Concept

Composite action — where it appears

Two members bending as one because slip between them is restrained, which for two equal layers multiplies the second moment by four.

Named by 4 essays across 4 fields — each of them below, with the objects they name alongside it.

292 MPaunpropped49.3 mm at midspansteel alonecomposite186 MPapropped28.6 mm at midspancomposite

The structure that was never complete

Every analysis in this collection is of a finished structure loaded once. Real ones are built in pieces, and each piece carries whatever was present at the moment it became structural — so the stress in a member depends on when it arrived, which appears nowhere on any drawing.

structures · construction sequence
1234403020100-10-20-30-40stage in the beam's lifeshape (mm, sag positive)against noneagainst wetagainst deadagainst total

Built to the wrong shape on purpose

A cambered beam is fabricated curved upward so that load bends it down to something like straight. Nothing in the analysis changes, no stress anywhere is altered, and almost every mistake made with it is a bookkeeping mistake about which loads count.

deflection · camber
loose: two beams, and the faces slide16.2 mmbonded: one beam, and the faces cannot4.0 mmI × 4with connectors at k = 200: 5.4 mm, 89% composite

Two beams, or one beam four times as stiff

Stack two planks and they bend as two beams whose faces slide past one another. Bond the faces and the pair has one neutral axis, four times the second moment and half the stress. Nothing was added but a restraint on slip.

internal-forces · composite action
timbersteel plateas builttransformed to one materialas it is× 19.196 N/mm²5.0 in the timberstressstiffness 1.70× the same shape with the moduli ignored

A section made of two materials, one of them pretended away

Multiplying a material's width by the ratio of the moduli produces a fictitious section of one material with the right neutral axis and the right forces. It is not a trick — it is compatibility and Hooke's law written down — and it says a stiff material takes what its modulus asks for.

sections · transformed section

Named alongside it

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

CreepSuperpositionConstruction sequenceNeutral axisPlane sectionsProppingSecond moment of areaBuilt up sectionCentroidContinuityCracked sectionDeflection

All concepts