Video: Deflection of a Beam
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Video: Deflection of a Beam
614 Views. Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation. Singularity ...
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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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