Skip to article frontmatterSkip to article content

... for bending

The differential equation for kinematic relations for bending is based on a displaced the infinitesimal small beam:

leading to :

φ=−dwdx{\varphi} = - \frac{{{\rm{d}}w}}{{{\rm{d}}x}}
(1)

and

leading to :

κ=dφdx{\kappa} = \frac{{{\rm{d}}\varphi}}{{{\rm{d}}x}}
(2)

This is treated in chapter 4.3.1 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
Constitutive relations