# Aircraft Weight Estimation

### Overview

The multitude of considerations affecting structural design, the complexity of the load distribution through a redundant structure, and the large number of intricate systems required in an airplane, make weight estimation a difficult and precarious career. When the detail design drawings are complete, the weight engineer can calculate the weight of each and every part--thousands of them--and add them all up...and indeed this is eventually done. But in the advanced design phase, this cannot be done because there are no drawings of details. In the beginning, the advanced design engineer creates only a 3-view and some approximate specifications. The rest of the design remains undefined.

One may start the design process with only very simple estimates of the overall empty weight of the aircraft based purely on statistical results. Some of these correlations are not bad, such as the observation that the ratio of empty weight to gross weight of most airplanes is about 50%. Of course, this is a very rough estimate and does not apply at all to aircraft such as the Voyager or other special purpose designs.

One of the interesting aspects of this data is that it does not seem to follow the expected "square-cube" law. We might expect that the stress in similar structures increases with the linear dimensions if the imposed load is proportional to the structural weight because the latter grows as the cube of the linear dimension while the material cross-section carrying the load grows as the square. There are several reasons that the relationship is not so simple:
1. Some aircraft components are not affected very much by the square-cube law.
2. New and better materials and techniques have helped empty weight.
4. Some portions of airplanes have material size fixed by minimum "handling" thickness.

The figures below show some of this effect. They are from a classic paper by F.A. Cleveland entitled, "Size Effects in Conventional Aircraft Design" (J. of Aircraft, Nov. 1970).

" As might be expected there is a considerable diversity of scaling among components. This is particularly apparent between the airframe components where the square-cube law has a strong influence, as on the lifting surfaces, and those where it has little effect, as on the fuselage. The landing gear, powerplant, and air-conditioning system, tend to increases gross weight, but the electrical system, electronics, instruments ice-protection and furnishings are affected more by mission requirements than by aircraft size. On balance, the overall factor of about 2.1 reflects the tendency of the square/cube law to project a modestly increasing structural weight fraction with size."

The next step in weight estimation involves a component build-up, in much the same fashion as we considered aircraft drag. This is the approach described here. It involves a combination of structural analysis and statistical comparisons, with the complexity of the analysis dependent on the available information and computational resources.

If the analysis is too simple or the statistical parameters are not chosen properly, these correlations have dubious validity. In some cases such correlations can be expected to hold for a very restricted class of aircraft, or to hold with accuracy sufficient for presentation only on log-log plots. It is very important that the method be based on the fundamental physics of the design rather than on a ad-hoc correlation parameter. One must also be cautious of the self-fulfilling nature of such correlations. If one expects, based on historical precedent that a wing should weigh 20,000 lbs, one may work hard to reduce the weight if the original design weighs 25,000 lbs. When the design is finally brought down to the initial estimate the project leader may be satisfied, and the new design appears as a point on the next edition of the plot.

The following sections provide methods for estimating the component weights for advanced design purposes. Some of the sections (e.g. wing weight estimation) provide a more in-depth discussion of the derivation of the method and comparisons with several aircraft. The correlations vary from fair to very good, and provide a reasonable basis for estimating weights. They are based on a variety of sources, from published methods of aircraft manufacturers to methods developed by NASA and some developed originally here. We do not use Boeing's method or Douglas' method because these methods constitute some of the most proprietary parts of the preliminary design systems in use at these companies.

### Component Weight Methods

In the following sections, aircraft weights are divided into the following components. Each company divides the weight into different categories, so it is sometime difficult to compare various components from different manufacturers. Here we divide the system into the following categories:
Wing
Horizontal Tail
Vertical Tail
Fuselage
Landing Gear
Surface Controls
Propulsion System
APU
Hydraulics and Pneumatics
Electrical System
Electronics
Furnishings
Air Conditioning and Anti-Ice
Crew
Flight Attendants
Operating Items