Beam calculator

Beam Calculator — Reactions, SFD & BMD (MathJax v2)

Select beam support & loading case, enter span and loads. Stepwise formulas appear below rendered with MathJax (v2).

Beam support type Simply Supported (SS) Cantilever (Fixed at left) Both Ends Fixed Propped Cantilever (one end fixed, other supported) Load case Point load (P) at position a from left Central point load (P at mid-span) Uniformly distributed load (w) over whole span Triangular load (zero at left, max at right) Point load + UDL Concentrated end moment (M) at left Span length (L) Load magnitude (P or w) — enter value then choose units Load units kN / m or kN N / m or N Point load position a (from left) For combined: UDL w (if any)

Schematic

Shear & Moment Diagrams (approx)

Formula / Steps