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Multi-travees Appui

2-Portee Continuous Calcul de poutre

Solve pour reactions et internal forces in a two-portee continuous member using finite element analysis.

Use meters pour geometry, kN pour point charge, kN/m pour UDL, GPa pour E, et cm^4 pour I.

Calculation Entrees
Poutre Diagram
PPortee
Fleche maximale1.02 mm
Moment maximal14.80 kN*m
Effort tranchant maximal18.79 kN
Appui reactions3
Calculation Basis
Method1D rigidite method pour indeterminate poutre systems
ScopeHyperstatique et multi-portee preliminaire poutre checks
ReviewRevision technique : 2026-04-15

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

Effort tranchant Force Diagram
18.79 kNx = L
Bending Moment Diagram
14.80 kN*mx = L
Resume de la reponse
LV = 12.38 kN
CenterV = 33.25 kN
RV = 6.37 kN
Calculation Method

Beam model

Forme generale

K d = F

Modele actuel

Supports: L @ 0.00 m, Center @ 4.00 m, R @ 8.00 m. E = 210.0 GPa, I = 8,560 cm^4.

Resultat

Euler-Bernoulli beam under linearly varying distributed load

Load setup

Forme generale

F = F_point + F_distributed

Modele actuel

P = 12.00 kN @ 2.00 m. w: 5.00 to 5.00 kN/m over 0.00-8.00 m.

Resultat

Max deflection = 1.02 mm

Internal response

Forme generale

M(x) = E I y''(x), V(x) = dM/dx

Modele actuel

Max |M| = 14.80 kN*m, max |V| = 18.79 kN.

Resultat

Reactions solved at 3 support locations

Hypotheses du modele
  • The member is continuous over a central appui.
  • Appuis are located at 0, L/2, et L.
  • Linear elastic material response is assumed throughout.
Outils associes
  • Continuous poutres redistribute moments into the appuis, allowing pour longer spans or smaller sections compared to simple spans.
  • A uniform charge is applied over the full length of both spans in this configuration.
  • Appui settlement effects are not included in this basic elastic model.