The nonlineer anaysis of planar frames composed of flexibly connected members with rigid end sections considering shear deformations

In the present study, the geometrically nonlineer analysis of frames composed of members flexibly connected to the nodes has been carried out taking into consideration the effect of shear deformations and a pertinent computer program has been prepared.In the first chapter, the importance and the reasons why the research been carried out has been explained.In the second chapter, previous studies related and similar to these subjects are mentioned.In the third chapter, assumptions and notations used in this study are mentioned.In the fourth chapter, stiffness matrix method is explained in general form.In the fifth chapter, using second order theory, the member stiffness matrix for a bar with rotational springs at its ends has been obtained taking into consideration the effect of shear deformations.In the sixth chapter, using pertinent differential equations, the fixed end forces with rotational springs at its ends have been found taking into consideration the effect of shear deformations for uniformly distributed load, concentrated load, linearly distributed load, symmetrical trapezoidal distributed load and non-symmetrical triangular distributed load.In the seventh chapter, explanations concerning the computer program are given.In the eighth chapter, information concerning how to run the computer program and numerical examples are given.In the ninth chapter, the results obtained from this study are presented. The validity of the implemented computer program has been proved by solving some example problems in different ways and showing the match between the results. Problems, in the literature, which are special cases of the problems treated in this study, were solved by the present computer program and the match of the results has been observed. Using the implemented computer program and solving some examples the variations of some elastostatic quantities with the spring constants have been examined and presented.In this study, plane frames with members having rotational springs at the ends have been solved with different spring constants and comparisons among results have shown the following facts.?As the spring constants in the system decrease the displacements increase. In the limit when the spring constants reach the zero value the system behaves as if there are hinges at points where there are springs.?As the spring constants increase the displacement decrease. In the limit when the system constants take infinitely large values the system behaves as if there are rigid connections at points where there are springs.?As the spring constants increase the span moments for the beams decrease, but the end moments to the contrary, increase.Key Words: Shear Deformations, Rigid End Sections, Flexural Springs, Geometrical Nonlinearity.