Calculating Spur Gear Transmissions - Step-by-Step Guide

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SUMMARY

This discussion focuses on calculating spur gear transmissions, specifically addressing the parameters such as rotational speed (n = 1000 rev/min), torque (Mt = 28.65 Nm), transmission ratio (i = 4), and load (P = 3 kW). Key considerations include material selection based on load, work conditions, and compatibility to prevent electrochemical corrosion. The recommended starting point for calculations is a minimum of 19 teeth on the pinion and 75 on the bull gear to achieve an effective gear ratio.

PREREQUISITES
  • Understanding of spur gear mechanics and calculations
  • Familiarity with material selection criteria for mechanical components
  • Knowledge of gear ratios and tooth count implications
  • Basic principles of torque and power in mechanical systems
NEXT STEPS
  • Research material selection processes for gears, focusing on corrosion resistance and load capacity
  • Study gear design principles, including the calculation of gear modules
  • Explore the implications of tooth count on gear performance and wear
  • Learn about the effects of lubrication on gear longevity and efficiency
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Mechanical engineers, gear designers, and students studying mechanical design who are involved in the calculation and selection of spur gear systems.

maths85
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Hello.

I need to calculate spur gear transmissions.
I need a bit of guidance for the first steps.
The data is the next:
n= 1000 rev/min
Mt torque= 28.65 Nm
i transmission ratio= 4
P load in the shaft= 3kW

upload_2016-11-24_17-25-29.png


I am a bit lost to star selecting the material (depending the load and work conditions).
The strees of the transmissions and the module of the gears.

I understand that I need to check the material in a catalogue of materials. But honestly I am lost trying to select the right one and fail at the beginning of my calculation of gears.Later on when I have to calculate the module, which date should I set as I random number, the number of teeth then I will be able to calculate the module later.

Thank you.
 
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Material selection will be decided by things like corrosion, lubrication and loads. You must be able to economically cut, finish, and then if possible, harden a gear.
The gears, shafts, bearings and enclosure must be compatible materials that will not encourage electrochemical corrosion.

Start your calculations with a minimum of 19 teeth on the pinion and 75 on the bull gear which gives a ratio of 3.947. Those tooth counts have no common factors and so will give a “hunting tooth” that wears evenly since every tooth on the pinion will meet every tooth on the bull gear.
20 : 81 = 4.05 is also possible since 20=2*2*5 and 81=3*3*3*3 have no common factors.
 

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