Beam Analysis Calculator
Estimate deflection, reactions, shear, and bending moment for common one-span beam cases with immediate visual feedback.
Switch between metric and imperial inputs while keeping the same elastic beam model.
Assumptions & Limits
- Linear-elastic behavior with small deflection assumptions.
- Constant member stiffness E and I along the span.
- Does not replace project-specific code checks or connection design review.
Reference Basis
- Documentation: Methodology
- Documentation: Engineering Review
- Roark's Formulas for Stress and Strain
- Mechanics of Materials references
These check cases show how key pages compare against known elastic beam benchmarks or symmetric reference cases.
Simply Supported UDL
L = 6.0 m, w = 5.0 kN/m, E = 210 GPa, I = 8500 cm^4
Maximum deflection
Reference result: 4.73 mm
Calculator result: 4.73 mm
Difference: 0.00%
Benchmark: closed-form simple-span UDL formula
Cantilever Point Load
L = 3.0 m, P = 8.0 kN at a = 3.0 m, E = 210 GPa, I = 3200 cm^4
Free-end deflection
Reference result: 10.71 mm
Calculator result: 10.71 mm
Difference: 0.00%
Benchmark: cantilever point-load formula
- Fast one-span checks where you need deflection, support reactions, shear, and bending moment in one screen.
- Early sizing studies before you move into a project-specific code check or a full frame model.
- Teaching, QA, and hand-check comparison when the load case still fits classic Euler-Bernoulli beam formulas.
If the beam has continuity, end restraint, or a prop, switch to the dedicated 1D stiffness-method pages below. Those cases are not reduced to the single-span formulas used in the basic beam analysis calculator.
| 1. Pick the support model | Use the one-span solver for cantilever or simply supported beams only. |
| 2. Set span, E, and I | Section stiffness usually drives the result more than anything else in early serviceability checks. |
| 3. Run the load case | Point load and full-span UDL cover the fastest screening cases. |
| 4. Compare the result | Use the deflection output against L/360, project criteria, or the next sizing iteration. |
- Does this beam analysis calculator handle indeterminate beams? Not on this page. The basic solver is for standard one-span cases. Use the continuous, fixed-fixed, or propped-cantilever pages when restraint or multiple supports control the response.
- Is this page only for beam deflection? No. It also returns reactions, shear, and bending moment, so it works as a compact preliminary beam analysis calculator rather than a deflection-only widget.
- When should I stop using a closed-form beam page? Move on when the real member has continuity, staged loading, changing stiffness, multiple concentrated loads that need a dedicated setup, or design checks tied to a project code workflow.