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Static Finite Element analysis of a truss assembly using MATLAB

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2021 ASEE North Central Section Conference


University of Toledo, Ohio

Publication Date

March 19, 2021

Start Date

March 19, 2021

End Date

March 20, 2021

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Cyrus K Hagigat The University of Toledo

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Dr. Hagigat is an associate professor in the Engineering Technology department of the College of Engineering of the University of Toledo. Dr. Hagigat has an extensive industrial background, and his teaching technique is based on practical aspects of engineering.

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The theme of this article is to present an approach for the development of matrix based stress analysis equations for trusses and demonstrating use of MATLAB software to expedite the solution of the matrix based equations. The approach involves developing displacement matrices for connected springs based on their spring constants, and then extending the technique to two dimensional rods by determining their equivalent stiffness through their axial displacement formula. The rod matrices are then adjusted for rod orientation angle and global matrices for trusses are assembled using the stiffness method. Techniques for inclusion of the boundary conditions in the global matrix equations are shown. MATLAB software has extensive matrix manipulation capabilities and features. MATLAB instructions are used to find the displacements for an example truss. The MATLAB produced results are compared against results obtained by classical techniques. The stresses in truss components can then be determined by using the displacements. A discussion regarding the application of the techniques to more complex scenarios where solutions cannot be easily obtained through classical techniques are discussed. The technique has uses as a supplement to traditional material in an intermediate level structural analysis course.

Hagigat, C. K. (2021, March), Static Finite Element analysis of a truss assembly using MATLAB Paper presented at 2021 ASEE North Central Section Conference, University of Toledo, Ohio.

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