static analysis of plane frame

This program uses the stiffness matrix of the beam element to create the stiffness matrix of the structural members. The program automatically assigns three degrees of freedom to each node and six degrees of freedom to each member. By using the direct stiffness method to superimpose the overall stiffness matrix of the structure, the program calculates the loads on the beam and the node separately, which are then automatically converted to equivalent node loads and added to the overall external force matrix. To speed up the calculation efficiency, matrix decomposition techniques are used to solve linear equations.

This program uses a graphical user interface to help users quickly preview the constructed model. The basic functions include node coordinates, material properties, member properties, member loads, and support loads. Other extended functions include node degree of freedom directions, elastic supports, support settlement, support rotation, member degree of freedom release, and loading on generalized beams. By using these functions, users can fully simulate a planar structural model.

The output of this program includes node displacement, support reaction, member axial force diagram, member shear force diagram, member bending moment diagram, member deformation diagram, structural separation diagram, and a text file of the entire process. Users can quickly obtain the calculation information of each point in each member, which facilitates subsequent structural design and related applications.

Currently, there are no restrictions on the use of this program, and it depends on the performance of the user's equipment. To facilitate the application in civil engineering, architecture, water conservancy, machinery, and other related fields, file management functions such as adding, opening, saving, and deleting are added to help users quickly complete model construction by editing input files and previewing images.