← Verification — Linear (Frames & Trusses)
V1.4 — Two-span continuous beam, uniform load
ExactDescription
A beam continuous over three supports (two equal spans) under a uniform load — a statically indeterminate case with a shared centre support.
Reference
Standard two-span continuous beam formulas (closed form): Rend = 3wL/8, Rcentre = 5wL/4, Mcentre = −wL²/8.
Model
A single elastic frame line over three supports, pinned at both outer ends and at the shared centre support, meshed 8 elements per span, under a uniform load along the full length.
| Uniform load, w | 0.1 kip/in |
| Span length | 240 in (each of 2 spans) |
| Elastic modulus, E | 29,000 ksi |
| Section width, b | 12 in |
| Section depth, d | 24 in |
| Moment of inertia, I | 13,824 in⁴ |
| Elements per span | 8 |
Comparison
| Quantity | Reference | vfopro | % diff | Status |
|---|---|---|---|---|
| End reaction, left (kip) | 9 | 9 | -0.00% | Exact |
| End reaction, right (kip) | 9 | 9 | -0.00% | Exact |
| Centre support reaction (kip) | 30 | 30 | 0.00% | Exact |
| Centre support moment, hogging (kip-in) | 720 | 720 | 0.00% | Exact |
| Span-1 midspan deflection (in) | -0.0043 | -0.0043 | -0.00% | Exact |
| Centre support deflection (in) | 0 | 0 | n/a | Exact |
Conclusion
Every reported quantity matched the closed-form value to at least 6 significant figures.
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Last updated September 22, 2026 · applies to vfopro 20260922.0.0 or later