Environmental Engineering Reference
In-Depth Information
The. interlaminar. shear. stresses. for. the. skin. turbine. blade. can. be. found.
using.Equation.(2.42).and.Equation.(2.47).
2
β
+
α
.
Y
m
=
.
(2.43)
3
Obviously. the. height. of. the. contour. would. be. one-third. the. length. from.
the.entrance.edge.(see.Figure 2.21).
4
1/2
.
e =
∗
3
1 /
α β
(
- )[k/ ((
λ α β
- )]
(2.44)
.
k
3
Therefore,.the.stress.function.F.includes.the.equation.of.aviation.symmet-
rical.proiles.as.expressed.in.Equation.(2.29).
After.simpliication,.the.stress.function.F.from.Equation.(2.29).can.be.given.
as:
F(x,y) =
Q
8I
1
3
2
2
.
λ
λ
[ x - k(y -
α
(y - )[y +
β
a
(b - 1 + 4q)]
.
(2.45)
We.have.determined.the.derivations.of.the.stress.function.F:
dF
dy
= -
Q
1
3a
(
y +
(
b -
1
+
4
q
)
4I
dF
dy
=
Q
1
3a
(b - 1 + 4q)] - k(y -
1
3a
(b - 1 + 4q)] - k
{- 2k(y -
α
)(y - )[y +
β
α
) (y +
2
.
..
81
λ
.
(y
-
α
) (y - ) + x )
2
β
λ
2
.
.
(2.46)
.
=
Q
81
1
3a
(b -
1
3a
(b - 1 + 4q)]
′
2
τ
{ - 2k(y -
α
)(y - )[y +
β
1 + 4q)] - k(y -
α
) (y +
- k
xz
λ
2
2
(y -
α
) (y - ) + x )
β
λ
.
.
.
= -
Q
4I
1
3a
τ
′
( +
y
(
b -
1
+
4
q
)
xz
.
.
(2.47)
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