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Swaybar end geometry, my take

To: autox@autox.team.net
Subject: Swaybar end geometry, my take
From: TeamZ3@aol.com
Date: Wed, 4 Aug 1999 00:28:02 EDT
Think about what a swaybar is and how it works.  I simplify the argument by 
considering only one axle end of the vehicle.  In order for the body to roll 
with a swaybar attached it must carry some portion of the inner unsprung 
weight on that end of the vehicle with it, from which some resulting force is 
transferred torsionally through the bar to the outside tire.  With enough 
tire grip and stiff enough bar the entire inner unsprung weight will be 
carried; the inner wheel will lift off the ground if roll is great enough 
relative to suspension travel.  In reality, the end of the bar located on the 
outside of the turn is, for all purposes, fixed.  However, that's really 
immaterial to the argument.

My argument states that the moments at the ends of the swaybar are equal, not 
the forces.  What is torsion, but a moment, which is force applied a specific 
distance perpendicularly about a centerpoint of, in this case, a shaft.  
Consider the moment equation derived from Newton's Law that for every 
reaction there is an equal and opposite reaction.  Assuming that the end 
links connect to the suspension in identical locations, the body pivot points 
are in identical locations, the diameter and shape of the bar is symetrical, 
etc., etc. :

   (A1xB1) = (A2 x B2)  ... the summation of the moments must equal zero

where A1 = left force, B1 = left arm length, A2 = right force, B2 =right arm 
length

which transcribes to   A1 = A2 x (B2 / B1)

when the arms are equal length B1 = B2 then A1 = A2, the forces are the same

however when the lever arms are a different length the applied forces side to 
side will vary based on the ratio of the lever arm lengths; the applied 
forces are not equal.  The end result is that you'll see a different amount 
of roll in one turning direction than the other based on the bias of the 
forces.  It is the force from the outside bar end that will be transferred to 
the outside tire (indirectly via the various connection points), so it should 
be easy to see that outside tire loading will not be the same at the same 
point of body roll side to side, hence handling balance side to side is 
affected.

Further, very few street bars are the straight, Speedway-style type.  Most 
street bars comprise multiple bends, which changes their character 
dynamically when compared to a straight shaft.  When the bar lever arms are 
identical the bending torsion is distributed equally throughout the bar about 
it's center, resulting in an equal reaction from side to side.  When the 
lever arms are not equal the bending torsion will be biased more to one side 
of the bar than the other.  With a multiple bend type of bar this will result 
in different dynamic reactions of the bar between the two turning directions, 
resulting in an added roll bias force factor; dependent on the particulars of 
the bar.

The again, what the h*ll do I know; I've been wrong before.  Im certainly 
open to opposing arguments.

M Sipe


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