Fixed-End Moment (UDL)
Fixed-End Moment (UDL)
Building in the ends of a beam develops end moments that share the load with the span — the basis of continuous-beam analysis.
The fixed-end moment for a UDL is M = wL²/12. where w is the distributed load and L the span.
Inputs
w := 10 kN/m=10000 kg/s^2
L := 5 m=5 m
Apply the fixed-end moment formula for a UDL.
M := w·L^2/12=20833.33 Nm
Results
The end moment is two-thirds of the simple-span mid-span moment, and it reduces the positive moment in the span — why fixed beams carry more than simply supported ones.
Assumptions & limitations
- Both ends fully fixed.
- Prismatic beam, elastic behaviour.
- Uniform load over the span.