Beam Reactions Under a Uniform Distributed Load | Engineering Mechanics: Statics Part 8

Welcome back to Engineering Mechanics: Statics with Prof. Gearfruit Orange from the F.I.T. Department of Mechanical Engineering and Prof. Blueberry Beam from the F.I.T. Department of Civil Engineering. In this episode, we solve our first beam problem with a distributed load. Using the concepts from the previous lesson, we transform a uniformly distributed load into an equivalent point load and then solve for the support reactions using the equilibrium equations. You’ll learn how to: Draw the free body diagram of a loaded beam Replace a uniform distributed load with its equivalent force Locate the centroid of a rectangular load distribution Apply moment equilibrium to determine reactions Use force equilibrium to complete the solution Perform quick engineering checks using symmetry This example introduces a workflow you’ll use repeatedly in structural analysis: replace the distributed load, simplify the problem, then apply equilibrium. By the end of the lesson, you’ll see that distributed-load beam problems are simply standard reaction-force problems once the equivalent load is identified correctly. #EngineeringMechanics #Statics #BeamAnalysis #DistributedLoad #UniformLoad #StructuralEngineering #CivilEngineering #MechanicalEngineering #FreeBodyDiagram #STEM