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SAWE Report - Cal Poly San Luis Obispo

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10 Stability and Control<br />

To initially size the horizontal tail, tail volume coefficients from historical aircraft were<br />

analyzed. This was done in an attempt to determine the rough size of the horizontal and vertical<br />

tail surfaces prior to addressing stability and control issues. The tail volume coefficients are<br />

unitless parameters defined by geometric values relating the size of the empennage surface to the<br />

aircraft. The horizontal and vertical tail volume coefficients are defined in the following<br />

equations.<br />

V<br />

H<br />

=<br />

SHTL<br />

c S<br />

W<br />

HT<br />

W<br />

V<br />

V<br />

=<br />

SVT<br />

L<br />

b S<br />

W<br />

VT<br />

W<br />

Because the demands for most supersonic cruising aircraft are considered similar to a certain<br />

extent, the historical values of tail volume coefficients are used to back out the planform areas<br />

for the horizontal and vertical surfaces. Similar aircraft and their tail volume coefficients are<br />

presented in Table 10.I.<br />

AIRCRAFT<br />

Table 10.I - Historical Aircraft Tail Volume Coefficients<br />

TAIL VOLUME COEFFICIENTS<br />

V H<br />

V V<br />

Boeing SST (2707-300) 0.36 0.049<br />

Concorde n/a 0.080<br />

GD F-111A 1.28 0.064<br />

Rockwell B1B 0.80 0.039<br />

TU-22M 1.11 0.087<br />

TU-144 n/a 0.081<br />

AVERAGE 0.58 0.067<br />

Using the average tail volume coefficient for these similar aircraft yielded a horizontal stabilizer<br />

area of 386 ft 2 . This is rather large and may be attributed to the fact that these vehicles require<br />

large robustness in CG travel without the use of a flight control augmentation system (CAS).<br />

Likewise, the vertical tail would require 196 ft 2 of area. This number is driven slightly larger due<br />

to the fact that some of the larger historical tail volumes are inflated because these aircraft’s<br />

verticals are mounted on booms which extend aft. These booms allow for greater moment arms<br />

and make the vertical more effective.<br />

The effects of horizontal tail area on longitudinal static stability were looked at in an attempt to<br />

determine what the driving factors for horizontal tail area are. A Roskam class II method was<br />

60

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