Ron Gratz wrote:
JBarca wrote:
Hi Ed, Welcome to the discussion! When you came up with 1,000# per chain load, what are the assumptions surrounding this?
John, I don't know how Ed did it, but here is my approach to defining the relationship between tension and load transfer.
First we need to define some dimensions and variables. Let:
a = tow vehicle wheelbase
b = ball overhang (longitudinal distance from TV rear axle to ball)
c = distance from ball to mid-point between the TT's axles
d = perpendicular distance from Andersen chain to center of ball (reported by Andersen owner to be 6.5")
TW = tongue weight
LTT = load transferred to TT's axles
LF1 = load removed from TV's front axle due to TW without WD applied
LF2 = load transferred to TV's front axle when WD is activated
T = Andersen chain tension per chain
M = moment (torque) generated by Andersen chain tension (total for 2 chains)
then (assuming zero pitch-axis rotational friction between ball and coupler)
M = 2*d*T
LTT = M/c = 2*d*T/c
LF2 = LTT*(b+c)/a = 2*d*T*(b+c)/(a*c)
also
LF1 = TW*b/a
If we want to restore a load equal to some percentage (call it FALR) of that which was removed from the front axle, we have:
LF2 = LF1*FALR/100, or 2*d*T*(b+c)/(a*c) = FALR*TW*b/(a*100)
solving for chain tension (per chain) gives
T = FALR*TW*b*c/{2*d*(b+c)*100}
for example, if: b=60", c=200", d=6.5", TW=600#, and you want to restore 50% of the load removed (FALR=50)
T = 50*600*60*200/(2*6.5*260*100) = 1065# per chain
Ron
Now this calculation makes me smile - it has been many years since my Statics and Dynamics classes! I especially like it because it shows my main assumption might actually be correct. But I will disclose how I came up with the 1,000# per chain estimate: several posts discussed a similar setup as mine that had various real measurements that showed about 1,000# per chain transferring the correct amount of weight to the front axle.
Ron's comment about the safety spec requiring that force for only 5 seconds is very relevant new information for me.
So a simple comparison (using rough estimate numbers - not exact) might be like this:
8 hours = 28,800 seconds. Let's round up to 30,000 seconds for a long day of driving.
And I have a 14,000# rated coupler.
Safety spec requires 3X the coupler rating for 5 seconds:
42,000# force for 5 seconds required by safety spec.
Andersen WDH exerts a constant baseline force:
2,000# force for 30,000 seconds
(Caution: THIS 2,000# force number will vary significantly for each rig)
Traditional WDH exerts a constant baseline force closer to zero.
Both couplers experience lots of dynamic forces from road use in all directions on top of the baseline (static) force.
So the obvious difference (as everyone following this thread knows and I am catching up on) is the Andersen WDH has a constant baseline force applied to the coupler in a rear direction.
And the baseline force on the coupler will vary significantly per rig depending on how much force is needed to get proper weight distribution.
And one coupler type (Atwood 88xxx series) so far has been shown to not like that constant baseline force.
Very enlightening.
And my 1,000 lbs per chain assumption is quite different from John's calculations that show almost 3,000 lbs. per chain for his 1,400# tongue weight setup.
John's calculations.I guess for now the bottom line for me is the more you have to compress the urethane bushing for proper weight distribution the more baseline force you are putting on the coupler. Know your coupler and keep an eye on it.
I just went outside, laid down on the gravel and looked "up" at the inside of my coupler for the first time. (Sunday morning in my pajamas:) )
What a great forum.
Ed