Stiffness Method | Lecture 8 Part 2 Beam & Frame Reactions & Internal Forces | MATLAB Coding

📚 In Lecture 8 Part 2 of the Stiffness Method series, we extend the reactions and internal forces topic to beams and frames — completing the stiffness method formulation for all structural types. Following directly from Lecture 8 Part 1 (Truss Reactions & Internal Forces), this lecture applies the same principles to continuous beams and portal frames, showing how to recover both support reactions and member internal forces using displacement results. In this lecture, we will cover: ✅ Deriving and applying the reaction equation for beams and frames ✅ Recovering reactions after solving the stiffness equation ✅ Calculating internal member forces and interpreting the results ✅ Worked example: portal frame under combined loading ✅ MATLAB / Octave coding of the frame stiffness method solution ✅ Checking results for equilibrium and consistency This lecture concludes the stiffness method for structural systems — linking displacements, reactions, and internal forces into a complete computational workflow. 🧮 This series has been developed by Dr Margi Vilnay and Dr Leon Chernin. 👷‍♀️ 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 #Reactions #InternalForces #BeamAnalysis #FrameAnalysis #StructuralAnalysis #GlobalStiffnessMatrix #FiniteElementMethod #CivilEngineering #StructuralEngineering #MATLAB #Octave #EngineeringStudents #EngineeringTutorials #EngineeringMechanics #Displacements #StructuralEngineeringEducation #PortalFrameExample