FlightGlobal.com
Home
Premium
Archive
Video
Images
Forum
Atlas
Blogs
Jobs
Shop
RSS
Email Newsletters
You are in:
Home
Aviation History
1911
1911 - 0056.PDF
MATHEMATICS OF THE CAMBERED PLANE. THE second of the Aeronautical Society's course of educational lectures was delivered at the Northampton Institute in November, by Mr. A. E. Berriman, whose subject was "The Mathematics of the Aeroplane." The basis of the theories and formula; put forward was contained in the text of the opening sentence, which enunciated that "an aeroplane is sustained in flight by the inertia of the air." The subsequent treatment of the subject was entirely confined to the evolution of plausible expres sions to represent the mass and acceptation of the air affected by the flight of a cambered plane. It is assumed that the effective depth of the air stratum can be expressed as a function of the chord SWEEP =CMORD ntfLtfrJ u=Vtan oc^ V tan oc IV tan/? Dotted tiivc shows V(tail <x+ ocf) of the plane, and that the effective angle of deflection can be expressed as a function of the angle of the plane, measured at the intersection of the mean tangents drawn to the entering and trailing edges of the plane. It is important to point out that any dis crepancies between theory and practice in this respect can be com pensated for by the introduction of a numerical constant in the resultant formulae. The subject divides itself into two sections, one relating to the lift and the other to the thrust, and the complete series of formula; discussed are appended herewith in the order that they were taken, which is somewhat different from that of the original list distributed to those who attended the meeting. 2 4 6 & 10 12 1+ 16 IS 20 •22 •2 •18 «/ -16 §•« r-12 •08 •06 „ ^7 I I I I I I I T" H RU STper Unit Loa ?ta.u/? X • /W^ o " w 2 4' 6 8 10 12 R 16 18 20 22 Tf Tx+Ty Tx+fr Tx+% 7 Jx ^—X^—X Ty Tx Ty Tx Ty Tfanwn) o&tatns wfjen Tx =Ty if Tx =* V2 and Ty <~ /y2. 58
Sign up to
Flight Digital Magazine
Flight Print Magazine
Airline Business Magazine
E-newsletters
RSS
Events
