What decrease in torque can be expected with a 3mm hex compared to a 4mm hex?

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Switching from a 4mm hex to a 3mm hex in set screws is expected to result in a torque decrease of about 40%. This estimation assumes that the materials and hex depth remain unchanged. The torque limiting device should be set accordingly to prevent stripping the 3mm hex. Further details and calculations can be referenced in related physics discussions. Accurate torque application is crucial for maintaining the integrity of the smaller hex.
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I have done mechanical testing on a set screw with a 4mm hex and its driver. I now have a set screw with a 3mm hex. Without the time and expense of making parts and testing, I want to know the percentage decrease in maximum torque that the set screw and/or driver will be able to withstand on the 3mm hex. I am getting a torque limiting device and I need it to be used for both set screws and I don't want it to strip the hex on the 3mm driver by being too large of a value.

If the materials and hex depth do not change (only change is 4mm to 3mm hex), what decrease do I expect to see in the 3mm hex?

Thanks,
sbbiomed
 
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If I understand your question correctly, you should use about 40% of the 4 mm torque when tightening the 3 mm screw.
 
How did you get 40%

How did you get to 40%?
 
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