Lecture
This lecture demonstrates how to calculate the centroid and second moment of area of complex shapes using integration and the parallel axis theorem. The instructor explains the process step by step, showing how to break down the shape into simpler components, calculate individual centroids, and then combine them to find the overall centroid. The lecture also covers the application of these concepts to practical examples, such as calculating the bending moment of a steel beam. Additionally, the instructor discusses the relationship between shear forces, moments, and normal stresses in beams, providing insights into analyzing beam behavior under different loading conditions.