Concept

Axial force — where it appears

The force acting along a member's own axis, positive in tension and negative in compression. It is the only internal force a two-force member carries, it is what a truss converts bending into, and it is the one internal force whose capacity contains no lever arm.

Named by 3 essays across 2 fields — each of them below, with the objects they name alongside it.

00.020.040.060.080.10.120102030405060lateral deflection (m)height (m)released:two cantileversas built:DoC 63%rigid beams:one wall

Two walls that agreed to be one

A pair of shear walls with a row of doors between them is the commonest lateral system there is, and it has two readings that differ by a factor of seven. What decides which one applies is a beam a metre deep over a two-metre opening — and most of the overturning ends up as an axial couple that no bending diagram contains.

internal-forces · wall coupling
pivotthe same force of 60, moved along the levermoment about the pivot0.160 × 0.1 = 60.260 × 0.2 = 120.360 × 0.3 = 18

The moment the beam left behind

A beam reaction is drawn arriving on a column's centreline. It arrives on a cleat a hundred millimetres out from the face, and the difference is a couple that goes into the column and has to be shared between the lengths above and below it. Nothing about it appears in a frame model whose members meet at nodes.

internal-forces · column eccentricity
-15-10-551015020406080across the face (m from the centre)column stress (N/mm²)13 columns at 3.0 mcorner 78.513.4 in the middleplane sectionseffective width 45% · stiffness 64% of gross

The columns that lean

A framed tube carries its wind load by bending the spandrel beams between its columns, and it does it badly — the corner columns take nearly six times what the middle ones do. Tilt the columns instead, so the perimeter is triangulated, and the same shear is carried axially. The concentration falls to 1.23 and the tube recovers most of the stiffness the plan said it had.

structures · diagrid

Named alongside it

The objects these essays reach for when they reach for this one.

StiffnessDriftLateral systemLoad pathBase plateBending momentBracingCompatibilityComposite actionConnectionCoupling beamDegree of coupling

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