I have a smaller lather Smithy 12x20 aprox 500 lbs I have no other option for space than my 12x16 shed
The shed sits on blocks on gravel
The floor was over built. 2x10 with 3/4” PT then 3/4 TG
I have 12x12x1/4” steel plate under each foot of the factor steel bench. Luck enough the feet fall right on the joists.
I have done a lot to get the lathe running well but I feel like im at the point I need to check for twist in the ways.
Mac, just another "opinion." To me the beginning is a solid base and a way to level/remove any twist from the bed with minimum effort. Without these two, anything done later can and will be undone when they change.
Start with making what the machine sits on as solid as possible. 1st spread the load across as many joists as possible on a continuous "something" solid. It's always a balance between |Good|Quick|Cheap| and generally you can have any two. 2 layers of 1-1/2" press board is a 8' X 4' X 3" base. It won't over load the joists and will resist sag. I'd also consider putting solid cinder blocks under each joist and shim them into contact. This is the same idea as lathe installation guidance on a second floor as was pretty common.
Now you have eliminated what you can towards a solid base. You can retain the square plate, but the factory steel bench is, IMHO, fine.
"If" it has holes in the feet, I'd install leveling feet with long threaded shafts. This is so starting at the foot end, using all grade 8 hardware, you have a nut, a washer, the machine foot, a nut, and then at the end of the shaft, two nuts jammed together. The last nut should be flush or can be a grade 5 acorn nut. FWIT, this is how a Monarch 10EE 3,200 lb lathe is leveled. It is not bolted to the floor.
The nuts above the feet are left loose, the top jammed nut is used to rotate the shafts to level the machine. Then the nut above the foot is tightened.
If you don't have convenient holes in the feet, the idea is still the same, you will have to decide between something similar or shims between the machine and the stand.
Now you have a solid base, and have removed any twist from the bed without having to, hopefully, shim between the machine and the factory stand.
Only after this can you reliably use test bars etc. to learn the nuances of your machine and see what can be altered, and what you will learn to work around.
Just my $.02