Posted by Hopper on 15/01/2023 07:57:26:
Posted by SillyOldDuffer on 14/01/2023 14:11:40:
Posted by Hopper on 14/01/2023 11:49:44:
So much for the theory that you can't/shouldn't gear a lathe to cut threads coarser than the leadscrew pitch. Only about 8 times the pitch there. Makes all the palaver about cutting 4TPI on a Myford seem a bit moot. But that is what comes from living where you can't just order anything you want on the net and have it delivered next day. Miracles performed daily, the impossible may require a short wait.
Physics accurately predicts the forces resulting when cutting threads coarser than the leadscrew, and the numbers provide strong guidance to anyone who understands them.
The physics is a scientific Law, not a theory. The maths is rock solid, not a matter of opinion,
So where are the maths, the calculations, to support your unsubstantiated hypothetical assertions?
…
Any basic physics book; they almost all start teaching physics with the most basic of all machines, the lever. The maths, first captured by Aristotle, is irrefutable and it leads directly to another fundamental engineering truth, which is Work = Force x Distance. This simple calculation underpins almost all machine design.
This video is an OK introduction. Many school textbooks available, and they've all being saying the same thing for millennia. The science of levers has been tested in every conceivable way, and so far no-one has found a flaw.
Lead-screws are a form of lever, as are all screw-threads, wheels, wedges, hinges, nutcrackers, pliers, cricket bats, jacks, gears and pulleys etc. Many machines, including lathes, are some combination of levers, making it possible to design them rationally. A lathe bed is designed to take a certain weight, as are the bearings. The lead-screw, gears and pulleys are all calculated to achieve particular spindle and slide movements, and the motor sized to do the planned work. Nothing breaks for 'n' years provided the machine stays within its predicted work-envelope – how hard and how long it's expected to work.
But, because materials are imperfect, machines are always designed with an additional safety factor. Customers rarely know what the safety factor is: 1.5x is common for lightly loaded non-critical items, and it can be has high as 30x for safety critical items.
It's the safety factor that allows machines to be ignorantly overloaded without breaking them instantly. But this kind of practical experience is misleading. The most likely effect of moderate overloading is an invisibly increased rate of wear, not catastrophic failure. Seems OK, but there's no such thing as a free lunch.
A crane hook rated to 100kg (5x safety factor) will apparently lift a 500kg load without bother, but that doesn't make it wise or safe. Doing it a few times proves nothing, because the overstressed hook is only starting to fail, a process that might be quick or slow depending on a multitude of unknowns. Assuming he's got it right, the designer knows that the hook will last almost indefinitely within specification. The practical man has no idea: he can only suck it and see, and probably only has limited facilities. Outside the design parameters, everything is a gamble. Engineers are allowed to take calculated risks, but they should never rely on luck.
Hobby lathes are unlikely to be designed with the same safety factor as industrial machines.
I often take risks with tools to get the job done, but it helps to have a feel for how bad the abuse is before starting. One way of finding out that lathes can be damaged by cutting threads below lead-screw pitch is to jump in optimistically at the deep end and damn the torpedos! A better way, not always possible, is to understand the extent to which the work will overstress the lathe and approach the job with suitable caution. Popping the electronics on a mini-lathe is an expensive way of confirming the machine was asked to do too much, especially if intelligently slowing down the metal removal rate would have avoided the extra expense and bother.
Anyone who doesn't believe in the science of levers is invited to do a 6 hour motorway journey at 70mph in second-gear only. Perfectly possible to do hill-starts in second-gear, and most cars will accelerate well up to 70mph and stay there. Although driving that way works in practice, theory predicts it's not a good idea…
Dave