Structural Engineering & Statics
where the load goes
Concept

Shear force — where it appears

2 essays name this object, across 2 fields. What follows is each of them, and the objects they name alongside it.
2012.57.5shear 7.5moment 22.5the cut, at x = 5nothing was applied here — the internal forces are what the left-hand piece needs

What a cut reveals, and why it was there all along

Cut a beam anywhere and two quantities appear on the face — a shear force and a bending moment. Nothing was applied there. They are what the material was already doing.

internal-forces · internal forces contraflexure at the middle of the holefrom the moment: 70.3 N/mm²from the shear: 167.6 N/mm²total 237.9 of 355second moment lost: 30%deflection up by 0.7%the shear the tees must carry: 63 kN, half each, over 400 mm

The hole that costs nothing, and everything

A service opening removes 30% of a beam's second moment and 0.7% of its deflection. What it costs is not that. Across the opening the shear has nowhere to go but through the two tees, and a tee carrying shear over a length bends.

sections · web opening

Named alongside it

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

Load pathBending momentDeflectionDisturbed regionFlangeFree body diagramIdealisationPlane sectionsPoint of contraflexureSaint-Venant's principleSecond moment of areaSecondary bending

All concepts