Beams under nonuniform bending: Shear stresses and shear flow

This lecture covers the analysis of beams under nonuniform bending, focusing on shear stresses and shear flow. The instructor discusses the distribution of shear stresses in rectangular and circular cross-section beams, as well as in built-up beams. Derivations of shear formulas for rectangular beams are presented, along with examples to visualize shear stresses. The lecture also addresses the design of beams for stresses due to flexure, emphasizing the relative efficiency of various beam shapes. Furthermore, the distribution of shear stresses in beams with flanges is explored, highlighting the complexity of shear stress distribution in I-shaped beams. Various examples and calculations are provided to illustrate the concepts discussed.