Beam Deflection

Cantilever et simply-supported beams; point et UDL loads

About this tool

Closed-form deflection, slope, max moment and shear for cantilever and simply supported beams under point or uniformly distributed load.

Section

Pick rectangle b×h, solid circle d, hollow circle d_o/d_i, or supply your own second moment I.

Examples

  • Cantilever, point P at tip: y_max = PL³ / (3EI).
  • Cantilever, UDL w: y_max = wL⁴ / (8EI).
  • SS beam, point P at midspan: y_max = PL³ / (48EI).
  • SS beam, UDL w: y_max = 5 wL⁴ / (384 EI).