Stiffness Method | Lecture 7 Solving the Stiffness Equation & Displacements + MATLAB Frame Example скачать в хорошем качестве

Stiffness Method | Lecture 7 Solving the Stiffness Equation & Displacements + MATLAB Frame Example

📚 In Lecture 7 of the Stiffness Method series, we finally solve the global stiffness equation — the core of structural analysis: 𝐊 · 𝐝 = 𝐅. We bring everything together to compute nodal displacements, reactions, and internal forces, using both manual and MATLAB approaches. In this lecture, we will cover: ✅ Applying boundary conditions (fixed, pinned, and roller supports) ✅ Reducing the stiffness matrix and force vector ✅ Solving for unknown displacements using the reduced system ✅ Reconstructing the full displacement vector ✅ Checking accuracy and global equilibrium ✅ Worked example: 2D portal frame under UDL + point load ✅ MATLAB / Octave coding of the beam / frame stiffness matrix This lecture follows directly from Lecture 6 (Load Vector & Equivalent Nodal Forces) and marks the transition to interpreting structural responses — introducing displacements before moving on to reactions and internal member forces in the next lecture. 👷‍♀️ 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 #SolvingStiffnessEquation #Displacements #GlobalStiffnessMatrix #FrameAnalysis #BeamAnalysis #TrussAnalysis #StructuralAnalysis #FiniteElementMethod #CivilEngineering #StructuralEngineering #MATLAB #Octave #EngineeringStudents #EngineeringTutorials #EngineeringMechanics #PortalFrameExample