I want to say these discussions are a bit interesting. My background is Mechanical Engineering and Physics.
(Spyder, I see you just responded again. You strike me as having a handle on these things. That other thread about the 3PH "lift" capacity proved that to me in the end. What's your background?)
Let me throw this out there to try to help with understanding... This can be broken down to a system of balanced forces and looking at the critical cases of impending movement.
The first illustration is of the
only forces acting upon the tractor. Any question of the pulling action can be broke down into these components.
These forces are:
- Driving force on the tires, front and rear acting to propel forward, is a result of the axle torque of the machine.
- Drawbar force acting to oppose the driving force
- Gravity acting upon the CG of the tractor
- Support force on the tires acting to oppose the gravity force
That's it, nothing more. Talking about the torque of the axle just confuses the topic in that the only function of the torque is to produce the driving force on the tractors tires.
Now, look at the forces as they act about the pivot point of the rear tire contact patch (F
Xd). Sum the moments of these forces and that will tell you if you could get rotation. If the drawbar force is large enough, or more correctly the moment, the tractor will come to a point of rotation about the tire contact patch. Every force (it's moment) is trying to rotate the tractor counter-clockwise, except the drawbar force. Look at the drawbar moment as a function of the lever arm. The lever arm is always acting to rotate in a clockwise direction. Always. If the tractor is rotating, the lever arm is getting shorter and reducing the tipping moment.
This is the safety feature of a properly located drawbar; a longer and lower drawbar is quicker acting to remove the lever arm, and thus the moment.
You can move the "drawbar" force to a point below the ground to make a moment that wants to rotate the tractor onto the front tires. This is accomplished by a rigid attachment (3ph of appropriate geometry) effectively extending the machine to a point below the ground surface.
*Now the disclamer- this is not accounting for any theoretical dynamic transient situation where an axle torque could result in popping a wheelie, or a tire frozen to the ground