Hi John,
I'm not ignoring your post. A few days ago I began
this thread on airforums.com.
So far, nobody has produced any reports of bar damage resulting from an "underhitched" setup.
That doesn't mean there has been no damage -- just means nobody has reported any.
In the meantime, I've reviewing our
"back flex" discussions and
"compound angle" discussions.
JBarca wrote:
With the hitch head titled both back from the "back flex", one bar carrying the majority of the load as the head tilt created this, in this condition the TW provides the downward push on the ball to generate the tension that the WD bar is now positioned at. The bar is being asked to provide more force exertion. In this condition, the heavier TW will result in more bar flex then a lighter TW. Did I mix this up? The combination is asking the WD bar to deliver more force and thus more flex.
First, let's go back to the condition where there is no "back flex" and no "compound angle".
Assume the TW is 1200# which causes 600# to be removed from the TV's front axle.
Assume the 1200# bar is adjusted to restore 600# (FALR = 100%) while the 600# bar is adjusted to restore 300# (FALR = 50%).
This might require an upward force of 1200# on each 1200# bar and 600# on each 600# bar.
Assume both the "1200# bar" and the 600# bar would have 3" of curvature. I.e., the 1200# bar has a "stiffness" of 400 lb/in and the 600# bar would be 200# lb/in.
The "compound angle" condition is a combination of a dip and a turn. The dip has the same effect as increasing the rearward tilt of the hitch head -- it increases the bar curvature.
The turn can have two effects. The tilt of the trunnion axis can cause a increase or decrease in bar curvature, depending on turn angle.
The turn also can cause the outside bar to "rise up" over the cam, having an effect similar to increasing the rearward tilt -- curvature increases.
The net effect of dip plus turn most likely will be an increase in bar curvature.
Now, a fundamental question: Is the change in bar curvature dependent on WD bar stiffness?
My belief is that bar stiffness does not have a significant effect on either the dip contribution or the turn contribution.
The dip contribution is determined primarily by the TV and TT dimensions and the geometry of the dip.
The turn contribution is determined primarily by the tilt of the trunnion axis and the slope of the rear end of the WD bar.
If the change in curvature is not dependent on bar stiffness, then the amount of change should be essentially the same whether using the 600# bar or the 1200# bar.
And, if the 600# bar is half as "stiff" as the 1200# bar, the added force exerted on the 600# bar should be half as much as that added to the 1200# bar.
The percentage increase in load for both bars would be the same.
Granted these turns do not happen all the time, but they do happen. We never yet solved the heavy snap up failure of when the DC is added to a hitch so this force does exist on one WD bar as proven by several ORF members.
I agree. I've calculated that the turn effect by itself can increase the load on a bar by approximately 50%.
But that does not mean the percentage increase in load for a 600# bar would be greater than for a 1200# bar.
If we knew the working displacement limits of these spring bars before we approach the yield point, then I could agree using a 600# WD on a 1,200# TW and only shoot for 50% FALR providing the rest of the hitch can handle it. As long as the flexure of the WD bar does not exceed the working limit, it can flex many times to this limit and not deform. One too many times over that limit and it will stay bent.
As long as the compliance (inverse of stiffness) of a 600# bar is twice that of a 1200# bar, and they are required to flex the same amount, I see no reason to believe the 600# bar would be more susceptible to damage.
I agree we may not get the hitch mfg's to help sort this out for us for many years to come. And yes, I'm glad to see the shift from "equal squat" finally in print and especially from Progress Mfg. And in their case, would they warrant a 600# WD hitch system with 600# WD bars on a 1,200# TW? Good question.---
Let's go back to the 1200# bar generating 600# of load restoration and the 600# bar generating 300# of load restoration. Assume both bars have 4" of curvature.
Assume a "compound angle" condition causes both bars to have an increased curvature of 1.5".
The load on the 1200# bar would increase by 50% -- 400*1.5 = 600#.
The load on the 600# bar also would increase by 50% -- 200*1.5 = 300#.
I don't see any reason to believe the 600# bar would be any more likely to sustain damage due to the "compound angle" condition than would the 1200# bar.
I have developed numerical models which predict "back flex" and "compound angle" curvature and load effects on WD bars.
I'll let you know if I come up with any different conclusions.
Of course, the conclusions are only as good as the assumptions on which the models are based. I'll also be giving the assumptions more thought.
Ron