Step 4 — Design the WingOne thing I want to make very clear is that the wing is the airplane and by far the most important component. Many parameters must be considered at the same time and weighed against each other. Again we will need to make many compromises to determine what are we willing to give up to gain something else. You can begin by choosing a family of airfoils that can conceivably meet the specification. Pinning down a specific foil will be dependent on which specific design goals are most important to achieve and which ones can be compromised. For example, if aerobatics are a primary goal then you would certainly choose a symmetrical airfoil. The specific airfoil within that family will depend on other factors such as airspeed and desired stall characteristics. Rule out airfoils that can not stall as desired. An airfoil that has a gentle, difficult to enter stall may be a poor choice, but an airfoil with an unpredictable or vicious stall could mean a short life for the model. The table below is intended to demonstrate how easy it is to become bogged down in a quagmire of indecision. Note that each parameter in the chart affects every flight characteristic somewhat. Characteristics that are marginally affected are ignored here. Flight Characteristic | Design Parameters | | Airfoil | Wing Loading | Aspect Ratio | Dihedral | Washout | Aileron (Area/Style) | | Airspeed | ¨ | ¨ | ¨ | | | | | Roll Rate | | | ¨ | ¨ | | ¨ | | Stall | ¨ | ¨ | ¨ | | ¨ | | | Stability | | | | ¨ | ¨ | | | Lift Capability | ¨ | ¨ | ¨ | | | | | Lift/Drag Ratio | ¨ | ¨ | ¨ | ¨ | | | | Aerobatics | ¨ | ¨ | ¨ | ¨ | ¨ | ¨ |
¨ Affects characteristic
Let's wade ourselves out of the bog by concentrating on what's most important, taking it to the extreme of efficiency and then scaling it back as necessary so that the model is practical to build and to avoid creating a related characteristic that is devastating. Wing LoadingHow to Calculate Wing loading is a goal you should design and build to — not a surprising discovery at the end of construction. The wing loading is a compromise of several flight characteristics — low speed flight, predictable landing approach, rate of climb (lift from the wing, not pull from the engine), control response, and how easily the plane is upset in flight. The lower the wing loading, the slower the model can fly. The higher the wing loading, the more predictable the airplane is on landing approach. Light airplanes are strongly affected by pockets of rising and sinking air which makes it very difficult to spot land the airplane. By the same token a heavier model is less affected by wind but is also slower to respond to control inputs and must fly faster to stay in the air. Designing to a light wing loading may restrict the plane to lower top end speeds to prevent wing failure during high-G maneuvers. For example, the wing may fold if you build a large, light wing and then yank the plane out of a dive. This is not because the aircraft is light but because it may be more frail due to the lightweight structure. But the lower inertia of a light airframe also imposes less load on the wing. It is very possible to build a wing that is both light and strong. Wing AreaHow to Calculate Wing Area is not included in the chart because it is virtually meaningless. All the wing area does is allow us to calculate the wing loading. It is better to determine the wing area based on the target wing loading which is based on target weight. For this example we're building a model to weigh 7 lbs with a wing loading of 20 oz./ft2. Plug those numbers into the wing loading equation to find the wing area: Given: Wing Loading = 20 oz./ft2 Target Weight = 7 lbs
Find the Wing Area: Wing Loading = (Weight x 2304) ÷ Wing Area (Note that Weight is in pounds)
Rearrange the equation to find the wing area: Wing Area = (Weight x 2304) ÷ Wing Loading
Plug in given parameters: Wing Area = (7 x 2304) ÷ 20 Wing Area = 806.4 in2
Now we know what to do — build a 7 lb airplane having about 800 square inches of wing. When building a kit you have to hope and pray that the design and included materials make it possible. Often a kit comes in at a weight higher than the manufacturer specified. While I don't know this for a fact, I suspect the published recommended weight is based on a prototype built by the designer with hand-selected wood which isn't what comes in the kit. You should easily be able to stay at or under the target weight of your design because it's your engineering and you select the materials. Aspect RatioHow to Calculate 
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A banked turn describes a cone. The lower wing tip (the pointy end of the cone) is moving through the air at a slower rate than the opposite tip (the open end of the cone). When the lower tip stalls, the other end of the wing is still lifting. The stalled tip falls from lack of lift but lift from the wing that's still flying flips the plane over. The aircraft may enter a spin from which it may not be able to recover. This slick maneuver is an especially entertaining way for someone else's plane to crash. |
In the chart above you can see that aspect ratio strongly affects nearly every flight characteristic. It is one of the most important decisions you will make so consider it well. The aspect ratio of the wing affects several areas of flight such as roll rate, lift-to-drag ratio and pitch sensitivity. Not the least important flight characteristic strongly affected by the aspect ratio is the wing's propensity to tip stall — particularly in banked turns. Wermacht explains in the sidebar. Most of us aren't terribly concerned with fuel efficiency, but for some specialized tasks this is a high priority concern. The most aerodynamically efficient wing in terms of lift to drag ratio will be one of extremely high aspect ratio. For example, short, stubby wings are not even considered an option for these types: Sailplanes Go a long way using very little fuel. Airlines Money spent on fuel is less money in the bank. Voyager by Burt Rutan. It's sole purpose was to fly non-stop around the world without refueling and then retire.
A high aspect ratio wing has a better lift to drag ratio and is generally more efficient than a low aspect ratio wing. If the aspect ratio is too high the plane will have a sluggish rate of roll and is easier to break. As the aspect ratio of a wing becomes lower the aircraft becomes more maneuverable in roll and less efficient in lift. That's why you never see fighter aircraft having high aspect ratio wings and you don't see bombers with low aspect ratio wings with some special exceptions. If the aspect ratio is too low the plane may be twitchy about the roll axis and slow down excessively in turns. Low aspect ratio wings have tremendous drag as angle of attack increases. Low aspect ratio wings are inefficient and not good for load lifting. Sounds like we need to compromise again. Wing TaperElliptical wings are very efficient but difficult to build — particularly elliptical wings having elliptical thickness. Wood doesn't like compound curves. Some designs get around this by adjusting the airfoil (rib height) to create a straight taper in thickness from root to tip which never looks right. The way to build a wing easily while approaching the efficiency of an elliptical wing is to build a tapered wing. The Taper Ratio of a wing is simply the Tip chord divided by the Root chord. High aspect ratio wings with low taper ratios (tip chord much less than root chord) are extremely prone to tip stalls so it is best to avoid using both on the same wing. If you want a highly tapered wing then keep the aspect ratio down. If you want a high aspect ratio wing then keep the taper ratio closer to 1 (same root and tip chord). Knowing the taper ratio, aspect ratio and wing area allows you to calculate the root and tip chords assuming the wing does not have multiple tapers. Wing SweepI am told that sweeping a wing rearward is equivalent to adding dihedral (each 2-1/2° of sweep is equivalent to approximately 1° of dihedral). Presumably it works even when the aircraft is inverted. Sweep also makes an aircraft more stable because it causes the aircraft to pitch down in a stall. Sweep somewhat broadens the CG range of an aircraft as well as moving the CG rearward. Lastly, sweep makes the aircraft appear sleeker. I have never built a forward swept wing and don't expect I will ever design a model that uses one. You'll have to find another source of information if you want to build a forward swept wing. DihedralDihedral has two distinct aerodynamic purposes that immediately come to mind: - Increased stability
- Allows an aircraft to be steered with the rudder alone (no ailerons)
As a corollary to the second bullet, dihedral can also add undesired control coupling. Control coupling occurs when one control causes the aircraft rotate about a different axis than intended such as pitching or rolling when rudder is applied. Aerobatic ships in particular should have as little coupling as possible. Often the dihedral needs to be adjusted to remove roll coupling caused by the rudder. Unfortunately there is no way to know in advance how much dihedral will be necessary so we make our best guess based on previous experience. As Don Lowe will tell you, if you want your ship to be tuned for competition you need to be willing to cut the wing apart to adjust the dihedral. I have no interest in competition or precision aerobatics and I don't cut my wings apart, but you might need to. I've found that approximately 5° of dihedral works very well for a rudder-only model. Too little dihedral will make turns sluggish. Too much dihedral will make the wing inefficient. WashoutWashout is a deliberate warp built into the wing so that the wing tips fly at a lower angle of attack than the wing root. The purpose is to delay or prevent tip stalls. I have never found washout to be necessary for sport models — especially constant chord wings which by their nature are very resistant to tip stalls. Washout on an aerobatic ship is a bad move because these types of models should fly as neutrally as possible. An aircraft having washout will have wash-in when the model is flying inverted. Cases where washout will be beneficial are aircraft such as those with high aspect ratio wings (sailplanes, airliners), heavy scale models, utility aircraft (camera platforms) and other models not intended to perform precision aerobatics. Aileron Style and AreaStrip ailerons are easier to build and in my experience have a better roll rate than barn door ailerons. Tapered strip ailerons tend to work best with the least possibility of flutter. Aileron area is usually 10% - 20% for strip ailerons and up to 25% for barn doors. Again, it depends on what you want the plane to do. Don't do anything too radical for your first designs. Once you have some time on the prototype you can adjust things on the second prototype. Fill in the blanks| Wing Loading | oz./ft2 | | Wing Area | in2 | | Aspect Ratio | :1 | | Taper Ratio | | | Root Chord | | | Tip Chord | | | Wing Sweep | | | Dihedral | ° | Stall performance (description) | | | Washout | | | Airfoil (root) | | | Airfoil (tip) | |
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