Beam Analysis — SFD / BMD / Deflection

Structural Analysis

Beam Analysis Calculator

Reactions Shear Force Diagram Bending Moment Diagram Deflection Simply Supported · Cantilever · Propped

Beam Configuration

Support Conditions

Span L (m)

Flexural Stiffness EI (kN·m²)

EI = E × I. For deflection only. Examples: Steel UB200 ≈ 3 500 kN·m², Steel UB310 ≈ 22 000 kN·m², GL LVL 200×63 ≈ 500 kN·m². (E in kPa = kN/m², I in m&sup4;; or E in kN/m² × I in m&sup4;)

Applied Loads

Downward forces and clockwise moments are positive. x measured from left end (A). All loads in kN / kN/m / kN·m.

Support Reactions

Beam & Loading Diagram

Shear Force Diagram

Bending Moment Diagram

Deflection Diagram

Key Values Summary

Assumptions & Method

Linear elastic analysis. Prismatic beam (constant EI).
Shear force and bending moment computed by numerical integration along the beam (1000 stations).
Deflection computed by double integration of M/EI with boundary conditions enforced per beam type.
Sign convention: downward loads positive; sagging moment positive; upward deflection positive (plotted downward).
Propped cantilever solved by superposition: RB calculated to enforce zero deflection at B.

Disclaimer: This tool is provided for preliminary analysis only. Results must be verified by a qualified structural engineer before use in construction. No warranty is given as to accuracy or fitness for purpose.