Shaft radius from shear modulus

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SUMMARY

The discussion centers on determining the shaft radius for a motor design using shear modulus and shear stress of steel. The user struggles to find specific material properties, particularly the maximum shear stress and the angle of twist for the shaft. A suggestion is made to use shear yield stress, approximated as 0.6 times the tensile yield stress for low to medium carbon steels. The conversation emphasizes the importance of understanding material properties and acceptable angles of twist in mechanical design.

PREREQUISITES
  • Understanding of shear modulus and shear stress in materials
  • Familiarity with torsion equations and their applications
  • Knowledge of material properties, specifically for steel grades
  • Basic principles of mechanical design and torque calculations
NEXT STEPS
  • Research the relationship between shear yield stress and tensile yield stress for different steel grades
  • Learn how to calculate the angle of twist in shafts using torsion formulas
  • Investigate acceptable limits for angle of twist in motor shaft applications
  • Explore material property databases for specific shear stress values of various steel types
USEFUL FOR

Mechanical engineers, motor designers, and materials scientists seeking to optimize shaft design and understand material properties in mechanical applications.

fahraynk
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Hi. I am trying to determine the size of a shaft for a motor I am designing. The thing is, I can't seem to find shear stress alone for steel. I can find shear modulus easy though... But I don't really know the angle of twist. I know torque and I am trying to figure out radius.

Should I just set angle of twist really low and get it that way? What is a reasonable angle of twist for a motor shaft... 0.5 degrees? I was just going to find similar torque motors and plug their shaft radius into the torsion equation but I would like to know how they determine it from the Shear modulus from scratch. I am guessing guess the angle...
 
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Just to be clear - is your problem with doing the calculations or with finding material properties for the steel that you are using ?
 
Nidum said:
Just to be clear - is your problem with doing the calculations or with finding material properties for the steel that you are using ?

It is with finding material properties. I never thought about angle of twist for a rotor shaft. I don't really know what acceptable margins of this are. I was trying to find a maximum shear stress of various types of steel but could only find a shear modulus. To use the shear modulus you need to know the angle of twist (I think).
What metric would tell me the maximum angle of twist before the shaft reaches a plastic zone? That way I could plug that angle into the shear modulus to get the maximum shear stress.
 
fahraynk said:
I can't seem to find shear stress alone for steel.
Try "Shear Strength".
 
For ordinary low/medium carbon steels and approximate calculations you can assume shear yield stress to be 0.6 times tensile yield stress .

What grade of steel are you actually using ?
 

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