Saqr ConsultingDesign sheets
Saqr Consulting

Structures & Spar Sheet

Flight envelope · gust loads · root bending · cap sizing
A file you keep, not an account. Nothing is stored on this site.
The aircraft
g
From Sheet 05 if you built a budget. Load scales directly with it, so this is the input that matters most.
dm²
mm
Both from Sheet 01. Span sets the bending moment: the same lift on a longer wing is a bigger moment at the root, as the square of it for a given area.
CL
The whole-wing figure, already reduced from the section value. It sets the stall speed, and the stall speed sets where the envelope's curved edges sit.
mm
mm
% t/c
The root chord and the thickness give the depth available for the spar, and depth is worth more than material: the cap area needed falls in direct proportion to it. The tip chord is here for a different reason — it sets the taper, and the taper decides how far out along the wing the lift sits.
How it will be flown
g limit
The limit load is what the structure must carry without permanent deformation. Compiled from long-standing model practice and the full-size categories it grew out of, not measured — a hard arrival can exceed any of them.
km/h
From Sheet 04 or Sheet 06. The gust line is drawn at this speed, and the dive speed follows from it.
m/s
A vertical gust hitting the wing head-on. 3 m/s is a breezy afternoon, 5 m/s is thermal edge or rotor behind a treeline, 7.5 m/s is a bad day to be flying. Full-size certification uses 15 m/s, which no model will ever be built for.
The spar
Every figure in the table below is compiled, not measured. Wood in particular varies by 40% between two pieces off the same shelf, which is the single biggest reason to build in margin rather than trust a number.
×
% of t
Ultimate load is the limit load times the safety factor; 1.5 is the full-size convention and a sensible floor here. The depth is how much of the section thickness the spar actually spans, measured cap centre to cap centre.
Air
m ASL
°C
% RH
Thin air raises every speed on the envelope without changing a single load: the wing still stalls at the same lift coefficient, just faster. Leave the temperature blank for the standard atmosphere, or set it on the Atmosphere tool.
V-n diagram: load factor against airspeed The flight envelope. Curved edges are the stall boundary, flat tops and bottoms are the limit load factors, and the right-hand edge is the dive speed. Gust lines cross it.
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.

Sizing to the manoeuvre limit alone. The gust increment goes inversely with wing loading, and a model's wing loading is around a tenth of a light aircraft's. Gusts a full-size aeroplane rides through can exceed the manoeuvre limit on a model, which is why the design load factor here is the largest of the three cases rather than the one you picked.

Taking the spanwise load as uniform. A uniform load puts the centroid of the half-wing load at 0.5 of the semi-span. Schrenk's approximation, which this sheet uses, puts it between 0.379 and 0.462 depending on the taper, and a pure ellipse at 0.424. Assuming the easy answer overstates the root bending moment by eight to thirty per cent — which is the safe direction to be wrong in, and expensive. Assuming an ellipse under a constant-chord wing is the same mistake with the sign reversed and it costs nine per cent, which is not.

Reading a strong spar as a stiff one. Strength and stiffness are different requirements. The tip deflection reported here is for a spar sized exactly to strength, which is why it is often larger than a builder would accept — that is the sheet telling you stiffness is the binding case.

Trusting the wood. Balsa varies about 40% between two pieces off the same shelf, which is a wider spread than the difference between careful and careless design. Weigh the actual stick.

Thinking a strong wing is a safe wing. Flutter is a stiffness problem rather than a strength one, and it is what actually destroys fast models. Nothing on this sheet models it, and nor does the shear web, the root joint, the wing bolts or the torsion box.

What each material would need, for the same wing
Cap materialStrengthStiffnessCap area Cap, 3:1 sectionTip deflection at limit

Strengths and stiffnesses compiled from published wood and composite data, not measured. Treat them as indicative.