Cantilever — UDL

Compute max moment and free-end deflection of a cantilever under full-span UDL.

Inputs

Formula

Mmax = w L²/2; δ = w L⁴/(8EI)
固定端M_max = w L² / 2, δ = w L⁴ / 8EI
Cantilever — UDL schematic

How to use

  1. Fill in Length L, UDL w, Young's mod. E, Moment of inertia I in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read Max moment Mmax, Free-end defl. δ in the results area.
Formula notesCantilever with UDL w: fixed-end moment M = w·L²/2, deflection δ = w·L⁴/(8EI).