Advanced Charge Case
Fixed-Fixed Poutre Point Charge Fleche Calculatrice
Estimate reactions, end moments, fleche, effort tranchant, et bending response pour a fixed-fixed poutre sous a point charge.
Use meters pour geometry, kN pour point charge, GPa pour E, et cm^4 pour I.
Calculation Entrees
Poutre Diagram
Calculation Basis
Assumptions & Limits
- The model represents 2D bending response only et does not include torsion.
- Appuis are idealized as analytical boundary conditions.
- Construction stages, nonlinearity, et settlement effects need a more detailed model.
Reference Basis
- Documentation: Advanced poutre methodologie
- Documentation : revue technique
- Matrix rigidite method references
- Elastic poutre theory references pour validation checks
Exemples de validation
Ces cas de controle montrent comment les pages principales se comparent a des references elastiques classiques ou a des cas symetriques simples.
Reference charge ponctuelle au milieu sur poutre encastree-encastree
Case setup
L = 5.0 m, P = 12.0 kN at mid-span, E = 210 GPa, I = 6200 cm^4
Validated metric
Fleche maximale
Reference
Resultat de reference: 0,60 mm
Calculator
Resultat du calculateur: 0,60 mm
Check
Ecart: 0,00%
Reference: formule classique delta_max = P L^3 / (192 E I)
Effort tranchant Force Diagram
Bending Moment Diagram
Resume de la reponse
| Left fixity | V = 6.00 kN, M = 7.50 kN*m |
| Right fixity | V = 6.00 kN, M = -7.50 kN*m |
Calculation Method
Beam model
Forme generale
K d = F
Modele actuel
Supports: Left fixity @ 0.00 m, Right fixity @ 5.00 m. E = 210.0 GPa, I = 6,200 cm^4.
Resultat
Euler-Bernoulli beam with fixed end restraints
Load setup
Forme generale
F = F_point + F_distributed
Modele actuel
P = 12.00 kN @ 2.50 m. No distributed load.
Resultat
Max deflection = 0.60 mm
Internal response
Forme generale
M(x) = E I y''(x), V(x) = dM/dx
Modele actuel
Max |M| = 7.50 kN*m, max |V| = 6.00 kN.
Resultat
Reactions solved at 2 support locations
Hypotheses du modele
- Both poutre ends are fully fixed in rotation et vertical displacement.
- The point charge acts vertically at the selected coordinate.
- The model assumes constant E et I along the member.
Outils associes
- This page addresses fixed-fixed poutre behavior directly instead of approximating it avec a simply supported poutre et correction factors.
- Because the appui restraints are explicit, the solveur also returns fixed-end reaction moments rather than only vertical reactions.
- Real end fixity may be lower than ideal full fixity, so connection flexibility should still be judged separately.