MATLAB-Based Finite Element Solver for 2D Prismatic Beams

dc.contributor.advisorMankovits, Tamás
dc.contributor.authorHabib, Ahnaf
dc.contributor.departmentDE--Műszaki Kar
dc.date.accessioned2026-02-02T16:45:47Z
dc.date.available2026-02-02T16:45:47Z
dc.date.created2025-11-23
dc.description.abstractThe paper presents a finite element solver of 2D prismatic beam based on Timoshenko beam theory written in MATLAB. It corrects the conventional Euler-Bernoulli limitations with the introduction of shear deformation and moment of inertia, which makes it more dependable regarding thick, short or high-frequency beam cases. Many students usually work with black-box commercial tools like Femap or Ansys in classes and thus don’t know how things work under the hood. To tackle this, the entire process here is presented in a stepwise, clear and modular code. In that manner, students can observe each calculation and begin with developing their own engineering mindset and solutions. The solver takes input in the form of a spreadsheet, is user friendly and provides visual results of the undeformed and deformed shapes. It also calculates displacement, bending moments, shear force and stress contours to facilitate exploration with varied geometry, material, loads and boundary conditions and view the effect of each variable on the results. The value of the solver as an instructional tool is demonstrated when the solver results are compared to the commercial software results and experimental data. It is a useful guide for undergraduate classes on mechanics, finite element analysis, as well as computational modelling, and can be built upon as an educational platform in the future.
dc.description.courseMechanical Engineeringen
dc.description.degreeBSc/BA
dc.format.extent58
dc.identifier.urihttps://hdl.handle.net/2437/403948
dc.language.isoen
dc.rights.infoHozzáférhető a 2022 decemberi felsőoktatási törvénymódosítás értelmében.
dc.subjectMATLAB
dc.subjectTimoshenko Beam Theory
dc.subjectFinite Element Method
dc.subjectFEM
dc.subjectComputational Mechanics
dc.subjectEngineering Education
dc.subject.dspaceEngineering Sciences::Engineering
dc.titleMATLAB-Based Finite Element Solver for 2D Prismatic Beams
dc.title.translatedMATLAB-alapú végeselem-megoldó 2D prizmatikus gerendákhoz
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