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This lecture covers the calculation of the moment of inertia and the position of the neutral axis for a beam section, essential for determining the maximum stress in a beam under bending. It explains the relationship between stress and bending moment, the significance of the quadratic moment, and the process of finding the centroid and moment of inertia. Through examples, the instructor demonstrates how to decompose complex shapes into simpler forms to calculate the complete moment of inertia. The lecture also discusses the elastic section modulus and the maximum distance from the neutral axis, providing a comprehensive understanding of beam behavior under uniform loads.