Learn how to use the Beam Solver app

Watch the complete walkthrough for setting spans, supports, loads, units, and reading the shear, moment, slope, and deflection results.

Watch tutorial

Multi-Span Beam Solver

Downward loads are positive. Any number of spans. Results via Euler–Bernoulli 1D beam FE (2 dof/node: v, θ).

Beam, Material & Mesh

Length unit Force unit Force per length and moments are derived: e.g. kN/m and kN·m.

Spans L_i (m), comma-separated per span

I per span — separate by commas if non-prismatic Global elements (total) Exactify outputs Beam Figure Mode (P₁, w₁/w₂, M₁ & distances a, b, c…) Hide I dimensions under the beam

Loads

Convention: P and w are downward positive. Distances are local to the chosen span and use the global length unit (m); forces use the global force unit (kN).

Beam Sketch

The shear, moment, slope, and deflection diagrams are shown below.

Evaluate at x

Enter a global x measured from the left end of the beam, or drag the slider. The span is detected automatically.

x (m) Span

x_local (m) —

V (kN) —

M (kN·m) —

θ (rad) —

δ (mm) —

The slider activates once the beam is solved.

Point Evaluation (V, M, θ, δ at user points)

Probe Results

Span	x (m)	V (kN)	M (kN·m)	θ (rad)	δ (mm)	Exact V	Exact M	Exact θ	Exact δ

Results

Left Support

R_left (kN), M_left (kN·m)

— / —

Right Support

R_right (kN), M_right (kN·m)

— / —

Max Deflection

δ_max (mm) @ x (m)

—

Stations (supports + midspans)

x (m)	V (kN)	M (kN·m)	δ (mm)