Deflection in Beams Using Double Integration Method Lecture Video 1
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Deflection in Beams Using Double Integration Method Lecture Video 1
The Double Integration Method is a classical technique in Structural engineering used to calculate the slope and deflection of beams by integrating the bending moment equation twice. On the order hand Double Integration is the process of integrating a function of two variables over a two-dimensional region, often used to calculate areas ...
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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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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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