ECE 3331 COMPUTER PROBLEM 2 Spring 2007
(due 5pm 2/20/07)
An airplane wing is acted upon by a wide variety of loads and each must be carefully analyzed to
determine the safety and performance of the wing. The net shear force at the base of the wing is the total
upward force of the wing on the on the body of the fuselage of the plane. This force in turn is a sum of all
upward forces on the wing itself.
These depend in a rather complicated manner on the physical properties of
the wing and other parameters concerned with flight such as airspeed.
The net shear force at the base of the wing is the sum of the upward pressure on the point (x,y) times
the infinitesimal area dxdy, summed over the entire area of the wing:
∫∫
=
L
0
f
e
b
e
dydx
)
y
,
x
(
P
S
where L is the length of the of the wing, e
f
is the leading (front) edge of the wing, and e
b
is the trailing (back)
edge of the wing.
If the wing width is w and we define x
0
as Lw, then the equations for the front and back edges of the
wing are:
≤
<

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 Fall '08
 Staff
 Wing, wing on, net shear force

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