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FE Review: Statics - Problem 18

Global Reaction Determination in a Loaded Beam A loaded beam subject to a distributed load totaling 15 is analyzed using moment equilibrium and force balance. The moment equation yields a reaction force of 15.9 while vertical equilibrium determines the opposing force as 6.1. These calculated reactions provide the necessary boundary conditions for understanding the beam's structural response.

Shear Diagram Analysis Uncovers the Peak Bending Moment The shear force diagram is constructed by tracking abrupt changes: an initial level of 6.1, a descent by 15, and a subsequent rise of 15.9 that forms a clear inflection point. Calculating the area of the resulting segments establishes that the bending moment increases to a peak exactly at the end of the distributed load. This rigorous evaluation dismisses misleading intermediate values and precisely identifies the location of maximum bending moment.