SHIGLEY'S MECHANICAL ENGR DESIGN (LL)
10th Edition
ISBN: 9781308945446
Author: BUDYNAS
Publisher: MCG/CREATE
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Chapter 13, Problem 12P
To determine
The smallest acceptable full-depth pinion and gear tooth count to avoid interference.
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Twenty degree full depth involute profiled 19-teeth
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A 17-tooth pinion meshes with an 84-tooth gear. The full-depth involute gear teeth have 20° pressure angle and a diametral pitch of 32. Determine the base pitch and the contact ratio. Also,calculate the addendum, dedendum, circular pitch, tooth thickness, and the base diameter for the pinion and gear. If the center distance is increased by 0.125 in., what are the new values for the contact ratio and the pressure angle?
Chapter 13 Solutions
SHIGLEY'S MECHANICAL ENGR DESIGN (LL)
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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- Can someone help please. Thanks. Devise a gear train for a machine system with the following data. Input speed ni = 2500 rpm and the output speed must be between 90 rpm and 110 rpm. Use 20 o , full depth, involute teeth with diametral pitch Pd = 28. All the pinions should have exact number of teeth NP = 18 and the gear diameters should not exceed DG = 2.0 in. In your solution use the equal reduction ratio approach. 6arrow_forwardA 20 straight-tooth bevel pinion having 14 teeth and a diametral pitch of 4 teeth/in drives a 30-tooth gear. The two shafts are at right angles and in the same plane. The illustration below shows a typical right-angle bevel gear set. Bevel gear pitch diameters are measured on the outside face along the back-cone, as shown in the figure. Calculate the face width of the gearset, in inches. Note: use table 13-3 to calculate face width. Cone distance A Face Pitch angle Pitch angle Back cone Uniform clearance Pitch diameter Da Back-cone radius, barrow_forwardTwo 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.arrow_forward
- A gearset has the following parameters: diametral pitch = 8, pressure angle = 20°, 19-tooth pinion meshed with 37-tooth gear. Find the gear ratio, circular pitch, base pitch, pitch diameters, center distance, addendum, dedendum, whole depth, clearance, and the outside diameters.arrow_forwardWhat is the minimum clearance allowed for meshing spur gears with diametral pitch of 20? The spur gear has 25 teeth.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
- PROBLEMS 1. A pair of parallel helical gears has 14.5° normal pressure angle, 6 diametral pitches and 45 helix angle. The pinion has 15 teeth and the gear 24 teeth. Calculate the transverse and normal circular pitch, the normal diameteral pitch, the pitche diameters, and the equivalent tooth numbers. 2. A pair of parallel helical gears are cut with a 20°normal pressure angle and a 30° helix angle. They are 16 diametral pitch have 16 and 40 teeth, respectively. Find the transverse pressure angle, the normal circular pitch, the axial pitch, and the pitch radii of the equivalent spur gears. 3. A parallel helical gears is made with a 20° transverse pressure angle and a 35° helix angle. The gears are 10 diameteral pitch and have 15 and 25 teeth. respectively. If the face width is 3/4 in, calculate the base helix angle and the axial contact ratio. 4. A helical pinion is right-hand, has 12 teeth, a 60° helix angle, and is to drive another gear at a velocity ratio of 3. The shafts are at a…arrow_forwardQ3) A driver 24-tooth spur pinion mates with a 32-tooth driven gear with a pressure angle is 20° and a diametral pitch of 4 teeth/in and. Find the following: The addendum, dedendum, clearance, circular pitch, tooth thickness, and base- circles diameters.arrow_forward4. A 6 pitch bevel gear has diameter of 8” while its pinion diameter is 4” with tangential force of 200lb . If pitchlinevelocity is 600ft/min. Determine length of cone, face width, working depth, total depth,and dynamic load.arrow_forward
- The following data is for two meshing gears Velocity ratio=0.5 Module =5 mm, Pressure angle =20° Centre distance = 250 mm Determine the number of teeth and the base circle radius of the gear wheel.arrow_forwardA 17-tooth pinion meshes with an 84-tooth gear. The full-depth involute gear teeth have 20°pressure angle and a diametral pitch of 32. Determine the base pitch and the contact ratio.Also,calculate the addendum, dedendum, circular pitch, tooth thickness, and the base diameterfor the pinion and gear. If the center distance is increased by 0.125 in., what are the newvaluesfor the contact ratio and the pressure angle.arrow_forwardIXTU Q 1/ Select the correct answer. 1- In figure (1) what the type of gear a- Rack and pinion c- Spur gear 2- 8- To eliminated interference by The distance between corresponding profiles of adjacent teeth measured along the base circle is: Backlash a- C- b- Circular pitch d- Base circle Base pitch 3- Backlash (TB) is the distance between the space and tooth thickness, as measured along the pitch circle, in actual the backlash should be zero. a- True 4- The size of gear is usually specified by ......... a- Diameteral pitch C- Base circle a- Using more teeth on the gear Using shorter teeth 9- For checking no interference in the teeth 5- The tooth thickness and tooth space measured along the a- base circle c-pitch circle 6- The point C & D are inside of point A & B this indicates interference b- False a- True 7- When the gear with large pressure angle, the diameter of the gear is Smaller a- b- bigger C- Same diameter a- Lap SR2. sind & Lre ≤ R3 .sind c- Lap ≤ R2.cos & Lre ≤ R3.sin p…arrow_forward
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