Bernoulli 2D Frames

  • Antonio J. M. FerreiraEmail author
  • Nicholas Fantuzzi
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 157)


In this chapter two-dimensional frames under static loading and free vibrations are analyzed. The present formulation is a generalization of the previous Bernoulli beam in local coordinates. The stiffness and mass matrices are given by transformation of the same matrices in local coordinates by a matrix of rotation which is a function of the beam slope with respect to the horizontal axis.

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© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Engenharia MecânicaUniversidade do PortoPortoPortugal
  2. 2.DICAM DepartmentUniversity of BolognaBolognaItaly

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