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Aviation History
1945
1945 - 0913.PDF
MAY IOTH, 1945 FLIGHT 50; CARGO AIRCRAFT SWOSS WEIGHT MILES RANGE MILES RANCE a~ A.. x ••'., \ fr^ ••.., x • %X:-\'\. X X \X X X X j Xv X *-X. \X XX •N<-. ^ X "V-.. X.S..N X\ "-.; •••.^ h \\ x:- ;. X X\ \\x\ \ V \ ^ \ X \ O\ X \ \ \ X ••. "> '••. •'. '"•• \\ v •% \ "*• \ \\ x\\ * \\\ \_ ••> '•'•<• \\ \ «. \ \\ V\ \\ \ ^^ \ N \ \ £4. iS.. L *-. c GROSS UEIGHT [Jot •"•""••—— uiw [ISO ^^^^ 3A MILES ^_ ~~*-~ -., "-VJJ PS, _ . . " • VfeJEV^ ~ ~~——-—. "••— ———— —— — *--•*- pi ~xL ^b ***^£^ < jooo\ £000 WOGHT MILES' RANCE * ->»^ *^\^"~ -•*•- TOOO JUOO *aoo" TXKEOFr HORSCPOWEB KOO Fig. 8. Variation of efficiency factors with different engine sizes at four wing loadings. 20. Sf 40 JO 40 Fig. 7. Variation of efficiency factors with different wingloadings at three engine sizes. for a 500 miles' range, the aircraft Ai will carry 13,485/ 1,835 = 7.35 lb. of cargo per 1 pound of fuel increment, while aircraft A4 will carry only 4,557/1,455=3.132 lb. of cargo per r pound of- fuel increment. For 1,000 miles', range, the aircraft Ai will carry less than one-half of the above value of cargo per 1 pound of fuel increment, that is, 11,650/3,570 = 3.17 lb., while aircraft A4 will carry only 3,102/2,910=1.065 lb. of cargo per 1 pound of fuel incre- ment weight. For a range of 2,000 miles, this ratio will decrease to 7,980/7,340=1.087 value for aircraft Ai, while tor aircraft A4 this ratio will be 192/5,820 = 0.033. GROSS WEIGHT Assuming the cost of petrol to be 15 cents per gallon,the above values correspond to the following approximate .costs of fuel per ton mile: — For 500 miles' range aircraft Ai, approximate cost of fuel per ton mile will be 2,000 x15 =1.36 cents. Aircraft A4 3.19 cents. 735x 5°° x 6 . • For 1,000 miles' range: Aircraft Ai 1.57 cents. Aircraft A4 4.69 cents. For 2,000 miles' range: Aircraft Ai 2.3 cents. Aircraft A4 75.7 cents. Since fuel cost represents approximately 25 per cent, of total flying and operating^ cost for 500 miles' range, the formula is then assumed as follows: — Range _„. . ? . Cargo load x Flying time+Handlingtime Efficiency factor-- b J b •Weight emptyCargo load Landing speed Cargo load """ 30 x Fuel increments weight the last member of the equation representing the efficiency factor. OVERLOAD CONDITION —._... 2400 ro. HP A4OO TQH.fl 4»OO TOHP TOOO TO. HP JSOOO IOOOO ISOOO 20000 £SO0O JOOOO 4SOOO sooo isooo isooo 35000 +S000 ssooo IOOOQ JOOOO JOOOO toooo SOOOO tOOOO CARGO LOAD-LB Fig. 9. Cargo load-range diagram (30 m.p.h. headwind) at normal gross and at overload weights.
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