Structural Engineering & Statics
where the load goes
Generator

The mv-interaction 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.
Nothing happens, and then everything happensThe moment capacity left to a section already carrying shear, against the shear as a fraction of what the web can take. The web holds 26.1% of this section's plastic modulus and the flanges hold the rest, and only the web's share is reduced — by the factor √(1 − v²) that von Mises leaves it. So the curve is flat for most of its length: the first per cent of moment is not lost until v = 0.27, half the shear capacity costs 3.5%, and 15% is not reached until v = 0.9. The tangent at v = 1 is vertical, which is why the last tenth of the shear range costs more than the first eight.00.20.40.60.810%20%40%60%80%100%shear, as a fraction of the web's capacitymoment capacity leftthe sectionthe web alone√(1 − v²)96.5%85.3%web 26.1% of the plastic modulus · M_pl 744 kNm · V_pl 959 kN

Nothing happens, and then everything happens. The moment capacity left to a section already carrying shear, against the shear as a fraction of what the web can take. The web holds 26.1% of this section's plastic modulus and the flanges hold the rest, and only the web's share is reduced — by the factor √(1 − v²) that von Mises leaves it. So the curve is flat for most of its length: the first per cent of moment is not lost until v = 0.27, half the shear capacity costs 3.5%, and 15% is not reached until v = 0.9. The tangent at v = 1 is vertical, which is why the last tenth of the shear range costs more than the first eight.

1 essay calls mv-interaction. 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.

00.20.40.60.810%20%40%60%80%100%shear, as a fraction of the web's capacitymoment capacity leftthe sectionthe web alone√(1 − v²)96.5%85.3%web 26.1% of the plastic modulus · M_pl 744 kNm · V_pl 959 kN Sections and stress

Both at once, and neither matters until it does

A section carrying shear has less moment capacity, and the reduction is the web's share of the plastic modulus times one minus the root of one minus the shear ratio squared. On a rolled beam that share is a quarter, so half the shear capacity costs three and a half per cent — and then the last tenth costs more than the first eight.

The library, page 3 of 6 — where mv-interaction sits