Derivation Cip Sb2 c(y)y? dy root mean chord Case 2: Tapered Wing tip Ct Cr Ct Taper ratio || C, Ct + C, Mean chord C = 2 %3D s=b/2 semi-span We need to find the relation between c and y. Assumption: no fuselage b/2 - y с — С c = -(c, - c)+ c, C b/2 Cr - Ct y3 20 S 1+1(1-1) 20 cy? : 1+1 20 [s3 s3 c(y)y² dy = 1 + 13

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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how was this substituitions made please?
Derivation
-2a
Cip
c(y)y² dy
Sb2
root
mean chord
Case 2: Tapered Wing
tip
Ct
Cr
C
Taper ratio
Ct
C,
Ct + Cr
Mean chord C=
2
%3D
s=b/2
We need to find the relation between c and y.
semi-span
Assumption: no fuselage
b/2 - y
C- Ct
c = -(c, - c,)+
Cr
b/2
Cr - Ct
20
cy? =
1+ 1
y3 20
(1 - 2)
s 1+ 1
[s3
s3
27
c(y)y² dy =
1+ 13
4
Transcribed Image Text:Derivation -2a Cip c(y)y² dy Sb2 root mean chord Case 2: Tapered Wing tip Ct Cr C Taper ratio Ct C, Ct + Cr Mean chord C= 2 %3D s=b/2 We need to find the relation between c and y. semi-span Assumption: no fuselage b/2 - y C- Ct c = -(c, - c,)+ Cr b/2 Cr - Ct 20 cy? = 1+ 1 y3 20 (1 - 2) s 1+ 1 [s3 s3 27 c(y)y² dy = 1+ 13 4
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