1. If you already have the bar, actual measurements would be possible and you could ignore theory unless you were going to attempt to make it adjustable over some range.
2. If you don't have the bar, and the mfr is unwilling or unable to provide you with stiffness data, theory is all you've got.
With respect to item (2), I wish I could remember where I saw a picture of a front sta-bar that was experiencing a visible amount of bending as seen in front view along the central (mostly) torsional section. You know that one is going to be somewhat softer than Puhn's simplified formula suggests. Maybe a lot softer.
If chassis structure does not permit the D-blocks to be located close to the arms, the simplified formulas will again over-predict the stiffness.
It's not that more theory will get the bar designed or properly chosen in one shot. More like if it isn't as stiff as the quickie formulas suggest, you'll know why it's not (and have a better idea how to proceed).
Goran - when I ran problem A through my spreadsheet I was getting very large deflections for the 22.5° model as well, and I doubt that the small deflection thinking associated with standard beam formulas would still fully apply. Those results aren't on this computer (and I think there's a factor of 2 involved as well), but I'll post them later.
Norm