How to Calculate Beam Deflections & Slopes Using Double Integration Method
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How to Calculate Beam Deflections & Slopes Using Double Integration Method
This video shows how you can calculate beam deflections using the double integration method. 1/R = M/EI: https://youtu.be/lkCXicMXcy4 How to Derive Bending Equation aka Flexural Formula: https://youtu.be/lkCXicMXcy4 Strain (ε), Stress (σ) and Radius of Curvature (R): https://youtu.be/rDbtM4H0ig0 R - Radius of curvature dy/dx - Slope M ...
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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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