Series

Plane sections — the series

One essay so far on this idea, and more questions about it than one essay answers.
  1. Where plane sections stop staying plane. Strain across a cut face at four span-to-depth ratios, with the straight line the theory assumes drawn faintly behind. For a slender beam the two coincide; for a beam as deep as its span the real distribution is nothing like a straight line, and beam theory has no claim on it.

    Plane sections stay plane, and what the assumption costs

    Beam theory rests on one sentence about geometry. It is very nearly true for a slender member, wrong for a deep one, and everything in the subject that fails does so where it stops holding.

    part 1 · sections

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