Advanced Charge Case
Triangular Charge Calculatrice de fleche de poutre
Estimate fleche, reactions, effort tranchant, et bending moment pour a simply supported poutre sous a full-portee triangular charge.
Use meters pour geometry, kN/m pour the peak triangular 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
Effort tranchant Force Diagram
Bending Moment Diagram
Resume de la reponse
| Left support | V = 7.00 kN |
| Right support | V = 14.00 kN |
Calculation Method
Beam model
Forme generale
K d = F
Modele actuel
Supports: Left support @ 0.00 m, Right support @ 6.00 m. E = 210.0 GPa, I = 4,800 cm^4.
Resultat
Euler-Bernoulli beam under linearly varying distributed load
Load setup
Forme generale
F = F_point + F_distributed
Modele actuel
No discrete point loads. w(x): 0.00 to 7.00 kN/m over 0.00-6.00 m.
Resultat
Max deflection = 5.87 mm
Internal response
Forme generale
M(x) = E I y''(x), V(x) = dM/dx
Modele actuel
Max |M| = 16.18 kN*m, max |V| = 13.14 kN.
Resultat
Reactions solved at 2 support locations
Hypotheses du modele
- The poutre is simply supported at both ends.
- The triangular charge ramps from zero at the left end to the peak value at the right end.
- The model is linear elastic avec constant member rigidite.
Outils associes
- This page captures a courant charge pattern that generic uniform-charge calculators miss: one-way ramps such as pressure buildup, fill, or tapered tributary loading.
- The solveur resolves reactions et diagrams directly from the triangular charge rather than replacing it avec an equivalent uniform shortcut in the UI.
- If the real triangular charge is partial, reversed, or combined avec multiple other charge patterns, it should be modeled separately or through a more general poutre analysis outil.