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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SOLVED:Find the tip deflection of the cantilever beam shown in Fig. 12.22 when a vertical load of P=500  N is applied at point Q using (a) a one-element approximation and (b) a two-element approximation. Assume l=0.25  m, h=25  mm, b=50  mm, E=2.07 ×10^11  Pa, and k=10^5  N / m.
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