This master thesis is concerned with solution algorithm to analyses bar,
beam and plane elements and structures by using the finite element method
in reference to the geometrically linear theory. Therefore, at first the
theoretical foundations for the analysis of these finite elements are
summarized. Subsequently, different solution approaches to calculate nodal
displacements, stresses and interior forces, natural frequencies and
critical buckling forces are discussed and applied. For this propose an
already existing algorithm is expanded by the above-named element types and
used to solve simple and complex problems. For implementation, various
MATLAB programs are developed and explained. The results are verified by
the commercial software ANSYS Mechanical APDL.