| A 3-D Web-based non-linear semi-rigid frame analysis program is developed to incorporated the geometric and material non-linearity using C# (C-sharp) NET programming language. The concept of hybrid element with attaching pseudo spring representing the flexural connection and plasticity effect are employed to modify the element stiffness matrix of the beam. This stiffness modification is related to the connection spring stiffness and/or section yielding at each beam ends. The kinematic hardening model is used in the implementation of connection spring stiffness in non-linear analysis while the concept of section assemblage method presented by Chan and Chui (1997) is employed for evaluating the effect of section yielding. With the matrix condensation method and the reduction form of element stiffness, the effect of these non-linearity are directly included in the beam element stiffness without the addition DOFs need. The non-linear procedures have been performed based on the Newton-Raphson method in which the tangent stiffness is used. To visualize the results in 3-D, the program is performed to represent the input and output geometry graphically in oblique projection viewing. |
