>>Using this formula:
Aspect Ratio (AR) = span/chord
We can calculate the AR for wings of 165 cm and 200 cm widths given a chord of 40 cm for both:
165 cm wing AR
= 4.125
200 cm wing AR = 5
>>Next, using this formula:
Effective Aspect Ratio (AR_effective) = Actual Aspect Ratio (AR_actual) * (1 + 1.9 * (endplate depth/span))
We can calculate the AR_effective for wings of 165 cm and 200 cm widths given a chord of 40 cm for both, and endplate depths of 15 cm and 60 cm:
165 cm wide
wing:
15 cm deep endplate, AR_effective
= 4.837
60 cm deep endplate, AR_effective
= 6.97
200 cm wide
wing:
15 cm deep endplate, AR_effective
= 5.7125
60 cm deep endplate, AR_effective
= 7.85
>>And finally, going back the original Aspect Ratio formula and using Algebra to work backwards we can then determine the Effective Span, that is, the endplate's impact on aerodynamic span:
The Effective
span of a 165 cm wide wing
given the endplate depth as such:
15 cm deep endplate =
193.5 cm
60 cm deep endplate =
278 cm
The Effective
Span of a 200 cm wide wing
given the endplate depth as such:
15 cm deep endplates =
228 cm
60 cm deep endplates =
314 cm
Formulas out of Joseph
Katz's New Directions in Race Car Aerodynamics
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