Aircraft Weight and Balance

Weight and Balance for Large Airplanes

Weight and balance for large airplanes is almost identical to what it is for small airplanes, on a much larger scale. If a technician can
weigh a small airplane and calculate its empty weight and empty weight center of gravity, that same technician should be able to do it for a large airplane. The jacks and scales will be larger, and it may take more personnel to handle the equipment, but the concepts and processes are the same.

Built-In Electronic Weighing

One difference that may be found with large airplanes is the incorporation of electronic load cells in the aircraft’s landing gear. With this type of system, the airplane is capable of weighing itself as it sits on the tarmac. The load cells are built into the axles of the landing gear, or the landing gear strut, and they work in the same manner as load cells used with jacks. This system is currently in use on the Boeing 747-400, Boeing 777, Boeing 787, McDonnell Douglas MD-11, and the wide body Airbus airplanes like the A-330, A-340, and A-380.

The Boeing 777, utilizes two independent systems that provide information to the airplane’s flight management computer. If the two systems agree on the weight and center of gravity of the airplane, the data being provided are considered accurate and the airplane can be dispatched based on that information. The flight crew has access to the information on the flight deck by accessing the flight management computer and bringing up the weight and balance page.

Mean Aerodynamic Chord

On small airplanes and on all helicopters, the center of gravity location is identified as being a specific number of inches from the datum. The center of gravity range is identified the same way. On larger airplanes, from private business jets to large jumbo jets, the center of gravity and its range are typically identified in relation to the width of the wing.

The width of the wing on an airplane is known as the chord. If the leading edge and trailing edge of a wing are parallel to each other, the chord of the wing is the same along the wing’s length. Business jets and commercial transport airplanes have wings that are tapered and that are swept back, so the width of their wings is different along their entire length. The width is greatest where the wing meets the fuselage and progressively decreases toward the tip. In relation to the aerodynamics of the wing, the average length of the chord on these tapered swept-back wings is known as the mean aerodynamic chord (MAC).

On these larger airplanes, the CG is identified as being at a location that is a specific percent of the mean aerodynamic chord (% MAC). For example, imagine that the MAC on a particular airplane is 100", and the CG falls 20" behind the leading edge of the MAC. That means it falls one-fifth of the way back, or at 20% of the MAC.

Figure 6 shows a large twin-engine commercial transport airplane. The datum is forward of the nose of the airplane, and all the arms shown in the figure are being measured from that point. The center of gravity for the airplane is shown as an arm measured in inches. In the lower left corner of the figure, a cross section of the wing is shown, with the same center of gravity information being presented.

Figure 6. Center of gravity location on a large commercial transport

To convert the center of gravity location from inches to a percent of MAC, for the airplane shown in Figure 6, the steps are as follows:

1. Identify the center of gravity location, in inches from the datum.
2. Identify the leading edge of the MAC (LEMAC), in inches from the datum.
3. Subtract LEMAC from the CG location.
4. Divide the difference by the length of the MAC.
5. Convert the result in decimals to a percentage by multiplying by 100.

As a formula, the solution to solve for the percent of MAC would be:

Percent of MAC = CG − LEM AC × 100
                                       MAC

The result using the numbers shown in Figure 6 would be:

Percent of MAC  = CG − LEM AC × 100
                                       MAC
                           = 945 − 900 × 100
                                   180
                            = 25%

If the center of gravity is known in percent of MAC, and there is a need to know the CG location in inches from the datum, the conversion would be done as follows:

1. Convert the percent of MAC to a decimal by dividing by 100.
2. Multiply the decimal by the length of the MAC.
3. Add this number to LEMAC.

As a formula, the solution to convert a percent of MAC to an inch value would be:

CG in inches = MAC % ÷ 100 × MAC + LEM AC

For the airplane in Figure 6, if the CG was at 32.5% of the MAC, the solution would be:

CG in inches  = MAC % ÷ 100 × MAC + LEMAC
                      = 32.5 ÷ 100 × 180 + 900
                      = 958.5

Helicopter Weight and Balance

General Concepts

All of the terminology and concepts that apply to airplane weight and balance also apply generally to helicopter weight and balance. There are some specific differences, however, which need to be identified.

Most helicopters have a much more restricted CG range than do airplanes. In some cases, this range is less than 3". The exact location and length of the CG range is specified for each helicopter, and usually extends a short distance fore and aft of the main rotor mast or centered between the main rotors of a dual rotor system. Whereas airplanes have a center of gravity range only along the longitudinal axis, helicopters have both longitudinal and lateral center of gravity ranges. Because the wings extend outward from the center of gravity, airplanes tend to have a great deal of lateral stability. A helicopter, on the other hand, acts like a pendulum, with the weight of the helicopter hanging from the main rotor shaft.

Ideally, the helicopter should have such perfect balance that the fuselage remains horizontal while in a hover. If the helicopter is too nose heavy or tail heavy while it is hovering, the cyclic pitch control will be used to keep the fuselage horizontal. If the CG location is too extreme, it may not be possible to keep the fuselage horizontal or maintain control of the helicopter.

Helicopter Weighing

When a helicopter is being weighed, the location of both longitudinal and lateral weighing points must be known to determine its empty weight and empty weight CG. This is because helicopters have longitudinal and lateral CG limits. As with the airplane, the longitudinal arms are measured from the datum, with locations behind the datum being positive arms and locations in front of the datum being negative arms. Laterally, the arms are measured from the butt line, which is a line from the nose to the tail running through the middle of the helicopter. When facing forward, arms to the right of the butt line are positive; to the left they are negative.

Before a helicopter is weighed, it must be leveled longitudinally and laterally. This can be done with a spirit level, but more often than not it is done with a plumb bob. For example, the Bell JetRanger has a location inside the aft cabin where a plumb can be attached, and allowed to hang down to the cabin floor. On the cabin floor is a plate bearing cross hairs, with the cross hairs corresponding to the horizontal and lateral axis of the helicopter. When the point of the plumb bob falls in the middle of the cross hairs, the helicopter is level along both axes. If the tip of the plumb bob falls forward of this point, the nose of the helicopter is too low; if it falls to the left of this point, the left side of the helicopter is too low. In other words, the tip of the plumb bob will always move toward the low point.

A Bell JetRanger helicopter is shown in Figure 1, with the leveling plate depicted on the bottom right of the figure. The helicopter has three jack pads, two at the front and one in the back. To weigh this helicopter, three jacks would be placed on floor scales, and the helicopter would be raised off the hangar floor. To level the helicopter, the jacks would be adjusted until the plumb bob point falls exactly in the middle of the cross hairs.

Figure 1. Bell JetRanger

As an example of weighing a helicopter, consider the Bell JetRanger in Figure 1, and the following specifications and weighing data.

·      Datum:	55.16" forward of the front jack point centerline
·      Leveling Means:	Plumb line from ceiling left rear cabin to index plate on floor
·      Longitudinal CG Limits:	+106" to +111.4" at 3,200 lb +106" to +112.1" at 3,000 lb +106" to +112.4" at 2,900 lb +106" to +113.4" at 2,600 lb +106" to +114.2" at 2,350 lb +106" to +114.2" at 2,100 lb Straight line variation between points given
·      Lateral CG Limits:	2.3" left to 3.0" right at longitudinal CG +106.0" 3.0" left to 4.0" right at longitudinal CG +108" to +114.2" Straight line variation between points given
·      Fuel and Oil:	Empty weight includes unusable fuel and unusable oil
·      Left Front Scale Reading:	650 lb
·      Left Front Jack Point:	Longitudinal arm of +55.16" Lateral arm of –25"
·      Right Front Scale Reading:	625 lb
·      Right Front Jack Point:	Longitudinal arm of +55.16" Lateral arm of +25"
·      Aft Scale Reading:	710 lb
·      Aft Jack Point:	Longitudinal arm of +204.92" Lateral arm of 0.0"
·      Notes:	The helicopter was weighed with unusable fuel and oil. Electronic scales were used, which were zeroed with the jacks in place, so no tare weight needs to be accounted for.

Using six column charts for the calculations, the empty weight and the longitudinal and lateral center of gravity for the helicopter would be as shown in Figure 2.

Based on the calculations in Figure 2, it has been determined that the empty weight of the helicopter is 1,985 lb, the longitudinal CG is at +108.73", and the lateral CG is at –0.31".

Longitudinal CG Calculation
Item	Scale (lb)	Tare Wt. (lb)	Nt. Wt. (lb)	Arm (inches)	Moment (in-lb)
Left Front	650	0	650	+55.16	35,854.0
Right Front	625	0	625	+55.16	34,475.0
Aft	710	0	710	+204.92	145,493.2
Total	1,985		1,985	+108.73	215,822.2
Lateral CG Calculation
Item	Scale (lb)	Tare Wt. (lb)	Nt. Wt. (lb)	Arm (inches)	Moment (in-lb)
Left Front	650	0	650	-25	-16,250
Right Front	625	0	625	+25	+15,625
Aft	710	0	710	0	0
Total	1,985		1,985	+.31	-625
Figure 2. Center of gravity calculation for Bell JetRanger

Weight and Balance-Weight-Shift Control Aircraft and Powered Parachutes

The terminology, theory, and concepts of weight and balance that applies to airplanes also applies to weightshift aircraft and powered parachutes. Weight is still weight, and the balance point is still the balance point.

Weight-shift control aircraft and powered parachutes do not fall under the same Code of Federal Regulations that govern certified airplanes and helicopters and, therefore, do not have Type Certificate Data Sheets or the same type of FAA mandated weight and balance reports. Weight and balance information and guidelines are left to the individual owners and the companies with which they work in acquiring this type of aircraft. Overall, the industry that is supplying these aircraft is regulating itself well, and the safety record is good for those aircraft being operated by experienced pilots.

The FAA has recently (2005) accepted a new classification of aircraft, known as Light Sport Aircraft (LSA). A new set of standards is being developed which will have an impact on the weight-shift control and powered parachute aircraft and how their weight and balance is handled.

Weight-Shift Control Aircraft

Weight-shift control aircraft, commonly known by the name “trikes,” have very few options for loading because they have very few places to put useful load items. Some trikes have only one seat and a fuel tank, so the only variables for a flight are amount of fuel and weight of the pilot. Some trikes have two seats and a small storage bin, in addition to the fuel tank.

The most significant factor affecting the weight and balance of a trike is the weight of the pilot; if the aircraft has two seats, the weight of the passenger must be considered. The trike acts somewhat like a single main rotor helicopter because the weight of the aircraft is hanging like a pendulum under the wing. Figure 3 shows a two-place trike, in which the mast and the nose strut come together slightly below the wing attach point. When the trike is in flight, the weight of the aircraft is hanging from the wing attach point. The weight of the engine and fuel is behind this point, the passenger is almost directly below this point, and the pilot is forward of this point. The balance of the aircraft is determined by how all these weights compare.

Figure 3. Weight and balance for a weight-shift aircraft

The wing attach point, with respect to the wing keel, is an adjustable location. The attach point can be loosened and moved slightly forward or slightly aft, depending on the weight of the occupants. For example, if the aircraft is flown by a heavy person, the attach point can be moved a little farther aft, bringing the wing forward, to compensate for the change in center of gravity.

Figure 4 shows a close-up of the wing attach point, and the small amount of forward and aft movement that is available.

Figure 4. Wing attach point for a weight-shift aircraft

Powered Parachutes

Powered parachutes have many of the same characteristics as weight-shift control aircraft when it comes to weight and balance. They have the same limited loading, with only one or two seats and a fuel tank. They also act like a pendulum, with the weight of the aircraft hanging beneath the inflated wing (parachute).

The point at which the inflated wing attaches to the structure of the aircraft is adjustable to compensate for pilots and passengers of varying weights. With a very heavy pilot, the wing attach point would be moved forward to prevent the aircraft from being too nose heavy. Figure 5 illustrates the structure of a powered parachute with the adjustable wing attach points.

Figure 5. Powered parachute structure with wing attach points

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