Multi-Span Support
Zweifeldträger-Rechner
Loesen Sie Reaktionen und Schnittgroessen fuer einen zweifeldrigen Träger mittels Finite-Elemente-Analyse.
Use meters for geometry, kN for point load, kN/m for UDL, GPa for E, and cm^4 for I.
Calculation Inputs
Beam Diagram
Berechnungsgrundlage
Assumptions & Limits
- Das Modell bildet nur 2D-Biegeverhalten ohne Torsion ab.
- Lager werden als idealisierte Randbedingungen angesetzt.
- Fuer Bauzustand, Nichtlinearitaet oder Setzungen ist eine weitergehende Modellierung noetig.
Reference Basis
- Dokumentation: Methodik fuer Advanced Beams
- Dokumentation: Engineering Review
- Matrix-Stiffness-Method Referenzen
- Elastische Balkentheorie fuer Plausibilitaetschecks
Shear Force Diagram
Bending Moment Diagram
Response Summary
| L | V = 12.38 kN |
| Center | V = 33.25 kN |
| R | V = 6.37 kN |
Calculation Method
Beam model
Allgemeine Form
K d = F
Aktuelles Modell
Supports: L @ 0.00 m, Center @ 4.00 m, R @ 8.00 m. E = 210.0 GPa, I = 8,560 cm^4.
Ergebnis
Euler-Bernoulli beam under linearly varying distributed load
Load setup
Allgemeine Form
F = F_point + F_distributed
Aktuelles Modell
P = 12.00 kN @ 2.00 m. w: 5.00 to 5.00 kN/m over 0.00-8.00 m.
Ergebnis
Max deflection = 1.02 mm
Internal response
Allgemeine Form
M(x) = E I y''(x), V(x) = dM/dx
Aktuelles Modell
Max |M| = 14.80 kN*m, max |V| = 18.79 kN.
Ergebnis
Reactions solved at 3 support locations
Model Assumptions
- The member is continuous over a central support.
- Supports are located at 0, L/2, and L.
- Linear elastic material response is assumed throughout.
Related Tools
- Continuous beams redistribute moments into the supports, allowing for longer spans or smaller sections compared to simple spans.
- A uniform load is applied over the full length of both spans in this configuration.
- Support settlement effects are not included in this basic elastic model.