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weight and performance calculations for the Boeing 757-200 (RR RB211-535E4)

***** PRELIMINARY FILE ****

Transavia 757-200 PH-TKB at Schiphol airport,Amsterdam ©bvdz

Boeing 757-200 (RR RB211-535E4)

role : jet airliner

importance : ****

first flight : operational : October 1984 (Eastern Airlines)

country : United States of America

design :

production : total 1050 aircraft (production ended 2004)

general information :

With these engines were from December 1986 EROPS flights allowed.

On April 8, 1988, a delivery flight was made for Air Europe, it flew non-stop from Seattle to Palma de

Mallorca, a distance of 9244 km, flown in 10 hours and 21 min (average 893 km/hr).

By March 1990, a total of 632,757s had been ordered and 270 had been delivered. These engines gave 76% more seat km per kg fuel than the 727-200.

In May 1986, the first Extended Range (ER) version was delivered to Royal Brunei Airlines. There is also an executive version.

On September 3, 1987, the first cargo version, designated 757-200PF, was delivered to UPS. It has a large cargo door and can accommodate 15 standard pallets and is equipped with the PW2040 engine of 185.5KN. It has no windows.

The 757-200M Combi made its first flight on July 15, 1988. It has a large cargo door and can accommodate three plates of 2.24 x 2.74 m and 150 passengers. Royal Nepal Airlines was launchcustomer with a copy. This was delivered on 15 September 1988. It remained with this single order.

Air Holland PH-AHI 757-200 at Schiphol airport, unfortunately the picture is damaged

© bvdz

Air Holland flies from April 1988 with the 757-200 with RR 535E4 engines and is allowed to operate transatlantic flights with it. In October 1998 it had 4 in service. By June 1998, a total of 920,757s had been ordered, of which 807 had been delivered.

primary users : Eastern Airlines, Air Holland, Transavia, Air Europe, Martinair, Canada 3000, American Airlines, China Southern, Birgenair, Britannia Airways, Air Niamey, Aurela

Accommodation:

flight crew : 2 cabin crew : 6

passengers : seating for 186 in two class : 16 business class and 170 economy deluxe class seats ( 33 -in pitch)

exit limit : 239 passengers

engine : 2 Rolls Royce RB211-535E4 turbofan engines of 178.4 [KN] (40105.2 [lbf])

dimensions :

wingspan : 38.05 [m], length : 47.32 [m], height : 13.56 [m]

wing area : 185.25 [m^2] fuselage exterior width : 3.76 [m]

weights :

empty weight : 57180 [kg]

operating empty weight : 60000 [kg] max. structural payload : 23450 [kg]

Zero Fuel weight (ZFW) : 83450 [kg] max. landing weight (MLW) : 89800 [kg]

max.take-off weight : 108850 [kg] weight fuel : 34144 [kg] (42680 [liter])

performance :

Max. operating Mach number (Mmo) : 0.86 [Mach] (960 [km/hr]) at 7500 [m]

normal cruise speed : 885 [km/hr] (Mach 0.82 ) at 10000 [m] (27 [%] power)

economic cruise speed : 863 [km/hr] (Mach 0.80 ) at 10000 [m]

service ceiling : 11878 [m]

range with max fuel : 7079 [km] (ATA domestic fuel reserves - 370.0 [km] alternate)

description :

low-wing cantilever monoplane with retractable landing gear with nose wheel

two spar fail-safe wing structure

with double slotted flaps with slotted LE flaps (slats) ,with spoilers airfoil : NACA with supercritical cross-section

Eastern Airlines RB211-535E4 powered 757-200 N504EA coming in for landing

sweep angle 3/4 chord: 25.0 [°]

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

construction : all-metal aluminium-alloy stressed-skin construction with pressurized fuselage

fuselage shape : 0

calculation : *1* (dimensions)

measured wing chord : 4.87 [m] at 50% wingspan

mean wing chord : 4.87 [m]

calculated average wing chord tapered wing with rounded tips: 4.81 [m]

wing aspect ratio : 7.82 []

seize (span*length*height) : 24415 [m^3]

calculation : *2* (fuel consumption)

oil consumption : 6.8 [kg/hr]

fuel consumption (econ. cruise speed) : 3955.7 [kg/hr] (4944.7 [litre/hr]) at 29 [%] power

distance flown for 1 kg fuel : 0.22 [km/kg] at 10000 [m] height, sfc : 38.9 [kg/KN/h]

total fuel capacity : 42680 [litre] (34144 [kg])

calculation : *3* (weight)

weight engine(s) dry : 7410.0 [kg] = 20.77 [kg/KN]

weight 86 litre oil tank : 7.29 [kg]

oil tank filled with 2.2 litre oil : 2.0 [kg]

oil in engine 4.4 litre oil : 3.9 [kg]

fuel in engine 19.5 litre fuel : 14.27 [kg]

weight fuel lines 82.3 [kg]

weight engine cowling 927.7 [kg]

weight thrust reversers 142.7 [kg]

total weight propulsion system : 8590 [kg](7.9 [%])

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

Accommodation cabin facilities:

typical 2-class cabin layout for 186 passengers : economy : pitch : 83.8 [cm] ( 3+3 ) seating in 31.5 rows

weight seats : 970.0 [kg]

Canada 3000 757-200 interior

high density seating passengers : 239 [pax] at 6 -abreast seating in 39.8 rows, pitch 73.7 [cm] (29-inch)

pax density, normal seating : 0.62 [m2/pax], high density seating : 0.48 [m2/pax]

weight 4 lavatories : 64.9 [kg]

weight 3 galleys : 183.0 [kg]

weight overhead stowage for hand luggage : 65.1 [kg]

weight 4 wardrobe closets : 37.2 [kg]

weight 65 windows : 58.6 [kg]

weight 8 1.83x0.86 [m] entrance/exit doors : 511.5 [kg]

weight 2 freight doors (belly) : 101.6 [kg]

cabin volume (usable), excluding flight deck : 315.72 [m3]

passenger cabin max.width : 3.52 [m] cabin length : 36.29 [m] cabin height : 2.06 [m]

floor area : 115.1 [m2]

weight cabin facilities : 1991.8 [kg]

safety facilities:

weight 9 hand fire extinguisher : 27 [kg]

weight lifejackets : 83.7 [kg]

weight cockpit voice recorder (CVR) and flight data recorder (FDR): 20.0 [kg]

weight oxygen masks & oxygen generators : 120.9 [kg]

weight emergency flare installation : 10 [kg]

weight 8 emergency evacuation slides : 87.4 [kg]

weight safety equipment & facilities : 349 [kg]

Martinair 757-27B PH-AHI c/n 24137 taxiing to the gate at Schiphol airport, Amsterdam.

fuselage construction:

fuselage aluminium frame : 17150 [kg]

floor loading (payload/m2): 204 [kg/m2]

weight rear pressure bulkhead : 199.2 [kg]

fuselage covering ( 422.2 [m2] duraluminium 3.44 [mm]) : 3823.4 [kg]

weight floor beams : 806.1 [kg]

weight cabin furbishing : 945.7 [kg]

weight cabin floor : 1656.1 [kg]

fuselage (sound proof) isolation : 305.5 [kg]

weight 7130 [litre] main central fuel tanks empty : 399.3 [kg]

weight fuselage structure : 25285.6 [kg]

Canada 3000 Boeing 757-28A C-FXOO c/n 25621

Avionics:

weight HF and UHF radio : 7.0 [kg]

weight dual cloud-collision radar : 25.0 [kg]

weight VOR/ILS,RMI,Doppler,radio altimeter : 12.0 [kg]

weight Integrated Flight System / auto-pilot : 23.0 [kg]

weight artificial horizons, compass, alti-meters : 7 [kg]

weight engine monitoring gauches & control switches : 6 [kg]

weight avionics : 80.0 [kg]

Systems:

Air-conditioning and pressurisation system maintains sea level conditions up to 6550 [m]

and gives equivalent of 2000 [m] at 11200 [m]. pressure differential : 0.59 [bars] (kg/cm2)

weight air-conditioning and pressurisation system : 261 [kg]

weight APU / engine starter: 89.2 [kg]

weight lighting : 61.4 [kg]

weight engine-driven 40kVA electricity generators : 46.5 [kg]

weight controls : 19.4 [kg]

weight systems : 478.0 [kg]

total weight fuselage : 28185 [kg](25.9 [%])

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

total weight aluminium ribs (1142 ribs) : 3882 [kg]

weight engine mounts : 178 [kg]

weight 6 fuel tanks empty for total 35550 [litre] fuel : 1991 [kg]

weight wing covering (painted aluminium 3.61 [mm]) : 3611 [kg]

total weight aluminium spars (multi-cellular wing structure) : 3390 [kg]

weight wings : 10883 [kg]

weight wing/square meter : 58.75 [kg]

weight thermal leading-edge anti-icing : 41.9 [kg]

weight fin & rudder (16.8 [m2]) : 989.7 [kg]

weight stabilizer & elevator (20.8 [m2]): 1225.7 [kg]

weight flight control hydraulic servo actuators: 66.0 [kg]

757-200 approaching Schiphol airport with the double-slotted flaps fully deployed.

weight double slotted flaps (31.3 [m2]) : 786.8 [kg]

weight leading edge slats (10.1 [m2]) : 165.8 [kg]

weight spoilers (6.8 [m2]) : 35.3 [kg]

total weight wing surfaces & bracing : 16363 [kg] (15.0 [%])

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

tyre pressure main wheels : 11.95 [Bar] (nitrogen), ply rating : 22 PR

Can only operate from paved runways

wheel pressure : 11973.5 [kg]

weight 8 Dunlop main wheels (1020 [mm] by 355 [mm]) : 792.1 [kg]

weight 2 nose wheels : 99.0 [kg]

weight mult-disc wheel-brakes : 83.5 [kg]

weight flywheel detector type anti-skid units : 9.0 [kg]

weight oleo-pneumatic shock absorbers : 111.3 [kg]

weight wheel hydraulic operated retraction system : 1117.0 [kg]

weight undercarriage struts (four-wheel bogies) with axle 3317.4 [kg]

total weight landing gear : 5529.2 [kg] (5.1 [%]

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

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

calculated empty weight : 58667 [kg](53.9 [%])

weight oil for 9.6 hours flying : 70.2 [kg]

weight catering : 305.0 [kg]

weight water : 244.0 [kg]

weight crew : 648 [kg]

weight crew lugage,nav.chards,flight doc.,miscell.items : 65 [kg]

operational weight empty : 60000 [kg] (55.1 [%])

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

weight 186 passengers : 14322 [kg]

weight luggage : 2976 [kg]

weight cargo : 6152 [kg]

zero fuel weight (ZFW): 83450 [kg](76.7 [%])

weight fuel for landing (1.6 hours flying) : 6350 [kg]

max. landing weight (MLW): 89800 [kg](82.5 [%])

max. fuel weight : 94144 [kg] (86.5 [%])

payload with max fuel : 158 passengers+luggage 14706 [kg]

published maximum take-off weight : 108850 [kg] (100.0 [%])

On October 02, 1990, China Southern's 757-21B B-2812 with 12 crew members and 110 passengers on board is waiting for clearance for take-off from the runway at Guangzhou-Baiyun int'l airport (CAN) when it is hit by the crashing B-737 B-2510. This 737 was hijacked, at the moment it landed there was a struggle in the cockpit so that there was no longer any control over the aircraft. The 737 hits the left wing of the 757 and crashes through the fuselage, after which a fire breaks out in the 757. On board the 757 there are 46 deaths and in the 737 82.

Would depart as Flight 2812 to Shanghai(SHA). c/n 24758/282 first flight : 1990 RR535E4 engines. Baiyun airport was moved 17km to the North in Aug.2004, name was retained. Location: +- 1 km 23°10'36"N 113°15'40"E )

Picture of the old Baiyun (CAN) airport

calculation : * 4 * (engine power)

power loading (Take-off) : 305 [kg/KN]

power loading (Take-off) 1 PUF: 610 [kg/KN]

max. total take-off power : 356.8 [KN]

calculation : *5* (loads)

manoeuvre load : 5.5 [g] at 1000 [m]

limit load : 3.0 [g] ultimate load : 4.5 [g] load factor : 1.1 [g]

design flight time : 3.28 [hours]

design cycles : 19935 sorties, design hours : 65385 [hours]

max. wing loading (MTOW & flaps retracted) : 588 [kg/m2]

wing stress (2 g) during operation : 179 [N/kg] at 2g emergency manoeuvre

calculation : *6* (angles of attack)

angle of attack zero lift : -1.76 ["]

max. angle of attack (stalling angle, clean) : 11.68 ["]

max. angle of attack (full flaps) : 10.88 ["]

angle of attack at max. speed : 1.35 ["]

calculation : *7* (lift & drag ratios

lift coefficient at angle of attack 0° : 0.15 [ ]

lift coefficient at max. speed : 0.27 [ ]

lift coefficient at max. angle of attack : 1.15 [ ]

max. lift coefficient full flaps : 1.65 [ ]

drag coefficient at max. speed : 0.0411 [ ]

drag coefficient at econ. cruise speed : 0.0463 [ ]

induced drag coefficient at econ. cruise speed : 0.0090 [ ]

drag coefficient (zero lift) : 0.0373 [ ]

lift/drag ratio at max. speed : 6.47 [ ]

calculation : *8* (speeds

stalling speed clean at sea-level (OW loaded : 104894 [kg]): 320 [km/u]

stalling speed at sea-level with full flaps (normal landing weight): 223 [km/u]

landing speed at sea-level (normal landing weight : 89525 [kg]): 256 [km/hr]

max. rate of climb speed : 572 [km/hr] at sea-level

max. endurance speed : 390 [km/u] min. fuel/hr : 3132 [kg/hr] at height : 2134 [m]

max. range speed : 863 [km/u] min. fuel consumption : 4.190 [kg/km] at cruise height : 11278 [m]

On December 20, 1995, American Airlines' 757-223 N651AA flies during a VOR-DME approach to RW19 Cali at 2712m altitude against Mount San Jose 30 km from Cali. Near Buga in the Andes. Flight 965 had taken off with 156 passengers and 8 crew members from Miami (MIA) with destination Cali (CLO). Crew had started preparing for landing too late, made mistakes and went off course, putting them in mountainous areas. GWPS alarm went off. Crews increased power and tried to climb out, but they forgot to fold the spoilers again, giving the wings virtually no lift. There are only 4 survivors. c/n 24609/390 1st flight 1991 13782 flight hours 4922 cycles RR535E4B engines. Location : +-50m 3°50'45.2"N 76°06'17.1"W taken from the accident report)

cruising speed : 885 [km/hr] at 10000 [m] (power:29 [%])

max. operational speed (Mmo) : 960.00 [km/hr] (Mach 0.86 ) at 7500 [m] (power:41.7 [%])

airflow at cruise speed per engine : 281.6 [kg/s]

speed of thrust jet : 1556 [km/hr]

climbing speed at sea-level (loaded) : 1748 [m/min]

climbing speed at 1000 [m] with 1 engine out (PUF / MTOW) : 499 [m/min]

calculation : *9* (regarding various performances)

take-off speed : 344.1 [km/u]

high wheel pressure, can only take off from paved runways

take-off distance at sea-level concrete runway : 1987 [m]

take-off distance at sea-level over 15 [m] height : 2068 [m]

landing run : 1311 [m]

landing run (C.A.R.) from 15 [m] : 2003 [m]

lift/drag ratio : 11.17 [ ]

climb to 5000 [m] with max payload : 2.73 [min]

climb to 10000 [m] with max payload : 4.58 [min]

theoretical ceiling fully loaded (mtow- 60 min. fuel:104894 [kg] ) : 15200 [m]

calculation *10* (action radius & endurance)

range with max. payload: 5438 [km] with 23450.0 [kg] max. useful load (74.4 [%] fuel)

range with high density pax: 5721 [km] with 239 passengers (78.0 [%] fuel)

range with typical two-class pax: 6846 [km] with 186 passengers (92.4 [%] fuel)

range with max.fuel : 7449 [km] with 8 crew and 158 [kg] passengers and 100.0 [%] fuel

757-225 TC-GEN taking off from RW33 at Antalya, August 1995.

On February 06, 1996, the 757-225 TC-GEN crashes into the sea 26km NE of Puerto Plata, Dominican Republic shortly after take-off. All 189 passengers are killed. The 757 was leased from Birgenair by Alas Nacionales for a charter from Puerto Plata (POP) via Gander, Canada (YQX) to Frankfurt with 176 passengers and 13 crew members. Because the captain's ASI (Air Speed Indicator) did not work properly, the auto-pilot also became upset, which reacted as if the plane was flying far too fast and reduced power. The crew also no longer trusted the ASI of the co-pilot. The result was that the plane started flying far too slowly and got into a stall that could not be recovered. The ASI did not work correctly because the pitot tube was clogged. c/n 22206/31 first flight : 1985, 29269 flight hours, 13499 cycles RR535E4 engines.

Location : +-2km 19°56'59"N 70°24'14"W

ferry range : 7933 [km] with 2 crew and zero payload (100.0 [%] fuel)

max range theoretically with additional fuel tanks total 62356.3 [litre] fuel : 11242 [km]

Available Seat Kilometres (ASK) : 1273290 [paskm]

useful load with range 1000km : 23450 [kg]

useful load with range 1000km : 239 passengers

production (theor.max load): 20753 [tonkm/hour]

production (useful load): 20753 [tonkm/hour]

production (passengers): 164610 [paskm/hour]

oil and fuel consumption per tonkm : 0.191 [kg]

fuel cost per paskm : 0.024 [eur]

crew cost per paskm : 0.006 [eur]

economic hours : 22300 [hours] is less then design hours

time between engine failure : 1178 [hr]

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

writing off per paskm : 0.013 [eur]

insurance per paskm : 0.0008 [eur]

maintenance cost per paskm : 0.023 [eur]

direct operating cost per paskm : 0.068 [eur]

direct operating cost per tonkm (max. load): 0.536 [eur]

direct operating cost per tonkm (normal useful load): 0.536 [eur]

On 24 December 1997 , Transavia's 757-2K2 PH-TKC made a hard landing at RW19R (Zwanenburg runway) at Schiphol. Flight 462 from Las Palmas (LPA) to Amsterdam-Schiphol int'l airport (SPL) with 205 passengers and 8 crew members.

c/n 26635/608 ^1st flight : 1994 13629 flight hours 4645 cycles RR535E4 engines. Landed with too much of a crosswind. Fortunately, almost everyone gets off the plane safely. There are 4 wounded. Location: +-100m 52°18'24.45"N 4°44'11.69"E

Britannia Airways' 757-204 G-BYAG encountered windshear on 15 September 1999 while approaching RW20 at Girona airport. The 757 was fully loaded with 236 passengers at 73.7 cm pitch (exit limit : max 239 passengers). The landing took place in heavy rain, in the dark, with thunderstorms and turbulence. Just before landing, the runway lights go out. The plane makes a hard landing and flies off the runway. Charter flight BY226A from Cardiff (CWL)to Gerona, Spain (GRO) with 236 passengers and 9 crew members. c/n 26965/517 1st flight : 1992, 26429 flight hours 9816 cycles. RR RB211-535 ^E 4 engines. There are 68 wounded. Location : +-50m 41°53'46.90"N 2°45'28.76"E

B-2816 being towed at Nagoya airport, July 2009

On October 17, 1999, 757-21B B-2816 c/n 25083/359 of China Southern flew into severe turbulence shortly before landing on Hong Kong. Of the 160 passengers, 47 were injured. RR RB211-535 ^E 4 Engines. Location : +-30km 22°18'42"N 113°55'05"E

N644AA at Phoenix airport, October 2000

On September 11, 2001 "Nine-Eleven", the 757-223 N644AA of American Airlines is hijacked by 5 terrorists with the aim of crashing into the Pentagon. Flight 77 from Washington-Dulles (IAD) to Los Angeles (LAX) with 58 passengers and 6 crew members. The terrorists take control and return to Washington. Crashed on the Pentagon, Washington(DC) all occupants dead, 125 dead on the ground (total 189 dead). c/n 24602/365 1st flight : 1991, 33432 flight hours 11789 cycles RR535E4B engines. Location : +-5m 38°52'15.10"N 77°03'30.11"W

757-23N LY-SKJ in service of Air Niamey on November 24, 2008 left landing gear collapsed while taxiing at Garoua airport, Cameroun and comes to a stop leaning on the left engine. The plane wanted to take off for a Hajj flight to Mecca. All pilgrims quickly leave the plane with no injuries. It was reported that there were no less than 307 passengers on board, so far above the exit limit of 239 passengers. At 80 [kg] per passenger, the weight comes to 24560 [kg], so already above the maximum payload and then no luggage has been counted, no wonder the 757 didn't feel like it and went through its hooves. The aircraft was borrowed from Aurela for this charter, but it continues to deny that it was their aircraft that was involved in this incident.

location : +-500m 9°20'08"N 13°22'14"E

Literature :

Scramble 356 page 87 and Scramble 357 page 60

Wikipedia

Jane’s all the world aircraft ‘90-’91 page 380

Air international okt’98 page 252

www.aviation-safety.net

https://contentzone.eurocontrol.int/aircraftperformance/default.aspx?

https://www.boeing.com/search/results.html?q=airplane+characteristics

Canada 3000 Boeing 757-23A C-FXOK c/n 24924

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 2022 contact : info.aircraftinvestigation@gmail.com python 3.7.4