Introduction to Arrows and Differential Relations

This lecture covers the introduction to arrows in beams, focusing on calculating deflection using differential relations. It explains the deformation of the neutral axis described by the function w(x), the formula for curvature, and the relationship between curvature and deflection. The lecture also discusses the differential relationships between load q(x), shear force v(x), and bending moment m(x). Boundary conditions for determining constants of integration and typical supports are explored, along with the deflection of beams under point forces. The importance of physical directionality in arrows is emphasized.