Saqr ConsultingDesign sheets
Saqr Consulting

Control Surfaces & Servo Torque

Hinge moments · servo sizing · roll rate
A file you keep, not an account. Nothing is stored on this site.
The aircraft
dm²
mm
Both from Sheet 01.
mm
mm
Taper matters here: an aileron out near a narrow tip has less area and less arm than the same percentage inboard.
km/h
The fastest speed at which you might use full deflection. Top level speed from Sheet 04 is the honest choice; the manoeuvre speed from Sheet 10 is the defensible minimum. Hinge moment goes as the square of it.
Ailerons
% chord
°
20 to 30% of chord is the usual band. Past about 25° a plain surface stalls and stops adding roll, which is why more throw is not more control.
% semi
% semi
As a fraction of the semi-span, from the centreline. Outboard is worth more than inboard, because rolling moment goes with the arm.
Elevator and rudder
% of wing
% chord
°
A 100% chord figure means an all-moving tail, which this sheet will size but will get wrong: an all-moving surface hinges about its own quarter chord and its hinge moment depends on where you put the pivot.
mm
AR
η
Quarter chord of the wing to quarter chord of the tail, the same figure Sheet 03 uses, and it arrives filled in if you came from there. These three and the elevator above are what decide how far forward the balance point can go: an elevator that cannot hold the nose up at the stall is an aeroplane that will not flare.
CL
Cm0
From Sheets 01 and 02. The elevator has to hold the nose up against both of them at once: the lift you are asking for, and the nose-down moment the camber makes while you ask for it.
% of wing
% chord
°
Fin area excludes the rudder on some drawings and includes it on others. Include it here — it is the whole vertical surface.
Linkage
g
mm
AR
These and the rudder above answer the question every club field asks in the afternoon: how much crosswind can this aeroplane land in? The weight sets the approach speed, the fin and the arm set what the rudder is working with, and the box below sets what it is working against.
Cnβ
From Sheet 12, and it arrives filled in if you came from there. It is the fin's stiffness after the fuselage has taken its share back, which is why it belongs to that sheet rather than this one: a deep nose ahead of the wing can eat half of what the fin makes.
mm
mm
Measured hinge line to pushrod hole, and servo centre to pushrod hole. The ratio is the whole trade: a long arm and a short horn give plenty of throw and demand plenty of torque, in exact proportion.
An open gap leaks pressure from the high side to the low side. It costs effectiveness and, awkwardly, raises the hinge moment for the lift you do get.
Air
m ASL
°C
% RH
Hinge moment scales with density, so thin air is the one place a control gets lighter. Set it here or on the Atmosphere tool.
Servo torque required against airspeed Torque rises as the square of airspeed. Horizontal bands mark the torque common servo classes deliver.
Where people go wrong

The errors this method actually invites, and what it does about each. Every one of them is already a warning somewhere — in a note that appears when your own figures trip it, in the scope statement, or in the equations behind the page. Collected here so you can read them before you need them.

Growing the surface chord and expecting the torque to follow it. Chord enters twice — once in the area and once as the moment arm — so the hinge moment grows as the square of the chord fraction. It also grows as the square of the speed, so a surface sized at cruise is undersized at the dive speed.

Sizing on a catalogue torque figure. Every maker quotes stall torque, at about six volts, which is not what the servo will hold all day against an air load. The classes here are compiled from catalogues across several makers and share that optimism.

Leaving the hinge gap open. An unsealed gap multiplies the hinge moment by 1.25 and costs effectiveness on top. Sealing it is tape.

Entering an all-moving tail as a 100% chord flap. It will be sized, and the answer will be wrong. Such a surface hinges about its own quarter chord and its hinge moment depends on where you put the pivot, which is not something a flap model can express.

Expecting the roll rate to a few per cent. Strip theory ignores the induced flow a rolling wing makes and treats each strip of aileron as if it worked alone. The two errors push opposite ways, which is why it survives as a preliminary tool — expect the real aeroplane within about 30%.

Enlarging the fin here and believing the crosswind. A bigger fin in this box raises what the rudder can make and leaves the weathercock stiffness it works against exactly where it was, because that figure comes from Sheet 12 and not from the fin alone — on a deep-nosed model the fuselage takes back nearly half of what the fin makes. Change the fin, run Sheet 12 again, bring the new figure back. Otherwise the gain is counted once and the cost of it not at all.

Reading the forward limit as the whole balance range. It is one point and one condition: the elevator on the stop at the stall. The other end is Sheet 03's neutral point less whatever static margin you want, and only the two together are a range. On a model the forward limit is almost never what binds, which is the opposite of full-size practice — twenty-five degrees of throw on a tail a fifth of the wing is an authority no certificated aeroplane has.

Each surface, at the design speed
SurfaceArea, both sidesMean chordDeflection Hinge momentServo torqueSmallest servo that does it

Hinge moment coefficients and servo ratings compiled from published data and catalogue figures, not measured. The last column is the smallest class that meets the number, and catalogue torque is stall torque — pick a class above it.