How to obtain Allowable Shear Stress

AI Thread Summary
To determine the maximum allowable torque for a 4340 shaft, the maximum allowable shear stress can be estimated using tensile strength, with a common ratio of 0.577 for homogeneous, isotropic materials. The maximum shear stress can be calculated using either the yield strength or distortion-energy theory, yielding results of 0.5 times or 0.577 times the yield strength, respectively. Heat treatment, such as quenching, significantly affects the yield and ultimate strength of SAE-4340 steel, with specific factors outlined in the Machinery's Handbook. The handbook provides a correlation between steel hardness and tensile properties, which can aid in estimating strength after heat treatment. Understanding these relationships is crucial for accurate engineering calculations.
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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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