Concept

Differential shortening — where it appears

The difference in axial shortening between two vertical elements at different stresses, which tilts the floors between them and peaks at mid-height.

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

-40-30-20-10010020406080100120140column shorter than core (mm)height (m)from loadfrom shrinkagethe sumworst 43 mmat level 40one in 208

The columns are shorter than the core

Every column in a tall building gets shorter as the building is built on top of it, and the core beside it gets shorter by a different amount. The floors between them tilt by the difference — and the difference is largest exactly half way up, because a floor near the top has almost nothing built above it and a floor near the bottom has almost nothing beneath it.

deflection · differential shortening
4020080030002000000.20.40.60.81stiffness of each supportfraction of the deflection that is bendingrigid supportsare over here1%the beam drawn

The deflection that belongs to the support

A beam calculation answers a question about a beam sitting on things that do not move. Real ones sit on bearings, on other beams and on columns that shorten, and every one of those is a spring in series with the member — so a deflection is the sum of two things and only one of them is a property of the beam.

deflection · support flexibility
294 kN294 kNoutrigger · 35 MNm30 kN/mtop drift 74 mmwas 360 mmbase moment 38 MNmwas 74

The arm that makes the columns work

The perimeter columns of a tall building are already there, already carrying gravity, and already the furthest thing from the centre. They take almost none of the overturning, because a floor slab transmits shear and not moment — and one storey-deep arm at the right height changes that by nearly a half.

structures · outrigger

Named alongside it

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

Axial shorteningCoreServiceabilitySupport settlementTall buildingBearingCompatibilityCompensationConstruction sequenceCreepDeflectionDrift

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