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weight and performance calculations for the Douglas DC-3

dc-3

Douglas DC-3

importance : *****

first flight : 17 December 1935 operational : 25 June 1936

country : United States of America

design : design team led by Arthur E. Raymond  

production : 607 civil aircraft (including military production 1936-1947 : 10.654 aircraft by Douglas, 485 built under license in Japan and 2000 in Russia as Li-2)

general information :

Designed as Sleeper Transport, a scaled up DC-2 with roomy fuselage for 21

passengers. It was a big success. It was the standard passenger airliner for many

airlines before WWII serving 90% of the market. It could cross the USA eastbound

from Los Angeles to New York in 15 hours, with only 3 stops. Westbound against the

wind it took 17.5 hrs. (4000 km, a stop takes ca. 30 min, without wind actual time in

the air ca. 15 hr > gives average speed of 266 km/hr)

In WWII thousands were built for the military as troop transport and cargo plane,

known as Dakota. The DC-3 and Dakota was used for long time after WWII.

In 2017 about 300 DC-3’s were still being used in a variety of roles !

Fuel Capacity : 3736 litre

users : American Airlines, United Airlines, KLM, and many more

crew : 3 passengers : 21

engine : 2 Wright GR-1820-G102A Cyclone air-cooled 9 -cylinder radial engine 900 [hp](671.1 KW)

supercharged engine, constant power to height : 2134 [m]

dimensions :

wingspan : 28.96 [m], length : 19.7 [m], height : 5.16 [m]

wing area : 91.7 [m^2]

weights :

max.take-off weight : 11415 [kg]

empty weight operational : 7650 [kg] useful load : 2100 [kg]

performance :

maximum speed :313 [km/u] op 2000 [m]

cruise speed :297 [km/u] op 2000 [m]

service ceiling : 6840 [m]

range : 2091 [km]

description :

low-winged monoplane with retractable landing gear with tail wheel

tapered wing with split flap airfoil : root : NACA 2215 tip : NACA 2206

engines and landing gear attached to the wings, fuel tanks in the wings

construction : all-metal stressed-skin (duraluminium) airplane

airscrew :

two Hamilton Standard constant-speed 3 -bladed tractor airscrews with max. efficiency

:0.74 [ ]

estimated diameter airscrew 3.19 [m]

tattoo ideas | Douglas aircraft, Douglas dc3, Paper airplane models

power loading prop : 140.26 [KW/m]

angle of attack prop at max. speed : 25.75 [ ]

reduction : 0.62 [ ]

airscrew revs : 1438 [r.p.m.]

pitch at Max speed 3.62 [m]

blade-tip speed at Vmax and max revs. : 255 [m/s]

calculation : *1* (dimensions)

measured wing chord : 3.10 [m] at 50% wingspan

mean wing chord : 3.17 [m]

calculated average wing chord tapered wing with rounded tips: 3.06 [m]

wing aspect ratio : 9.15 []

seize (span*length*height) : 2944 [m^3]

calculation : *2* (fuel consumption)

oil consumption : 18.8 [kg/hr]

fuel consumption(cruise speed) : 304.6 [kg/hr] (415.6 [litre/hr]) at 75 [%] power

distance flown for 1 kg fuel : 0.97 [km/kg] at 3420 [m] height, sfc : 302.6 [kg/kwh]

total fuel capacity : 3736 [litre] (2739 [kg])

calculation : *3* (weight)

weight engine(s) dry : 1060.0 [kg] = 0.79 [kg/KW]

weight reduction gear : 56.4 [kg]

weight 210.4 litre oil tank : 17.88 [kg]

oil tank filled with 10.1 litre oil : 9.0 [kg]

oil in engine 7.5 litre oil : 6.7 [kg]

fuel in engine 9.2 litre fuel : 6.71 [kg]

weight 176.7 litre gravity patrol tank(s) : 26.5 [kg]

weight starter (E.H.I. - Electric Hand Inertia): 16.4 [kg]

Douglas DC-3 Trans World Airlines Roden 309

weight NACA cowling 30.1 [kg]

weight variable pitch control : 13.4 [kg]

weight airscrew(s) incl. boss & bolts : 174.7 [kg]

total weight propulsion system : 1443 [kg](12.6 [%])

***************************************************************

fuselage aluminium frame : 1366 [kg]

cabin layout : pitch : 87 [cm] (2+1) seating in 7.0 rows

weight toilet : 8 [kg]

weight 2 fire extinguisher : 6 [kg]

weight pantry : 20.7 [kg]

weight 14 windows : 12.6 [kg]

passenger cabin width : 2.30 [m] cabin length : 6.69 [m] cabin height : 1.90 [m]

weight cabin furbishing : 82.2 [kg]

weight cabin floor : 98.5 [kg]

fuselage covering ( 104.0 [m2] duraluminium 3.94 [mm]) : 1083.0 [kg]

fuselage (sound proof) isolation : 30.5 [kg]

weight radio transceiver equipment : 7.0 [kg]

weight Sperry gyro auto-pilot - course control equipment : 1.5 [kg]

weight instruments. : 6.0 [kg]

weight lighting : 5.2 [kg]

weight electricity generator : 11.0 [kg]

weight controls : 10.0 [kg]

weight seats : 120.0 [kg]

weight air conditioning : 32 [kg]

total weight fuselage : 2856 [kg](25.0 [%])

***************************************************************

total weight aluminium ribs (184 ribs) : 407 [kg]

weight engine mounts : 67 [kg]

weight two 1572 [litre] main fuel tanks empty : 251.5 [kg]

weight wing covering (painted aluminium 1.46 [mm]) : 721 [kg]

total weight aluminium spars (multi-cellular wing structure) : 709 [kg]

weight wings : 1837 [kg]

Douglas DC-3

weight wing/square meter : 20.04 [kg]

cantilever wing without bracing cables

weight rubber de-icing boots : 31.9 [kg]

weight fin & rudder (9.7 [m2]) : 196.5 [kg]

weight stabilizer & elevator (10.3 [m2]): 207.4 [kg]

weight split flap(4.6 [m2]) : 48.9 [kg]

total weight wing surfaces & bracing : 2641 [kg] (23.1 [%])

*******************************************************************

Can only operate from paved runways

wheel pressure : 5707.5 [kg]

weight 2 wheels (1170 [mm] by 234 [mm]) : 272.3 [kg]

weight tailwheel(s) : 5.9 [kg]

weight wheel hydraulic operated retraction system : 44.4 [kg]

weight undercarriage with axle 342.9 [kg]

total weight landing gear : 665.5 [kg] (5.8 [%]

*******************************************************************

dc-3

********************************************************************

calculated empty weight : 7605 [kg](66.6 [%])

weight oil for 8.4 hours flying : 158.8 [kg]

calculated operational weight empty : 7764 [kg] (68.0 [%])

published operational weight empty : 7650 [kg] (67.0 [%])

___o___

" "

weight crew : 243 [kg]

weight fuel for 2.0 hours flying : 609 [kg]

weight catering : 51.7 [kg]

weight water : 20.7 [kg]

********************************************************************

operational weight empty: 8689 [kg](76.1 [%])

weight 21 passengers : 1617 [kg]

weight luggage & freight : 483 [kg]

operational weight loaded: 10789 [kg](94.5 [%])

fuel reserve : 626.1 [kg] enough for 2.06 [hours] flying

operational weight fully loaded : 11415 [kg] with fuel tank filled for 51 [%]

published maximum take-off weight : 11415 [kg] (100.0 [%])

DC3 | The Lexicans

calculation : * 4 * (engine power)

power loading (Take-off) : 8.50 [kg/kW]

power loading (operational without useful load) : 6.47 [kg/kW]

power loading (Take-off) 1 PUF: 17.01 [kg/kW]

total power : 1342.3 [kW] at 2300 [r.p.m]

calculation : *5* (loads)

manoeuvre load : 4.3 [g] at 1000 [m]

limit load : 3.0 [g] ultimate load : 4.5 [g] load factor : 2.2 [g]

design flight time : 4.93 [hours]

design cycles : 5964 sorties, design hours : 29394 [hours]

operational wing loading : 929 [N/m^2]

wing stress (3 g) during operation : 139 [N/kg] at 3g emergency manoeuvre

calculation : *6* (angles of attack)

angle of attack zero lift : -1.81 ["]

max. angle of attack (stalling angle) : 13.07 ["]

angle of attack at max. speed : 0.96 ["]

calculation : *7* (lift & drag ratios

lift coefficient at angle of attack 0° : 0.16 [ ]

lift coefficient at max. angle of attack : 1.31 [ ]

max.lift coefficient full flaps : 1.41 [ ]

lift coefficient at max. speed : 0.24 [ ]

induced drag coefficient at max. speed : 0.0028 [ ]

drag coefficient at max. speed : 0.0326 [ ]

drag coefficient (zero lift) : 0.0299 [ ]

calculation : *8* (speeds

stalling speed at sea-level (OW loaded : 11110 [kg]): 138 [km/u]

stalling speed at sea-level with full flaps (normal landing weight): 119 [km/u]

landing speed at sea-level (normal landing weight : 8913 [kg]): 137 [km/hr]

max. endurance speed : 138 [km/u] min. brpu : 143 [kg/hr] at cruise height : 100 [m]

max. rate of climb speed : 141.9 [km/hr] at sea-level

max. range speed : 193 [km/u] min.fuel cons.: 0.920 [kg/km] at cruise height : 1710 [m]

Douglas DC-3

The DST had an additional row of windows, for the upper bunk beds, here visible above the United Air Lines titles.

cruising speed : 297 [km/hr] at 3420 [m] (power:85 [%])

maximum speed : 313 [km/hr] at 2000 [m] (power:105 [%])

climbing speed at sea-level (loaded) : 368 [m/min]

climbing speed at 1000 [m] with 1 engine out (PUF / MTOW) : 88 [m/min]

calculation : *9* (regarding various performances)

take-off speed : 168.3 [km/u]

emergency/TO power : 1000 [hp] at 2424 [rpm]

static prop wash : 160 [km/u]

high wheel pressure, can only take off from paved runways

take-off distance at sea-level : 562 [m]

lift/drag ratio : 13.43 [ ]

climb to 1000m with max payload : 3.09 [min]

climb to 2000m with max payload : 6.28 [min]

climb to 3000m with max payload : 10.39 [min]

practical ceiling (operational weight 8689 [kg] ) : 7500 [m]

practical ceiling fully loaded (mtow- 30 min.fuel:11263 [kg] ) : 6000 [m]

calculation *10* (action radius & endurance)

published range : 2091 [km] with 3 crew and 1263.2 [kg] useful load and 88.1 [%] fuel

range : 1275 [km] with 3 crew and 2100.0 [kg] useful load and 53.7 [%] fuel

range : 1541 [km] with 21.0 passengers with each 10 [kg] luggage and 64.9 [%] fuel

Available Seat Kilometres (ASK) : 32366 [paskm]

max range theoretically with additional fuel tanks total 4870.1 [litre] fuel : 3882 [km]

useful load with range 500km : 3057 [kg]

useful load with range 500km : 21 passengers

production (useful load): 908 [tonkm/hour]

production (passengers): 6237 [paskm/hour]

oil and fuel consumption per tonkm : 0.36 [kg]

fuel cost per paskm : 0.036 [eur]

crew cost per paskm : 0.033 [eur]

Douglas DC-3 - Airplane Blueprint. Drawing Plans Schematics Sd Digital Art  by StockPhotosArt Com

Measured chord at root : 4.52 [m]

economic hours : 12775 [hours] is less then design hours

time between engine failure : 58 [hr]

can continue fly on 1 engine, low risk for emergency landing for PUF

writing off per paskm : 0.055 [eur]

insurance per paskm : 0.026 [eur]

maintenance cost per paskm : 0.128 [eur]

direct operating cost per paskm : 0.277 [eur]

direct operating cost per tonkm : 2.773 [eur]

Chisholm Poster - KLM Douglas DC-3

2+1 layout, 7 rows > 21 passengers was the normal layout in the 1930’s.

Literature :

Piston-engined airliners page 34, 35

Praktisch handboek vliegtuigen deel 2 page262,263

Douglas DC-3 - Wikipedia

Het lange leven van de DC-3 - Up in the Sky

Split flaps applied for slow approach

DOUGLAS DC-3

The Legendary Douglas DC-3 1935-2010 75th anniversary

The stewardess was introduced in the 1930’s

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/

content please mail to below mail address

(c) B van der Zalm 22 October 2021 contact : info.aircraftinvestigation@gmail.com python 3.7.4