Beam Analysis: Distributed Loads and Internal Forces

This lecture focuses on the analysis of beams under distributed loads, a critical aspect of structural mechanics. The instructor begins by reviewing previous concepts related to beams, emphasizing the differences between beams and bars. The lecture covers the internal load diagrams, which illustrate the internal forces and moments acting on beams. The instructor explains how to compute these internal loads when multiple concentrated forces are applied at various positions along the beam. The discussion then transitions to distributed loads, detailing how to replace these with equivalent resultant forces acting at specific points. The lecture also introduces differential relations between internal shear forces and moments, providing a mathematical framework for analyzing beams under various loading conditions. The instructor emphasizes the importance of boundary conditions in determining internal forces and moments, illustrating these concepts with examples. The session concludes with a summary of the key points discussed, setting the stage for future topics on non-straight beams and frames.