Structural Engineering & Statics
where the load goes
Generator

The brace-stiffness generator

Rendered here at the parameters it defaults to, with every essay that calls it — which is the same list as the blast radius of changing it.
A brace is a stiffness requirement, not a strength oneCritical load against brace stiffness for a pinned column braced at mid-height. The curve climbs from the unbraced Euler load of 9.87EI/L² and flattens at 39.48EI/L², which is the Euler load of the braced segment — past that the column buckles in a shape the brace does not obstruct, and further stiffness buys nothing. The knee is at about 159EI/L³.05010015020025001020304050brace stiffness (units of EI/L³)critical load (units of EI/L²)ideal stiffness ≈ 159 EI/L³39.5 — braced9.87 — unbraced

1 essay calls brace-stiffness. The drawing above is what it returns with no arguments at all; every call below passes it something, because a placement that passes nothing draws whichever member of the family the generator happens to default to rather than the one its essay argues about.

Where it is called

Changing this generator changes every one of these figures.

05010015020025001020304050brace stiffness (units of EI/L³)critical load (units of EI/L²)ideal stiffness ≈ 159 EI/L³21.839.5 — braced9.87 — unbraced Stability

The brace that need not be strong

A brace holding a column at mid-height carries almost no force. What it has to be is stiff — and the stiffness required is exact, large, and reached at a knee past which more buys nothing at all.

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