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Beam Formula. If I am given a formula and I am ignorant of its meaning, it cannot teach me anything; but if I already know it, what does the formula teach me? - Saint Aurelius Augustine. Beam Formula. Shear and moment diagrams Simple beam (uniformly distributed load)

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## Beam Formula

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**Beam Formula**If I am given a formula and I am ignorant of its meaning, it cannot teach me anything; but if I already know it, what does the formula teach me? - Saint Aurelius Augustine**Beam Formula**• Shear and moment diagrams • Simple beam (uniformly distributed load) • Reaction force formula • Maximum moment formula • Simple beam (concentrated load at center) • Reaction force formula • Maximum moment formula**Beam Formulas**• Similar loading conditions = similar shear and moment diagrams • Standard formula can represent the magnitude of shear and moment based on loading condition • Magnitude of shear and bending moment depend on • Span length of beam • Magnitude of applied load • Location of applied load**Shear and Moment DiagramsSimple Beams (Uniformly Distributed**Load) Uniform load = 1200 lb/ft L = 35 ft Uniform load = 1000 lb/ft L = 20 ft**Reaction Force Formula**w B A L Beam Diagram**Reaction Force Formula**B A RA RB L**Reaction Force Formula**w L B + A RA RB Since**Maximum Moment Formula**w L B A Shear Moment**Beam FormulaSimple Beam (Uniformly Distributed Load)**w B A L Beam Diagram (at center) (at center)**Your TurnSimple Beam (Concentrate Load at Center)**Find a formula for the end reaction forces and for the maximum moment for a simply supported beam with a single concentrated load, P, applied at center span. P L**Beam FormulaSimple Beam (Concentrated Load at Center)**P (at point of load) L (at point of load)**Beam Formula**• Shear and moment diagrams • Simple beam (uniformly distributed load) • Reaction force formula • Maximum moment formula • Simple beam (concentrated load at center) • Reaction force formula • Maximum moment formula

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