Mathematica Structural Mechanics

Introduction

Structural Mechanics is not a replacement for huge and expensive finite element analysis programs, it is an easy-to-use application that allows you to experiment, gain new insights, and preprocess problems before you launch into computationally expensive and time-consuming finite element modeling.

Using Structural Mechanics, you can:

  • Derive basic cross-sectional properties for pre- and user-defined cross sections.
  • Symbolically or numerically calculate bending functions, stress fields, and deflection of cantilever beams. Plus, using a number of two- and three-dimensional graphical functions, visualise deflected beams under bending loads.
  • Determine closed-form solutions for torsional stresses and displacements, as well as for a number of cross-sectional constants such as twist and torsional rigidity.
  • Explore the finite element method using Structural Mechanics' shape function generation tools, and perform two-dimensional finite element analysis.
  • Compute principal stress components and directions as well as maximum shear stress and its direction. Also compute and plot Mohr's circles to view a planar representation of a three-dimensional stress state.

Finally, Structural Mechanics allows you to easily access and symbolically manipulate lengthy equations for linearised theory of elasticity in Cartesian, cylindrical, and spherical coordinates.

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