A Mixed Force-Displacement Method for the Exact Solution of Plane Frames

Giovanni Falsone^1, and Dario Settineri¹

¹Department of Civil Engineering, University of Messina, Messina, Italy

Cite this paper:
Giovanni Falsone and Dario Settineri. A Mixed Force-Displacement Method for the Exact Solution of Plane Frames. American Journal of Civil Engineering and Architecture. 2013; 1(4):82-91. doi: 10.12691/ajcea-1-4-3

Abstract

This paper deals with the solution of statically undetermined plane frames by using a mixed force-displacement method based on the use of the differential equations of both the bar axial deformation and the beam bending. The unknowns in solving the algebraic equations derived by the proposed approach are represented by the integration constants of each mono-axial frame of the structure. The applications examples show that, even if the dimensions of the problem are larger than both cases related to the use of the force and of the displacement methods, the proposed approach does not require post-processing for finding any kinematic and static response quantity. Therefore, this approach can be considered as an alternative to the Finite Element approaches for solving plane multi-axial frames.

Keywords:
statically indeterminate structures plane frames beam bending differential equation bar axial deformation

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