FLAGSHIP STRUCTURAL SOLVER

Beam Master

Analytical and stiffness-based beam analysis with step-by-step solutions. Calculate reaction forces, plot exact shear and moment curves, and generate client-ready PDF calculation packages.

414/414 regression tests passingNo installation required
Beam Master v1.17Analytical Solver
PHYSICAL MODEL (L = 10.00 m)E = 200 GPa, I = 8.33×10⁻⁵ m⁴
P = 50.0 kN (x = 5.0m)A (Pin)B (Roller)
SHEAR FORCE (SFD)V_max = ±25.0 kN
BENDING MOMENT (BMD)M_max = +125.0 kN·m
SOLVER OUTPUT
EXACT
Support Reaction A:+25.0 kN
Support Reaction B:+25.0 kN
Max Shear (|V|):±25.0 kN
Max Moment (|M|):+125.0 kN·m
Step 1 — Static Equilibrium:

∑F_y = 0 ⟹ R_A + R_B - P = 0

∑M_A = 0 ⟹ R_B(10) - (50)(5) = 0

⟹ R_B = 25.00 kN, R_A = 25.00 kN

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ENGINEERING SPECIFICATIONS

Built for Mathematical Precision

Every calculation routine in Beam Master is built on rigorous structural mechanics principles and cross-validated against 414 regression test cases.

Advanced Determinate & Indeterminate Solving

Solves simply supported, cantilever, propped cantilever, and continuous multi-span beams using stiffness formulations and singularity integration.

Diverse Load & Boundary Types

Supports point loads, uniform distributed loads (UDL), triangular/trapezoidal varying loads (UVL), point couples, internal moment hinges, and elastic spring supports.

Macaulay’s Deflection Integration

Integrates beam curvature twice using Macaulay singularity brackets to compute exact vertical displacement v(x) and rotation θ(x) across any point.

Transparent 11-Step Mathematical Proofs

Step-by-step LaTeX derivations showing static equilibrium equations, boundary value evaluations, and internal polynomial expressions.

Publication-Ready PDF Reports

Generate complete calculation packets featuring high-resolution vector diagrams, summary tables, equations, and customizable project headers.

Cross-Platform Cloud Sync

Access, edit, duplicate, and share structural beam models across desktop, tablet, and mobile browsers instantly.

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