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PART A 1. Search and list out the total weight of various types of aircrafts. Airplane, also called aeroplane or plane, any of a class of fixed-wing aircraft hat is heavier than air, propelled by a screw propeller or a high-velocity jet, and supported by the dynamic reaction of the air against…
Swapnil Shinde
updated on 28 Nov 2022
PART A
1. Search and list out the total weight of various types of aircrafts.
Airplane, also called aeroplane or plane, any of a class of fixed-wing aircraft hat is heavier than air, propelled by a screw propeller or a high-velocity jet, and supported by the dynamic reaction of the air against its wings.
The essential components of an airplane are a wing system to sustain it in flight, tail surfaces to stabilize the wings, movable surfaces to control the attitude of the plane in flight, and a power plant to provide the thrust necessary to push the vehicle through the air.
Mass and Weight are two different terms. Mass is the amount of matter present in an object and mass of an on=bject remains constant. Weight is the gravitational pullmor force acting on an object. Weight is the force generated by the gravitational attraction of the earth on the aircraft. Each part of the aircraft has a unique weight and mass, and for some problems it is important to know the distribution. But for total aircraft maneuvering, we only need to be concerned with the total weight and the location of the center of gravity. The center of gravity is the average location of the mass of any object.
Fig(1): Total Aircraft Weight
An airplane is a combination of many parts; the wings, engines, fuselage, and tail, plus the payload and the fuel. Each part has a weight associated with it which the engineer can estimate, or calculate, using Newton’s weight equation:
where w is the weight, m is the mass, and g is the gravitational constant which is 32.2 ft/square sec in English units and 9.8 meters/square sec in metric units. The mass of an individual component can be calculated if we know the size of the component and its chemical composition. Every material (iron, plastic, aluminum, gasoline, etc.) has a unique density. Density r is defined to be the mass divided by the volume v:
If we can calculate the volume.
The total weight W of the aircraft is simply the sum of the weight of all of the individual components.
Types of Weight:
a) Manufacturer's Empty Weight (MEW)
b) Maximum Flight Weight (MFW)
c) Maximum Takeoff Weight (MTOW)
d) Maximum Landing Weight(MLW)
e) Maximum Zero-Fuel Weight(MZFW)
f) Aircraft Gross Weight
g) Payload:
Fig(2): Takoff Weight Components
Different types of Aircraft:
Type | MTOW [kg] | MLW [tonnes] | TOR [m] | LR [m] | ICAO category | FAA category |
---|---|---|---|---|---|---|
Antonov An-225 | 640,000 | 591.7 | 3500 | Heavy | Super | |
Scaled Composites Model 351 Stratolaunch | 589,670 | 3660 | Heavy | Super | ||
Airbus A380-800[1][2][3] | 575,000 | 394 | 3100 | 1930 | Heavy | Super |
Boeing 747-8F | 447,700 | 346.091 | 3100 | 1800 | Heavy | Heavy |
Boeing 747-8 | 443,613 | 306.175 | 3100 | Heavy | Heavy | |
Boeing 747-400ER | 412,770 | 295.742 | 3090 | Heavy | Heavy | |
Antonov An-124-100M | 405,060 | 330 | 2520 | 900 | Heavy | Heavy |
Boeing 747-400 | 396,900 | 295.742 | 3018 | 2179 | Heavy | Heavy |
Lockheed C-5 Galaxy[4][5][6] | 381,000 | 288.417 | 2530 | 1494 | Heavy | Heavy |
Boeing 747-200[7] | 377,840 | 285.700 | 3338 | 2109 | Heavy | Heavy |
Boeing 747-300[7] | 377,840 | 260.320 | 3222 | 1905 | Heavy | Heavy |
Airbus A340-500[8] | 371,950 | 240 | 3050 | 2010 | Heavy | Heavy |
Airbus A340-600[8] | 367,400 | 256 | 3100 | 2100 | Heavy | Heavy |
Boeing 777F | 347,800 | 260.816 | 2830 | Heavy | Heavy | |
Boeing 777-300ER | 351,800 | 251.29 | 3100 | Heavy | Heavy | |
Boeing 777-200LR | 347,450 | 223.168 | 3000 | Heavy | Heavy | |
Boeing 747-100[7] | 340,200 | 265.300 | Heavy | Heavy | ||
Airbus A350-1000 | 308,000 | 233.5 | Heavy | Heavy | ||
Boeing 777-300 | 299,370 | 237.683 | 3380 | Heavy | Heavy | |
Boeing 777-200ER | 297,550 | 213.00 | 3380 | 1550 | Heavy | Heavy |
Airbus A340-300[8][9] | 276,700 | 190 | 3000 | 1926 | Heavy | Heavy |
McDonnell Douglas MD-11 | 273,300 | 185 | 2990 | 1890 | Heavy | Heavy |
Airbus A350-900 | 270,000 | 175 | 2670 | 1860 | Heavy | Heavy |
Ilyushin Il-96M | 270,000 | 195.04 | 3115 | 2118 | Heavy | Heavy |
McDonnell Douglas DC-10 | 256,280 | 183 | 2990 | 1890 | Heavy | Heavy |
Boeing 787-9[10] | 254,000 | 192.777 | 2900 | Heavy | Heavy | |
Boeing 787-10[10] | 254,000 | 201.849 | Heavy | Heavy | ||
Airbus A340-200[8][11] | 253,500 | 181 | 2990 | Heavy | Heavy | |
Airbus A330-900 | 251,000 | 191 | 3100 | Heavy | Heavy | |
Ilyushin IL-96-300 | 250,000 | 175 | 2600 | 1980 | Heavy | Heavy |
Airbus A330-300[12][13] | 242,000 | 185 | 2500 | 1750 | Heavy | Heavy |
Airbus A330-200[12][13] | 242,000 | 180 | 2220 | 1750 | Heavy | Heavy |
Lockheed L-1011-500 | 231,300 | 166.92 | 2636 | Heavy | Heavy | |
Boeing 787-8[10] | 228,000 | 172.365 | 3300 | 1695 | Heavy | Heavy |
Lockheed L-1011-200 | 211,400 | Heavy | Heavy | |||
Ilyushin IL-86 | 208,000 | 175 | Heavy | Heavy | ||
Boeing 767-400ER | 204,000 | 158.758 | 3414 | Heavy | Heavy | |
Airbus A300-600R[14] | 192,000 | 140 | 2385 | 1555 | Heavy | Heavy |
Boeing 767-300ER | 187,000 | 136.08 | 2713 | 1676 | Heavy | Heavy |
Concorde | 185,000 | 111.1 | 3440 | 2220 | Heavy | Heavy |
Airbus A300-600[14] | 163,000 | 138 | 2324 | 1536 | Heavy | Heavy |
Boeing 767-300 | 159,000 | 136.078 | 2713 | 1676 | Heavy | Heavy |
Airbus A310-300[14] | 157,000 | 124 | 2290 | 1490 | Heavy | Heavy |
Vickers VC10 | 152,000 | 151.9 | Heavy | Heavy | ||
Boeing 707-320B[15] | 151,000 | 97.5 | Heavy | Heavy | ||
Boeing 707-320C[15] | 151,000 | 112.1 | Heavy | Heavy | ||
Douglas DC-8-61 | 147,000 | Heavy | Heavy | |||
Airbus A310-200[14] | 142,000 | 123 | 1860 | 1480 | Heavy | Heavy |
Airbus A400M | 141,000 | 122 | 980 | 770 | Heavy | Heavy |
Douglas DC-8-32 | 140,000 | Heavy | Heavy | |||
Douglas DC-8-51 | 125,000 | Medium | Large | |||
Boeing 757-300 | 124,000 | 101.6 | 2550 | 1750 | Medium | Large |
Boeing 707-120B[15] | 117,000 | 86.3 | Medium | Large | ||
Boeing 757-200 | 116,000 | 89.9 | 2347 | 1555 | Medium | Large |
Boeing 720B[16] | 106,000 | 79.5 | Medium | Large | ||
Boeing 720[16] | 104,000 | 79.5 | Medium | Large | ||
Tupolev Tu-154M | 104,000 | 80 | Medium | Large | ||
Tupolev Tu-204SM | 104,000 | 87.5 | 2250 | Medium | Large | |
Convair 880 | 87,500 | Medium | Large | |||
Boeing 737-900 | 85,000 | 66.36 | 2500 | 1704 | Medium | Large |
Boeing 737-900ER | 85,000 | 71.35 | 2804 | 1829 | Medium | Large |
Boeing 727-200 Advanced[17] | 84,000 | 70.1 | Medium | Large | ||
Airbus A321-100[18] | 83,000 | 77.8 | 2200 | 1540 | Medium | Large |
Boeing 737-800 | 79,000 | 65.32 | 2308 | 1634 | Medium | Large |
Boeing 727-200[17] | 78,000 | 68.1 | Medium | Large | ||
McDonnell-Douglas MD-83 | 73,000 | 63.28 | Medium | Large | ||
Boeing 727-100[17] | 72,500 | 62.4 | Medium | Large | ||
Boeing 727-100C[17] | 72,500 | 62.4 | Medium | Large | ||
McDonnell-Douglas MD-90-30 | 71,000 | 64.41 | 2165 | 1520 | Medium | Large |
de Havilland Comet 4 | 70,700 | Medium | Large | |||
Boeing 737-700 | 70,000 | 58.06 | 1921 | 1415 | Medium | Large |
Airbus A320-100[18] | 68,000 | 66 | 1955 | 1490 | Medium | Large |
Boeing 737-400 | 68,000 | 54.9 | 2540 | 1540 | Medium | Large |
de Havilland Comet 3 | 68,000 | Medium | Large | |||
Boeing 377 | 67,000 | Medium | Large | |||
Boeing 737-600 | 66,000 | 54.66 | 1796 | 1340 | Medium | Large |
Airbus A220-300 | 65,000 | 57.61 | 1890 | 1494 | Medium | Large |
Hawker Siddeley Trident 2E | 65,000 | Medium | Large | |||
Airbus A319[18] | 64,000 | 62.5 | 1850 | 1470 | Medium | Large |
Boeing 737-300 | 63,000 | 51.7 | 1939 | 1396 | Medium | Large |
Boeing 737-500 | 60,000 | 49.9 | 1832 | 1360 | Medium | Large |
Airbus A220-100 | 59,000 | 50.80 | 1463 | 1356 | Medium | Large |
Airbus A318[18] | 59,000 | 57.5 | 1375 | 1340 | Medium | Large |
Boeing 717-200HGW | 55,000 | 47.174 | 1950 | Medium | Large | |
Douglas DC-7 | 55,000 | Medium | Large | |||
de Havilland Comet 2 | 54,000 | Medium | Large | |||
Boeing 717-200BGW | 50,000 | 46.265 | 1950 | Medium | Large | |
de Havilland Comet 1 | 50,000 | Medium | Large | |||
Douglas DC-6A | 48,600 | Medium | Large | |||
Douglas DC-6B | 48,500 | Medium | Large | |||
Embraer 190[19] | 48,000 | 43 | 2056 | 1323 | Medium | Large |
Caravelle III | 46,000 | Medium | Large | |||
Fokker 100 | 46,000 | 39.95 | 1621 | 1350 | Medium | Large |
Douglas DC-6 | 44,000 | Medium | Large | |||
Avro RJ-85 | 42,000 | 36.74 | Medium | Large | ||
Handley Page Hermes | 39,000 | Medium | Large | |||
Embraer 175[20] | 37,500 | 32.8 | 2244 | 1304 | Medium | Large |
Bombardier CRJ900[21] | 36,500 | 33.345 | 1778 | 1596 | Medium | Large |
Embraer 170[22] | 36,000 | 32.8 | 1644 | 1274 | Medium | Large |
Bombardier CRJ700 | 33,000 | 30.39 | 1564 | 1478 | Medium | Large |
Douglas DC-4 | 33,000 | Medium | Large | |||
Vickers Viscount 800 | 30,400 | Medium | Large | |||
Bombardier Q400 | 28,000 | 28.01 | 1219 | 1295 | Medium | Large |
Bombardier CRJ200 | 23,000 | 21.319 | 1918 | 1479 | Medium | Large |
ATR 72-600 | 22,800 | 22.35 | 1333 | 914 | Medium | Large |
Saab 2000 | 22,800 | 21.5 | 1300 | Medium | Large | |
Embraer ERJ 145 | 22,000 | 19.3 | 2270 | 1380 | Medium | Large |
ATR 42-500 | 18,600 | 18.3 | 1165 | 1126 | Medium | Small |
Saab 340 | 13,150 | 12.930 | 1300 | 1030 | Medium | Small |
Embraer 120 Brasilia | 11,500 | 11.25 | 1560 | 1380 | Medium | Small |
BAe Jetstream 41 | 10,890 | 10.570 | 1493 | 826 | Medium | Small |
Learjet 75[23] | 9,752 | 8.709 | 1353 | 811 | Medium | Small |
Pilatus PC-24[24] | 8,300 | 7.665 | 893 | 724 | Medium | Small |
Embraer Phenom 300[25] | 8,150 | 7.65 | 956 | 677 | Medium | Small |
Beechcraft 1900D | 7,765 | 7.605 | 1036 | 853 | Medium | Small |
Cessna Citation CJ4[26] | 7,761 | 7.103 | 1039 | 896 | Medium | Small |
de Havilland Hercules | 7,000 | Medium | Small | |||
Embraer Phenom 100 | 4,800 | 4.43 | 975 | 741 | Light | Small |
2. Is there any difference between ground speed and air speed?
Fig(3): Aircraft AirSpeed and WindSpeed
While ground speed is the airplane’s speed relative to the surface of the Earth, airspeed – at least true airspeed – is its speed relative to the air it is flying in.
true airspeed is simply the speed at which an aircraft is moving relative to the air it is flying in. As such, it’s also the speed at which the air is flowing around the aircraft’s wings.
Ground speed, on the other hand, is the aircraft’s speed relative to the ground. One thing that should be noted here is that it’s its horizontal rather than vertical speed – an aircraft climbing completely vertically would have a ground speed of zero.
In other words, while airspeed is what determines whether there is enough airflow around an aircraft to make it fly, ground speed is what determines how fast an aircraft will get to its destination.
Wind Effects on Ground Speed:
The relationship between airspeed and ground speed is fairly simple. Ground speed is simply the sum of airspeed and wind speed.
If the aircraft is flying in the same direction as the wind is blowing, the aircraft experiences tailwind, and its ground speed is higher than its airspeed. On the other hand, if the wind is blowing against the direction the aircraft is traveling in, the aircraft experiences headwind, and its ground speed is lower than its airspeed.
Wind Speed:
For a reference point picked on the ground, the air moves relative to the reference point at the wind speed. Notice that the wind speed is a vector quantity and has both a magnitude and a direction. Direction is important. A 20 mph wind from the west is different from a 20 mph wind from the east. The wind has components in all three primary directions (north-south, east-west, and up-down). In this figure, we are considering only velocities along the aircraft's flight path. A positive velocity is defined to be in the direction of the aircraft's motion. We are neglecting cross winds, which occur perpendicular to the flight path but parallel to the ground, and updrafts and downdrafts, which occur perpendicular to the ground.
Ground Speed
For a reference point picked on the ground, the aircraft moves relative to the reference point at the ground speed. Ground speed is also a vector quantity so a comparison of the ground speed to the wind speed must be done according to rules for vector comparisons.
Airspeed
The important quantity in the generation of lift is the relative velocity between the object and the air, which is called the airspeed. Airspeed cannot be directly measured from a ground position, but must be computed from the ground speed and the wind speed. Airspeed is the vector difference between the ground speed and the wind speed. For measuring the air speed Aircraft uses Pitot Tube.
Airspeed = Ground Speed - Wind Speed
On a perfectly still day, the airspeed is equal to the ground speed. But if the wind is blowing in the same direction that the aircraft is moving, the airspeed will be less than the ground speed.
Example:
Suppose we had an aeroplane that could take off on a windless day at 100 mph (liftoff airspeed is 100 mph). We are at an airport with an east-west runway that is 1 mile long. The wind is blowing 20 mph towards the west and the aeroplane takes off going east. The wind is blowing towards the aircraft which we call a headwind. Since we have defined a positive velocity to be in the direction of the aircraft's motion, a headwind is a negative velocity. While the plane is sitting still on the runway, it has a ground speed of 0 and an airspeed of 20 mph:
Airspeed = Ground Speed (0) - Wind Speed (-20) = 20 mph
The aeroplane starts its takeoff roll and has a constant acceleration a. From Newton's second law of motion, the ground speed V at any time t is:
V\ = a * t
and the distance d down the runway at any time is:
d = 1/2 * a * t^2
For a fixed-length runway, this specifies the time to be used in the velocity equation. Let's assume that at 5000 feet down the runway, the velocity is 80 mph. Then the airspeed is given by
Airspeed = Ground Speed (80) - Wind Speed (-20) = 100 mph
and the aeroplane begins to fly.
Now another pilot, with the same aeroplane decides to take off to the west. The wind is now in the same direction as the motion and this is called a tailwind. The sign on the wind speed is now positive, not negative as with the headwind. The acceleration along the ground is the same, so at 5000 feet down the runway, the ground speed is again 80 mph. The airspeed is then given by:
Airspeed = Ground Speed (80) - Wind Speed (20) = 60 mph
This airplane doesn't have enough airspeed to fly. It runs off the end of the runway.
3. Why is it not recommended to use aircraft engine power to move it on the ground at Airport?
Fig(4): Towing of Aircraft
Although Modern Aircraft are capable of moving themselves on ground but due to following reasons Aircraft are Towed by Tow Tractor:
4. How an aircraft is pushed to runway when its ready to take off?
PHASES OF FLIGHT:
Federal Aviation Administration (FAA) 4.1 Taxi
Taxiing refers to the movement of an aircraft on the ground, under its own power. The aircraft moves on wheels. An airplane uses taxiways to taxi from one place on an airport to another; for example, when moving from a terminal to the runway.
The aircrafts always moves on the ground following the yellow lines, to avoid any collision with the surrounding buildings, vehicles or other aircrafts. The taxiing motion has a speed limit. Before making a turn, the pilot reduces the speed further to prevent tire skids. Just like cars, there is a certain list of priorities during taxiing. The aircrafts that are landing or taking off have higher priority. The other aircrafts have to wait for these aircrafts before they start or continue taxiing.
The thrust to propel the aircraft forward comes from its propellers or jet engines. Steering is achieved by turning a nose wheel or tail wheel/rudder; the pilot controlling the direction travelled with their feet. The use of engine thrust near terminals is restricted due to the possibility of jet blast damage. This is why the aircrafts are pushed back from the buildings by a vehicle before they can start their own engines for taxiing.
TAKE OFF:
Takeoff is the phase of flight in which an aircraft goes through a transition from moving along the ground (taxiing) to flying in the air, usually starting on a runway. Usually the engines are run at full power during takeoff. Following the taxi motion, the aircraft stops at the starting line of the runway. Before takeoff, the engines, particularly piston engines, are routinely run up at high power to check for engine-related problems. This makes a consid- erable noise. When the pilot releases the brakes, the aircraft starts accelerating rapidly until the necessary speed for take-off is achieved.
The takeoff speed required varies with air den- sity, aircraft weight, and aircraft configuration (flap and/or slat position, as applicable). Air density is affected by factors such as field ele- vation and air temperature.
Operations with transport category aircraft employ the concept of the takeoff V-Speeds, V1 and V2. These speeds are determined not only by the above factors affecting takeoff perform- ance, but also by the length and slope of the runway. Below V1, in case of critical failures, the takeoff should be aborted; above V1 the pilot continues the takeoff and returns for land- ing. After the co-pilot calls V1, Then, V2 (the safe takeoff speed) is called. This speed must be maintained after an engine failure to meet per- formance targets for rate of climb and angle of climb.
The speeds needed for takeoff are relative to the motion of the air (indicated airspeed). A head wind will reduce the ground speed needed for takeoff, as there is a greater flow of air over the wings. This is why the aircrafts always take off against the wind. Side wind is not preferred as it would disturb the stability of the aircraft. Typical takeoff air speeds for jetliners are in the 130–155 knot range (150–180 mph, 240–285 km/h). For a given aircraft, the takeoff speed is usually directly proportional to the aircraft weight; the heavier the weight, the greater the speed needed. Some aircraft have difficulty generating enough lift at the low speeds encountered during takeoff. These are therefore fitted with high-lift devices, often including slats and usually flaps, which increase the camber of the wing, making it more effective at low speed, thus creating more lift. These have to be deployed from the wing before performing any maneuver.
At the beginning of the climb phase, the wheels are retracted into the aircraft and the undercarriage doors are closed. This operation is audible by the passengers as a noise coming from below the floor.
CLIMB:
Following take-off, the aircraft has to climb to a certain altitude (typically 30,000 ft or 10 km) before it can cruise at this altitude in a safe and economic way. A climb is carried out by increasing the lift of wings supporting the aircraft until their lifting force exceeds the weight of the aircraft. Once this occurs, the aircraft will climb to a higher altitude until the lifting force and weight are again in balance. The increase in lift may be accomplished by increasing the angle of attack of the wings, by increasing the thrust of the engines to increase speed (thereby increasing lift), by increasing the surface area or shape of the wing to produce greater lift, or by some combination of these techniques. In most cases, engine thrust and angle of attack are simultaneously increased to produce a climb.
Because lift diminishes with decreasing air density, a climb, once initiated, will end by itself when the diminishing lift with increasing altitude drops to a point that equals the weight of the aircraft. At that point, the aircraft will return to level flight at a constant altitude. During climb phase, it is normal that the engine noise diminishes. This is because the engines are operated at a lower power level after the take-off. It is also possible to hear a whirring noise or a change in the tone of the noise during climb. This is the sound of the flaps that are retracting. A wing with retracted flap produces less noise.
5. Learn about take off power, tyre design, rolling resistance, tyre pressure, brake forces when landing.
(A) TAKE OFF POWER:
The takeoff involves 3 steps:
Takeoff roll (ground roll) is the portion of the takeoff procedure during which the airplane is accelerated from a standstill to an airspeed between (140 knots to 150knots) that provides sufficient lift for it to become airborne.
Lift-off is when the wings are lifting the weight of the airplane off the surface. In most airplanes, this is the result of the pilot rotating the nose up to increase the angle of attack (AOA).
The initial climb begins when the airplane leaves the surface and a climb pitch attitude has been established. Normally, it is considered complete when the airplane has reached a safe maneuvering altitude or an en route climb has been established.
Take off performance can be predicted using a simple measure of the acceleration of the aircraft along the runway based on force equilibrium.
The forces involved are:
Where,
T = Thrust of propulsion system pushing aircraft along runway.
D = Aerodynamic Drag of vehicle resisting the aircraft motion.
F = Rolling resistance friction due to the contact of wheels or skids on the ground.
dv/dt =Acceleration along with the runway
m = Mass of the Aircraft
Power =(T-D-F)*V
(b) TYRE DESIGN:
When it comes to safety tyres are one of the most important components of aircraft. They help to absorb the shock of landing and provide cushioning. It also provides the necessary traction for braking and stopping of an aircraft.
An aircraft tyre is designed to withstand extremely heavy loads while landing, take off, taxing and parking. The number of wheels required for aircraft increases with the weight of the aircraft, as the weight of the aeroplane needs to be distributed more evenly.
A Boeing 737NG & 737MAX uses 6 wheels, Boeing 787 uses 10 wheels, Boeing 777 uses 14 wheels and Airbus A380 uses 22 wheels. Aircraft tyres work under extreme conditions, carrying up to 340 tons and accelerating at over 250 km/hour at takeoff, in addition to enduring varied environmental stress when in flight and taxiing.
Design and Construction of Aircraft tyre
Carcass plies are used to form the tire. They are sometimes called casing plies. An aircraft tyre is constructed for the purpose it serves.
1. They support the weight of an aircraft while it is on the ground.
2. It also provides the necessary traction for braking and stopping of an aeroplane.
3. Tyre also helps to absorb the shock of landing and provide cushioning the roughness of takeoff, roll-out, and taxi operations.
Unlike an automobile or truck tyre, it does not have to carry a load for a long period of continuous operation. However, an aircraft tyre absorbs the high impact loads of landing and also it’s operating at high speeds for a short time when required.
Some technical aspects of the tyre :
Retreading – Retreading is methods of restoring a worn tyre by renewing the tread area or by renewing the tread area plus one or both sidewalls. Repairs are included in the tyre retreading process.
Load Rating – Load rating is the maximum permissible load at a specified inflation pressure.
Ply Rating – Ply Rating is used to identify the maximum recommended load rating and inflation pressure for a specified tyre. It is an index of tyre strength.
Speed Rating – The speed rating is the maximum takeoff speed to which the tyre has been tested.
Skid Depth – Skid depth is the distance between the tread surface and the deepest groove as measured in the mould.
Aircraft tyres must have an approved speed and load rating and have sufficient clearance when retracted through landing gear to allow for tyre growth. Tyre growth is the increase in the size of the tyre due to centrifugal forces at high speed.Aircraft tyres may be Tube-type or Tubeless
Tubeless tyres are more advantageous over tube-type. There is no longer the use of tube-type tyre in recent aviation. Nowadays all airliners are using tubeless tyres. Tubeless that are meant to be used without a tube has the word TUBELESS on the sidewall of the tyre.
Aircraft tyres may be Radial or Bias
Almost all airliners are using Radial tyre. Bias is an older design, and it’s mainly used for road vehicles. Radial tyres have the word RADIAL on the sidewall. Radial tires are more expensive than bias-ply tyres. Radial tires are in demand because of their lower life cycle cost and long term value.
Radial tyre construction :
Radial tires are the most modern design of aircraft tyres. It is a design that is similar to that of car tyres. Typically, the radial tyre offers more landings per tread and lighter weight than a bias tyre; though sometimes at the expense of retread lives.
Radial aircraft tyres differ to bias aircraft tyres in that the plies all run radially from bead to bead at approximately 90° to the centre-line of the tyre. Angled belt plies are laid between the tread and the top casing ply, resulting in a flatter tread and adding strength to the tyre.
Bias ply tyre :
A bias-ply tyre has the fabric bias oriented with and across the direction of rotation and the sidewall. Since fabric can stretch on the bias, the tyre is flexible and can absorb loads. Tyre strength is obtained by adding plies.
(C) ROLLING RESISTANCE:
Rolling resistance is the force resisting the motion when a body (such as a ball, tire, or wheel) rolls on a surface.
Rolling resistance can be seen in the aircraft when the aircraft Takes off at the runway with the help of from the runway and while landing its wheels.
The rolling resistance can be expressed
Fr =c*W
where
F= rolling resistance or rolling friction
c=rolling resistance coefficient - dimensionless (coefficient of rolling friction-CRF)
W=normal force or weight of the body
W = m*ag
where
m=mass of the body (kg, lb)
ag =acceleration of gravity (9.81 m/s2.32.174 ft/s²)
The rolling resistance can alternatively be expressed as
Fr=cl W/r
where
cl=rolling resistance coefficient- dimension length (coefficient of rolling friction) (mm, in)
r=radius of the wheel (mm, in)
(D) TYRE PRESSURE:
(E) BRAKE FORCES WHEN LANDING:
When the aircraft wheels touch the ground, a set of spoilers raise up quickly, which kills the lift provided by the wings. (There are two sets seen in the image below: ground spoilers that only deploy on landing, and spoilers that are used in flight as speed brakes as well as on landing.) While the spoilers provide some drag, their primary purpose is to stop the plane from actually flying, putting all of the weight on the landing gear and in turn making the brakes that much more effective.
All modern aircraft are fitted with a braking system to assist in slowing and stopping when on the ground. Brakes are used not only to decelerate during a landing run, but also to hold the aircraft during an engine run-up, and in some cases to steer the aircraft through differential braking. Brakes are fitted to the main landing gear but not generally to the nose or tail wheel.
Brakes work by dissipating energy as heat through the action of friction. An aircraft wheel rotating at speed possesses a large amount of kinetic energy. By contacting the wheel with a semi-metallic or ceramic brake pad, an enormous amount of heat is generated as a result of the friction between the two contacting surfaces.
The large frictional forces generated during braking cause the pads to wear and so careful inspection and maintenance of the system is required to ensure the brakes continue to operate as designed.
Brakes are usually hydraulically actuated, but in some cases may be operated through a mechanical actuation system.
The brake system automatically applies the wheel brakes just enough to create a constant deceleration independent of the air resistance, spoilers and reversers. It is only in the last phase of brakes by pressing on both brake pedals.
This deactivates the automatic brake system.Immediately after landing, the aircraft is still moving fast enough that aerodynamic devices are much more efficient than the brakes.
The brake units are powered by the hydraulics system.An electrical signal is sent from the flight deck to hydraulic actuators near the main landing gear. Here, hydraulic fluid at 3.000 pounds per square inch is used to force the brake unit against the wheel, thus slowing it down.
PARTB:
(6) A. With necessary assumptions, calculate the force and power required to push / pull an aircraft by a towing vehicle.
The Force and Power required to push/pull an Aircraft by a Towing Vehicle:
Let us Assume:
For Calculations Aircraft Boeing 747-8F is considered and for towing it Tug Alpha 4 Towing Vehicle is used:
Weight of the Aircraft (747-8F) =4,47,700kg
Rolling Resistance Coefficient of an aircraft tire =0.005
Weight of the Towing Tractor (Tug Alpha 4) = 54,431kg
Rolling Resistance Coefficient of Towing Vehicle = 0.002
The Velocity of the Aircraft while Towing = 24.1 Kmph = 6.69m/s
The density of Air medium=1.225 kg/m^3
The Frontal area of the Aircraft = 20 m^2
The Frontal Area of Towing Vehicle = 5.24m^2
The Coefficient of Drag of the Aircraft = 0.10
The Coefficient of Drag of the Towing Vehicle = 0.16
Towing Tractor Gear ratio(G- for high torque output) = 11
Towing Tractor tyre radius(r) = 0.5 m
The Forces acting on Aircraft and Towing Vehicle are :
a. Rolling Resistance
b. Aerodynamic Drag Force
Rolling Resistance is given by:
Frr = Crr *m * g
where Crr = Rolling Resistance Coefficient
m = mass of the Vehicle
g = Acceleration due to gravity (9.81m/s^2)
1. Rolling Resistance of Aircraft =
Frr(Aircraft) = 0.005 * 447700 * 9.81
Frr(Aircraft) = 21.959KN
Rolling Resistance Force on Aircraft is 21.959KN
2. Rolling Resistance of Tow Vehicle =
Frr(Towing) = 0.002 * 54431 * 9.81
Frr(Towing) = 1.067KN
Rolling Resistance Force on Towing Vehicle is 1.067KN
Aerodynamic Drag Force is given by
where,
C = drag Coefficient
p = Air Density in kg/m^3
A = Frontal Area (m^2)
V = Velocity in m/s
3. Aerodynamic Drag Force on Aircraft =
Fd(Aircraft) = 0.5 * 1.225 * 0.10 * 20 * 6.69 * 6.69
Fd(Aircraft) = 0.0548KN
Aerodynamic Drag Force on Aircraft = 0.0548KN
4. Aerodynamic Drag Force on Towing =
Fd(towing) = 0.5 * 1.225 * 0.16 * 5.24 * 6.69 *6.69
Fd(towing) = 0.02298KN
Aerodynamic Drag Force on Towing Vehicle = 0.02298KN
So,
The Total Force to Push the Aircraft by Towing Vehicle =
Rolling resistance of Aircraft + Rolling resistance of Towing Vehicle+ Aerodynamic Force of Aircraft + Aerodynamic Force of Towing Vehicle
= 21.959 + 1.067 + 0.0548 + 0.02298
= 23.105KN
The Total Force Required to push Aircraft Boeing 747-8F by using Tug Alpha 4 Towing Vehicle is 23.105KN.
To calculate the power required for Towing Vehicle
Power is given by
Power = Total Force * Velocity in m/s
Power = 23.105 * 6.69
Power = 154.57KW
Therefore the Power required for the towing vehicle to push or pull the aircraft is 154.57KW.
6. B ) Develop the model for the calculated force and power using Simulink.
By using the above Simulink Model the Total force and Power required for pushing or pulling the Aircraft by using Towing Vehicle is calculated which is same as calculated Mathematically above.
7. A. Design an electric powertrain with type of motor, it’s power rating, and energy requirement to fulfill aircraft towing application in Simulink. Estimate the duty cycle range to control the aircraft speed from zero to highest. Make all required assumptions. Prepare a table of assumed parameters. Draw a block diagram of powertrain.
The Parameters considered are from above Question:
Weight of the Aircraft (747-8F) =4,47,700kg
Rolling Resistance Coefficient of an aircraft tire =0.005
Weight of the Towing Tractor (Tug Alpha 4) = 54,431kg
Rolling Resistance Coefficient of Towing Vehicle = 0.002
Towing Tractor Velocity = 24.1 Kmph = 6.69m/s
The density of Air medium=1.225 kg/m^3
The Frontal area of the Aircraft = 20 m^2
The Frontal Area of Towing Vehicle = 5.24m^2
The Coefficient of Drag of the Aircraft = 0.10
The Coefficient of Drag of the Towing Vehicle = 0.16
Towing Tractor Gear ratio(G- for high torque output) = 11
Towing Tractor tyre radius(r) = 0.5 m
To Calculate Motor Torque, Power Ratings and Energy Requirements:
Suppose the Towing Tuck is operational for 15 mins in one cycle
The Total Force and Power Required to push Aircraft Boeing 747-8F by using Tug Alpha 4 Towing Vehicle is 23.105KN and 154.57KW.
Torque Required by Towing Vehicle to Push-pull the Aircraft is given by:
Assuming Transmission Efficiency = 95%
Torque = (Total Force * Radius of Wheel)/(Gear Ratio) * Efficiency
Torque = (23105.43 * 0.5)/11 *0.95
Torque = 1105.5Nm = 1.105KNm
So Torque Required required to push/pull the aircraft is 1.105KNm.
Energy Required is given by
Energy = Total Power * Time taken by the Towing Vehicle to push/pull the Aircraft
Energy = 154.57 * 0.25 (15mins Operational Time)
Energy = 38.64KWh
Therefore Power Required by Towing Vehicle = 38.64KWh
38.64KWh of power needs to be supplied from Battery to push/pull the aircraft.
MOTOR PARAMETERS:
Motor Selected is TM4 SUMOTM MD with Motor / Inverter System.
Model No.= MD HV2200-6P with Motor /Inverter
Phase = 3 or 6 Phase with High Voltage Inverter
Application Electric bus,Truck,passenger,car
AC Voltage=200-750V
Direct Current Voltage (VDC)= 450-750VDc
Rated current = 253A
Peak Current =340A
Rated Power = 190KW
Peak Power = 255KW
Rated Speed (RPM)= 1750
Peak Speed (RPM) = 3700
Rated Torque (Nm) = 990
Peak Torque (Nm) = 2300
Class IP67
Cooling Type : Water/Glycol
Efficiency of Motor = 92%
Duty Cycle:
The Duty cycle of the electric power train is calculated by the Ratio of Output power to iIput power.
Duty Cycle = Output Power /Input Power
Output Power = 154.57 KW
Input Power =Rated Motor Power / Motor Efficiency
Input Power =190 / 0.92
Input Power=206.52KW
Duty Cycle = 154.57/206.52
Duty Cycle =0.748
Duty Cycle =75%
Therefore the Duty Cycle of Towing Tractor to push/pull Aircraft is 75%. (Duty Cycle range from 0 - 0.748 to control speed of Tug Alpha 4 from zero to highest.(24.1kmph).
BLOCK DIAGRAM OF POWERTRAIN
PARAMETER | VALUES |
Aircraft | |
Mass | 447700kg |
Frontal Area | 20m^2 |
Air density | 1.225kg/m^3 |
Drag Coefficient | 0.10 |
Rolling Resistance | 0.005 |
Towing vehicle | |
Mass | 54431kg |
Frontal Area | 5.240m^2 |
Tyre size | 0.5m |
Drag coefficient | 0.16 |
Air density | 1.225kg/m^3 |
Speed | 6.69m/s |
Gear Ratio | 11 |
Coefficient of rolling resistance | 0.002 |
MOTOR | |
Rated Current | 253A |
Peak Current | 340A |
Rated Power | 190KW |
Peak Power | 255KW |
Peak Speed | 3700RPM |
Peak Torque | 2300Nm |
Rated Torque | 990Nm |
B. Also, Design the parameters in excel sheet.
CONCLUSION:
REFERENCES:
https://news.schiphol.com/how-the-turnaround-process-works/
https://www.grc.nasa.gov/www/k-12/airplane/move.html
https://aerotoolbox.com/brake-system/
https://knaviation.net/airspeed-and-ground-speed/
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