Understanding the Deflection of Beams
22:14
MSNThe Efficient Engineer
Understanding the Deflection of Beams
In this video I take a look at five methods that can be used to predict how a beam will deform when loads are applied to it. These are the double integration method, Macaulay's method, the principle of superposition, the moment-area method, and Castigliano's theorem, which is based on strain energy.
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BEAM DEFLECTION 1. What is Deflection? Beam deflection is the vertical displacement of a beam when a load is applied. It indicateshow much a beam bends under loading. 2. Factors Affecting Deflection • Load intensity (W or w) • Span length (L) • Material property (E – Modulus of Elasticity) • Beam size & shape (I – Moment of Inertia) • Support conditions 3. Important Deflection Formulas Cantilever Beam – Point Load at Free End: δ = (W L³) / (3EI) Cantilever Beam – UDL: δ = (w L4) / (8EI) Simply S
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