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DETERMINATION DU MOMENT FLECHISSANT: POUTRE AVEC CHARGE REPARTIE
Domaine Professionnel Sous domaine Professionnel
Section Technique Option Mécanique
Discipline CONSTRUCTION METALIQUE Classe 6ème
Matériel didactique poutre, craies de couleur Auteur SCHOOLAP.COM
Objectif opérationnel Lélève devra être capable de tracer le graphique du moment fléchissant et les réaction d'appui
Réference livre de graphostatique R Thibaut P. 30
Activité initiale

RAPPEL

qu'avions nous étudié la fois passée?

MOTIVATION

Quel type de charge peut on avoir sur une poutre?

ANNONCE DU SUJET

Aujourd'hui nous allons étudier

RAPPEL

La fois passée nous avions étudié la détermination du moment fléchissant dans une poutre

ANNONCE DU SUJET

sur la poutre, on peut avoir une charge locale (potentielle), ou une charge repartie. 

ANNONCE DU SUJET

Poutre avec charge repartie

Activité principale

 

quand est ce qu'une poutre à une charge repartie?

I.3  POUTRE AVEC CHARGE REPARTIE

I.3.1.  Principe

quand les charges sont reparties uniformément; la ligne polygone du diagramme des µ est remplacée par une succession d'arcs parabolique du second degré . 

on remplace les charges reparties par des charges locales appliquées au centre. pour éviter de confusion ces charges charges seront dessinées en pointillé et désignées par q1,q2...

on trace le polygone des forces et le polygone funiculaire acdeb. le côté ac, cd, de et eb sont tangente aux arcs parapoliques.

les cordes des arcs paraboliques seront ax,xy,yb. 

on obtint a,x,y,b en traçant les verticales aux changements de valeurs des charges reparties. connaissant les cordes et les tangentes, aux extrémités, on peut construire les arcs paraboliques. 

LF ll Lp.

lLF=ligne de fermeture

Lp=ligne polaire 

remarque: le point Z de l'arc de parabole situé sous q1 est le milieu du segment verticale cc'. 

conclusion

en résumé:

  1. remplacer les charges reparties par des charges locales
  2. tracer le funiculaire des charges locales: ce sont les tangente
  3. tracer les cordes
  4. tracer les arcs successifs (on connait les cordes et les tangentes)
Synthèse

Qu'avons nous étudié?

Nous venons d'étudier la Poutre avec charge repartie

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