Backlash compensated Nut Design , 

Nicely shown old ideas. There are all asynmmetrical though and need not be. The cheap way of achieving a taper push apart thread as seen in 'three' is as follows. Use a screw threading tap but only the first taper tap. Then insert a grub screw and it will push apart the thread wall sides. Very useful for making a central plug to hold something cylindrical on a lathe. Turn a centrally fitting piece, drill the centre, tap with the first tap, then cross cut and insert grib screw and watch the four quadrants move out.

Very well illustrated!!

Very good work bro. Your all videos are amazing and informative.

to let it last longer ... both side have to be the same length !

Two straightforward ways of accomplishing the goal. They are superior to spring loaded design for use in machining applications where tool forces are bi-directional and nut offers good rigidity in one direction and only spring force to overcome tool force in the other direction. Your third method... not so impressive. A thread with sufficient taper to accomplish this would be far from easy and cheap. Good ideas. I would not worry about a difference in strength caused by differing thread length between the two sides of the nut. If it is an issue you could simply split the nut in the center.

thank you so good

Why not use a bearing and press it into the thread?

Third option kinda hard to machine out, yeah? First one definite my first choice for ease of application.

Asymmetrical loading on the threads will give poor longevity and diminished capacity due to uneven wear on the adjusting nut.

old idea, I have a 1930's lathe with similar backlash adjustment and another with a tapered wedge adjusting the split nut with EVEN force giving even wear. Sorry but your design variations of a old idea are poor

It works, but the system have not the same strength in both directions.

Yes, this is the cheap and old way but NOT friendly for your thread

Smart. Thanks

Great!!!!!

Don't reinvent the wheel

This is nothing new , quality build machines have had similar nuts for decades.

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