Stiffness Method | Lecture 9-1 Indeterminate Beam Analysis + Full MATLAB Octave Coding Example

Lecture 9 Part 1 in the Stiffness Method series presents a complete, start-to-finish coding example for analysing an indeterminate beam using the direct stiffness method. Building on the theory and implementation covered in previous lectures, this lecture shows how to implement the full beam-analysis workflow in MATLAB/Octave — from element definition and stiffness assembly through to solving for displacements and recovering support reactions. In this lecture, we cover: ✅ Full beam-analysis workflow using the stiffness method ✅ Defining beam nodes, elements, and connectivity ✅ Assigning material and section properties ✅ Formulating beam element stiffness matrices ✅ Assembly of the global stiffness matrix ✅ Creating the global load vector ✅ Applying support boundary conditions ✅ Solving for unknown nodal displacements and rotations ✅ Recovering support reactions ✅ Interpreting beam behaviour and structural response ✅ Clean reporting of numerical output for engineering interpretation and validation using FTool ✅ Step-by-step MATLAB/Octave implementation This example demonstrates how the stiffness method can be used to analyse indeterminate beam structures in a systematic and reliable way. Once the workflow and coding structure are understood, the same approach can be extended to much more advanced structural systems. 🧮 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 playlist here: http://bit.ly/3VuvFfk 🔔 Subscribe for more structural-analysis lectures and tutorials #StiffnessMethod #DirectStiffnessMethod #BeamAnalysis #IndeterminateBeam #StructuralAnalysis #GlobalStiffnessMatrix #FiniteElementMethod #CivilEngineering #StructuralEngineering #MATLAB #Octave #EngineeringStudents #EngineeringTutorials #EngineeringMechanics #BeamDeflection #StructuralEngineeringEducation #MatrixStructuralAnalysis #StructuralEngineeringLectures