Inputs
Set spans + UDL per span. Tool builds Three-Moment equations and solves continuous beam reactions/support moments. Pinned ends.
| Span | L (m) | w (kN/m) |
|---|
Method — Three Moment Theorem
- For UDL spans, three-moment eqn: M(i-1)·L(i-1) + 2·M(i)·(L(i-1)+L(i)) + M(i+1)·L(i) = -w(i-1)·L(i-1)³/4 − w(i)·L(i)³/4.
- End moments at pinned supports = 0.
- Solve linear system for interior support moments, then back out reactions.
Results
N spans—
Support moments—
Reactions—
Mmax (interior)—