Should I be concerned about the span-wise balance of the Vee-tail?
In the process of building the Chrysalis I received as a Christmas gift (what a wife!), and just finished initial construction of the V-tail. I've
noticed that one side is heavier than the other. Obviously spanwise balance
is important, especially in the wings, but should I also be concerned about
the tail, since the moment is so much shorter?
From Don Stackhouse :
Dave, interesting question but it's not a significant problem. Even lateral
balance of the wing isn't that significant unless it's WAY off. The extra
weight you would add to the tail trying to laterally balance it
unnecessarily would cause much bigger problems than the lateral balance
itself. What really matters is lateral balance of the finished aircraft,
and even that is only an issue if it's off enough to cause one wing to
stall significantly before the other. Unequal washout settings between the
two sides of the wing are far more important, and even minor variations in
that from normal construction tolerances will totally overshadow any
reasonably normal lateral balance discrepancies.
Now I can hear the purists out there shouting "Oh, yeah, Don, prove it!"
OK, lets look at a hypothetical case using a typical 59" span, 400 sq. in.
hlg as the "guinea pig". Lets assume that somehow you built the model so
far off that it needed 1/4 ounce (more than 2.5% of the total aircraft
weight for some Chrysali, and more than 6% of the wing weight, a relatively
huge discrepency) in one wingtip to balance properly. Let's also say that
the Mean Aerodynamic Chord (or MAC) is 14" out from the fuselage. This
depends on planform, but that's a reasonably typical number. 1/4 oz. at the
tip equals a difference in lift between the left and right wings (measured
at their MAC's) of 1/4 oz. x 29.5"/14", which is about .53 oz. We decide to
make a slight washout increase on one side and a slight decrease of the
same amount on the other side to generate the correction of .26 oz. of lift
for each wing.
How much change is needed? A typical airfoil for a hlg changes its lift
coefficient by about .1 for each degree change in its angle of attack, and
at 15 mph (a fairly typical airspeed for a hlg), the change in lift
coefficient required is about .02, so the angle change required is about
0.20 degrees, or about .024" at the MAC (less than 1/32"!), or about .051"
at the tip.
Measurable, yes, but within the range of washout errors we see. And
remember, this is for a relatively huge balance error in the wing. To get
the same effects from an un-balanced tail, the discrepency would have to be
about 4 times bigger than that!
What you would see in this particular case is a tendency to roll slowly to
one side at high speeds and the other way at low speeds. You would also see
this phenomenon in a model with washout discrepencies that has been trimmed
out with rudder, or tail alignment problems trimmed out with aileron. In
fact, this change in lateral trim with airspeed occurs just about any time
you fix a problem in one parameter by adjusting something else. No great
surprise here.
Tail lateral balance just isn't a problem in any but the most extreme
cases. Instead of worrying about the balance issue too much, concentrate
that extra effort on building the model as straight and warp free as
possible. This is far more sensitive and important than lateral balance.
Just build it straight and go have some fun. Good luck with your Chrysalis!
Don Stackhouse @ DJ Aerotech
djarotec@bright.net
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