Before revision: The Euler–Bernoulli hypotheses that plane sections remain plane and normal to the axis of the beam lead to displacements of the form Using the definition of the Lagrangian Green strain from finite strain theory, we can find the von Karman strains for the beam that are valid for large rotations but small strains.
After revision: The Euler–Bernoulli hypotheses that plane sections remain plane and normal to the axis of the beam lead to displacements of the form Using the definition of the Lagrangian Green strain from finite strain theory, we can find the von Kármán strain for the beam that are valid for large rotations but small strains.