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Stylized blueprint portrait of Jacob Bernoulli

Jacob Bernoulli

1655 – 1705

Linked beam curvature to bending moment.

A Swiss mathematician and the elder of the Bernoulli dynasty, Jacob linked a beam's curvature to its bending moment in the 1690s — the relation that his nephew Daniel and Euler turned into the beam equation.

The beam-deflection tools here descend from his elastica. He also founded much of probability theory and gave us the number e.

Portrait: a stylized blueprint-line rendering, not a photograph.

Contributions in the toolbox

  1. 1694

    Links beam curvature to bending moment.

    Beam Deflection

Calculators built on this work

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