First let me say that I do not hold myself out as the ultimate authority. I do reserve the right to be smarter today, than yesterday. That way I get to change my mind. These notes are simply my understanding of how airplanes fly. There will be very little math and what math I will offer will be pretty basic. I have scratch built a lot of airplanes. Some flew, while one made a snappy looking race car (didn't get off the ground).
Index Thoughts In General Incidence What You Need Thrust Line Design Parameters Balance The Wing Pushers The Airfoil Canards Wash Out
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Ok ........ I'm done blowing my horn ............. so here we go.
General
If you haven't tried to design a model you are missing out on one of the greatest thrills in modeling. In addition you get to show off a brand new idea to everyone. Yes it takes time but once you do it, it gets easier. I hope to explain some terms in the process, just in case you are brand new to the hobby.
Design Parameters
So one of the first things you need to estimate is the wing loading, and how to figure it out. If for example your wing is going to be 80 inches long (SPAN) with a width (CHORD) of 13 inches, then your wing area will be 13x80= 1,040 square inches of wing area. Now that we have figured that out I will throw in another term called aspect ratio. Aspect Ratio is the width of the wing (chord) divided into the length (span). Generally a sailplane has a greater aspect ratio, maybe even 20 to one. The wing we just figured out has an aspect ratio of 80 divided by 13 which equals about 6 to one. Six to one is a good number for a basic airplane.
But back to calculating wing loading. First you take the area of the wing and divide it by 144 to get the actual square footage of the wing. In our case 1040/144= 7.22 sq. ft.. Next, if we have properly estimated the weight of our model..... for this example let's say it should weight about 14 lbs..... so we now need to convert pounds into ounces. Sixteen ounces to the pound x 14 pounds = 224 ounces. So to calculate wing loading you divide the weight in ounces by the square footage. i.e.- 224 divided by 7.22 = 31 ounce wing loading per square foot. At this point you pretty well know how the airplane is going to fly. It will fly a little faster than you might like and the landing speed too will be higher than you might like. For models of 80 inch span you generally want wing loading around 22-26 ounces per sq. foot. Keep in mind that the larger the model becomes, the higher wing loading you can handle without adverse effects and vica versa. A very small rubber powered model may come in around 3-6 ounce wing loading. Yes there are a lot of other factors that will affect how your model fly's but then we get into complications we don't want to cover here.
Next we will define other parameters such as determining the area of the horizontal stabilizer, the area of the vertical fin and rudder, the length of the fuselage, the nose and tail moments, & the area necessary for ailerons if you are going to use them.
The Horizontal Stab should equal about 12-15% of the wing area with about a 3 to 1 aspect ratio. The Vertical Fin & Rudder should equal about 33% of the Horizontal Stab/Rudder with the Rudder itself consuming about 1/3 rd of that area. The Length of the Fuselage should be about 75% of the length of the wing. The Nose Moment (oh gawd another term) around 25-30% forward of the wing balance point. The Tail Moment in the area of 65-70% of the fuse length (and aft of the balance point) Fuselage height around 10-15% of the fuselage length. (below I will define Nose and Tail Moment) Aileron Area should be about 10% of the total wing area with the length of each about 8 times its width. Landing gear placement should have the axle even with the leading edge of the wing on a tail dragger. On a tricycle gear you need the main gear slightly aft of the balance point. If you run a vertical line from the wheel touch point and then a line from there through the C.G. and note the angular difference, it should be between 15 and 25 degrees on a tail dragger. Separation between wings if you decide to build a biplane. Vertically they must be separated by at least the Chord (width) of the largest wing. Nose Moment - the distance from the balance point of the wing (approximate aerodynamic center of lift) forward to the prop. Most wings should be balanced initially 25% of the average chord back from the leading edge of the wing. Tail Moment - the distance aft to the tail from the 25% average chord of the wing.
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The Wing
Here again in generalities ... most models need to be balanced 25% or more back from the leading edge of the wing. If the wing is 13 inches wide, it needs to balance 3 1/4 inches back from the leading edge no matter what or how much is attached to the wing (--fuselage, tail feathers, landing gear, etc.). If you start your initial test flight with anything other than 25% aft, you are probably going to be surprised. You don't need these kind of surprises. To make your model less sensitive to flight control movements, you can balance at 2 1/2 inches for example. To make your model more sensitive to flight control movements, then move it back to 33% aft of the leading edge. The farther aft you move the balance point the touchier things get. I offer this very simple explanation at this point because it is something you really need to understand when you get into designing Canard's and/or tractor designs (engine up front) with lifting horizontal stabilizers. If you have ever flown a Carl Goldberg Sailplane (it was designed around the early 40's as a free flight) you quickly realized it thermaled & flew better with the balance point about 25% aft of the TRAILING edge. If you want to see what this old timer looks like then click here . I suspect the same could be true with the Hobby Lobby Telemaster ..... I mean the Telemaster probably will fly with a balance point way farther aft than 33% because it has a lifting horizontal stabilizer. Lifting ... meaning it too has an airfoil just like the wing rather than a flat plate stab.
Here is a simple way to figure out where to balance a tapered wing, assuming it is a straight taper. We will use an example of a 14 inch root chord and a 7 inch tip chord. Add the two together and divide by 2. 14+7 = 21/2 = 10 1/2. If half of your wing is 40 inches long, then measure out 20 inches and the chord at that point should be 10 1/2 inches. You need to balance 25% back from the leading edge of the AVERAGE chord of the wing. So 10 1/2 divided by 4 is 2 5/8 inches back. From that point, make a 90 degree line directly to the root of the wing and that is the balance point, even if the wing sweeps back.
Note: Sweep back normally helps stability whereas sweep forward is somewhat de-stabilizing. It is felt that the sweep back adds to the Dihedral of the wing. Oh lord ... another term. If you look at an airplane directly from the front or back you may see that the tips of the wing are physically higher than they are at the fuselage. This is dihedral. It adds to stability. Model sailplanes have about 6 degrees of this stuff, while low wing models may have up to 12 degrees. I usually just eye-ball it. What the heck. Slam the damn thing together and go fly it. Right?
Another thing you want to design into your craft are the stall characteristics. You want the inner portion of the wing to stall before the outer portion and you either want a sharp stall or a mild stall. The shape of the leading edge defines whether you have a sharp stall (a sharp leading edge) or a mild one (with a more rounded leading edge). Let me point out an observation. A rectangular wing needs no twist in it (wash) as the inner panel just naturally stalls before the outer panel. A tapered wing DOES need some WASH OUT (twist). Whereas an indoor models wing looks more like a propeller with the right panel trailing edge twisted up (WASH OUT) and the left panel trailing edge twisted down (WASH IN). Back To Top
Next ... how thick do you need to make the airfoil? (from bottom to top). A good number is 12 to 15% of the chord. If your wing chord is 13 inches, then it should be about 1 3/4 inches thick including sheeting and covering. The thicker you make it, the more drag but probably more lift. The Ligeti model has an 18% thickness on the aft wing and about 13% thick on the front canard. Back To Top
Wash Out
Wing Incidence
After you fly the model you will want to observe how it fly's. Is the tail end hanging down or is it way up? If it is hanging down that means you don't have enough positive incidence in the wing so you will need to raise the leading edge of the wing a degree or so. (or lower the trailing edge) The model has told you that the wing needs to attack the air at a higher angle, probably due to the overall wing loading of the model.
Now if you really want to impress someone, then talk about DECALAGE. Hey weird-o what's the decalage on your airplane? Weird-O answers ...... " I thought I got all that stuff off ... damned cat!" The word simply means the angular difference between the wing and horizontal tail surface. If the rear end is set at zero incidence and the wing at +2 degrees incidence then the DECALAGE is positive 2 degrees. Not only that but no one really cares unless they are working with Indoor Models or rubber powered outdoor ones. Still it really doesn't matter in my mind because you have set the incidence at both ends the way you wanted them so screw it. Back To Top
Thrust Line
Balance
In addition you should balance your model fore and aft. Put one finger on the end of the crankshaft and the other finger at the tail. If it continually flops to the same side, then that side is too heavy. Probably because you have the engine set sideways with the head of the engine on one side or the other. If not the engine then it is something else, like maybe you covered the cat inside the wing or more plausible, the cat took a dump in the wing. Just start adding lead to one wing tip or the other till it balances, then kill the damned cat.
If you want to get a rough estimate for the Neutral Point of your model (i.e.-where it will become unstable) then use this formula: The distance between the quarter chord point of the wing vs the horizontal stab times the area of the horizontal stab divided by the wing area times the wing chord. example: Lets say the distance is 38 inches and the horiz. area is 410 square inches with a wing area of 3000 sq. inches and a wing chord of 14 inches. The formula would work out this way: 38 x 410 = 15580 divided by 14 x 3000 =42000. And 15732 / 42000 = .37 or 37% of the average chord. In this case .37 x 14' = 5.18 inches aft of the leading edge. To be safe you need to deduct from that measurement. Using a chord of 14' times a minium safety factor of 10% you would come up with 1.4". Just deduct the 1.4" from the N.P. measurement of 5.18 inches and you would initially balance at 3 3/4 inches aft of the leading edge or a balance point 26% aft of the leading edge. I wouldn't start out any farther aft than that.
Summary: I have found that anytime you balance beyond 33% you are getting into an unstable condition. For rough estimates I would use that normally and just make sure I was balancing ahead of that point.
Here is where you probably really need to know the real center of gravity. Imagine a circle with a dot right in the middle.(see drawing) That circle would be the real center of gravity. On a high wing pusher model, the circle (real center of gravity) will be back 25% from the leading edge and somewhere under the wing. Gotta think about how to explain finding this so give me a minute because you have to basically stand your model on a wing tip and then balance it that way.
Next I need to point out that the picture shown is of a canard and that the circle I have drawn very probably is not the balance point nor the center of gravity. The balance point, quite likely will be forward of the circle I have drawn. This is because you are now dealing with 2 wings flying rather than just one and both of these wings have to be balanced.
For now just look at the the circle under the wing (above) and 1/4 back from the leading edge. You are now looking at a side view of your model with the engine mounted to your right and back near the tail end of the aircraft in a pusher configuration. Also imagine the center of the circle as an axle. If you put your finger on top of the circle and pushed toward the front of the model, the circle would rotate counter clockwise, assuming the prop was to your right as shown above. If this were the actual thrust line pushing on top of your circle, it would tend to push the nose of your craft down. Generally a pusher engine on a canard is mounted above the Center of Gravity, so generally it will automatically push the nose down without having to cant the engine one way or the other and give you down thrust.
For side thrust it works the same as that in a tractor configuration. Right crankshaft, when looking at your model from the pusher end is right thrust.
Here is a very simple but objective way to determine if your pusher model has down thrust or upthrust before you fly it, assuming you don't know where the Center of Gravity is located and/or don't have some other means of measuring the thrust line. With the engine running at idle, place your hand around the nose of your model and lift up about a quarter of an inch then apply full throttle (assuming the model is properly restrained and junk isn't going to be sucked through the prop). If it pushes your hand down to any degree you have too much down thrust and vica versa. Simple and effective. You actually want a little upthrust so that as you chop the throttle in flight, the nose drops slightly maintaining airspeed and setting you up for a landing approach.
While on the subject of pushers. Make sure the prop is on correctly. Many of the pusher props have their insignia on what would be the back of a pusher prop. So when flipping the prop, you won't see the insignia. (hey it was all learned the hard way) Back To Top
Canards
Remember our discussion about balancing at the 25% point aft of the leading edge? If you have a wing and have thrown away the back half of it, then put a ruler on edge and try to balance what is left, you will be balancing it at the 25% point. Taaaa Daaaaah !!!. Only trouble is the darned things are hooked together with a fuselage. So to simulate the fuselage you need another long piece of cardboard. Say an inch wide x 75 feet long. On this piece of cardboard you need to attach the front halves of the wing and canard .... exactly spaced as you have built the airplane. Now try to balance this mess. To do this you will need to cut off about 73 feet of the one inch wide cardboard strip we used to simulate the fuselage. Just chop and try to get this mess to balance. It doesn't matter if you end up with 7 inches overhang on one end or the other or both because the end result is you will be balancing both wings at the 25% point and the cardboard simulated fuselage spacer at 50%.
The picture on the left is of my cardboard model of half of each wing on the Stratos, as described above.
This probably isn't where you want to balance the canard however because the forward wing (the canard) is destabilizing so you need to move the balance point even farther forward than the 25% point. This does tell you for a fact that you don't want the balance point to be any further back than this because you will probably get into instability problems. So for the canard set up I would suggest finding out the chord of your main wing. Let's say the average chord is 10 inches. We want to balance our canard about 12 to 20% ahead of the balance point we found above. So a 10 inch chord times, let's say 15% is 1 1/2 inches. Just move your balance point forward toward the canard 1 1/2 more inches. If you are still unstable then move it ahead 20% or 2 inches. My latest Ligeti Stratos was balanced at 16% for test flights and I think it should have been 20% instead.
If you want the scientific way by figuring the neutral point and static margin and all that crap then pick up a copy of the book I recommended and flip to page 169 .... and go figure.( or go to the next paragraph) Believe it or not you will come up with about the same answer. The big secret here is not to use a material of varying density ..... like balsa. One end of a balsa stringer usually weighs more than the other end. If you don't believe that then grab a stick and balance it. Then measure fore and aft from the point you marked as the middle.
For a little more scientific way to figure out the neutral point and then the balance point, here we go ...... Measure the distance between the average quarter chord of each flying surface and multiply that times the total area of the canard. Then divide that number by the total area of each flying surface. Then add 10 to 20% of the average wing cord to that number and you'll have about the same balance point. Here is an example. Let's assume the distance between the quarter chord points is 10 inches, that the canard has 400 square inches of area and the wing has 600 square inches of area. The wing is 60 inch span (rectangle) by 10 inch chord. So you multiply the canard area (400 sq. in.) times 10 inches and get 4000. The total area of both the wing and canard is 1000 sq. inches so you divide that into 4000 and your answer is 4 inches. The neutral stability point is 4 inches ahead of the quarter chord point of the wing. The wing chord is 10 inches and 10 percent of that is 1 inch, while 20% of the chord is 2 inches. Add 1 or 2 inches to the 4 inches you just found and you will have a usable balance point. Initial test flights should be using the 2 inches plus the 4 inches and then you can move it back.
Canard Area x Distance= canard area + wing area= Neutral Point ... then N.P. plus 20% of wing chord = initial balance point
So how large do you make the canard wing? Damned if I know but here is my logic for now. How large to make the canard appears to be answered by where you want the balance point to be. And where you want the balance point to be appears to be answered by the engine location and weight as well as the pilot location and weight (prob. applies more to a real one). For example if you were designing a real one, I would assume you would want the balance point somewhere near the pilots butt .... rump ... rear end .... poh-poh ..... hinney ... well you get the point. Maybe to be politically correct we should call it your proctologist's smiley face. If you hang the engine on the front then you probably need a larger canard to get more lift up front. And on the other hand (the one with the liver spots) if you want the engine toward the rear-end (see definitions above) then you probably want a smaller canard area.
Probably the most important thing you want to remember about canards is ....... you want the front wing (the canard) to stall first. If the back wing stalls first you are in deep hockey pooh. Generally you want the canard to have a higher aspect ratio than the wing. This has to do with downwash effects and stuff like that.
I could really use some help now on weird flight characteristics so if you definitely know the answer to these perplexing problems, then please email me because at this point I just think I know.
For example: I have seen canards fly just great, then all of a sudden the nose tucks under and the craft flips upside down, nose first, and flutters to the ground like a leaf. I mean it stops on a dime when this happens. I have also had one that really wanted to tuck under but never did. It just bobbed up and down like a 4 year old needing to go to the bathroom real bad. This, I think is because it is flying in a tail heavy condition, but really don't know for sure. I have also seen them fly fine until they try to land at which point the nose lifts straight up and they slide back on their rear end. This, I think also is caused by a slightly tail heavy condition. In addition I think it is possible that in all instances the balance point might have been O.K. but the .... oh goody ... I get to use it .... but the DECALAGE is off. Too much positive incidence in the canard, or not enough.
However please don't email me with facts like the center of lift triangulating 90 degrees to the center of gravity at all attitudes and needing to figure the volume coefficient of the tail plane and stuff like that...... even if you are right, I don't care. We just want simple answers to simple problems. If the damned thing tucks .... what the hell is wrong? ( It is probably tail heavy ) I realize that all of the problems described above quite probably deal with the center of gravity vs the neutral point but all we are looking for are simple answers to simple problems. Orville and Wilbur didn't know or care about it .... all they wanted to know was how to correct the problem because no one knew those terms in those days. Can't you just see Orville telling Wilbur to stop screwing with the static margin because he was going to upset the volume coefficient of the tail plane and possibly totally mess up the lift coefficient. Their conversations probably were more like .... Wilbur get that damned cat off-en my damned tool box or he'll crap on my pipe wrench again. (more later) Back To Top Home Page Home Index Page New Ligeti Page
© 11/1999 Marv Reese