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Correlation of a Cantilever Beam Using Beam Theory, Finite Element Method, and Tests

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2016 ASEE Annual Conference & Exposition


New Orleans, Louisiana

Publication Date

June 26, 2016

Start Date

June 26, 2016

End Date

August 28, 2016





Conference Session

Modeling and Simulation

Tagged Division

Computers in Education

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Paper Authors


Luis E Monterrubio Robert Morris University Orcid 16x16

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Luis Monterrubio joined the Robert Morris University Engineering Department as an Assistant Professor in the Fall of 2013. He earned his B.Eng. from the Universidad Nacional Autónoma de México, his M.A.Sc. from the University of Victoria, Canada, and his Ph.D. from the University of Waikato, New Zealand. All degrees are in Mechanical Engineering and both M.A.Sc. and Ph.D. studies are related with vibrations. After his Ph.D. he worked at the University of California, San Diego as postdoctoral fellow in the area of bioacoustics.
He teaches dynamics, machine design, numerical methods and finite element methods.
He has work for the automotive industry in drafting, manufacturing, testing (internal combustion engines—power, torque and exhaust emissions, vibration fatigue, thermo-shock, tensile tests, etc.), simulations (finite element method), and as a project manager (planning and installation of new testing facilities).

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The purpose of this work is to show how a series of laboratories can be used to provide students with a process that will allow them to become efficient and effective users of commercial finite element software. The series of laboratories starts with the study of the beam theory and analytical solutions for deflections and stresses of a cantilever beam that can be used as “exact solutions”. Then a solution for the same problem is obtained implementing the finite element method (FEM) in a Matlab code. This ensures that students understand the basic concepts of the FEM. The next step is to use different types of elements in finite element analyses (FEA) implemented in commercial software. Advantages of simple elements must be identified by students. Convergence of results towards exact values as the number of degrees of freedom in finite element model is increased must also be noted by students. Finally, experiments are carried out to validate the FEA results. Thus, this work presents a well-integrated "lab example" that includes Matlab programming, finite element modelling and use of commercial FEM software, as well as physical verification using test equipment and sample beam.

Monterrubio, L. E. (2016, June), Correlation of a Cantilever Beam Using Beam Theory, Finite Element Method, and Tests Paper presented at 2016 ASEE Annual Conference & Exposition, New Orleans, Louisiana. 10.18260/p.26593

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