TAILIEUCHUNG - Fundamentals of Machine Compon Part 15

Tham khảo tài liệu 'fundamentals of machine compon part 15', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | SOLUTION Known A pinion with 32 teeth and 8 diamettal pitch meshes with a gear having 65 teeth. Find Calculate the standard center distance. Schematic and Given Data Assumptions 1. The gears are spur gears. 2. The gears have teeth of standard involute profile. 3. The gears mesh along their pitch circles. Analysis 1. From Eq. p N d Np dp Ng dg 2. p 8 Np 32. Hence dp in. 3. No 65. Hence do in. o do 4 dp A 4. The center distance c - in. Comments 1. If the gears did not mesh at the theoretical pitch cữcles the measured actual center distance would not be equal to the sum of the theoretical pitch cừcle radii of the gears. 2. It should be evident that meshing gears must have the same diametral pitch. 15-1 SOLUTION Known A spur gear has a size 8 diametral pitch. Find Calculate the thickness of the spur gear tooth measured along the pitch circle. Schematic and Given Data Tooth thickness t Pitch circle Cứcular pitch Assumption The gear has teeth of standard involute profile. Analysis 1. From Eq. pP n p 8. Hence p in. 2. Tooth thickness t p 2 t in. 15-2 SOLUTION Known A pair of gears with a known gear ratio and at a specified center distance have a diametral pitch of 6. Find Determine the number of teeth in each gear. Schematic and Given Data Assumptions 1. The gears are spur gears. 2. The gears have teeth of standard involute profile. 3. The gears mesh along their pitch circles. Analysis 1. A gear ratio of 2 1 indicates a 2 1 ratio in the gear diameters. Hence dg 2dp. 2. Center distance c dg dp 2. Hence dg dp 10 in. 3. Substituting dg 2dp in part 2 we obtain 3dp 10 in. Hence dp 10 3 in. 4. Diamettal pitch p Np dp and Np 10 3 6 20. 5. Since the gear ratio is 2 1 the number of teeth on the gear Ng 2Np. Therefore Ng 40. Comments 1. If the gear teeth were not of involute profile it would still be possible to have a constant speed ratio provided it is ensured that the pitch point is stationary. 2. It should be evident that

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