Free Web Tool

Beam Calculator

Shear force, bending moment and deflection for simply-supported and cantilever beams. Add point loads, uniform loads, partial UDL or applied moments — diagrams update live as you type.

Inputs

m
MPa
mm⁴
Sign: downward loads positive. Moments: CCW positive.
Notes & assumptions
  • Linear-elastic, prismatic, small deflection (Euler–Bernoulli).
  • Cantilever is fixed at left support, free at right.
  • Deflection uses unit-aware EI; check unit footer reads "EI ready".
  • Deflection sign: positive = downward.

Results

Reaction Rₐ (left)
Reaction R_b (right)
Max |Shear|
Max |Moment|
Max Deflection
Loading Diagram
Shear Force Diagram (V)
Bending Moment Diagram (M)
Deflection (δ)