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This lecture covers the analysis of distributed forces, including how to calculate integrals, replace distributed forces with point forces, and determine reactions and centers of force. The instructor demonstrates the process step by step, emphasizing the importance of not cutting after replacing distributed forces with resultants and highlighting the different methods for solving problems with distributed forces. Various examples are provided to illustrate the concepts, such as calculating reactions to supports, determining shear forces and bending moments, and analyzing edge conditions. The lecture concludes by discussing the continuity and discontinuity of moments and forces in different scenarios.