Advanced Charge Case
Calculatrice de fleche de poutre pour 3 Point Charges
Analyze a simply supported poutre avec three discrete point charges, including reactions, fleche, effort tranchant, et moment diagrams.
Use meters pour geometry, kN pour point charges, 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 = 11.00 kN |
| Right support | V = 11.00 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 = 4,500 cm^4.
Resultat
Linear superposition of three point-load responses
Load setup
Forme generale
F = F_point + F_distributed
Modele actuel
P1 = 6.00 kN @ 1.20 m; P2 = 10.00 kN @ 3.00 m; P3 = 6.00 kN @ 4.80 m. No distributed load.
Resultat
Max deflection = 8.01 mm
Internal response
Forme generale
M(x) = E I y''(x), V(x) = dM/dx
Modele actuel
Max |M| = 22.20 kN*m, max |V| = 11.00 kN.
Resultat
Reactions solved at 2 support locations
Hypotheses du modele
- The poutre is simply supported at both ends.
- All three point charges act vertically in the same plane.
- The model is linear elastic et based on Euler-Bernoulli poutre theory.
Outils associes
- This page solves the combined response of three point charges on one portee rather than forcing the user into repeated single-charge calculations.
- The response is assembled through a reusable advanced poutre solveur, so reactions et internal force diagrams stay coherent even when the three charges are asymmetric.
- If the real poutre includes partial fixity, torsion, or large deformation effects, this one-dimensional elastic model should be treated as a preliminaire check.