InfoDotInc / archive systemEstablished online record · rebuilding deliberately
InfoDotInc

Technical documents, historic paths, and source-backed reference material.

Archive / FAA Aircraft Weight and Balance Handbook / Aircraft Weight and Balance Handbook: Chapter 2 — Weight and Balance Theory

Chapter 2 — Weight and Balance Theory, Part 2

Chapter 2 — Weight and Balance Theory — Part 2

FAA-H-8083-1B (2025)

Figure 2-14. Center of gravity expressed as percent mean

aerodynamic chord.

MAC MAC

30% MAC

15% MAC Datum

Quarter chord

Half

semi-span

Solution by Formula

The problem in Figure 2-11 can be solved by using variations

of this basic equation. First, rearrange the formula to

determine the distance weight B must be shifted:

Distance weight B is shifted = Total weight × Δ CG

Weight shifted

= 500 × –22

200

= –55 inches

The CG of the lever in Figure 2-11 was 72 inches from the

datum. This CG can be shifted to the center of the lever as in

Figure 2-13 by moving weight B. If the 200-pound weight B

is moved 55 inches to the left, the CG shifts from +72 inches

to +50 inches, a distance of 22 inches.

When the distance the weight is to be shifted is known,

the amount of weight to be shifted to move the CG to any

location can be determined by another arrangement of the

basic equation. Use the following arrangement of the formula

to determine the amount of weight that has to be shifted from

station 8 to station +25, to move the CG from station +72

to station +50.

Weight shifted = Total weight × Δ CG

Distance weight is shifted

= 500 × 22

55

= 200 inches

If the 200-pound weight B is shifted from station +80 to

station +25, the CG moves from station +72 to station +50.

A third arrangement of this basic equation is used to

determine the amount the CG is shifted when a given amount

of weight is moved for a specified distance (as it was done

in Figure 2-11). The following formula is used to determine

the amount the CG is shifted when 200-pound weight B is

moved from +80 to +25.

Δ CG = Weight shifted × Distance it is shifted

Total weight

= 200 × 55

500

= 22 inches

Moving weight B from +80 to +25 moves the CG 22 inches

from its original location at +72 to its new location at +50

as seen in Figure 2-13.

To complete the calculations, return to the original formula

and enter the appropriate numbers.

Weight to be shifted = Δ CG

Total weight Distance weight is shifted

200 = 22

500 55

.4 = .4

The equation is balanced.

Mean Aerodynamic Chord

The CG point affects the stability of the aircraft. To ensure

the aircraft is safe to fly, the CG must fall within specified

limits established by the manufacturer.

On some aircraft, the CG is expressed as a percentage of the

length of the mean aerodynamic chord (MAC) or “percent

MAC.” [Figure 2-14] In order to make such a calculation,

the position of the leading edge of the MAC must be known

ahead of time.

CG limits are specified forward and aft and/or lateral (left and

right) limits within which the aircraft’s CG must be located

during flight. The area between the limits is called the CG

range of the aircraft.

The position of the fore and aft CG limits is measured as a

percentage of MAC from the MAC leading edge. Usually for

a single or two-seat aircraft, the most forward position would

be forward of 30–35 percent MAC. Thus, the allowable CG

range in a light aircraft should not exceed 20 percent MAC.

Note: For a rectangular width of constant airfoil section

dimensions, MAC is just the chord. For a symmetrically-

tapered wing, it is the average of the root chord and the tip

chord.

FAA-Furnished Weight and Balance

Information

The information discussed to this point can be readily applied

to any aircraft weight and balance problem. To apply the

techniques, certain elements of information are required.

This information is obtained from both FAA documents and

manufacturer provided data.

Before an aircraft CG can be computed, certain information

must be known. This information, furnished by the FAA

for every certificated aircraft in the Type Certificate Data

Sheets (TCDS) or Aircraft Specifications, can be accessed

at www.faa.gov. When the design of an aircraft is approved

by the FAA, an Approved Type Certificate and TCDS are

issued. The TCDS includes all of the pertinent specification

for the aircraft; at each annual or 100-hour inspection, it is

the responsibility of the inspecting mechanic or repairman

to ensure that the aircraft adheres to them. A note about the

TCDS: aircraft certifi ated before January 1, 1958, were

issued Aircraft Specifica ions under the Civil Air Regulations

(CARs), but when the Civil Aeronautical Administration

(CAA) was replaced by the FAA, Aircraft Specification

were replaced by the TCDS.

The weight and balance information on a TCDS includes CG

range, empty weight CG range (EWCG), maximum weights,

number of seats, maximum baggage, fuel capacity, oil

capacity, and datum location. Data pertinent to an individual

model is located in its respective section of the TCDS. Use

the TCDS excerpts in Figure 2-15 to verify the following for

a Cirrus Design Corporation SR 20 normal category:

CG Range

S/N 1005 through 1147:

Forward Limits: 138.7 inches at 2,110 lb with a straight line

taper to 141.0 in at 2,694 lb and 143.0 in at 2,900 lb

Aft Limits: 144.6 in at 2,110 lb, with straight line taper to

147.4 in at 2,570 lb, and to 147.9 in at 2,745 lb, and 148.2

in at 2,900 lb

S/N 1148 through 1877, 1879 through 1885, and S/N 1005

through 1147 if Cirrus Service Bulletin SB 20-01-00 is

complied with:

Forward Limits: 138.7 in at 2,110 lb with a straight line taper

to 141.0 in at 2,694 lb and 144.1 in at 3,000 lb

Aft Limits: 144.6 in at 2,110 lb, with straight line taper to

147.4 in at 2,570 lb, and to 148.1 in at 2,900 lb, and 148.0

in at 3,000 lb

S/N 1878, 1886 and Subsequent:

Forward Limits: 137.8 in at 2,100 lb with a straight line taper

to 139.1 in at 2,700 lb, and to 140.7 in at 3,050 lb

Aft Limits: 148.1 in at 2,100 lb, with straight line to 148.1

in at 3,050 lb

Empty Weight CG Range (EWCG)

When all of the seats and baggage compartments are located

close together, it is not possible (as long as the EWCG is

located within the EWCG range) to legally load the aircraft

so that its operational CG falls outside this allowable range.

If the seats and baggage areas extend over a wide range, the

EWCG range is listed as “None.”

Maximum Weights

The maximum allowable takeoff and landing weights and

the maximum allowable ramp weight are given. This basic

information may be altered by a note. Notes are found in data

pertinent to all models. An example would be Note 6 at the

end of Figure 2-15.

Number of Seats

The number of seats and their arms are given in such terms

as: 4 (2 at 143.5 aft of datum, 2 at 180 aft of datum).

Maximum Baggage

Maximum baggage for this model is 130 pounds at 208

inches.

Fuel Capacity

This important information is given in such terms as: 60.5

gal at 153.75 in. Usable: 56 gal (See Note 1). Notes can be

found in data pertinent to all models.

Oil Capacity (Wet Sump)

The quantity of the full oil supply and its arm are given: 8

quarts at 76.2 in.

Figure 2-15. Sample excerpt from TCDS A00009CH.

Page No. 1 2 3 4 5 6 7

Rev. No. 11 12 12 14 14 16 16

DEPARTMENT OF TRANSPORTATION

FEDERAL AVIATION ADMINISTRATION

A00009CH

Revision 16

Cirrus Design Corporation

SR20

SR22

April 22, 2009

TYPE CERTIFICATE DATA SHEET NO. A00009CH

This data sheet, which is part of Type Certificate No. A00009CH, prescribes conditions and limitations under which the product

for the which type certificate was issued meets the airworthiness requirements of the Federal Aviation Regulations.

Type Certificate Holder: Cirrus Design Corporation

4515 Taylor Circle

Duluth, MN 55811

I - Model SR20, (Normal Category), Approved October 23, 1998

Engine Teledyne Continental IO-360-ES, Type Certificate Data Sheet (TCDS) E1CE

Fuel 100/100LL minimum grade aviation gasoline

Engine Limits Maximum Take-off 2700 RPM (200 hp)

Maximum Continuous Power 2700 RPM (200 hp)

Propeller and

Propeller limits 1. Hartzell Prope ller Inc. P/N BHC-J2YF-1BF/F7694

TCDS P37EA

Maximum Diameter: 76 inches

Minimum Diameter: 73 inches

Number of Blades: 2

Low Pitch: 14.6°+/-0.5°

High Pitch: 35.0°+/-1.0°

Not to be operated above 24 inches of manifold pressure between 1900 and 2200 RPM.

Spinner: Hartzell P/N A-2295(P) NOTE: Spinner may be painted or polished.

2. Hartzell Propeller Inc. P/N PHC-J3YF-1MF/F7392-1

TCDS P36EA

Maximum Diameter: 74 inches

Minimum Diameter: 72 inches

Number of Blades: 3

Low Pitch: 14.1°+/-0.5°

High Pitch: 35.0°+/-1.0°

No operating limitations to 2800 RPM

Spinner: Hartzell P/N A-2295-1P

3. Hartzell Propeller Inc. P/N PHC-J3YF-1RF/F7392-1

TCDS P36EA

Maximum Diameter: 74 inches

Minimum Diameter: 72 inches

Number of Blades: 3

Low Pitch: 13.9°+/-0.5°

High Pitch: 35.0°+/-1.0°

No operating limitations to 2800 RPM

Spinner: Hartzell P/N A-2295-1(P) NOTE: Spinner may be painted or polished.

Figure 2-15. Sample excerpt from TCDS A00009CH (continued).

A00009CH -2-

Airspeed Limits S/N 1005 thru 1147:

Vne Never Exceed Speed 200 KIAS

Vno Maximum Structural Cruising Speed 165 KIAS

Vo (2900 lbs) Operating Maneuvering Speed 135 KIAS

Vo (2600 lbs) Operating Maneuvering Speed 126 KIAS

Vo (2200 lbs) Operating Maneuvering Speed 116 KIAS

Vfe Maximum Flap Extension Speed 100 KIAS

Vpd Maximum Parachute Deployment Speed 135 KIAS

S/N 1148 thru 1877, 1879 thru 1885, and S/N 1005 thru 1147 if Cirrus Service Bulletin SB 20-01-

00 is complied with:

Vne Never Exceed Speed 200 KIAS

Vno Maximum Structural Cruising Speed 165 KIAS

Vo (3000 lbs) Operating Maneuvering Speed 131 KIAS

Vo (2600 lbs) Operating Maneuvering Speed 122 KIAS

Vo (2300 lbs) Operating Maneuvering Speed 114 KIAS

Vfe Maximum Flap Extension Speed 100 KIAS

Vpd Maximum Parachute Deployment Speed 135 KIAS

S/N 1878, 1886 and subsequent:

Vne Never Exceed Speed 200 KIAS

Vno Maximum Structural Cruising Speed 163 KIAS

Vo (3050 lbs) Operating Maneuvering Speed 130 KIAS

Vfe Maximum Flap Extension Speed 104 KIAS

Vpd Maximum Parachute Deployment Speed 133 KIAS

C.G. Range S/N 1005 thru 1147:

Forward Limits: 138.7 inches at 2110 lbs with a straight line taper to 141.0 inches at 2694 lbs, and

143.0 inches at 2900 lbs.

Aft Limits: 144.6 inches at 2110 lbs, with straight line taper to 147.4 inches at 2570 lbs, and to

147.9 inches at 2745 lbs, and 148.2 inches at 2900 lbs.

S/N 1148 thru 1877, 1879 thru 1885, and S/N 1005 thru 1147 if Cirrus Service Bulletin SB 20-01-

00 is complied with:

Forward Limits: 138.7 inches at 2110 lbs with a straight line taper to 141.0 inches at 2694 lbs, and

144.1 inches at 3000 lbs.

Aft Limits: 144.6 inches at 2110 lbs, with straight line taper to 147.4 inches at 2570 lbs, and to

148.1 inches at 2900 lbs, and 148.0 inches at 3000 lbs.

S/N 1878, 1886 and subsequent:

Forward Limits: 137.8 inches at 2100 lbs with a straight line taper to 139.1 inches at 2700 lbs, and

to 140.7 inches at 3050 lbs

Aft Limits: 148.1 inches at 2100 lbs, with straight line to 148.1 inches at 3050 lbs.

Empty Weight

C.G. Range None

Maximum Weight S/N 1005 thru 1147:

Takeoff and Landing: 2900 lbs.

S/N 1148 thru 1877, 1879 thru 1885, and S/N 1005 thru 1147 if Cirrus Service Bulletin SB 20-01-

00 is complied with:

Takeoff: 3000 lbs.

Landing: 2900 lbs.

Zero Fuel: 2900 lbs.

S/N 1878, 1886 and subsequent:

Takeoff and Landing: 3050 lbs.

Original source PDFPublished from pages 25–28 of the recorded source chapter.
Open source PDF ↗