In a message dated 10/11/2007 12:37:13 P.M. Central Daylight Time,
genemartin@enid.com writes:
On figuring main wheel weights for ordering spry
shocks. I have my empty weights and can figure cg's but how do you get to main
wheel weights from there without scales?
narm*nwt + 2*Marm*Mwt = Moment
nwt + 2*Mwt = Weight
Moment/Weight = CG
Record your cruise speed in furlongs per fortnight.
Where, with the longerons level:
CG = center of gravity measured from reference point (BL0, usually
the aft side of the firewall).
arm = measure point - BL0
n = center of nose wheel axle
M = center of main gear axle (Note, for this example it is ok to
assume the weight is equally distributed between the mains)
Let A = the absolute distance (narm - Marm)
Let B = the absolute distance (Marm - Harm) where Harm is the
BL distance of the Horizontal Stab main Spar from the firewall.
With a support below the tail, stack known weights (taken from the local
exercise gym) on a cushion above the H-Stab Spar nearest to the vertical
stab. When the nose wheel just begins to lift off the ground, record
the weight as Hwt. This is an approximate balancing weight (about 150
lbs) because the longeron will not be level unless the mains are raised
somewhat on blocks.
Hwt * B = nwt * A
or nwt = (Hwt*B)/A
Mwt = (Weight - nwt)/2 (approximately)
Check using the moment calculations.
Ignore the cruise speed.
Grayhawk
PS Hint: empty, each main should statically be supporting about 430-450
lbs, depending.