Structural Engineering & Statics
where the load goes
Generator

The bree-cycles generator

Rendered here at the parameters it defaults to, with every essay that calls it — which is the same list as the blast radius of changing it.
Which of them stops movingThree load cases on the same rectangle, each a constant moment plus a temperature profile cycled from nothing to a peak and back, over sixteen cycles. At 30% of the plastic moment with a 20°C profile it never yields at all; At 60% of the plastic moment with a 120°C profile it shakes down; At 85% of the plastic moment with a 200°C profile it ratchets, at 1.9% of the first-yield curvature per cycle. The ratcheting case never collapses and never returns: it simply arrives somewhere further round every cycle, which is a serviceability failure that no collapse calculation contains.024681012141600.511.52cyclescurvature gained ÷ curvature at first yieldM/Mp = 0.30, ΔT = 20°C — elasticM/Mp = 0.60, ΔT = 120°C — shakedownM/Mp = 0.85, ΔT = 200°C — ratcheting

1 essay calls bree-cycles. The drawing above is what it returns with no arguments at all; every call below passes it something, because a placement that passes nothing draws whichever member of the family the generator happens to default to rather than the one its essay argues about.

Where it is called

Changing this generator changes every one of these figures.

024681012141600.511.52cyclescurvature gained ÷ curvature at first yieldM/Mp = 0.30, ΔT = 20°C — elasticM/Mp = 0.60, ΔT = 120°C — shakedownM/Mp = 0.85, ΔT = 200°C — ratcheting Materials

The structure that settles down, and the one that walks

A load that is safe applied once may not be safe applied ten thousand times. Nothing about that is fatigue — the structure never breaks, it simply arrives somewhere slightly further round every cycle, until it has arrived somewhere unusable.

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