design data sheet (10 2015)
TRANSCRIPT
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University of TripoliFaculty of Engineering
Aeronautical Engineering
Department
Mr. Adel Ali Kurban
9/30/2015
AERONAUTICAL ENGINEERS
DATASHEETS
AE 465 Aircraft Design
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1 Weight Estimation
1.1 Initial Weight Analysis
tfocrewPLFETO WWWWWW ++++= (1.1)
tfocrewEOE WWWW ++= (1.2)
TOtfotfo WMW = (1.3)
Mtfo- Relationship Wtfoand WTO(usually around 0.005)
FresFusedF WWW += (1.4)
FusedresFres WMW = (1.5)
Mres - The ratio of reserve fuel and fuel required for the mission
PLFOETO WWWW ++= (1.6)
B
AW
W
=)(log
E
TO
10 (1.7)
See Table 1.7 for A and B values.
=
=
+=ni
i i
i
TO
ffW
W
W
WM
1
11 (1.8)
TOffFused WMW = )1(
(1.9)
TOffresF WMMW += )1)(1( (1.10)
Piston-Propeller AircraftEndurance
=
+1
ln3751
i
i
ltrltrP
P
ltr
ltrW
W
D
L
cVE
(1.11)
ltrltrP
P
ltrltr
D
L
c
VE
i
i
eW
W
+=
375
1
(1.12)
Range
=
+1
ln375i
i
crcrP
Pcr
W
W
D
L
cR
(1.13)
crcrP
P
cr
D
L
c
R
i
i eW
W
+
=375
1
(1.14)
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Jet AircraftEndurance
=
+1
1
i
i
ltrltrj
ltrW
Wln
D
L
cE
(1.15)
(
ltr
ltrltrj
D
L
Ec
i
i eW
W
+
=1
(1.16)
Range
=
+1i
i
crcrj
crW
Wln
D
L
c
VR
(1.17)
crcrj
cr
D
L
c
V
R
i
i eW
W
+
=1
(1.18)
Table 1.1 Recommendation Values for WPLand WCrew
Pay load Weight Short /medium Long distance
Passenger Crew member Passenger Crew member
Weight per passenger 190 -200 Ibs 190-200 Ibs 190-200 Ibs 190-200 IbsWeight per Baggage 30 Ibs 30 Ibs 40 Ibs 40 Ibs
Military 200 Ibs 200 Ibs
Table 1.2Recommendation Values for WTO/WPL
Airplane Type WTO/WPL
Homebuilt 2-8
Single Engine 3-6
Twin Engine 2-5
Agricultural 2-3
Business Jets 3-5
Regional Turboprops 3-4
Transport Jets 3-5
Military Trainers
Fighters 10-18Military Patrol, Bombers, and Transports 3-6
Flying Boats, Amphibious and Float Airplanes 2-4
Supersonic Cruise -
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Table 1.6Value for L/D, Cj,pand for Cp for Cruise
Aircraft Type:
Cruise
L/D Cj Cp p
lbs/lbs/hr lbs/lbs/hr
1 Homebuilt 8-10 0.6-0.8 0.72 Single Engine 8-10 0.5 -0.7 0.8
3 Twin Engine 8-11 0.5 -0.7 0.82
4 Agricultural 5-7 0.5 -0.7 0.82
5 Business Jets 10-12 0.5-0.9
6 Regional TBPs 11-13 0.4 - 0.6 0.85
7 Transport Jets 13-15 0.5 -0.9
8 Military Trainers 8-10 0.5-1.0 0.4-0.6 0.82
9 Fighters 4-7 0.4-1.4 0.5-0.7 0.820
10 Mil.Patrol Bomb. Transport 13-15 0.5-0.9 0.4-0.7 0.820
11 Flying Boats, Amphibious Float
Airplanes
10-12 0.5-0.9 0.5-0.7 0.820
12 Super Sonic Cruise 4-6 0.7-1.5
Table 1.7 Regression coefficient off A and B
Airplane Type A B
Homebuilt: Personal Fun and
transportation
0.3411 0.9519
Scaled fighters 0.5542 0.8654
Composites 0.8222 0.8050
Single Engine Propeller Driven -0.1440 1.1162
Twin Engine Propeller Driven 0.0966 1.0298
Twin Engine Composites 0.1130 1.0403
Agricultural -0.4398 1.1946
Business Jets 0.2678 0.9979
Regional Turboprops 0.3774 0.9647
Transport Jets 0.0833 1.0383
Military Trainers: Jets 0.6632 0.8640
Turboprops -1.4041 1.4660
Turboprops without item No.2 0.1677 0.9978
Piston/Propellers 0.5627 0.8761
Fighters: Jets ( + external load ) 0.5091 0.9505
Jets (clean) 0.1362 1.0116
Turboprops (+ external load) 0.2705 0.9830
Military Patrol,
Bomber &
Transport:
Jets -0.2009 1.1037
Turboprops -0.4179 1.1446
Flying boats, Amphibious, Float Airplanes 0.1703 1.0083Supersonic Cruise 0.4221 0.9876
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1.2 Weight Analysis methods1.3 Statistical Weight Estimation MethodsStatistical Aircraft Component Methods
Table 1.8 Approximate Empty Weight Build-up
Group Transports
&
Bombers
Fighters General
aviation
Group [Ib] CG location ofgroup
Wwing 10.0 9.0 2.5 SEXPO_Wing[ft2] 40% MAC
WH-tail 5.5 4.0 2.0 SEXPO_H_tail[ft2] 40% MAC
WV-tail 5.5 5.3 2.0 SEXPO_V_tail[ft2] 40% MAC
WFuselage 5.0 4.8 1.4 SEXPO_H_tail[ft2] 40-50%
Fuselage length
WLand_gear 0.043 .033
0.045 Navy
.057 WTO[Ib]
WNose 0.15 0.15 0.15 WLand_gaer[Ib]At point of
attachment
WMain 0.85 0.85 0.85 WLand_gear[Ib] At point ofattachment
Winstalled_engine 1.3 1.3 1.4 WEngine[Ib] 50% of enginelength
Wmise 0.17 .17 .10 WTO[Ib] 40-50%Fuselage length
Table 1.9 Reduction of weight due to use of new materials or new Technology
Structural Component WEnew/ WEold
Composites Al-Li
Primary
Structure Fuselage 0.75-0.85 0.90
Wing, Vertical Tail, Canard or Horizontal Tail 0.75 0.90
Landing Gear 0.88 0.90
Secondary
Structure Flaps, Slats, Access Panels, Fairings 0.70 0.90
Interior Furnishing 0.50 N.A
Air Induction System 0.70 0.90
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Table 1.10 Mass of Some miscellaneous components
No. Component Type, description, details Mass (Ib)
1 Seat Flight deck civil 53-62
2 Fighter pilot (ejection seat) 209-243
3 Passenger economy 29-35
4 Passenger tourist 44-62
5 Troop 9-13
6 Missile and bomb ACM, AGM-129 2756
7 AGM-130 2917
8 HARM, AGM-88 560
9 Harpoon, AGM-84A 1169
10 Hell fire, AGM-114A 101
11 Maverick, AGM-65A 463
12 Penguin 2, AGM-119B 849
13 Sea Eagle 1323
14 Sidewinder, AIM-9J 192
15 Sparrow, AIM-7F 501
16 Stinger, FIM-92 35
17 TOW, BGM-71A/B 42
18 Standard, AGM-78 1356
19 SLAM, AGM-84E 1389
20 Stick, yoke, wheel Side-stick 0.22
21 Stick 1
22 Yoke, wheel 2
23 Parachute Civil 9
24 Military 18
25 Instruments
Compass, tachometer, altimeter, airspeed indicator,
clock, rate of climb, bank angle indicator,accelerometer, GPS, etc.
1-2
26 Gyroscope (x,y,z) 1-4
27 Display 2-9
28 Lavatories Short-range aircraft 0.13N1.3
29 Long-range aircraft 0.5N 1.3 0.5 N1.4
30 Business jet 1.7N 1.3 1.7 N1.5
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2 Constraint Analysis
Rearranged Equations
The referenced equations are rearranged into a format of:
=
S
W
P
W
W
T
TOTOTO
for
2.1
Stall SpeedFAR 23 Single engine airplane Vs< 61 kt at WTO
Multi engine airplane with WTO61kt ( unless meet climb
gradient criteria Par 23.67
FAR 25 No requirements for min Vs
CLVS
WTOmaxS
2
2
1=
TO
(2.1)
2.2
Take-off Distance, FAR 23Propeller driven
=
S
WCLTOP
P
W
TO
TOmax
TO
123
(2.2)
Jet driven:
=
S
W
W
T
TOTOmaxTOFL
TO
CLS.02960
1 (2.3)
Other necessary equations are: speed)off-liftcalledaslo(liftoff@
211
.
CLCL TOmaxTO = (2.4)
2
2323 009094 TOP.TOP.STOG += (2.5)
2
2323 014901348 TOP.TOP.STO += (2.6)
And units onhp
are
ft
lbTOP
f
2
2
23
2.3 Take-off distance, FAR 25
Jet driven:
SCL
S
W
W
T
TOFLTOmax
TO
TO
.
=
537
(2.7)
Propeller driven:
=
S
W
SCL
P
W
TO
TOFLTOmax
TO .93112
(2.8)
Using
PT
=
2000
5750 & 922000
5750 .P
T =
= (2.9)
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2.4 Landing Distance
FAR 23
2265.0SLLG VS = (2.10)
LGL s.s = 9381 (2.11)
SCLkS
WLh@
LTO
max
.
LISA.L
=
7772 (2.12)
When WkW TOLL = Note that units for 0.265 in SLGequation are ft/kt
2
FAR 25
22 507030 SLAFL V.V.S == (2.13)
23042060 SLFLL V.S.S == (2.14)
SCLkS
WFL
LTO
max
.
L
=
81342 (2.15)
Note that units for 0.3 in SFLequation are also ft/kt2
2.5 Climb
FAR 23Rate-of-Climb (RC) [MAXIMUMnotBest],
+
S
W
TO
kRCRCP
kRCp
P
W
TO
(2.16)
( )
=
lb
hp
,
minft/RCRCP
00033 (2.17)
define
=
CD
C/
L
max
kRC
23
19
(2.18)
eACD3CLomaxRC
= (2.19)
CDRC max= 4CDo (2.20)
In addition, for max RC, i.e.
( )
CDo
/
eA/
.
CD
C/
L
max
41
43
3451
23
. =
(2.21)
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Climb Gradient (CGR
+
S
Wk
CC
CGR
C.
P
W
D
L
Lp
3
1
1
9718
(2.22)
WHERE W = k WTOso at take-off k = 1 and at landing select kL
Units for 18.97
hpftlb
2
2
for minimum CGR use CL=CLmax-0.2 or CL@ (CL/CD)max
FAR 25If propeller driven or turbo-prop, use FAR 23 CGR in equation 2.18 with appropriate
power, flap and gear settings. If the aircraft is multi-engine, then the power loading
for One Engine Inoperative (OEI) must be increased by multiplying as shown below.
( )
=
N
N
P
W
P
W
OEI
1
(2.23)
Jet aircraft, One Engine Inoperative (OEI)
+
=
CGR
D
L)N(
N
W
T 1
1 (2.24)
WHERE N = the number of engines
Jet aircraft, All Engines Operating (AEO)
CGR
D
LW
T+
=
1
(2.25)
AND T/W and L/D are for the flight conditions being analyzed! If landing then
substitute W = kL WTO for landing condition to calculate CL (and then CD from
appropriate drag polar) use
CV
VC L
S
TOmax
TO
specblimc
L 2
2
= (2.26)
Since
VCL 2
1
2.6 Time-to-climbFAR 25
+=
D
LV
RC
W
T o
TO
1
60
(2.27)
RCo inmin
ft , V insec
ft
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2.7 Cruise Speed,FAR 23,
Propeller Driven Aircraft
3
S
PIP
= (2.28)
IP
S
W
P
W3
=
(2.29)
Conversion from cruise to sea level take-off conditions
None turbocharged
TOPcr
TO S
W
k
ts
P
W
I
=
3
(2.30)
Wcr= kcr WTO and ts = throttle setting For turbocharger =1
= 77.3 (2.31)
= 0.8 0 .85For retractable gear, cantilever wing
VIP
=
34
2 (2.32)
For fixed gear, cantilever wing
VIP
=
31
2 (2.33)
For biplane, strutted monoplane, with fixed wing
VIP
=
3000
22 (2.34)
NOTEs (1) in Eqn (2.27-2.30) the velocity is mph!
In Eqn (2.27) the constant should be 77.35 and with units P (hp), W (lbs)
and S (ft2) the velocity, V, will be in (ft/sec).
FAR 25
+=
eAq
Dq
ts
S
Wk
S
W
C
W
TTO
cr
TO
TO
o
2
1
(2.35)
Again since Wcr= kcr WTO and assuming Tcr= ts TTO
cr
TO
TO
cr
crTO T
T
W
W
W
T
W
T
=
(2.36)
Units alert: q must have units of lb/ft2! (i.e. in slugs/ft3)For turbo-props use the (without turbo) Eqn (2.26) above.
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Table 2.1 Typical Values for Maximum Lift Coefficients for Clean, Takeoff and
Landing
Airplane Type CLmax CLmaxTO CLmaxL
Homebuilt 1.2 - 1.8 1.2 - 1.8 1.2 - 2.0
Single Engine 1.3 - 1.9 1.3 - 1.9 1.6 - 2.3Twin Engine 1.2 - 1.8 1.4 - 2.0 1.6 - 2.5
Agricultural 1.3 - 1.9 1.3 - 1.9 1.3 - 1.9
Business Jets 1.4 - 1.8 1.6 - 2.2 1.6 - 2.6
Regional Turboprops 1.5 - 1.9 1.7 - 2.1 1.9 - 3.3
Transport Jets 1.2 - 1.8 1.6 - 2.2 1.8 - 2.8
Military Trainers 1.2 - 1.8 1.4 - 2.0 1.6 - 2.2
Fighters 1.2 - 1.8 1.4 - 2.0 1.6 - 2.6
Military Patrol, Bombers, and Transports 1.2 - 1.8 1.6 - 2.2 1.8 - 3.0
Flying Boats, Amphibious and FloatAirplanes 1.2 - 1.8 1.6 - 2.2 1.8 - 3.4
Supersonic Cruise 1.2 - 1.8 1.6 - 2.0 1.8 - 2.2
Table 2.2 Typical Values for Landing Weight to Take-Off Weight Ratio
Airplane Type WL/WTO
minimum Average Maximum
Homebuilt 0.96 1.0 1.0
Single Engine 0.95 0.997 1.0
Twin Engine 0.88 0.99 1.0Agricultural 0.7 0.94 1.0
Business Jets 0.69 0.88 0.96
Regional Turboprops 0.92 0.98 1.0
Transport Jets 0.65 0.84 1.0
Military Trainers 0.87 0.99 1.1
Fighters (Jets) 0.78 1.0
Fighters (TP's) 0.57 1.0
Military Patrol, Bombers, and Transports (Jets) 0.68 0.76 0.83
Military Patrol, Bombers, and Transports (TP's) 0.77 0.84 1.0
Flying Boats, Amphibious and Float Airplanes (Jets) 0.68 0.76 0.83Flying Boats, Amphibious and Float Airplanes (TP's) 0.77 0.84 1.0
Supersonic Cruise 0.63 0.75 0.88
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Requirements FAR 23 Types Normal Utility Aerobatics Commuter
Weight WTO< 12,500 Ibs WTO< 19,000 Ibs
No of pilots 1 pilot 2 pilots
Max No of passenger 10 11-21
Max altitude 25000ft
Requirement Configuration AEO
OEI
Altitude (ft) Climb
speedFlaps gear
Take-off
25.111 Take-off Retracted OEI (35-400) IGE 1.25VTO
25.121 Take-off Extended OEI ground effect VLFV2
25.121 Take-off Retracted OEI Out of ground effect V21.2VTO
25.121 Retracted Retracted OEI Take-off V2=1.25VS
La
nding 25.119 Landing Extended AEO 1.3VS
25121 Approach Extended OEI >1.1 VsL>1.5 VsA
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ategory Requirement Weight
(Ibs)VSO(kt)
Configuration AEO
OEI
Altitude
(ft)C
Flaps gear
Normal
,
Utility,
Aerobatic[N-U-A]
Recip
Takeoff
23.65(a) 6 000 Take-off Retracted AEO S.L.
Recip &
Turbine
23.65(b) >6 000 Take-off Extendedretracted
6 000 Take-off Retracted OEI 400 V
23.67(b)(2) >6 000 Retracted Retracted OEI 1500
Commuter[C]
23.67(c)(1) Take-off Extended OEI Take-off V
23.67(c)(2) Take-off Retracted OEI 400 V
23.67(c)(3) Retracted Retracted OEI 1500
Landin
23.67(c)(4) Landing Retracted OEI 400
23.77(c) Landing Extended AEO [N-U-A] 23.77(a) 6 000 Landing
retracted6000 Landing Extended AEO
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3 Drag Polar
3.1 The Rapid Drag Estimation Method (First Class)Drag Polar assumed to be parabolic, i.e., equation of the form
eACLCD
cleanoCDOEIFCD ++=
2
Where:OEI
F = Factor accounting for one engine Inoperative OEI
Propulsion FOEI
All-Engines-Operating 1.00
Fixed Pitch Propeller 1.25
Variable Pitch Propeller 1.10
Low Bypass Ratio Turbofan 1.15
High Bypass Ratio Turbofan 1.25
TOwet WdcS 1010 loglog += (3.1)
cd
TOwet WS 10= (3.2)
wetSbaf 1010 loglog += (3.3)
ab
wetSf 10= (3.4)
S
fC cleanD =0
(3.5)
CDCDCD clean += 00 (3.6)
Table 3.1 First Estimation for CDo and e with flaps and gear down
Configuration CD0 e
Clean 0 0.80 - 0.85
Take-off Flaps 0.010 - 0.020 0.75 - 0.80
Landing Flaps 0.055 - 0.075 0.70 - 0.75
Landing Gear 0.015 - 0.025 No Effect
Propeller Wind milling 0.015-0.018 No Effect
Table 3.2 Frist Estimation of Cf
Aircraft Type Cf
Bomber and civil Transport 0.003
Military cargo ( high wing) 0.0035
Fighter 0.0035
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Aircraft Type Cf
Navy Fighter 0.0040
Clean supersonic cruise 0.0025
Light aircraft single engine 0.0055
Light aircraft twin engine 0.0045
Prop seaplane 0.0065
Jet seaplane 0.0040
Table 3.3 Correlation coefficients for Parasite area versus wetted area
Cf A b
0.016 -1.7993 1.0
0.015 -1.8062 1.0
0.014 -1.8633 1.00.012 -1.9243 1.0
0.010 -1.9961 1.0
0.009 -2.0458 1.0
0.008 -2.0969 1.0
0.007 -2.1549 1.0
0.006 -2.2218 1.0
0.005 -2.3010 1.0
0.004 -2.3979 1.0
0.003 -2.5229 1.0
0.002 -2.6990 1.0
Table 3.4 Regression Line Coefficients for take-off Weight Versus Wetted Area
Airplane Type c d
Homebuilt 1.2362 0.4319
Single Engine 1.0892 0.5147
Twin Engine 0.8635 0.5632
Agricultural 1.0447 0.5326
Business Jets 0.2263 0.6977
Regional Turboprops -0.0866 0.8099
Transport Jets 0.0199 0.7531
Military Trainers 0.8565 0.5423
Fighters -0.1289 0.7506
Military Patrol, Bombers, and Transports 0.1628 0.7316
Flying Boats, Amphibious and Float Airplanes 0.6295 0.6708
Supersonic Cruise -1.1868 0.9609
* For these airplanes, wetted areas were correlated with "clean" maximum take-offweight. No stores were accounted for.
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Drag due to Mach number
3.2 Component Drag Build up (second Class)Reynolds number
=
lURe (3.7)
Standard formulation to estimate Friction Coefficient
Complete laminar flow
e
fR
.C
lam
3281= (3.8)
Complete turbulent flow
( ) 58210
4550.
e
fRLog
.C
trb= (3.9)
Accounts for compressibility
( ) ( )
6502582
10 14401
4550..
e
f
M.RLog
.C
comptrb
+
=
(3.10)
Mixed laminar turbulent flow37506250
0 19636
.
e
.
tr
RC
X.
C
X
= (3.11)
80
0
201
0740.
tr
.
e
fC
XX
R
.C
mix
= (3.12)
Wing
0
0.001
0.002
0.003
0.004
0.005
0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1
Zero
LiftDragRise
Mach Number M
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( ) ( ) Expowingwetww
Lswf
wo SCf
C
t
C
tL
S
RRCD
+
+=
4
1001 (3.13)
Horizontal Tail
( ) ( ) ExpotailHwetH
w
Ls
Ho SCf
C
t
C
tL
S
RCD
+
+=
4
1001 (3.14)
Vertical Tail
( ) ( ) ExpotailVwetV
w
Ls
Vo SCf
C
t
C
tL
S
RCD
+
+=
4
1001 (3.15)
L = 1.2 for maximum t/c located at x 0.3c
L = 2.0 for maximum t/c located at x < 0.3c
Fuselage
( ) bBfB CDCDCD +=o (3.16)
( )( )
( )S
S.CfRCD
fuswet
d
l
d
lfuswfBf f
f
f
f
+
+= 00250
601
3 (3.17)
Figure 3.1 Wing Fuselage Interference Correlation factor
0.8
0.85
0.9
0.95
1
1.05
1.1
1.0E+07 1.0E+08 1.0E+09 1.0E+10
Rwf
Fuselage Reynolds NumberRl Fus
M
0.25
0.4
0.6
0.7
0.8
0.85
0.9
0.25
0.4
M= 0.6 -0.9
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Figure 3.2 Lifting surface correlation factor for wing subsonic
0.80
0.85
0.90
0.95
1.00
1.05
1.10
1.15
1.20
1.25
1.30
1.35
0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00
RLS
cos (tc)max
M=0.9
M=0.8
M0.25
M=0.6
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( )
=
Bf
f
b
bCD
d
d.
CD
3
0290
(3.18)
( )Bff
flap AC
CCD
= (3.19)
Table 3.5Correlation Coefficients for flap Drag
Flap type A B
Split flap 0.0014 1.5
Plain flap 0.0016 1.5
Single slotted flap 0.00018 2
Double slotted flap 0.0011 1
Fowler 0.00015 1.5
Drag Due to Wind milling Propellers
S
DN.CD
propblades
prop
2001250= (3.20)
Drag Due to Turbojet Engine
S
S
U
VBPR
U
V
U
V
M.S
d.CD noz
bypass
noz
core
noz
core
nozinl
wm
+
++= 11
1601
207850
2
2
(3.22)
Table 3.6 Velocity Ratio
=
U
Vnoz
0.25 for turbojets (no bypass)
0.42 for low by-pass ratio jet engines (BPR < 2.0)
0.12 for the primary airflow of high by-pass jet engines (BPR > 2.0)
0.92 for the fan airflow of high by-pass jet engines (BPR > 2.0)
U
SHP
SqCDwm
33= (3.21)
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Landing Gear Drag
Table 3.7 Drag of Tire Only
Tire Type Tire A Tire B Tire C Tire D
CDS 0.18 0.25 0.23 0.31-0.35
Referance Aera dw dw dw dw
Corresponds to Three Part
Type (GA)
Type III Type III high
floatation
tundra
Old fashioned
disc wheel type
S
w
tire CDS
wdCD
= (3.23)
( )Bff
flap AC
CCD
= (3.24)
Table 3.8 Drag of Tires with wheel Fairings
Fairing Type A1 A2 A3 B C
Tire Type TypeIII (B) TypeIII (B) TypeIII (B) TypeIII (B) TypeIII (B)
CDS (H W) 0.13 0.090 0.044 0.117 0.129
CDS (d w) 0.143 0.119 0.070 0.217 0.188
Sw
fairing CDS
WH
CD
= (3.25)
Table 3.9 Drag of fixed Landing Gear Struts with Tires
Type C B A
CDS See Table 1.112 1.204
Ref. Aera dw dw dw
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Type D E FCDS See Table 1.125 See Table
Ref. Aera dw dw dw
Type I H G
CDS See Table 0.994 See TableRef. Aera dw dw dw
Type L K J
CDS 0.992 See Table See Table
Ref. Aera dw dw dw
Type O N M
CDS See Table 0.315 See Table
Ref. Aera dw dw dw
Type Q P
CDS 1.85 2.1 0.45-0.6
Ref. Aera dw dw
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Table 3.10 Drag of Landing Gear Struts with and without Fairings
Strut Type Tire Type CDS
A 8.5-10 B 1.112
B 8.5-10 B 1.204
C1 8.5-10 + streamline wire B 1.151C2 8.5-10 + tubular support B 1.178
C3 27 inch streamline + tube A 1.082
C4 25x11-4 X-low press + tube C 0.940
C5 30x5 disk wheel hi-press + tube D1 1.779
C6 32x6 disk wheel hi-press + tube D2 1.373
D1 8.5-10 B 1.230
D2 8.5-10 B 1.191
E 8.5-10 B 1.125
F1 8.5-10 B 1.138
F2 8.5-10 + Fairing C B 0.877F3 27 inch streamline tube A 1.014
F4 25x11-4 X-low press + tube C 0.858
F5 30x5 disk wheel hi-press + tube D1 1.628
G1 8.5-10 B 1.151
G2 8.5-10+Fairing A2 B 0.733
H 8.5-10 B 0.994
I1 8.5-10 + Fairing B B 0.536
I2 8.5-10 + Fairing C B 0.484
I4 27 inch streamline + tube A 0.564
I5 27 inch streamline+ tube A 0.496J1 8.5-10 B 0.615
J2 8.5-10 + Fairing A1 B 0.458
J3 27 inch streamline A 0.485
K1 8.5-10 B 0.981
K2 8.5-10 + Fairing C B 0.641
L 8.5-10 B 0.992
M1 8.5-10 + Fairing A1 B 0.484
M2 8.5-10 + Fairing A1 + Expanding fillet B 0.315
N 8.5-10 B 0.315
Drag due to external fuel tanks
Figure 3.3 Drag due to external fuel tanks
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Drag of Streamlined Struts and Landing Gear Pant Fairings
Figure 3.4 Geometric definition of small wing like surface and standard cross sections
Drag of Canopies
Figure 3.5 Canopy styles denoted by A through I
Figure 3.6 Drag of blunt and undercut cockpit windows
w
EBDSEB
S
SCDCD
= (3.26)
w
sfS
SS
ct
ctCCD
+
+=
2
12 (3.27)
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Figure 3.10Two-dimensional drag coefficients of several cross-sections. Valid only
for 104< Re< 105.
Drag Due to Wing Washout
Ground Effectper IGE
Lift induced drag
Maximum lift to drag ratio
The span (Oswald) efficiency factor is found from
Method 1: Empirical Estimation
For straight wing
( ) 4604501781 680 .A..e . = (3.35)Swept Wing
( ) ( ) 1304501614 150680 .cosA..e .LE
. = (3.36)
Where LE> 30 oCorrection of aspect ratio due to winglets
+= b
h.
AAcorr
91
1 (3.37)
Method 2: USAF DATCOM
( )+
=
RAR
CLR
AR
CL.
e
1
11
(3.38)
=
LER
LER
U
R
l
(3.39)
( )wwashouti i.CD = 000040 (3.31)
( )
( )bh..
bh.
47051
32111
+
= (3.32)
( ) ( )OGEiIGEi
CDCD = (3.33)
( ) ( )
= OGE
IGE
DLDL (3.34)
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LEcos
ARP
=1 (3.40)
LELELER cosMcotRP =22
2 1 (3.41)
If P21.3x105determine R from calculate from the following expression:
( ) ( )( )
++=
200950213018527284 1
2
210210
Psin.Plog.Plog..R (3.42)
If P2>1.3x105determine R from calculate from the following expression:
118
1
1
1011190860
PP..R
+
+= (3.43)
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4 Miscellaneous
4.1 Conversion FactorsLength Mass
1ft 12 in 1 slug 14. 59kg
1 ft 0.3045 m 1kg (mass) 2.205 Ib (weight)
1 in 2.54 cm Pressure
1 m 3.28084 ft 1 Pa 0.00015 psi
1 mi (statute mile) 5280 ft 1 atm 101325 Pa
1 mi (statute mile) 1.609 km 1 atm 14.7 psi
1 mi (statute mile) 0.868976 nm Angle
1 nm (nautical mile) 6078 ft 1 rad 180/degSpeed Fuel specific weight
1 knot 1.689 ft/s Gasoline 44.9 Ib/ft3(0.72)
1 knot 1.151 mph JP1 49.7 Ib/ft3(0.80)
1 knot 1.852 km/hr JP3 48.2 Ib/ft3(0.775)
1mph 1.457 ft/s JP4 49.0 Ib/ft3(0.785)1mph 1.609 km/hr Kerosene 51.2 Ib/ft3(0.82)
1mph 0.8684 knot Temperature
Power R =1.8 K
1 BHP 33000 ft
Ib/min
R =F + 459.69
1 BHP 550 ft Ib /sec F =1.8 C + 32
1 BHP 745.7 W K =C + 273.16
4.2 Atmosphere propertiesThe standard atmosphere is mathematically defined in two layers from sea level to 20
kmh = altitude above sea level in feet or meters.
T0= Absolute temperature at sea level = 288.15 K = 518.67 R (or 15 C = 59 F)
0= Density of air at sea level= 1.225 kg/m3= 0.07648 lb/ft3= 0.0023769 slug/ft3P0= air pressure at sea level=1Atm=101325 N/m
2=2116.2 lb/ft2=14.696 lb/in2=29.921
in of Hg
a= Speed of Sound =340.3 m/s = 1116.4 ft/s
# Altitudes
up to
English Units
Temperature (R)
Density (slug/ft3)
Pressure (lb/ft2)
Metric Units
(K)
(kg/m3)
(N/m2)h is measured in: Feet meters
1 11 km T = T0(1 h / 145442 ft)
= 0(1 h / 145442 ft)4.255876P = P0(1 h / 145442 ft)
5.255876
T = T0(1 h / 44329 m)
= 0(1 h / 44329 m)4.255876P = P0(1 h / 44329 m)
5.255876
2 20 km T = T0(0.751865)
= 0(0.297076)e((36089-h)/20806)P = P0(0.223361)e
((36089-h)/20806)
T = T0(0.751865)
= 0(0.297076)e((10999-h)/6341.4) P = P0(0.223361)e
((10999-h)/6341.4)
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Table 4.1 Atmosphere properties
Altitude
[ft]
Temperature
[Kelvin]
Pressure
[pascal]
Density
[slug/ft3]
Speed of sound
[ft/s]
Viscosity
[lb.sec/ft2]
0 288.150 101325 0.00237717 1116.45 3.78456x107
1000 286.169 97716.6 0.00230839 1112.61 3.76386 x107
2000 284.188 94212.9 0.00224114 1108.75 3.74310 x107
3000 282.206 90811.7 0.00217539 1104.88 3.72228 107
4000 280.225 87510.5 0.00211114 1100.99 3.70138107
5000 278.244 84307.3 0.00204834 1097.09 3.68041107
6000 276.263 81199.6 0.00198698 1093.18 3.65938107
7000 274.282 78185.4 0.00192704 1089.25 3.63828107
8000 272.300 75262.4 0.00186850 1085.31 3.61710107
9000 270.319 72428.5 0.00181132 1081.36 3.59586107
10000 268.338 69681.7 0.00175549 1077.39 3.57454107
11000 266.357 67019.8 0.00170099 1073.40 3.55316107
12000 264.376 64440.9 0.00164779 1069.40 3.53170107
13000 262.394 61942.9 0.00159588 1065.39 3.51016107
14000 260.413 59523.9 0.00154522 1061.36 3.48856107
15000 258.432 57182.0 0.00149581 1057.31 3.46688107
16000 256.451 54915.2 0.00144761 1053.25 3.44513107
17000 254.470 52721.8 0.00140061 1049.18 3.42330107
18000 252.488 50599.8 0.00135479 1045.08 3.40139107
19000 250.507 48547.6 0.00131012 1040.97 3.37941107
20000 248.526 46563.3 0.00126659 1036.85 3.35735107
21000 246.545 44645.1 0.00122417 1032.71 3.33522107
22000 244.564 42791.5 0.00118285 1028.55 3.31300107
23000 242.582 41000.7 0.00114260 1024.38 3.29071107
24000 240.601 39271.0 0.00110341 1020.19 3.26834107
25000 238.620 37600.9 0.00106526 1015.98 3.24588107
26000 236.639 35988.8 0.00102812 1011.75 3.22335107
27000 234.658 34433.1 0.000991984 1007.51 3.20074107
28000 232.676 32932.4 0.000956827 1003.24 3.17804107
29000 230.695 31485.0 0.000922631 998.963 3.15526107
30000 228.714 30089.6 0.000889378 994.664 3.13240107
31000 226.733 28744.7 0.000857050 990.347 3.10945107
32000 224.752 27448.9 0.000825628 986.010 3.08642107
33000 222.770 26200.8 0.000795096 981.655 3.06330107
34000 220.789 24999.0 0.000765434 977.280 3.04010107
35000 218.808 23842.3 0.000736627 972.885 3.01681107
36000 216.827 22729.3 0.000708657 968.471 2.99344107
37000 216.650 21662.7 0.000675954 968.076 2.99135107
38000 216.650 20646.2 0.000644234 968.076 2.99135107
39000 216.650 19677.3 0.000614002 968.076 2.99135107
40000 216.650 18753.9 0.000585189 968.076 2.99135107
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4.3 The Geometric Properties of Aircraft
Geometry of Lifting Surface
Formulation for the Simple Trapezoidal Planform
Approximation of an Airfoil Cross-Sectional Area
( )
6
3 tCkAairfoil
+= (4.1)
Where: C = Airfoil chord, in ft or m
k = Location of the airfoils maximum thickness as a fraction of C.
t = Airfoil thickness, in ft or m.Approximation of an Airfoil Perimeter
( ) ( )22222
1444
kCtCkt
Sairfoil +++= (4.2)
Wing area
( )tr CCb
S +=2
(4.3)
Aspect ratio
C
b
S
bAR ==
2
(4.4)
Taper ratio
r
t
C
C= (4.5)
Mean Aerodnam!c "#ord (MA")
$#e MA" !s com%&ted 'rom
dyCS
MAC
b
=2
0
22 (4.6)
( )( )+
++=
1
1
3
22
rCMAC (4.7)
Y coordinates for straight tapered wing
( )+
+==
13
21
2
by (4.8)
Sweep Angle
( )
+
=
1
14mn
ARtantan mn (4.9)
Where nor mis sweep angle of the nthor mth constant fraction chord line.
+
+=
1
114
ARtantan /cLE (4.10)
+
+=
1
122
ARtantan /cLE (4.11)
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( )( )2
22
1
1540
+
++= rFw c/t
b
S.V (4.12)
( )( )( )
+++=
112512 C
t
oexpwet.SS (4.13)
rfwexp CwSS = (4.14)
( )
( )t
r
ct
ct= (4.15)
Volume of pyramid
( )21213
SSSSl
Volume +++= (4.16)
Cg Location
Volume of obelisk
+++=
23
122121
babaSS
lVolume (4.18)
Wing wet area
Engine wet area
a1
b1
S2 a2
b2
ll
S2
S1
S1
( )
2121
2121 23
4
1
SSSS
SSSSl
cg++
++= (4.17)
( )( )
( )
+
++=
14
125012 C
t
oexpwet
.SS (4.19)
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Wetted area of fan cowling
Wetted area of gas generator
Wetted area for plugs
Bodies of revolution for >4.5Volume
Wetted area for cylindrical mid-section:
Wetted area for streamlined fuselage without cylindrical mid-section
Dp
Deg
Dg
Def
Dh
Dn
ln
ln
lg
lp
Fan Cowling
Max. Diameter
Gas-generatorCowling
Plug
( )
++++=
n
ef
n
hnn
D
D
.D
D..Dl 1151803502 (4.20)
=
3
5
113
11
g
g
g
eg
ggl
D
D
DDl (4.21)
ppDl. = 70 (4.22)
( )
=
ff
ffDl
lD2
14
2 (4.23)
( ) ( )
+
= 2
32
2 1
1
2
1ffff
ffDlDllD (4.24)
( )( )( )
++=
51
322 3001511351050.
ff
ffffDl
..Dl..lD (4.25)
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Wetted area of fuselage
Component Approximate Wetted Area
= 2.4 2.5
FUSF SD
=4
D/L=0.15to 0.25
= 2
= 2.4 !!
= 2.3 "" "# $!!
= 2.7 !!
= 2.85 "" "# $!!
+=
2
topside
wetF
AAS (4.26)
{ }
44 844 76876
4444444 84444444 76 ConeCylinder
Paraboloid
.
DL
DDL
DDDL
L
D
+
++
+
=
424844
12
22
32
2351
22
12
1
(4.27)
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Passenger SeatingThe following tables show seating standards and baggage volume allowances
representing a typical airline 1-class high-density configuration. Typical 2-class
short-range seating rules are also included.
1-Class
High
Density
2-Class Short-RangeFirst
Class
(FC)
Economy
Class
(YC)
Seat Ratio Nominal % 100 8 Remainder
- Allowable % - 6-10 Remainder
Seat Pitch inch 28/29 36 32
Seat Depth inch 20 22 20
Minimum legroom for first row behind a wall inch 18 22 18
Minimum recline for last row in front of a wall inch 5 8 5
Seat Width Single inch 20 28.5 22- Double inch 40 57 42
- Triple inch 59 n/a 62
Maximum number of excuse-me seats to get
to an aisle- 2 1 2
Minimum Aisle Width inch 19 23 23
Passenger BaggageThe following tables show seating standards and baggage volume allowances
representing a typical airline 1-class high-density configuration. Typical 2-class
short-range seating rules are also included.
1-Class
High
Density
2-Class Short-Range
First
Class
(FC)
Economy
Class
(YC)
Carry-on baggage volume ft/pax5.5 (Note 1)
2 1.5
Checked-in baggage volume ft/pax 5 4
Notes:1) The 1-class high-density rules do not differentiate passenger baggage as carry-on or
checked-in. Instead, the specified total baggage volume must be provided as any
combination of carry-on and checked-in baggage.
CateringThe following table shows the rules used to determine the number of food trays
required.
1-Class
High
Density
2-Class Short-Range
First Class
(FC)
Economy
Class
(YC)
Trays per Passenger - 1.0 3.0 1.5
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The following table shows the rules used to determine the number of trolleys required
along with key trolley/galley parameters.
Whole
trolley
Half
trolley
Galley
unit
Trays per Trolley - 28 14Trolley length inch 31.7 15.8
Trolley width inch 12.7 12.7
Overall galley depth, including rear structure inch 34 17.4
Galley end structure inch 1.35
Galley intermediate structure (3) inch 1.1
Minimum aisle width between galley units inch 26
Minimum space required in front of galley for
manoeuvring trolleys
inch 36 20
Notes:1) First class and economy class meals must be stored in separate trolleys.2) It is a requirement that no economy trolleys need to be moved through the first class
section during the flight. It is preferable that no first class trolleys need to be moved
through the economy section during the flight.
3) Galley units more than four trolleys wide require sub-dividing with a hard partition insuch a way that there are no more than three trolleys per compartment.
4) The following drawings show examples of full-, half- and mixed-trolley galleyarrangements.
34.0
15.4 28.1 40.8 53.5 67.3
17.4
15.4 28.1 40.8 53.5 67.3
53.5
34.0
28.1 29.5
14.1
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LavatoriesThe following table shows the rules used to determine the number lavatories required.
1-Class
High
Density
2-Class Short-Range
First Class
(FC)
Economy
Class
(YC)
Passengers per Lavatory - 75 20 75
The following table shows some key lavatory parameters.
Lavatory
Cubicle
Minimum cubicle footprint inch 1650
Minimum cubicle dimension in length
or width
inch 29
Minimum aisle width between lavatory
cubicles
inch 26
Notes:
1) First- and economy passengers must be provided with separate lavatories.
2) First class lavatories must be directly accessible from the first class section.
Economy class lavatories must be directly accessible from the economy class section.
3) It is preferable that no passenger has a direct view into a lavatory when in their
seat.
The following drawings show examples of outer wall lavatories cubicles. Different
shape cubicles of equivalent area are permissible.
The following drawings show examples of centre cabin lavatories cubicles. Different
shape cubicles of equivalent area are permissible.
Inner WallOuter Wall
Floor Line
45.7
36.6
29
57
38
44
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The following drawings show examples of centre cabin lavatory blocks.
AttendantsThe number of attendants is determined by the number required for passengers
services or by the manning of emergency exits (see Exits section), whichever is the
greater. The following table shows the required passenger servicing requirements:
1-Class
High
Density
2-Class Short-Range
First Class
(FC)
Economy
Class
(YC)
Passengers per Attendant - 50 16 50
The following drawings show standard attendant seat sizes, usually positioned near
exits.
The following drawings show minimum attendant to passenger spacing.
44 26
58
57
76
44
17.3
5
18.2
35
25.8
Wall Mounted:
17.3
8.4
22
35
25.8
Floor Mounted:
1
43.8
60
21.95
22
54.8
42.8
60
20.9
5
22
56.2
Floor Mounted Opposite Economy Seats:
8.4
Wall Mounted Opposite Economy Seats:
5
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(attendant-passenger spacing, continued)
Cross-SectionThe following rules apply as minimum standards when determining the aircraft cross-
section:
1-Class
High
Density
2-Class Short-Range
First Class
(FC)
Economy
Class
(YC)
Minimum distance to sidewall for window seat
passenger
- at head (A) mm 60 100 60
- at shoulder (B) mm 30 60 30
- at armrest (C) mm 20 20 20
- at foot (D) mm 40 40 40
Minimum standing height mm
- in aisle mm 2100 2100 2100
- under side bins mm 1700 1700 1700
- under centre bins mm 1700 1700 1700
The following table lists the approximate anthropometric dimensionsfor the reference person seated naturally on a 400mm high seat.
2020 95%
US Male
Floor to top of head (E) mm 1380
Upper head radius (F) mm 80
Floor to shoulder (G) mm 1030
Width across shoulders (H) mm 530
Floor to elbow (armrest) (I) mm 590
Width across feet (J) mm 350
5
41.8
60
19.28 22
55.2
Wall Mounted Opposite Business Class Seats:
8.4
42.8
60
18.2
8
22
56.6
Floor Mounted Opposite Business Class Seats:
J
H
I
G
E
F
A
B
C
D
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ExitsCS-25 (25.803 & Appendix. J) States that the aircraft must be capable of being
evacuated in 90 seconds using only half the side exits on the aircraft.
The following table lists key parameters for standard floor-level exit sizes.
Type
A
Type
B
Type
C
Type
I
Type
II
Passenger exit rating - 110 75 55 45 40
Number of attendants - 2 2 1 1 1
Clear opening height inch 72 72 48 48 44
Clear opening width inch 42 32 30 24 20
The following table lists key parameters for standard over wing exit sizes.
Type
II
Type
III
2x
Type
III
Type
IV
Passenger exit rating - 40 35 65 9
Number of attendants - 1 0 0 0
Clear opening height inch 44 36 - 36
Clear opening width inch 20 20 - 19
Maximum step-up from cabin
floor
inch 10 20 20 29
Maximum step-down onto wing inch 17 27 27 36
The following drawings show acceptable minimum assist space, passageway and
cross-aisle for Type A and B exits:
The following drawings show acceptable minimum assist space, passageway and
cross-aisle for Type C, I and II exits:
20
6036
Type A/B - Assist Space & Passageway
FloorLine
Overlapminimum 50%cross-aislewidth
20
Type A/B Cross-Aisle (End of Cabin)
Cross-aisle mustbe within 36passageway(100%overlap) 20
Type A/B Cross-Aisle (Mid-Cabin)
20
3220
Type C/I/II - Assist Space & Passageway
FloorLine
Type C/I/II Cross-Aisle
Minimum 1(5%cross-aisle width)
20
Passagewaymust be withindooropening(100% overlap)
Assist space can be forwardor aft of the passageway
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(Adjacent Type III over wing exit options, continued)
Under floor Cargo
The following table lists commonly used under floor cargo containers.
Common name LD1 LD2 LD3 LD3-45W LD3-46
ULD convention name AKC APA AKE AKH AKG
Examples of current
aircraft applicability
- B747 B767 A330/340
A380
B777
A320 A320 (alsofits A330
etc.)
Container Type - Half width Half width Half width Full width Half width
Volume m 5.2 3.4 4.53 3.5 3.10
Tare Weight kg 70 60 70 82 No dataMax. Gross Weight kg 1588 1225 1588 1588 1588
The following drawings show simplified dimensions of these containers:
Double Type III Over wing (Option 3) - Passageway
Hatch widths= Door widths+ 2 per side(= 24)
20
Single Type III Over wing (Option 3) Cross-Aisle
Permissiblerange forcross-aisle
= No Recline
6
6
6
61.5
LD1 Container
60.4
64
92
47
LD2 Container
60.4
64
61.5
61.5
LD3 Container
60.4
64
79
45
61.5
LD3-46 Container
60.4
45
79
61.5
LD3-45W Container
60.4
96.2