Structural Engineering & Statics
where the load goes
Concept

Plastic moment

2 essays name this object, across 2 fields. What follows is each of them, and the objects they name alongside it.
sagging hinge at 4.69hinge at the fixed endlowest upper bound: 7.29every hinge position gives an upper bound on the collapse loadassumed position of the sagging hingecoefficient 11.66 Mp ÷ L²

After the first yield, which is not the end

A steel beam whose extreme fibre has reached yield has not failed. It has started forming a hinge, and collapse waits until there are enough hinges to make a mechanism.

internal-forces · plastic hinge neutral axiscompressiontensionI = 29.97 × 10⁶Z = 299.7 × 10³peak stress 200.2σ = M y ÷ I, at every height

Bending is a pair of forces, pushing and pulling

A bending moment is not a mysterious twisting. It is a push near the top of a section and a pull near the bottom, separated by a lever arm — a couple, made out of stress.

sections · bending stress

Named alongside it

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

CentroidCollapse mechanismElastic limitLever armLower boundMoment redistributionNeutral axisPlane sectionsPlastic hingeSection modulusStress blockUpper bound

All concepts