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weight and performance calculations for the Lockheed Vega 5B
Lockheed Vega 5B
role : medium weight passenger aircraft
importance : ****
first flight : operational : October 1929
country : United States of America
design :
production : 35 aircraft
general information :
Famous long range / executive airplane
users :
crew : 1 passengers : 6
engine : 1 Pratt & Whitney R-1340C Wasp air-cooled 9 -cylinder radial engine 450 [hp](335.6 KW)
compressor height 500
dimensions :
wingspan : 12.5 [m], length : 8.38 [m], height : 2.59[m]
wing area : 25.55 [m^2]
weights :
max.take-off weight : 2041 [kg]
empty weight operational : 1163 [kg] useful load : 500 [kg]
performance :
maximum speed :298 [km/hr] at sea-level
cruise speed :268 [km/u] op 100 [m]
service ceiling : 6096 [m]
range : 1620 [km]
description :
parasol wing with fixed landing gear and tail strut
two spar tapered wing
engines, landing gear, fuel and useful load in or attached to the fuselage
Wiley Post his “Winnie Mae” s/n 122 Vega 5C
airscrew :
fixed pitch 2 -bladed metal Curtiss Reed tractor airscrew with max. efficiency :0.71 [ ]
estimated diameter airscrew 2.70 [m]
angle of attack prop : 20.39 [ ]
reduction : 1.00 [ ]
airscrew revs : 2100 [r.p.m.]
pitch at Max speed 2.37 [m]
blade-tip speed at Vmax and max revs. : 308 [m/s]
calculation : *1* (dimensions)
measured wing chord : 2.13 [m]
mean wing chord : 2.04 [m]
calculated average wing chord tapered wing with rounded tips: 2.06 [m]
wing aspect ratio : 6.12 []
seize (span*length*height) : 271 [m^3]
calculation : *2* (fuel consumption)
oil consumption : 5.4 [kg/hr]
fuel consumption(cruise speed) : 65.2 [kg/hr] (89.0 [litre/hr]) at 63 [%] power
distance flown for 1 kg fuel : 4.11 [km/kg] at 3048 [m] height, sfc : 310.1 [kg/kwh]
estimated total fuel capacity : 610 [litre] (447 [kg])
calculation : *3* (weight)
weight engine(s) dry : 340.0 [kg] = 1.01 [kg/KW]
weight 51.7 litre oil tank : 4.40 [kg]
oil tank filled with 2.5 litre oil : 2.3 [kg]
oil in engine 1.9 litre oil : 1.7 [kg]
fuel in engine 2.3 litre fuel : 1.68 [kg]
weight 37.8 litre gravity patrol tank(s) : 5.7 [kg]
weight inertia starter : 8.2 [kg]
weight airscrew(s) (wood) incl. boss & bolts : 27.9 [kg]
total weight propulsion system : 387 [kg](19.0 [%])
***************************************************************
fuselage skeleton semi-monocoque (wood gauge : 4.96 [cm]): 147 [kg]
cabin layout : pitch : 87 [cm] (1+1) seating in 3.0 rows
weight 1 fire extinguisher : 3 [kg]
weight 6.0 windows : 5.40 [kg]
passenger cabin width : 1.03 [m] cabin length : 2.61 [m] cabin height : 1.80 [m]
weight cabin furbishing : 9.44 [kg]
weight cabin floor : 17.22 [kg]
bracing : 8.7 [kg]
fuselage covering ( 13.3 [m2] plywood 2.4 [mm]) : 18.9 [kg]
weight instruments. : 2.5 [kg]
weight lighting : 1.5 [kg]
weight controls : 4.9 [kg]
weight seats : 35.0 [kg]
weight 572 [litre] main fuel tank empty : 45.8 [kg]
weight air conditioning : 9 [kg]
weight engine mounts & firewalls : 17 [kg]
total weight fuselage : 325 [kg](15.9 [%])
***************************************************************
Vega 5B flown by Amelia Earhart
weight 2.4 mm plywood wing covering : 39 [kg]
total weight ribs (82 ribs) : 121 [kg]
load on front upper spar (clmax) per running metre : 1054.0 [N]
load on rear upper spar (vmax) per running metre : 459.2 [N]
total weight 4 spars : 94 [kg]
weight wings : 255 [kg]
weight wing/square meter : 9.98 [kg]
weight cables (50 [m]) : 39.3 [kg] (= 786 [gram] per metre)
diameter cable : 11.3 [mm]
weight fin & rudder (1.8 [m2]) : 18.4 [kg]
weight stabilizer & elevator (2.9 [m2]): 28.9 [kg]
total weight wing surfaces & bracing : 341 [kg] (16.7 [%])
*******************************************************************
wheel pressure : 1020.5 [kg]
weight 2 wheels (740 [mm] by 148 [mm]) : 41.5 [kg]
weight tailskid : 4.0 [kg]
weight undercarriage with axle 48.1 [kg]
total weight landing gear : 93.6 [kg] (4.6 [%]
*******************************************************************
********************************************************************
calculated empty weight : 1148 [kg](56.2 [%])
weight oil for 7.2 hours flying : 38.9 [kg]
calculated operational weight empty : 1187 [kg] (58.1 [%])
published operational weight empty : 1163 [kg] (57.0 [%])
***o***
"
weight crew : 81 [kg]
weight fuel for 2.0 hours flying : 130 [kg]
********************************************************************.
Amelia Earhart
operational weight empty: 1398 [kg](68.5 [%])
weight 6 passengers : 462 [kg]
weight luggage & freight : 38 [kg]
operational weight loaded: 1898 [kg](93.0 [%])
fuel reserve : 143.0 [kg] enough for 2.19 [hours] flying
operational weight fully loaded : 2041 [kg] with fuel tank filled for 61 [%]
published maximum take-off weight : 2041 [kg] (100.0 [%])
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calculation : * 4 * (engine power)
power loading (Take-off) : 6.08 [kg/kW]
power loading (operational without useful load) : 4.17 [kg/kW]
total power : 335.6 [kW] at 2100 [r.p.m]
calculation : *5* (loads)
manoeuvre load : 5.1 [g] at 1000 [m]
limit load : 3.0 [g] ultimate load : 4.5 [g] load factor : 1.7 [g]
design flight time : 4.23 [hours]
design cycles : 2810 sorties, design hours : 11881 [hours]
operational wing loading : 537 [N/m^2]
wing stress (3 g) during operation : 161 [N/kg] at 3g emergency manoeuvre
calculation : *6* (angles of attack)
angle of attack zero lift : -1.26 ["]
max. angle of attack (stalling angle) : 12.99 ["]
angle of attack at max. speed : 0.37 ["]
calculation : *7* (lift & drag ratios
lift coefficient at angle of attack 0° :0.10 [ ]
lift coefficient at max. angle of attack : 1.13 [ ]
lift coefficient at max. speed : 0.13 [ ]
induced drag coefficient at max. speed : 0.0012 [ ]
drag coefficient at max. speed : 0.0271 [ ]
drag coefficient (zero lift) : 0.0259 [ ]
calculation : *8* (speeds
stalling speed at sea-level (OW loaded : 1976 [kg]): 119 [km/u]
landing speed at sea-level: 140 [km/hr]
min. drag speed (max endurance) : 189 [km/hr] at 3048 [m](power :36 [%])
min. power speed (max range) : 189 [km/hr] at 3048 [m] (power:36 [%])
max. rate of climb speed : 171.4 [km/hr] at sea-level
cruising speed : 268 [km/hr] op 3048 [m] (power:66 [%])
design speed prop : 283 [km/hr]
maximum speed : 298 [km/hr] op 100 [m] (power:104 [%])
climbing speed at sea-level : 614 [m/min]
calculation : *9* (regarding various performances)
take-off speed : 145.2 [km/u]
static prop wash : 148 [km/u]
take-off distance at sea-level : 255 [m]
lift/drag ratio : 11.79 [ ]
climb to 1000m with max payload : 2.91 [min]
climb to 2000m with max payload : 6.62 [min]
climb to 3000m with max payload : 11.24 [min]
practical ceiling (operational weight 1398 [kg] ) : 7513 [m]
practical ceiling fully loaded (mtow- 30 min.fuel:2008 [kg] ) : 5718 [m]
max. dive speed : 625.1 [km/hr] at 4718 [m] height
turning speed at CLmax : 174.7 [km/u] at 50 [m] height
turn radius at 50m: 84 [m]
time needed for 360* turn 10.9 [seconds] at 50m
load factor at max. angle turn 3.03 ["g"]
calculation *10* (action radius & endurance)
published range : 1620 [km] with 1 crew and 379.5 [kg] useful load and 88.1 [%] fuel
dit bereik is niet mogelijk met alle pax > nakijken, evt bereik verlagen
range : 1124 [km] with 1 crew and 500.0 [kg] useful load and 61.2 [%] fuel
range : 1034 [km] with 6.0 passengers with each 10 [kg] luggage and 56.2 [%] fuel
Available Seat Kilometers (ASK) : 6204 [paskm]
max range theoretically with additional fuel tanks total 1055.1 [litre] fuel : 3181 [km]
useful load with range 500km : 652 [kg]
useful load with range 500km : 6 passengers
production (useful load): 174.82 [tonkm/hour]
production (passengers): 1609.20 [paskm/hour]
oil and fuel consumption per tonkm : 0.40 [kg]
oil and fuel consumption per paskm : 0.04 [kg]
fuel cost per paskm : 0.04 [eur]
crew cost per paskm : 0.09 [eur]
time between engine failure : 165 [hr]
writing off per paskm : 0.04 [eur]
insurance per paskm : 0.0319 [eur]
rigging cost per paskm : 0.0022 [eur]
maintenance cost per paskm : 0.1240 [eur]
direct operating cost per paskm : 0.34 [eur]
Literature :
Piston-engined airliners
Praktisch handboek vliegtuigen deel 2
Wikipedia
DISCLAIMER Above calculations are based on published data, they must be
regarded as indication not as facts.
Calculated performance and weight may not correspond with actual weights
and performances and are assumptions for which no responsibility can be taken.
Calculations are as accurate as possible, they can be fine-tuned when more data
is available, you are welcome to give suggestions and additional information
so we can improve our program. For copyright on drawings/photographs/
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(c) B van der Zalm 10 May 2021 contact : info.aircraftinvestigation@gmail.com python 3.7.4