Mark2020 said:
I don't speak about what happens between the threads. You perfectly clarified that and thank you! I am just addressing the following situation. I will express it in a series of short statements:
1.Fastener screw advances into a nut because of force coming through a wrench
2.Imagine (1) as a picture without the wrench in it (however is still acting)
3.Imagine (2) from a large distance where the screw and the nut threads are not visible (due to distance)
4.Because of (3) the observer (from a distance) sees a screw fastener advancing into a nut or vice versa
5.We know what happens between the threads, when we are very close to the fastener screw-nut system
6.Because of (3) the observer (from a distance) has the impression that a rectilinear contact force applies along the rotation axis of the screw fastener or along the rotation axis of the nut. This happens because he cannot see the screw threads from that distance. Or simply we cover the threads from the naked eye and we stay close to the screw fastener and nut.
Is it clear up to now or am I wrong somewhere in between?
I may be coming to an understanding of what you are trying to say. Let me try to put it differently.
We are trying to describe the nut and screw interaction as something of a black box. We cannot see the details of the interface. The only things we can observe is the resulting behavior of the objects.
We may begin by considering the bolt to be fixed (perhaps its head is clamped in a vise).
We have a nut threaded onto the bolt. We have a torque wrench applied to the nut.
From a distance, we can observe the position of the nut on the bolt, the rotation angle of the nut and the reading on the torque wrench. And perhaps we are allowed to give orders to the fellow with the wrench.
We may observe, for instance, that the nut is constrained so that it orientation is always parallel to the bolt. Its position is always centered on the bolt. Importantly, its rotation angle is a fixed multiple of its linear position along the axis of the bolt. We may not know whether we have a thick bolt or a thin. We may not know whether we have course threads or fine. But we do know the ratio of rotation to linear displacement.
Let me add something to the system. A spring and a washer. As the nut advances onto the bolt, it moves the washer which in turn compresses the spring. From our far away vantage point however, we know nothing about the nature of the spring.
We can watch as a fixed torque is applied and the nut makes steady progress down the shaft.
We can compute the rate at which energy is supplied to the system -- power = torque times rotation rate.
If there were no friction, we would conclude that mechanical energy must leave the system somehow. It might be going into the spring. It might be dissipated as friction in the threads.
I will make a claim here: With the measurements available to us from our far away vantage point we cannot distinguish between the two possibilities.