Abstract:
This thesis presents a developement of the element stiffness and
consistent mass matrix of beam-columns including shear deformation on twoparameter
elastic foundation based on the exact solution of differential equations
of the problem. In the analysis, a beam-column with uniform cross section is
considered, the displacement is assumed to be small and the material is linearly
elastic. A computer code is developed to compute the element stiffness,
consistent mass matrix, and load vectors based on the procedure given in this
study. Numerical examples of static and dynamic analysis are given and results
of the finite element analysis using the exact shape function are in a very good
agreement with those obtained from the cubic displacement beam-column
elements. In case of static analysis, it is found that the accuracy of results are
independent of the discretization. Numerical studies related to the physical
parameters of the problem are demonstrated.