Environmental Engineering Reference
In-Depth Information
4
3 3
1/2
.
e =
(
α β
- ) [k/ (
λ α β
- )]
.
(2.40)
k
1/2
Therefore,.the.stress.function.F.includes.the.equation.of.aviation.symmet-
rical.proiles.as.expressed.in.Equation.(2.29).
The.minimum.set.was.determined.from.Equation.(2.38):
.
S'(y).=.(y.-.α)(3y.-.2β.-.α).=.0.
(2.38)
The.abscissa.of.maximum.is.a.root.of.Equation.(2.38).
Minimizing.the.optimal.number.of.inner.webs.for.two.sections.is.possible.
when.we.analyze.the.shear.stresses..In.Figure 2.21,.we.indicate.the.carbon.
iber.type.on.an.unsupported.leading.edge.
After.simpliication,.the.stress.function.F.from.Equation.(2.29).can.be.given.as:
F(x,y) = Q
8I
1
3a (b - 1 + 4q)] .
.
λ λ
[ x2 - k(y -
α
)2(y - )] [y +
β
(2.41)
We.have.determined.the.derivations.of.the.stress.function.F:
F
y = Qx
1
3a (b
1
3a (b - 1 +
{- 2k(y -
α
)(y - )[y +
β
- 1 + 4q)] - k(y -
α
)2 (y +
4q)]
81
λ
.
. .
.
.
(2.42)
- k (y -
) (y - ) + x )
2
2
α
β
λ
Shear web pultrusion spar
Carbon fiber
in unsupported
leading edge
Fiberglass skin
Shear web pultrusion spar
1/3L
2/3L
Minimize the optimal number of shear webs
FIGURE 2.21
Minimize.the.optimal.number.of.shear.webs..
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