Computation of Second-Order Rigidity Matrix of Beam on Elastic Foundation

Authors: Hikmet Hüseyin ÇATAL, Seval ALKU

Abstract: The theory in which the variations of geometry affect the equilibrium equations in called as 'second-order theory'. For the computation of the second-order rigidity matrix of beam on elastic foundation, axial force of the beam was transformed fictitious uniform load. Differential equation of elastic curved of the beam loaded by the fictitious load and external loads was solved by using boundary conditions at ends of the beam, thus between end displacements and end forces equations were written as matrix form and the second-order rigidity matrix of the beam on foundation was obtained.

Keywords: Rigidity Matrix, Second-Order Theory, Matrix-Displacement Method, Elastic Foundation.