normal diametral pitch of 8 teeth/in, a
25° helix angle, and a normal pressure angle of 20°. The tooth numbers are as
follows: N2 = 14, N3 = 48, N4 = 16, N5 = 34.
If the gear set transmits 17 horsepower, calculate the output torque on gear 5, in
inch-lbf.
5
-¹²-21
E
5
2
F
SIXEIX
A
3
h
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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- The 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_forwardThe double-reduction helical gearset shown in the figure is driven through shaft a at a speed of 700 rev/min. Gears 2 and 3 have a normal diametral pitch of 12 teeth/in, a 30° helix angle, and a normal pressure angle of 20°. The second pair of gears in the train, gears 4 and 5, have a normal diametral pitch of 8 teeth/in, a 25° helix angle, and a normal pressure angle of 20°. The tooth numbers are: N, = 12, N, = 48, N4 = 16, N, = 36. Find: (a) The directions of the thrust force exerted by each gear upon its shaft (b) The speed and direction of shaft c (c) The center distance between shaftsarrow_forward3. The center distance of two pair of meshing spur gears 4 = a, =160mm m, = m, z, = 20 3 = 30, 2, = 50 . Calculate the module of four gears and the tooth number of gear 1.arrow_forward
- a normal pressure angle of 20°. The second pair of gears in the train, gears 4 and 5, have a The double-reduction helical gearset shown in the figure is driven through shaft a at a speed of 900 rev/min. Gears 2 and 3 have a normal diametral pitch of 3 mm, a 30° helix angle, and normal diametral pitch of 2 mm, a 25° helix angle, and a normal pressure angle of 20°. The tooth numbers are: N2 = 14, N3 = 54, N4 = 16, Ns = 36. Find: (a) The directions of the thrust force exerted by each gear upon its shaft (b) The speed and direction of shaft c %3D %3D %3D (c) The center distance between shafts 30 60 - 30 + 5. F 20arrow_forwardThe 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_forwardShaft 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.arrow_forward
- SOHAR UNIVERSITY Question 6: The double-reduction helical gearset shown in the Figure below is driven through shaft a at a speed of 900 rev/min. Gears 2 and 3 have a normal diametral pitch of 10 teeth/in, a 30° helix angle, and a normal pressure angle of 20°. The second pair of gears in the train, gears 4 and 5, have a normal diametral pitch of 6 teeth/in, a 25° helix angle, and a normal pressure angle of 20°. The tooth numbers are: N2 = 14, N3 = 54, N4 = 16, N5 = 36. Compute: (a) The directions of the thrust force exerted by each gear upon its shaft (b) The speed and direction of shaft c (c) The center distance between shaftsarrow_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_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 shaftarrow_forward
- Three spur gear are arranged shown in the figure. Pinion A rotates for about 500 rpm. The three gears have a diametral pitch of 5. Number of teath and angle is shown in the figure. Determine the torque that each shaft is required to transmit and the resultant force on the shaft carrying the gear B. Draw the FBD of the figure.arrow_forwardA gear train is composed of four helical gears with the three shaft axes in a single plane, as shown in the figure. The gears have a normal pressure angle of 20 and a 30 helix angle. Gear is the driver, and is rotating counterclockwise as viewed from the top. Shaft b is an idler and the transmitted load from gear 2 to gear 3 is 500 Ibf. The gears on shaft b both have a normal diametral pitch of 7 teeth/in and have 54 and 14 teeth, respectively. Find the forces exerted by gears 3 and 4 on shaft barrow_forwardA pair of helical gears transmit 15 KW power and the pinion is rotating at 1000 rpm. The helix angle is 0.50 radians and the normal pressure angle is 0.35 radians. The pitch diameter of the pinion is 70 mm and the pitch diameter of the gear is 210 mm. Determine the tangential, radial, and axial forces between the gear teeth.arrow_forward
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