🏗️ Beam Deflection (2D)

Max deflection δ—
Max moment M—
Max shear V—
EI—
Stiffness EI/L³—
Euler-Bernoulli Beam
SS centre load: δ = PL³/(48EI)
SS any point: δ = Pa²b²/(3EIL)
Cantilever tip: δ = PL³/(3EI)
Fixed-fixed centre: δ = PL³/(192EI)
UDL simply supp.: δ = 5wL⁴/(384EI)