My thought is there is no formula that will cover all JKs.
The easy way to see what the shift will be for a particular JK is get a stick the length of the track bar, hold one end on the top bolt, and swing the bottom end downward, watching how much the end moves toward the center of the vehicle.

 

So you are assigning C as the track bar, B as the distance between the track bar body mount and the axle, and A as the distance from the track bar axle mount to an imaginary vertical line drawn from the track bar body mount to the axle. This line has to include a 90 degree angle for the theorem to apply.

As the axle drops, the distance between the track bar body mounting point and where it meets the axle at a right angle (B) changes, as does the distance between the axle side mount of the track bar and the imaginary vertical line from the track bar body mount (A).

 

You do have to figure the base line to have something to compare it to in order to find the distance it moves but the formula should work on any jeep.

 

http://www.montereyinstitute.org/cou...container.html

 

The 90 degree angle does not change as A changes in length showing the amount of shift. The other two angles are the ones that change.

 

The lengths of A and B change, not the angle.

 

OK. I see what you are saying about the formula. One would have to go out to the Jeep and take some measurements.

What I was getting at was, it can't be said an inch of lift will result in a standard shift that can be said for all JKs, which is what I think the original post was searching for. In fact, the variable nature of the shift value is pointed out in the first post.

 

OK, I see where you are coming at and three there is no basic numbers for lift/axle shift for all vehicles.

 

There's some interesting math here, that I wish I was more adept at constructing.

If the original equation, from the drawing is:

a² + b² = c²

The equation once the Jeep is lifted is:

(a-S)² + (b+L)² = c²

Where L is the amount of lift and S is the amount the axle will shift.

I sat and tried to put my high school trigonometry to work and didn't come up with something even close. The biggest problem is that the equation is not linear. I wish I was better at this. There still would not be any definitive answer, but a formula could be built in which you could plug some number in and get your axle shift.

 

Or we can go under our Jeeps with a stick and have the amount of shift in about 2 seconds.