Appendix A2: Halfspan Center of Lift for the Bell-Shaped Distribution
The formula for total lift 
is (Truckenbrodt):
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(Tru. 5.42) |
For a symetrical lift distribution only the halfspan may be used:
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(Equ. 00-01) |
with 
; 
If the spanwise control points are aranged along a "central-angle"
similar to the Multhopp-procedure, the following terms can be written:
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(Mul. 07) |
and 
This gives the following solution for one side (halfspan):
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(Equ. 00-02) |
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(Equ. 00-03) |
with 
The rolling-moment
of the halfwing is:|
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(Equ. A2-01) |
This gives now
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(Equ. A2-02) |
Accordingly to Bronstein (Bro. 356) this gives:
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(Equ. A2-03) |
The halfspan center of lift is then:
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(Equ. A2-04) |
