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... for bending

The constitutive relation for extension is based on the force on a infinitesimal small part of the cross and Hooke’s law, leading to:

M=EIκM = EI \kappa
(1)

This is treated in chapter 4.3.2 of the book Engineering Mechanics Volume 2 Hartsuijker & Welleman, 2007.

References
  1. Hartsuijker, C., & Welleman, J. W. (2007). Engineering Mechanics: Volume 2: Stresses, strains and displacements. Springer Netherlands. 10.1007/978-1-4020-5763-2
Activities
... for extension
Activities
Solve displacements truss structures