Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
6th Edition
ISBN: 9780134441184
Author: Robert L. Mott, Edward M. Vavrek, Jyhwen Wang
Publisher: PEARSON
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Chapter 8, Problem 69P
For Problems 66−75, devise a gear train using all external gears on parallel shafts. Use
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1. A reverted compound gear train with a gear train ratio of 40:9 is required. All available gears
have module 1 and pressure angle 20 deg. Gears with N (number of teeth) between 4 and 25 are
available. Please design the gear train. Please construct a table with all gears in the gear train and
give the pitch diameter for all gears.
A pair of spur gears with 20°. full-depth, involute teeth transmits 7.5 hp. The pinion is mounted
on the shaft of an electric motor operating at 1750 rpm. The pinion has 20 teeth and a diametral
pitch of 12. The gear has 72 teeth. Compute the following:
a. The rotational speed of the gear
b. The velocity ratio and the gear ratio for the gear pair
c. The pitch diameter of the pinion and the gear
d. The center distance between the shafts carrying the pinion and the gear
e. The pitch line speed for both the pinion and the gear
f. The torque on the pinion shaft and on the gear shaft
g. The tangential force acting on the teeth of each gear
h. The radial force acting on the teeth of each gear
i. The normal force acting on the teeth of each gear
Two straight-toothed bevel gears mesh with a shaft angle of 90° and a diametral pitch of 5. The pinion has 20 teeth, and the gear ratio is 2:1. The addendum and dedendum are the same as for 20 stub teeth. For the gear, determine the pitch radius, cone angle, outside diameter, cone distance, and face width.
Chapter 8 Solutions
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
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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
- Compute the values for all the geometrical features for a pair of straight bevel gears having a diametral pitch of 8, a 20° pressure angle, 16 teeth in the pinion, and 48 teeth in the gear. Specify a suitable face width. The shafts are at 90°. tad wo m that ratates at1750 comarrow_forwardA 21-tooth spur pinion mates with a 28-tooth gear. The diametral pitch is 3 teeth/in and the pressure angle is 20°. Make a drawing of the gears showing one tooth on each gear. Find and tabulate the following results: the addéndum, dedendum, clearance, circular pitch, tooth thick- ness, and base-circle diameters; the lengths of the arc of approach, recess, and action; and the base pitch and contact ratio.arrow_forwardA 28-tooth spur pinion mates with a 42-tooth gear. The diametral pitch is 4 teeth/in and the pressure angle is 20.. Make a drawing of the gears showing one tooth on each gear. Find and tabulate the following results: the addendum, dedendum, clearance, circular pitch, tooth thickness, and base-circle diameters; the lengths of the arc of approach, recess, and action; and the base pitch and contact ratio.arrow_forward
- To avoid the problem of interference in a pair of spur gears using a 20° pressure angle, specify the minimum number of tecth allowed on the pinion for each of the following gear ratios. (a) 2 to 1 (b) 3 to 1 (c) 4 to 1 (d) 5 to 1arrow_forwardThe teeth of the gear arrangement have Gear A=40teeth, Gear B=70 teeth and Gear C= 50teeth, a pinion (driver Gear) that rotates at 625 rpm, and idler Gear B and a driven gear (Gear C). The gears have a module of 5mm and a pressure angle of 200. Find the pitch diameter of gear C in mm.arrow_forward4. A pair of spur gears with a centre distance of 495 mm is used for a speed reduction of 4.5:1. The module is 6 mm. Calculate the number of teeth on the pinion and the gear.arrow_forward
- 1. To avoid the problem of interference in a pair of spur gears using a 20° pressure angle, specify the minimum number of teeth allowed on the pinion (Np.act) for each of the following gear ratios, and the corresponding maximum number of teeth on meshing gear (NG,act). Assume full depth tooth. a. 1.25 to 1 b. 1.6 to 1 c. 2.5 to 1 d. 3.2 to 1 2. Repeat problem 1 for helical gears with normal pressure angle of 20° and helix angle of 30°.arrow_forwardTwo spur gears are to have a ratio of 9:3 and a 7mm module. If the center distance is to be approximatively 200mm, calculate the following:o Circular pitch value;o Number of teeth on the wheel (gear);o Number of teeth of the pinion;o Pitch circle diameter of the gear;o Pitch circle diameter of the pinion;arrow_forwardDesign A two stage spur gear reduction unit with 20- Deg full depth involute teeth. The input shaft rotates at 1440 rpm and receives 10 kW power. The speed of the output shaft should be approximately 180 rpm plus minus 5 rpm , All gears are made of steel and have the same module . Determine appropriate number of teeth of the gears in the unit .arrow_forward
- Using the most compact design without gear tooth interference, determine the number of teeth and stages to produce a speed reduction of 42:1. Sketch the train and label each gear and its number of teeth. Assume a 25° pressure angle, full tooth.arrow_forwardA pair of helical gears are machined with a hob. The hob has a 20 degree pressure angle and machines circular pitch of 0.55 inch/tooth on a spur gear. Two gears are machined, the pinion has 18 teeth and the gear has 36 teeth. The measured transverse diametral pitch on the pinion is 5 inch/tooth. The pinion transmits 10 hp at 1,000 rpm. Calculate the helix angle of the gearset, in degrees.arrow_forwardFigure shown below illustrates the gears in a speed-change gearbox used in machine tool applications. By sliding the cluster gears on shafts Band C, nine speed changes can be obtained as shown in Table given below. The problem of the machine tool designer is to select tooth numbers for the various gears (2 to 10) so as to produce a reasonable distribution of speeds for the output shaft. The gears 2, 6 and 9 are having 20, 25 and 50 teeth respectively. The input shaft speed is 450 rpm and the output speed can vary from 137 rpm to 580 rpm depending on the sequence of the gears. If the output speed obtained through the gear sequence 2-5-5-8 is 257 rpm and if the minimum and maximum number of teeth in the gear system are 20 and 50 respectively, (i) Suitable tooth numbers for the remaining gears (3,4,5,7,8 & 10)arrow_forward
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