PlaneFrame swMATH ID: 13345 Software Authors: Picón, Rafael Description: Analytical solutions of plane structures using Mathematica. We investigate the possibilities of using the program Mathematica to obtain analytical solutions for plane structures. Two typical applications are developed: plane frames with only bending deformations, and plane trusses. In an attempt to keep the number of unknowns as low as possible, we use indirect stiffness method and force method to formulate the first and the second problem, respectively. All the formulations are developed by making use of kernel and generalized inverse matrices, which are also used to characterize the solution of overdetermined systems of equations. Two programs (PlaneFrame and PlaneTruss) were written to solve the first and the second problem, and the listings of codes are given in the paper. Homepage: http://onlinelibrary.wiley.com/doi/10.1002/1097-0207%2820010210%2950:4%3C969::AID-NME69%3E3.0.CO;2-1/pdf Dependencies: Mathematica Keywords: plane frame; plane truss; listing of codes; program Mathematica; analytical solution; plane frames; plane trusses; indirect stiffness method; force method; kernel; generalized inverse matrices; overdetermined systems of equations Related Software: PlaneTruss; Mathematica Cited in: 1 Publication Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Analytical solutions of plane structures using Mathematica. Zbl 0981.74022Picón, Rafael 2001 Cited by 1 Author 1 Picón, Rafael Cited in 1 Serial 1 International Journal for Numerical Methods in Engineering Cited in 2 Fields 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year