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Sollicitations composées; torsion + Flexion; Détermination du diamètre des arbres de transmission

6ème Mécanique Auto - Résistance des matériaux (RDM)

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Sollicitations composées; torsion + Flexion; Détermination du diamètre des arbres de transmission

Domaine	Professionnel	Sous domaine	Professionnel
Section	Technique	Option	Mécanique Auto
Discipline	Résistance des matériaux (RDM)	Classe	6ème
Matériel didactique	un arbre de transmission	Auteur	SCHOOLAP.COM
Objectif opérationnel	l'élève sera capable de calculer le diamètre d'un arbre de transmission
Réference	R. Basquin, Livre de RDM, p.285
Activité initiale
RAPPEL Quels sont les organes mécaniques qui peuvent subir à la fois la torsion et la flexion? MOTIVATION Dans le cas de la flexion, comment avions-nous calculer le diamètre de l'arbre? ANNONCE SU SUJET Aujourd'hui nous allons étudier la détermination du diamètre des arbres de transmission tordues et fléchis		RAPPEL Nous avons: - une manivelle pour actionner un moteur thermique - Un arbre de transmission chargé MOTIVATION Le diamètre de l'arbre était calculé en fonction de la condition de résistance . ANNONCE SU SUJET Aujourd'hui nous allons étudier la détermination du diamètre des arbres de transmission tordues et fléchis
Activité principale
		Considérons l'arbre de la Fig.4. reposant deux paliers A et B, porte une roue dentée K ainsi que l'un des plateaux d'un manchon d'accouplement M. il est animé par la roue H, solidaire de l'arbre O₂ entraîné par un mouvement de rotation uniforme. cet arbre est sollicité par les forces ci-après: le poids propre de la roue K le poids du plateau et l'arbre (négligeable) l'effort tangentiel F exercé par les dents de la roue H sur la roue K. les réactions R_A, R_B des paliers.
Synthèse
Comment calcule t-on le diamètre de l'arbre?		Pour calculer le diamètre de l'arbre, on utilise la formule suivante

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