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

Deflection of beam example - Double Integration method

This image shows maximum slope and deflection formulas for beams under different loading and support conditions. Here’s an explanation of each part: Columns in the Table Images – Shows the beam type and load condition. Max Slope (θ) – Maximum angular rotation (slope) of the beam due to bending. Max Deflection (y) – Maximum vertical displacement of the beam. E → Modulus of Elasticity of the beam material I → Moment of Inertia of the beam cross-section L → Length of the beam P → Point Load p → Uni