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Need help with sloppy wedge

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The end of the arbor is .175" thick. If I drill/tap for a 1/4-32, I'll have only 5.6 threads. 1/4-28 gives 4.9 threads. What do you say, Mike? Is that enough of should I make a wider wedge?
There's a calculation for minimum thread depth, which for 1/4-28 at 75% thread depth gave me .146" of thread (about 4 threads). This is just a guideline when using similar strength materials, like steel-into-steel in this case. If this were for the space shuttle we'd have to use a more comprehensive formula.

https://www.engineersedge.com/calculators/fed-h28-minimum-thread-engagement.htm
 
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