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Could somebody check my calcs?


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Your mixing up linear measurements e.g. wingspan with square measurements e.g wing area.

If the tailplane needs to be 20 - 22% of wing area it needs to be 155 to 171 sq.in in area as you say, but you can’t apply the 20 – 22 % to the span or chord. You need to work those out from the tailplane area.

For a 3:1 aspect ratio stab you will need something like 22.5” span and 7.5” in chord (= 168.75 sq.in area).

Good luck with the project, it sounds interesting.

Dick

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Dick's beat me to it

Don't lump the stabiliser and the elevator together

The elevator is 20% - 30% of the stabiliser

The stabiliser being 15% - 20% of the wingspan

The fin area 33% of the stabiliser

And the rudder 33% - 50% of the fin

These are ballpark numbers

If you have graph paper, or just paper ST, draw out your model to a scale to fit the paper

and errors will show up visually

Then you can look again until the drawing looks right

Edited By Denis Watkins on 23/03/2018 16:28:23

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Tailplane + elevator [UK models don't have horizontal stabswink 2] = Chord x span

Span = chord x aspect ratio = 3 * chord
therefore
Area = chord * 3 * chord = 3 * chord²
therefore

Area/3 = chord²

Required area = 155

Therefore
Chord² = 155/3 = 52 [aprox]
Chord = √52
= 7.25 [aprox]
Span = 3* chord
= 21.75

Ditto if area = 171
Chord = 7.6
Span = 22.8

Edited By PatMc on 23/03/2018 16:38:48

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Posted by supertigrefan on 23/03/2018 16:17:42:

Ah!....I see embarrassed

So I need to start with the required area, then play with the span and chord until I get it at the 3:1 AR?

Indeed, although with a tiny bit of algebra, there's no need to play.

If the tail plane span is x, then the area is x * x/3 if the 3:1 ratio is to be respected.

So Area = (x^2)/3

or (transposing): x = squareroot(3*Area)

If the required area is 155 sq. in. then the span is squareroot(3*155) = 21.56 inches.

If the required area is 171 sq. in. then the span is squareroot(3*171) = 22.65 inches.

Hope that helps.

TWS

EDIT: Crossed posts, PatMc. Great minds, eh?

Edited By The Wright Stuff on 23/03/2018 16:40:40

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Posted by Denis Watkins on 23/03/2018 16:23:20:.....

The elevator is 20% - 30% of the stabiliser

The stabiliser being 15% - 20% of the wingspan

..............

Edited By Denis Watkins on 23/03/2018 16:28:23

Are you talking areas or linear measurements here? We don't want to further confuse the OP smiley.

Dick

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While we're clarifying things Dennis, you wrote "Don't lump the stabiliser and the elevator together". Did you mean that the elevator shouldn't be included in tailplane area calculations? I don't claim any more than casual designing experience but I've always considered the elevator to be part of the tailplane when calculating a C of G.

Edited By Martin Harris on 23/03/2018 16:57:37

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Your original numbers don't add up.

66" span with a 5:1 AR gives 871sq ins.

66" span with an area of 776 gives an AR of 5.6:1

Perhaps best if you state the parallel section chord & parallel sub span + the tip chord.

BTW 5:1 is quite a low AR e.g. the Piper Cub is 7:1 also 20% tailplane (inc elevator) area is pretty generous but the distance between tailplane & wing needs to be taken into account when deciding this %.

Edited By PatMc on 23/03/2018 17:46:53

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Posted by PatMc on 23/03/2018 17:39:15:

BTW 5:1 is quite a low AR e.g. the Piper Cub is 7:1 also 20% tailplane (inc elevator) area is pretty generous but the distance between tailplane & wing needs to be taken into account when deciding this %.

This is an important consideration to bear in mind when you are being quoted "ball park" figures. The effectiveness of a tailplane is a product of its area times the distance from the centre of pressure so the further from the wing the tailplane is, the smaller area is required. An extreme example is a tailless model where the allowable C of G will be very close to the leading edge of the wing - a very small percentage of the mean chord as opposed to the 25 - 35% ranges often quoted for "typical" models.

Edited By Martin Harris on 23/03/2018 18:07:26

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