🏗️ Beam Deflection

Beam type: Load type: Beam length L (m): 8.0 Load P (kN) / w (kN/m): 100 Load position a/L: 0.50 Young's modulus E (GPa): 200 Second moment I (cm⁴): 8000

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)