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Local buckling

Comparison of a stocky and a slender plate element under compression: the slender one buckles into waves while the supported edges stay in place.

A – stocky element, B – slender element. 1 the element stays straight · 2 the buckling waves · 3 the width of the element, which relative to thickness decides the behaviour

If a thin, wide plate element is compressed in its plane, at some point it deflects sideways: waves appear across it. The bends — where the sheet turns into another plane — support the element, so they stay in place.

Note: buckling is not failure. The buckled plate carries on carrying load, just unevenly: fully near the supported edges, far less in the middle.

The stability of a plate element depends on the ratio of width to thickness. The more slender the element, the lower the stress at which it buckles.

A flange a few centimetres wide formed from 1 mm sheet is slender in this sense — so buckling typically occurs before the yield strength is reached.

With the concept of effective width: design does not work with the real, uneven stress distribution but with a reduced, “effective” cross-section that gives the same capacity. Effective cross-section.

A lip bent onto the free edge of the flange supports the element and improves its stability considerably. That is why load-bearing C sections have lips — and why leaving them off is a serious loss.

A longitudinal rib divides a large web into two smaller elements. Two slender elements become four stockier ones.

A shallower web or a narrower flange gives stockier elements — at the cost of bending stiffness. Design optimises between the two.

Directly improves the stability of the element.

Buckling explains why you cannot tell by looking what a profile carries, and why knowing the thickness is not enough. Two sections of the same depth and thickness can differ significantly in capacity if one has a lip and stiffening and the other does not.

Buckling is not a defect but the nature of thin sheet. Design does not try to eliminate it but to manage it — with restraint and with the effective cross-section.