Bending Moment RechnerFormel

## Maximum Bending Moment for a Simply Supported Beam

Under a uniform load, the moment diagram is parabolic with its peak at midspan.

### Formulas

**M_max = w L^2 / 8** (at midspan)

**V_max = w L / 2** (at the supports)

These are the most fundamental results in structural analysis and form the starting point for beam design.

Lösungsbeispiel

A 6 m simply supported beam carrying 10 kN/m.

  1. M_max = 10 x 6^2 / 8 = 10 x 36 / 8 = 45 kN-m
  2. V_max = 10 x 6 / 2 = 30 kN