Engineering

Why a squeezed ruler bows sideways: Euler's buckling and the hollow tube

A green steel rod fixed to a wall at one end, bowed sideways under a squeezing force from the other end
30seconds
The 30-second version

Squeeze a ruler between your palms and it doesn't crush: it bows sideways and gives way. That's buckling, and it decides how slender a column can be.

Euler worked out the threshold in 1757: the load a column can carry falls with the square of its length, and depends on stiffness and shape, not on how strong the material is. Play with a steel rod below: stretch it, hollow it out, clamp its ends, and see which fails first.

Deep dive · 4 min
Deep dive · 4 min

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