5.0 Centroids and moment of inertia - every beam problem starts here

Every beam bending and deflection calculation relies on two fundamental geometric properties: the Centroid and the Moment of Inertia (Second Moment of Area). In this tutorial, we break down: • What the centroid actually represents physically • How to locate the neutral axis of composite shapes • Step-by-step calculation of the Moment of Inertia using the Parallel Axis Theorem • Why getting these two values right is essential before solving any bending stress or deflection problem Timestamps: 0:00 - Introduction: Why Geometry Matters 1:15 - What is a Centroid? 3:30 - Locating the Neutral Axis 6:10 - Calculating Moment of Inertia ($I_x$ & $I_y$) 8:45 - Applying the Parallel Axis Theorem 10:00 - Key Takeaways & Common Mistakes #Momentofinertia #structuralengineering #beambending #statics #CivilEngineering #MechanicsOfMaterials