Bending of Beams: Singularity Functions and Stress Analysis

This lecture delves into the bending of beams, exploring equations to determine shear forces and bending moments, as well as the use of singularity functions to describe continuous functions along the beam's length. The instructor explains how to handle non-continuous functions and demonstrates integration techniques for different scenarios. The lecture progresses to discuss the concept of pure bending and the distribution of stresses in beams, emphasizing the importance of the neutral axis and the second moment of area. Through examples and calculations, the lecture illustrates how to calculate the second moment of area for different cross-sections and introduces the parallel axis theorem for shifting the centroid. The session concludes with a brief mention of upcoming assessments and guidance on accessing past materials for further study.