Beam Bending: Theory and Applications

This lecture covers the theory of beam bending, starting with historical figures like Galileo, Bernoulli, and Euler, and progressing to the analysis of beam deflection, forces, and moments. The instructor explains the concept of curvature, the relationship between moment and curvature, and the calculation of bending stiffness. The lecture also delves into the moments of inertia for different beam shapes, such as rectangles, circles, and ellipses. The importance of understanding the moment-curvature relation for beam design and the implications of distributed loads on beam deflection are discussed in detail.