Structurel Case
Propped Cantilever Fleche Calculatrice
Analyze a poutre fixed at one end et pinned at the other (propped cantilever) sous point or uniform loading.
Use meters pour geometry, kN pour point charge, kN/m pour UDL, 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
Effort tranchant Force Diagram
Bending Moment Diagram
Resume de la reponse
| Left fixity | V = 13.91 kN, M = 14.77 kN*m |
| Right support | V = 7.34 kN |
Calculation Method
Beam model
Forme generale
K d = F
Modele actuel
Supports: Left fixity @ 0.00 m, Right support @ 4.50 m. E = 210.0 GPa, I = 4,500 cm^4.
Resultat
Euler-Bernoulli beam under linearly varying distributed load
Load setup
Forme generale
F = F_point + F_distributed
Modele actuel
P = 10.00 kN @ 2.25 m. w: 2.50 to 2.50 kN/m over 0.00-4.50 m.
Resultat
Max deflection = 1.48 mm
Internal response
Forme generale
M(x) = E I y''(x), V(x) = dM/dx
Modele actuel
Max |M| = 14.76 kN*m, max |V| = 13.67 kN.
Resultat
Reactions solved at 2 support locations
Hypotheses du modele
- The left appui is a full rotation-resistive fixity.
- The right appui is a simple vertical pin/roller.
- Elastic member behavior using 1D Finite Element Analysis.
Outils associes
- This is a classic statically indeterminate poutre. The reactionary force at the prop reduces the mid-portee fleche compared to a pure cantilever.
- Moment d'encastrement is calculated precisely using the rigidite matrix method.
- Verify the actual rotational rigidite of the 'fixed' end in reality, as partial fixity is courant.