Stiffness Method | Lecture 3 Beam Element Stiffness Matrix Derived with Flexibility Method & Coding скачать в хорошем качестве

Stiffness Method | Lecture 3 Beam Element Stiffness Matrix Derived with Flexibility Method & Coding

📚 In Lecture 3 of the Stiffness Method series, we fully derive the beam element stiffness matrix in local coordinates step by step using the flexibility method before assembling it into the stiffness formulation. In this lecture, we cover: ✅ Assumptions of the Euler–Bernoulli beam theory ✅ Degrees of freedom (DOFs) for a 2D beam element ✅ Definition of stiffness coefficients and use of Maxwell–Betti reciprocity ✅ Full derivation of the beam element stiffness matrix via the flexibility method ✅ Special case: axially rigid beam element ✅ Implementing the beam element stiffness matrix in MATLAB and GNU Octave This lecture builds on the truss element (Lecture 2) and shows how to extend the stiffness method to beams and frames with complete mathematical development. 👷‍♀️ Delivered by Dr Margi Vilnay – Senior Lecturer in Structural Engineering, Chartered Engineer, and Senior Fellow of the Higher Education Academy. 📺 Watch the full Stiffness Method playlist here: http://bit.ly/3VuvFfk 🔔 Subscribe for the complete series and more tutorials in structural analysis. #StiffnessMethod #DirectStiffnessMethod #BeamAnalysis #FlexibilityMethod #StructuralAnalysis #EulerBernoulli #FiniteElementMethod #CivilEngineering #StructuralEngineering #MATLAB #Octave #EngineeringStudents #EngineeringTutorials