How to obtain Allowable Shear Stress

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SUMMARY

The discussion focuses on calculating the maximum allowable shear stress for a 4340 steel shaft with a diameter of 30 mm. Participants confirm that the maximum shear stress can be derived from the tensile strength using established ratios: the maximum shear stress theory suggests Ssy = 0.5Sy, while the distortion-energy theory indicates Ssy = 0.577Sy. Additionally, the impact of heat treatment on the yield and ultimate strength of SAE-4340 is addressed, with references to the Machinery's Handbook for estimating tensile properties based on hardness.

PREREQUISITES
  • Understanding of shear and tensile stress ratios
  • Familiarity with SAE-4340 steel properties
  • Knowledge of heat treatment processes and their effects on steel
  • Access to Machinery's Handbook for reference on material properties
NEXT STEPS
  • Research the effects of heat treatment on SAE-4340 steel
  • Study the maximum shear stress theory and distortion-energy theory in detail
  • Explore the relationship between Rockwell hardness and tensile properties
  • Review material property databases such as MatWeb for specific alloys
USEFUL FOR

Mechanical engineers, materials scientists, and anyone involved in the design and analysis of steel components, particularly those working with 4340 steel and its applications in engineering.

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If not specified directly by your materials reference, a general rule of thumb is that the theoretical ratio between shear and tensile stress for a homogeneous, isotropic material is 0.577.
 
you are looking in terms of yield strength, the max shear stress theory and max distortion energy theory help.

Max shear stress: Ssy=.5Sy
Distortion-Energy theory: Ssy=.577Sy
 
Thanks everyone.
I get the answers 0.5X, right ^_^.

Btw, I wonder what's the effect of Heat Treament on SAE-4340/ any steel. for example Quenching.

What's the multiply factor on Yield and ultimate strength?
 
If you look in Machinery's Handbook, there is a nice section relating steel hardness to a relatively accurate form of estimating tensile properties. When you heat treat something, usually a Rockwell or some other hardness is mentioned as a requirement.

In my latest copy (26th edition) it starts on page 473-474.

My company did some internal testing quite some time ago with a lot of different alloys and found a relatively good relationship between the two parameters. The Machinery's section is pretty good.
 

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