
Pack-40-Gears
pinshape
Let's solve the problems step by step. **Problem 1** Spur gear with pinion Z 13 module 0,6 External diameter of 9,10 mm Pinion: Z 28 module 0,6 External diameter of pinion: 14.56 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 13 * 0.6 = 7.8 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 7.8) / 13 = 1.51 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.6 mm. The dedendum is equal to 1.4 times the module, which is 0.84 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 2** Spur gear with pinion Z 35 module 0,6 Shaft passage diameter: 2,55 mm External diameter: 21,96 mm Pinion: Z 9 module 0,75 External diameter of 8,63 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 35 * 0.6 = 21 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 21) / 35 = 1.20 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.6 mm. The dedendum is equal to 1.4 times the module, which is 0.84 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 3** Spur gear with pinion Z 46 module 0,5 Shaft passage diameter: 2,55 mm External diameter: 23,55 mm Pinion: Z 12 module 0,5 External diameter of 7,10 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 46 * 0.5 = 23 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 23) / 46 = 1.26 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.5 mm. The dedendum is equal to 1.4 times the module, which is 0.7 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 4** Spur gear with pinion Gear: Z 46 module 0.5 Shaft passage diameter: 2.55 mm External diameter of gear: 23.55 mm Pinion: Z 10 module 0.6 External diameter of pinion: 7.86 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 46 * 0.5 = 23 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 23) / 46 = 1.26 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.5 mm. The dedendum is equal to 1.4 times the module, which is 0.7 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 5** Spur gear with pinion Z 47 module 0,5 Shaft passage diameter: 2,55 mm External diameter: 24,05 mm Pinion: Z 11 module 0,5 External diameter of 6,60 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 47 * 0.5 = 23.5 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 23.5) / 47 = 1.26 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.5 mm. The dedendum is equal to 1.4 times the module, which is 0.7 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 6** Spur gear with pinion Gear: Z 47 module 0.5 Shaft passage diameter: 2.55 mm External diameter of gear: 24.05 mm Pinion: Z 9 module 0.75 External diameter of pinion: 6.75 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 47 * 0.5 = 23.5 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 23.5) / 47 = 1.26 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.5 mm. The dedendum is equal to 1.4 times the module, which is 0.7 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 7** Spur gear with pinion Z 13 module 0,6 External diameter of 9,10 mm Pinion: Z 28 module 0,6 External diameter of pinion: 14.56 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 13 * 0.6 = 7.8 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 7.8) / 13 = 1.51 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.6 mm. The dedendum is equal to 1.4 times the module, which is 0.84 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 8** Spur gear with pinion Z 35 module 0,6 Shaft passage diameter: 2,55 mm External diameter: 21,96 mm Pinion: Z 9 module 0,75 External diameter of 8,63 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 35 * 0.6 = 21 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 21) / 35 = 1.20 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.6 mm. The dedendum is equal to 1.4 times the module, which is 0.84 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 9** Spur gear with pinion Z 46 module 0,5 Shaft passage diameter: 2,55 mm External diameter: 23,55 mm Pinion: Z 12 module 0,5 External diameter of 7,10 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 46 * 0.5 = 23 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 23) / 46 = 1.26 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.5 mm. The dedendum is equal to 1.4 times the module, which is 0.7 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 10** Spur gear with pinion Gear: Z 47 module 0.5 Shaft passage diameter: 2.55 mm External diameter of gear: 24.05 mm Pinion: Z 9 module 0.75 External diameter of pinion: 6.75 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 47 * 0.5 = 23.5 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 23.5) / 47 = 1.26 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.5 mm. The dedendum is equal to 1.4 times the module, which is 0.7 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 11** Spur gear with pinion Z 13 module 0,6 External diameter of 9,10 mm Pinion: Z 28 module 0,6 External diameter of pinion: 14.56 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 13 * 0.6 = 7.8 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 7.8) / 13 = 1.51 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.6 mm. The dedendum is equal to 1.4 times the module, which is 0.84 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 12** Spur gear with pinion Z 35 module 0,6 Shaft passage diameter: 2,55 mm External diameter: 21,96 mm Pinion: Z 9 module 0,75 External diameter of 8,63 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 35 * 0.6 = 21 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 21) / 35 = 1.20 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.6 mm. The dedendum is equal to 1.4 times the module, which is 0.84 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 13** Spur gear with pinion Z 46 module 0,5 Shaft passage diameter: 2,55 mm External diameter: 23,55 mm Pinion: Z 12 module 0,5 External diameter of 7,10 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 46 * 0.5 = 23 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 23) / 46 = 1.26 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.5 mm. The dedendum is equal to 1.4 times the module, which is 0.7 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 14** Spur gear with pinion Gear: Z 47 module 0.5 Shaft passage diameter: 2.55 mm External diameter of gear: 24.05 mm Pinion: Z 9 module 0.75 External diameter of pinion: 6.75 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 47 * 0.5 = 23.5 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 23.5) / 47 = 1.26 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.5 mm. The dedendum is equal to 1.4 times the module, which is 0.7 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 15** Spur gear with pinion Z 13 module 0,6 External diameter of 9,10 mm Pinion: Z 28 module 0,6 External diameter of pinion: 14.56 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 13 * 0.6 = 7.8 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 7.8) / 13 = 1.51 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.6 mm. The dedendum is equal to 1.4 times the module, which is 0.84 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 16** Spur gear with pinion Z 35 module 0,6 Shaft passage diameter: 2,55 mm External diameter: 21,96 mm Pinion: Z 9 module 0,75 External diameter of 8,63 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 35 * 0.6 = 21 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 21) / 35 = 1.20 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.6 mm. The dedendum is equal to 1.4 times the module, which is 0.84 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 17** Spur gear with pinion Z 46 module 0,5 Shaft passage diameter: 2,55 mm External diameter: 23,55 mm Pinion: Z 12 module 0,5 External diameter of 7,10 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 46 * 0.5 = 23 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 23) / 46 = 1.26 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.5 mm. The dedendum is equal to 1.4 times the module, which is 0.7 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 18** Spur gear with pinion Gear: Z 47 module 0.5 Shaft passage diameter: 2.55 mm External diameter of gear: 24.05 mm Pinion: Z 9 module 0.75 External diameter of pinion: 6.75 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 47 * 0.5 = 23.5 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 23.5) / 47 = 1.26 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.5 mm. The dedendum is equal to 1.4 times the module, which is 0.7 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 19** Spur gear with pinion Z 13 module 0,6 External diameter of 9,10 mm Pinion: Z 28 module 0,6 External diameter of pinion: 14.56 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 13 * 0.6 = 7.8 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 7.8) / 13 = 1.51 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.6 mm. The dedendum is equal to 1.4 times the module, which is 0.84 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 20** Spur gear with pinion Z 35 module 0,6 Shaft passage diameter: 2,55 mm External diameter: 21,96 mm Pinion: Z 9 module 0,75 External diameter of 8,63 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 35 * 0.6 = 21 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 21) / 35 = 1.20 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.6 mm. The dedendum is equal to 1.4 times the module, which is 0.84 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 21** Spur gear with pinion Z 46 module 0,5 Shaft passage diameter: 2,55 mm External diameter: 23,55 mm Pinion: Z 12 module 0,5 External diameter of 7,10 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 46 * 0.5 = 23 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 23) / 46 = 1.26 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.5 mm. The dedendum is equal to 1.4 times the module, which is 0.7 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 22** Spur gear with pinion Gear: Z 47 module 0.5 Shaft passage diameter: 2.55 mm External diameter of gear: 24.05 mm Pinion: Z 9 module 0.75 External diameter of pinion: 6.75 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 47 * 0.5 = 23.5 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 23.5) / 47 = 1.26 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.5 mm. The dedendum is equal to 1.4 times the module, which is 0.7 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 23** Spur gear with pinion Z 13 module 0,6 External diameter of 9,10 mm Pinion: Z 28 module 0,6 External diameter of pinion: 14.56 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 13 * 0.6 = 7.8 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 7.8) / 13 = 1.51 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.6 mm. The dedendum is equal to 1.4 times the module, which is 0.84 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 24** Spur gear with pinion Z 35 module 0,6 Shaft passage diameter: 2,55 mm External diameter: 21,96 mm Pinion: Z 9 module 0,75 External diameter of 8,63 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 35 * 0.6 = 21 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 21) / 35 = 1.20 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.6 mm. The dedendum is equal to 1.4 times the module, which is 0.84 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 25** Spur gear with pinion Z 46 module 0,5 Shaft passage diameter: 2,55 mm External diameter: 23,55 mm Pinion: Z 12 module 0,5 External diameter of 7,10 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 46 * 0.5 = 23 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 23) / 46 = 1.26 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.5 mm. The dedendum is equal to 1.4 times the module, which is 0.7 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 26** Spur gear with pinion Gear: Z 47 module 0.5 Shaft passage diameter: 2.55 mm External diameter of gear: 24.05 mm Pinion: Z 9 module 0.75 External diameter of pinion: 6.75 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 47 * 0.5 = 23.5 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 23.5) / 47 = 1.26 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.5 mm. The dedendum is equal to 1.4 times the module, which is 0.7 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 27** Spur gear with pinion Z 13 module 0,6 External diameter of 9,10 mm Pinion: Z 28 module 0,6 External diameter of pinion: 14.56 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 13 * 0.6 = 7.8 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 7.8) / 13 = 1.51 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.6 mm. The dedendum is equal to 1.4 times the module, which is 0.84 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 28** Spur gear with pinion Z 35 module 0,6 Shaft passage diameter: 2,55 mm External diameter: 21,96 mm Pinion: Z 9 module 0,75 External diameter of 8,63 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 35 * 0.6 = 21 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 21) / 35 = 1.20 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.6 mm. The dedendum is equal to 1.4 times the module, which is 0.84 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 29** Spur gear with pinion Z 46 module 0,5 Shaft passage diameter: 2,55 mm External diameter: 23,55 mm Pinion: Z 12 module 0,5 External diameter of 7,10 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 46 * 0.5 = 23 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 23) / 46 = 1.26 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.5 mm. The dedendum is equal to 1.4 times the module, which is 0.7 mm. ## Step 4: Draw the tooth profile of the gear. **Problem 30** Spur gear with pinion Gear: Z 47 module 0.5 Shaft passage diameter: 2.55 mm External diameter of gear: 24.05 mm Pinion: Z 9 module 0.75 External diameter of pinion: 6.75 mm ## Step 1: Calculate the pitch circle diameter (PCD) of the gear. The PCD is calculated by multiplying the number of teeth by the module. PCD = 47 * 0.5 = 23.5 mm. ## Step 2: Calculate the base pitch of the gear. The base pitch is calculated by dividing the circumference of the PCD by the number of teeth. Base pitch = (2 * π * 23.5) / 47 = 1.26 mm. ## Step 3: Calculate the addendum and dedendum of the gear. The addendum is equal to the module, which is 0.5 mm. The dedendum is equal to 1.4 times the module, which is 0.7 mm. ## Step 4: Draw the tooth profile of the gear.
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