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 28P
To determine
The speed of the arm.
The direction of rotation of the arm.
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4. For the gear train in a watch shown in the following
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Q5: For the epicyclic gear train shown below. The pitch diameter of the sun
gear is 12mm. The pitch diameter of the planet gear is 20mm. The ring gear is fixed. The sun gear
rotates counter-clockwise with an angular speed Wsun =
1) Determine the angular speed of the planet gears.
2) Determine the angular speed of the arms.
10rad/s.
Ring Gear
Arm
Planet Gear
Sun Gear
4/14/2020
28
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.
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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- Q1/ In a planetary gear train shown in the Figure. Determine the angular velocity of gear A. Int Take: TA= 22, Ts= 30, TB= 25, TD= 50, T₁ (Ext.) = 220, TE (Int.) = 200, Ns= +30 rpm, and Narm= -90 rpm. Ext. Arm S D 20arrow_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_forwardThe figure below shows a two-stage helical gear set. Pinion 2, which is in the converter position, transfers a certain rotation moment from the shaft to gear 3 in the first stage by rotating in the direction of the clock in the front view (or in the Z direction) shown in the figure. on shaft B, the pinion gear No. 4 is positioned with gear No. 3, which receives and/or transmits the drive from different gears. The number 4 Pinion in the second stage drives the number 5 gear, converting the input moment in the system to the output moment and providing movement transfer. Answer the figure in the table as follows by determining the direction of rotation of Gears 3, 4 and 5 and the Helix direction of each gear when looking at the left side view of the figure from the left (i.e. from the-z direction).Also, briefly explain how the concept of a module in Gears is determined by showing the basic dimensions on a tooth form and what the main law of gears refers to by drawing a figure.arrow_forward
- The figure below shows a two-stage helical gear set. Pinion 2, which is in the converter position, transfers a certain rotation moment from the shaft to gear 3 in the first stage by rotating in the direction of the clock in the front view (or in the Z direction) shown in the figure. on shaft B, the pinion gear No. 4 is positioned with gear No. 3, which receives and/or transmits the drive from different gears. The number 4 Pinion in the second stage drives the number 5 gear, converting the input moment in the system to the output moment and providing movement transfer. Answer the figure in the table as follows by determining the direction of rotation of Gears 3, 4 and 5 and the Helix direction of each gear when looking at the left side view of the figure from the left (i.e. from the-z direction).arrow_forwardTo fear Tô rear wheel wheel Planet gears i. The tooth numbers for the automotive differential shown in the figure are N2 = 26, N3 = 68, N4 = 12, N5 = N6 = 20. The drive shaft turns at 1200 rev/min. a. What are the wheel speeds if the car is traveling in a straight line on a good road surface? b. Suppose the right wheel is jacked up and the left wheel resting on a good road surface. What is the speed of the right wheel?arrow_forwardFind the output speed and cycle rate, since the input speed in the gear mechanism in the figure is 900 rpm, r2=20cm, r3=8cm, r4=12cm, r5=26cm, r6=32cm, r7=6cm `input 2 out 4 5arrow_forward
- Question 1: The figure shows a 16T 20° straight bevel pinion driving a 32T gear, and the location of the bearing centerlines. Pinion shaft a receives 2.5 hp at 248 rev/min. Determine the bearing reactions at A and B if A is to take both radial and thrust loads. On-Screen Keyboard Esc 1 3. 4 5 6.arrow_forwardFor the simple gear train below, Gear A is the input gear and rotates at 2500 rpm and Gear D is the output gear for this simple gear train. The number of teeth for each gear is as follows: NA = 116 Teeth, NB = 178 Teeth, NC = 70 Teeth and ND = 120 Teeth Calculate the output angular velocity at Gear D (ωD). Give your answer in rads-1 to the nearest radian.arrow_forward3. For the following planetry gear train determine the following 4 Sun gear: N2 = 24 teeth, Internal gear connected to drive shaft, 42T Input to Sun gear: w2 = 100 rpm ccw Input to Planet gears: W4 = 240 rpm cw Ring gear: N5 = 52 teeth. 2 a. Determine the planet gear teeth (N4) such that the carrier ouput is w arm = 120 rpm cw. b. Determine the angular velocity of the ring gear ws (units and direction). Planet pinions, 127 Planet carrier connected to transmission Figure not to scale.arrow_forward
- A commercial quadrotor drone for the photography industry uses a propellersystem that uses gears. The 20-tooth spur pinion with a diametrical pitch of8 rotates 2000 rpm and drives a spur gear that rotates the blades. Determinethe theoretical centre distance, the number of teeth on the gear and circularpitch.arrow_forwardThe planetary gear train shown in the image below has 16 teeth on the sun and 22 teeth on the planet. The ring is driven by a motor at a speed of 100 revolutions per minute. The sun is stationary. What is the speed of the arm (planet carrier) in units of revolutions per minute? 5 Sun gear Ns 2 Arm --3-- Planet gear NR Np 4 Ring gear 0arrow_forwardQ 7: For the epicyclic gear train shown, determine the speed of the arm. Planet gear Arm 7777 Sun gear Ring gear Gear 1, sun , RPM 1200, Number of teeth 20, Planet Gear , Number of teeth 30 Ring Gear, Rotates RPM 120, and teeth of 80,arrow_forward
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