Académie science d’ingénieur

SUJETS BAC SI 2SMB 2STE 2STM :index

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<span style="color: #1f1507; font-family: "tahoma" , "geneva" , sans-serif;"><span style="background-color: white; font-size: 11px; line-height: 14px;">                                                                               </span></span><span style="background-color: white; color: #1f1507; font-family: "tahoma" , "geneva" , sans-serif; font-size: 11px; line-height: 14px;"> </span><span style="background-color: white; color: #1f1507; font-family: "tahoma" , "geneva" , sans-serif; font-size: 11px; line-height: 14px;"> </span><span style="color: #1f1507; font-family: "tahoma" , "geneva" , sans-serif; font-size: 11px; line-height: 14px;"> </span><u style="color: #1f1507; font-family: Tahoma, Geneva, sans-serif; font-size: 11px; line-height: 14px;">Sujet BAC SI :smb ste stm</u></h2>
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<a href="http://gestc.com/sujets_bac_si/sujets_bac_si.htm" target="_blank">Click ici </a></h2>
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Système ISO de tolérances – Ajustements

12:32 zakariaamid 0

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Système ISO de tolérances – Ajustements </h2>
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1STE 1STM exercice exercices National STE STM TCT Système ISO de tolérances – Ajustements

Système ISO de tolérances – Ajustements

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La chaine d'energie

03:08 zakariaamid 0

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<span style="color: #3d85c6;"><u>La chaine d'energie  TCT</u></span></h2>
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Voire ou telecharger le cours de chaine d'energie par la </div>
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1STE 1STM cours exercice exercices STE STM TCT La chaine d'energie

La chaine d'energie TCT Voire ou telecharger le cours de chaine d'energie par la

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Examen national de science de l'ingénieur Normal 2014 (Sujet+Corriger) Mécanique Maroc

08:44 zakariaamid 0

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Examen national de science de l'ingénieur Normal 2014</h2>
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<span style="font-size: 22.8px;">(Sujet+Corriger) Mécanique Maroc</span></h2>
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1STE 1STM cours exercices National STE STM TCT Examen national de science de l'ingénieur Normal 2014 (Sujet+Corriger) Mécanique Maroc

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Examen national de science de l'ingénieur Normal 2013 (Sujet+Corriger) Mécanique Maroc

08:40 zakariaamid 1

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         Examen national de science de l'ingénieur Normal 2013                                             (Sujet+Corriger) </h2>
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                                     Mécanique Maroc</h2>
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1STE 1STM cours exercice exercices National STE STM TCT Examen national de science de l'ingénieur Normal 2013 (Sujet+Corriger) Mécanique Maroc

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Examen national de science de l'ingénieur Normal 2012 (Sujet+Corriger)

08:37 zakariaamid 0

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      Examen national de science de l'ingénieur Normal 2012                                           (Sujet+Corriger)</h2>
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1STE 1STM cours exercice exercices National STE STM TCT Examen national de science de l'ingénieur Normal 2012 (Sujet+Corriger)

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Examen national de science de l'ingénieur Normal 2011 (Sujet+Corriger) Mécanique Maroc

08:32 zakariaamid 0

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<span style="font-family: Electrolize, GESSTwoMediumRegular;"><span style="font-size: 22.8px; font-weight: normal;">              Examen national de science de l'ingénieur Normal 2011                                           (Sujet+Corriger) Mécanique Maroc</span></span></h2>
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1STE 1STM cours exercice exercices National STE STM TCT Examen national de science de l'ingénieur Normal 2011 (Sujet+Corriger) Mécanique Maroc

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Examen national de science de l'ingénieur Normal 2010 (Sujet+Corriger) Mécanique Maroc

08:21 zakariaamid 0

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         Examen national de science de l'ingénieur Normal 2010                                             (Sujet+Corriger) </h2>
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                                                      Mécanique Maroc</h3>
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vous trouvez le fichier dans ce lien </h2>
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1STE 1STM cours exercice exercices National STE STM TCT Examen national de science de l'ingénieur Normal 2010 (Sujet+Corriger) Mécanique Maroc

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Examen national de science de l'ingénieur Normal 2009 (Sujet+Corriger) Mécanique Maroc

08:15 zakariaamid 0

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       Examen national de science de l'ingénieur Normal 2009                                                (Sujet+Corriger)</h2>
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                                                      Mécanique Maroc </h3>
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vous trouvez le fichier dans ce lien </h2>
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Examen national de science de l'ingénieur Normal 2008 (Sujet+Corriger) Mécanique Maroc

08:07 zakariaamid 0

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     Examen national de science de l'ingénieur Normal 2008                                                (Sujet+Corriger) </h2>
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                                                           Mecanique </h3>
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                     Vous trouvez le fichier ici bon lecture</h2>
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1STE 1STM cours exercice exercices National STE STM TCT Examen national de science de l'ingénieur Normal 2008 (Sujet+Corriger) Mécanique Maroc

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mécaniques des fluides

10:21 zakariaamid 0

<h2>
<span style="background-color: white;">                                          mécaniques des fluides</span></h2>
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bonjour nous visiteur </div>
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ici vous trouvez un bon résumée pour la mécanique de fluide </div>
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mécaniques des fluides

mécaniques des fluides bonjour nous visiteur ici vous trouvez un bon résumée pour la m...

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14:15 zakariaamid 0

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<b><span style="color: blue;"><span style="font-size: x-large;">Résumé sur les actions mécaniques</span><o:p></o:p></span></b></div>
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<b><span style="color: red; font-size: 14pt;">-</span><span style="font-size: large;"><span style="color: red;"> </span></span></b><i><span style="color: red; font-family: Arial; font-size: large;">Les torseurs</span></i><b><span style="font-size: large;"><span style="color: red;"> </span></span><span style="color: red; font-size: 14pt;">-<o:p></o:p></span></b></div>
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<b><span style="font-family: Arial;"><span style="color: navy; font-size: 14pt; line-height: 28px;">1)</span></span><span style="color: navy; font-family: Arial; font-size: 7pt; font-weight: normal; line-height: 14px;">   </span></b><b><u><span style="color: navy; font-family: Arial; font-size: 14pt; line-height: 28px;">Rappels sur les actions mécaniques<o:p></o:p></span></u></b></div>
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<span style="font-family: Arial;">Une action mécanique en un point peut être composée d’un effort et d’un moment provoqué par cet effort.</span></div>
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<span style="font-family: Arial;">Exemple : Analysons les actions mécaniques sur une porte en liaison pivot avec un mur. (vue de dessus de la porte).</span></div>
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<span style="font-family: Arial;"><b><u>1<sup>er</sup> cas </u></b>: L’utilisateur pousse la porte au niveau de la charnière (au point A :centre de la liaison) ; il exerce un effort <sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image003.gif" v:shapes="_x0000_s1184" width="37" /></span></sub>. Comment est le moment de cet effort par rapport au point A : <sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image005.gif" v:shapes="_x0000_s1183" width="69" /></span></sub> ?</span></div>
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<span style="font-family: Arial;"><i>........................ <sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image005.gif" v:shapes="_x0000_s1182" width="69" /></span></sub>=0 car il n’y a pas de distance perpendiculaire à l’effort et passant par </i></span><i><span style="font-size: 10pt;">A</span><span style="font-family: Wingdings; font-size: 10pt;">è</span><span style="font-size: 10pt;"> </span></i><i><span style="font-family: Arial;">conséquence : la porte ne tourne pas.</span><o:p></o:p></i></div>
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<span style="font-family: Arial;">Donc l’action mécanique au point A se résume à un effort que l’on note <sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image003.gif" v:shapes="_x0000_s1181" width="37" /></span></sub>. Il n’y a pas de difficulté particulière pour noter ou indiquer cette action mécanique.</span></div>
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<span style="font-family: Arial;"><b><u>2ème cas </u></b>: l’utilisateur pousse la porte au niveau de la poignée au point B avec la même force.</span></div>
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<span style="height: 42px; left: -144px; position: absolute; top: 10px; width: 42px; z-index: 2;"><img alt="Zone de Texte: d
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<span style="font-family: Arial;"><span style="height: 49px; left: -190px; position: absolute; top: 7px; width: 122px; z-index: 5;"><img height="49" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image010.gif" v:shapes="_x0000_s1079" width="122" /></span><span style="height: 31px; left: -194px; position: absolute; top: 23px; width: 9px; z-index: 6;"><img height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image011.gif" v:shapes="_x0000_s1080" width="9" /></span>Comment est le moment de cet effort par rapport au point A : <sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image005.gif" v:shapes="_x0000_s1180" width="69" /></span></sub> </span><span style="height: 42px; left: 428px; position: absolute; top: 836px; width: 33px; z-index: 1;"><img alt="Zone de Texte: A
" height="42" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image012.gif" v:shapes="_x0000_s1026" width="33" /></span><span style="font-family: Arial;">?</span><br />
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<span style="font-family: Arial;">.......<i> <sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image005.gif" v:shapes="_x0000_s1179" width="69" /></span></sub>=</i><sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="33" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image014.gif" v:shapes="_x0000_s1178" width="75" /></span></sub>            </span></div>
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<span style="font-family: Arial;"> Le moment n’est pas nul </span><span style="font-family: Arial;">è</span><span style="font-family: Arial;"> la porte tourne autour du point A.</span></div>
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<span style="font-family: Arial;">L’action mécanique ne se résume pas seulement à l’effort <sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image003.gif" v:shapes="_x0000_s1177" width="37" /></span></sub> ; elle est indissociable du moment provoqué par cet effort autour du point A : <sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image005.gif" v:shapes="_x0000_s1176" width="69" /></span></sub>.</span></div>
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<span style="font-family: Arial;">Lorsqu’on veut noter ou parler de cette action mécanique <u>au point A</u>, il faut à la fois préciser l’effort et le moment induit par l’effort. </span><span style="font-family: Arial;">è</span><span style="font-family: Arial;"> La notation commence alors à se compliquer et il ne sera pas aisé de travailler avec des équations si on n’a pas un outil qui <u>présente mieux</u> l’action mécanique.</span></div>
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<span style="font-family: Arial;">Comment peut on faire pour présenter toutes les caractéristiques de cette action mécanique au point A dans un repère donné ?<o:p></o:p></span></div>
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<span style="font-family: Arial;"><o:p> </o:p><o:p> </o:p></span></div>
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<b><span style="font-size: 14pt; line-height: 28px;"><span style="font-family: Arial;">Il faut pouvoir indiquer :</span><o:p></o:p></span></b></div>
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<b><i><span style="font-size: 11pt; line-height: 22px;"><span style="font-family: Arial;">Pour le 2<sup>ème</sup> cas étudié précédemment</span><o:p></o:p></span></i></b></div>
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<span style="font-size: 11pt; line-height: 22px;"><span style="font-family: Arial;">Le point où on étudie cette action mécanique :</span><o:p></o:p></span></div>
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<i><span style="font-size: 11pt; line-height: 22px;"><span style="font-family: Arial;">Point A</span><o:p></o:p></span></i></div>
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<span style="font-size: 11pt; line-height: 22px;"><span style="font-family: Arial;">L’effort (par ses composantes Fx, Fy, Fz projetée sur les axes d’un repère) </span><o:p></o:p></span></div>
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<span style="font-size: 11pt; line-height: 22px;"><span style="font-family: Arial;">(les composantes seront projetées à l’aide d’un angle donné):</span><o:p></o:p></span></div>
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<span style="font-family: Arial;"><i><span style="font-size: 11pt; line-height: 22px;">-Fx porté par </span></i><i><sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="27" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image016.gif" v:shapes="_x0000_s1175" width="15" /></span></sub><span style="font-size: 11pt; line-height: 22px;">et +Fy porté par </span></i><i><sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image018.gif" v:shapes="_x0000_s1174" width="16" /></span></sub></i></span><i><span style="font-size: 11pt; line-height: 22px;"><span style="font-family: Arial;"></span><o:p></o:p></span></i></div>
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<span style="font-size: 11pt; line-height: 22px;"><span style="font-family: Arial;">Le moment éventuel de cet effort (projeté sur les axes d’un repère) :</span><o:p></o:p></span></div>
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<span style="font-family: Arial;"><i><span style="font-size: 11pt; line-height: 22px;">+</span></i><i><sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="33" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image014.gif" v:shapes="_x0000_s1173" width="75" /></span></sub><span style="font-size: 11pt; line-height: 22px;"> porté par </span><sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="25" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image020.gif" v:shapes="_x0000_s1172" width="15" /></span></sub></i></span><i><span style="font-size: 11pt; line-height: 22px;"><span style="font-family: Arial;"></span><o:p></o:p></span></i></div>
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<span style="font-size: 11pt; line-height: 22px;"><span style="font-family: Arial;">Le repère de travail</span><o:p></o:p></span></div>
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<span style="font-family: Arial;"><i><span style="font-size: 11pt; line-height: 22px;">O,</span></i><i><sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="27" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image016.gif" v:shapes="_x0000_s1171" width="15" /></span></sub><span style="font-size: 11pt; line-height: 22px;">, </span><sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image018.gif" v:shapes="_x0000_s1170" width="16" /></span></sub><span style="font-size: 11pt; line-height: 22px;">,</span><sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="25" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image020.gif" v:shapes="_x0000_s1169" width="15" /></span></sub></i></span><i><span style="font-size: 11pt; line-height: 22px;"><span style="font-family: Arial;"></span><o:p></o:p></span></i></div>
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<b><i><span style="font-family: Arial; font-size: 14pt; line-height: 28px;">Cet outil de présentation s’appelle <u>le torseur</u> d’une action mécanique.<o:p></o:p></span></i></b></div>
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<span style="font-family: Arial;"><u><span style="font-size: 11pt; line-height: 22px;">Exemple d’écriture du torseur de l’action mécanique de l’utilisateur sur la porte au point A dans <i>O,</i></span></u><i><u><sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="27" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image016.gif" v:shapes="_x0000_s1168" width="15" /></span></sub><span style="font-size: 11pt; line-height: 22px;">, </span><sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image018.gif" v:shapes="_x0000_s1167" width="16" /></span></sub><span style="font-size: 11pt; line-height: 22px;">,</span><sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="25" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image020.gif" v:shapes="_x0000_s1166" width="15" /></span></sub><span style="font-size: 11pt; line-height: 22px;"></span></u></i></span><u><span style="font-size: 11pt; line-height: 22px;"><o:p></o:p></span></u></div>
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<span style="font-family: Arial;"><b><u>1<sup>er</sup> cas :</u></b>         <sub><span style="background: yellow; font-size: 10pt; line-height: 20px;"><img border="0" height="95" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image022.gif" v:shapes="_x0000_s1165" width="372" /></span></sub><span style="background: yellow;"></span></span></div>
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<span style="font-family: Arial;"><b><u>2ème cas :</u></b>         <sub><span style="background: yellow; font-size: 10pt; line-height: 20px;"><img border="0" height="101" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image024.gif" v:shapes="_x0000_s1164" width="381" /></span></sub><span style="background: yellow;"></span></span></div>
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<span style="font-family: Arial;"><b><u>C’est ce que l’on appelle l’écriture en ligne d’un torseur.</u></b></span></div>
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<i><span style="font-family: Arial;">NOTA : Les composantes des efforts sont toujours en haut et les composantes des moments toujours en bas.</span><o:p></o:p></i></div>
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<span style="font-family: Arial;">Il existe aussi l’écriture en colonne qui peut être plus pratique dans certains cas. Les deux écritures sont différentes mais <u>les informations contenues sont les mêmes</u>, seule la présentation change.</span></div>
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<span style="font-family: Arial;"><b><u>1<sup>er</sup> cas :</u></b>         <sub><span style="background: yellow; font-size: 10pt; line-height: 20px;"><img border="0" height="124" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image026.gif" v:shapes="_x0000_s1163" width="250" /></span></sub><span style="background: yellow;"></span></span></div>
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<i><u><span style="font-family: Arial;">Nota : il s’agit ici de bien retenir que les composantes des efforts sont toujours à gauche et les composantes des moments sont toujours à droite.</span><o:p></o:p></u></i></div>
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<span style="font-family: Arial;"><b><u>2ème cas :</u></b> <sub><span style="background: yellow; font-size: 10pt; line-height: 20px;"><img border="0" height="139" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image028.gif" v:shapes="_x0000_s1162" width="322" /></span></sub><span style="background: yellow;"></span></span></div>
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<b><u><span style="font-family: Arial;">C’est ce que l’on appelle l’écriture en colonne d’un torseur.</span><o:p></o:p></u></b></div>
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<b><span style="font-family: Arial;"><span style="color: navy; font-size: 14pt; line-height: 28px;">2)</span></span><span style="color: navy; font-family: Arial; font-size: 7pt; font-weight: normal; line-height: 14px;">   </span></b><b><u><span style="color: navy; font-family: Arial; font-size: 14pt; line-height: 28px;">Transport d’un torseur<o:p></o:p></span></u></b></div>
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<span style="height: 184px; left: 114px; position: absolute; top: 2282px; width: 291px; z-index: 7;"><span style="height: 43px; left: 38px; position: absolute; top: 22px; width: 52px; z-index: 7;"><img alt="Zone de Texte: dy
" class="shape" height="43" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image029.gif" v:dpi="96" v:shapes="_x0000_s1114" width="52" /></span><img height="184" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image030.gif" v:shapes="_x0000_s1081 _x0000_s1082 _x0000_s1083 _x0000_s1084 _x0000_s1085 _x0000_s1086 _x0000_s1087 _x0000_s1088 _x0000_s1089 _x0000_s1090 _x0000_s1091 _x0000_s1092 _x0000_s1093 _x0000_s1094 _x0000_s1095 _x0000_s1096 _x0000_s1097 _x0000_s1098 _x0000_s1099 _x0000_s1100 _x0000_s1101 _x0000_s1102 _x0000_s1103 _x0000_s1104 _x0000_s1105 _x0000_s1106 _x0000_s1107 _x0000_s1108 _x0000_s1109 _x0000_s1110 _x0000_s1111 _x0000_s1112 _x0000_s1113" width="291" /></span>Reprenons le 2ème cas vu précédemment ; pour trouver les effets de l’effort en B par rapport au point A, nous avons calculer <i>intuitivement</i> le moment de l’effort par rapport au point A. Le système de présentation des torseurs va permettre de faire une opération beaucoup plus mathématique pour obtenir le résultat ; c’est ce que l’on appelle le transport des torseurs d’un point à un autre et le moment de l’effort sera alors obtenu par un produit vectoriel.</div>
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<span style="font-family: Arial;">Dans notre cas, le torseur en B s’écrit : : <sub><span style="background: yellow; font-size: 10pt; line-height: 20px;"><img border="0" height="107" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image032.gif" v:shapes="_x0000_s1161" width="455" /></span></sub><span style="background: yellow;"></span></span></div>
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<span style="font-family: Arial;">Cela peut se aussi se calculer vectoriellement en transportant le torseur du point B au point A par l’expression suivante :          <sub><span style="background: yellow; font-size: 10pt; line-height: 20px;"><img border="0" height="97" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image034.gif" v:shapes="_x0000_s1160" width="500" /></span></sub><span style="background: yellow;"></span></span></div>
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<span style="font-family: Arial;">Dans notre cas, le moment en B de l’effort u/p est nul :<i> </i><i><sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image036.gif" v:shapes="_x0000_s1159" width="72" /></span></sub>=0.</i></span></div>
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<span style="font-family: Arial;">Il nous reste à faire le produit vectoriel et à écrire le résultat sous forme de torseur. <sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="111" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image038.gif" v:shapes="_x0000_s1158" width="592" /></span></sub></span></div>
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<span style="font-family: Arial;">Donc : <sub><span style="background: yellow; font-size: 10pt; line-height: 20px;"><img border="0" height="97" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image040.gif" v:shapes="_x0000_s1157" width="518" /></span></sub><span style="background: yellow;"></span> en ligne</span></div>
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<span style="font-family: Arial;">Ou : <sub><span style="background: yellow; font-size: 10pt; line-height: 20px;"><img border="0" height="124" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image042.gif" v:shapes="_x0000_s1156" width="384" /></span></sub><span style="background: yellow;"></span> en colonne.</span></div>
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<b><span style="font-family: Arial;"><span style="color: navy; font-size: 14pt; line-height: 28px;">3)</span></span><span style="color: navy; font-family: Arial; font-size: 7pt; font-weight: normal; line-height: 14px;">   </span></b><b><u><span style="color: navy; font-family: Arial; font-size: 14pt; line-height: 28px;">Résolution d’un problème de statique par les torseurs.<o:p></o:p></span></u></b></div>
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<span style="font-family: Arial;"><b><u>Exemple de la Ferrari déjà traité.</u></b></span></div>
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<span style="font-size: 11.5pt;"><img border="0" height="168" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/resume2.jpg" width="453" /></span></h5>
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<span style="height: 268px; left: -21px; position: absolute; top: 3270px; width: 264px; z-index: 11;"><img height="268" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image043.gif" v:shapes="_x0000_s1118 _x0000_s1119 _x0000_s1120 _x0000_s1121 _x0000_s1122 _x0000_s1123 _x0000_s1124" width="264" /></span><span style="font-size: 11.5pt; line-height: 23px;"><o:p></o:p></span></div>
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<span style="height: 33px; left: -415px; position: absolute; top: 130px; width: 33px; z-index: 9;"><img alt="Zone de Texte: A
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<span style="font-family: Arial;">                                                                                              </span><br />
<span style="font-size: 11.5pt; line-height: 23px;"><span style="font-family: Arial;">Considérons une Ferrari de masse m=1250 Kg ; La voiture étant immobile, on désire connaître les actions mécaniques sur les pneumatiques au point A et au point B.</span><o:p></o:p></span><br />
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<span style="font-size: 11.5pt; line-height: 23px;"><span style="font-family: Arial;">Le sol sera repéré 0, la roue arrière 1 et la roue avant 2.</span><o:p></o:p></span></div>
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<span style="font-size: 11.5pt; line-height: 23px;"><span style="font-family: Arial;">1)</span><span style="font-family: Arial; font-size: 7pt;">      </span></span><span style="font-size: 11.5pt; line-height: 23px;"><span style="font-family: Arial;">Isolez la voiture et faites le bilan des actions mécaniques.</span><o:p></o:p></span></div>
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<span style="font-size: 11.5pt; line-height: 23px;"><span style="font-family: Arial;">2)</span><span style="font-family: Arial; font-size: 7pt;">      </span></span><span style="font-size: 11.5pt; line-height: 23px;"><span style="font-family: Arial;">Ecrivez le bilan des actions mécaniques en chaque point sous forme de torseurs.</span><o:p></o:p></span></div>
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<span style="font-size: 11.5pt; line-height: 23px;"><span style="font-family: Arial;">3)</span><span style="font-family: Arial; font-size: 7pt;">      </span></span><span style="font-size: 11.5pt; line-height: 23px;"><span style="font-family: Arial;">Déterminez si le problème est isostatique ou hyperstatique.</span><o:p></o:p></span></div>
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<span style="font-size: 11.5pt; line-height: 23px;"><span style="font-family: Arial;">4)</span><span style="font-family: Arial; font-size: 7pt;">      </span></span><span style="font-family: Arial;"><span style="font-size: 11.5pt; line-height: 23px;">Connaissant les données suivantes :  </span><sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="21" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image046.gif" v:shapes="_x0000_s1155" width="205" /></span></sub><span style="font-size: 11.5pt; line-height: 23px;"> et </span><sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="27" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image048.gif" v:shapes="_x0000_s1154" width="247" /></span></sub></span><span style="font-size: 11.5pt; line-height: 23px;"><span style="font-family: Arial;"> , appliquez le P.F.S. sous forme de torseur au point B .</span><o:p></o:p></span></div>
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<span style="font-size: 11.5pt; line-height: 23px;"><span style="font-family: Arial;">5)</span><span style="font-family: Arial; font-size: 7pt;">      </span></span><span style="font-size: 11.5pt; line-height: 23px;"><span style="font-family: Arial;"> Transportez tous les torseurs au point B et écrire les 3 équations d’équilibre issues du P.F.S.</span><o:p></o:p></span></div>
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<span style="font-size: 11.5pt; line-height: 23px;"><span style="font-family: Arial;">6)</span><span style="font-family: Arial; font-size: 7pt;">      </span></span><span style="font-size: 11.5pt; line-height: 23px;"><span style="font-family: Arial;">Déterminez l’effort sur chaque roue arrière et chaque roue avant de la voiture.</span><o:p></o:p></span></div>
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<span style="font-size: 11.5pt; line-height: 23px;"><span style="font-family: Arial;">7)</span><span style="font-family: Arial; font-size: 7pt;">      </span></span><span style="font-size: 11.5pt; line-height: 23px;"><span style="font-family: Arial;">Ecrire les torseurs sur les roues avant et arrière en colonne en remplaçant les inconnues.</span><o:p></o:p></span></div>
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<b><u><span style="font-family: Arial;">Résolution</span><o:p></o:p></u></b></div>
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<span style="font-family: Arial;">1)</span><span style="font-family: Arial; font-size: 7pt;">      </span><span style="font-family: Arial;">on isole la voiture et ses roues :</span></div>
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<span style="font-family: Arial;">Bilan des actions mécaniques extérieures. </span><i><span style="font-family: Arial;">Il faudra rapidement vous passez d’utiliser ce tableau pour ne travailler qu’avec les torseurs.</span><o:p></o:p></i></div>
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<b><i><span style="font-family: Arial;">NOM</span><o:p></o:p></i></b></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: solid solid solid none; border-top-color: windowtext; border-top-width: 1pt; padding: 0cm 3.5pt; width: 35.4pt;" valign="top" width="47"><div class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: justify; text-indent: 0cm;">
<b><i><span style="font-family: Arial;">P.A.</span><o:p></o:p></i></b></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: solid solid solid none; border-top-color: windowtext; border-top-width: 1pt; padding: 0cm 3.5pt; width: 184.15pt;" valign="top" width="246"><div class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: justify; text-indent: 0cm;">
<b><i><span style="font-family: Arial;">Direction</span><o:p></o:p></i></b></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: solid solid solid none; border-top-color: windowtext; border-top-width: 1pt; padding: 0cm 3.5pt; width: 127.7pt;" valign="top" width="170"><div class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: justify; text-indent: 0cm;">
<b><i><span style="font-family: Arial;">Sens</span><o:p></o:p></i></b></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: solid solid solid none; border-top-color: windowtext; border-top-width: 1pt; padding: 0cm 3.5pt; width: 2cm;" valign="top" width="76"><div class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: justify; text-indent: 0cm;">
<b><i><span style="font-family: Arial;">Norme</span><o:p></o:p></i></b></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: solid solid solid none; border-top-color: windowtext; border-top-width: 1pt; padding: 0cm 3.5pt; width: 88.3pt;" valign="top" width="118"><div class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: justify; text-indent: 0cm;">
<b><i><span style="font-family: Arial;">Nb d’inconnues</span><o:p></o:p></i></b></div>
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<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;"><sub><img border="0" height="25" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image050.gif" v:shapes="_x0000_s1153" width="19" /></sub></span><o:p></o:p></span></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid none; padding: 0cm 3.5pt; width: 35.4pt;" valign="top" width="47"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;">G</span><o:p></o:p></span></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid none; padding: 0cm 3.5pt; width: 184.15pt;" valign="top" width="246"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;">Verticale</span><o:p></o:p></span></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid none; padding: 0cm 3.5pt; width: 127.7pt;" valign="top" width="170"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;">Vers le bas</span><o:p></o:p></span></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid none; padding: 0cm 3.5pt; width: 2cm;" valign="top" width="76"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;">12500 N</span><o:p></o:p></span></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid none; padding: 0cm 3.5pt; width: 88.3pt;" valign="top" width="118"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;">0</span><o:p></o:p></span></div>
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<tr><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid; padding: 0cm 3.5pt; width: 53.15pt;" valign="top" width="71"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;"><sub><img border="0" height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image052.gif" v:shapes="_x0000_s1152" width="33" /></sub></span><o:p></o:p></span></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid none; padding: 0cm 3.5pt; width: 35.4pt;" valign="top" width="47"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;">A</span><o:p></o:p></span></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid none; padding: 0cm 3.5pt; width: 184.15pt;" valign="top" width="246"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;">Liaison ponctuelle=> effort perpendiculaire au sol => <sub><img border="0" height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image052.gif" v:shapes="_x0000_s1151" width="33" /></sub> est vertical.</span><o:p></o:p></span></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid none; padding: 0cm 3.5pt; width: 127.7pt;" valign="top" width="170"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;">Vers la matière</span><o:p></o:p></span></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid none; padding: 0cm 3.5pt; width: 2cm;" valign="top" width="76"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;">?</span><o:p></o:p></span></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid none; padding: 0cm 3.5pt; width: 88.3pt;" valign="top" width="118"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;">1</span><o:p></o:p></span></div>
</td></tr>
<tr style="height: 36.75pt;"><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-left-color: windowtext; border-left-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid; height: 36.75pt; padding: 0cm 3.5pt; width: 53.15pt;" valign="top" width="71"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;"><sub><img border="0" height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image054.gif" v:shapes="_x0000_s1150" width="35" /></sub></span><o:p></o:p></span></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid none; height: 36.75pt; padding: 0cm 3.5pt; width: 35.4pt;" valign="top" width="47"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;">B</span><o:p></o:p></span></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid none; height: 36.75pt; padding: 0cm 3.5pt; width: 184.15pt;" valign="top" width="246"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 9pt; line-height: 18px;"><span style="font-family: Arial;">Liaison ponctuelle=> effort perpendiculaire au sol => <sub><img border="0" height="31" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image054.gif" v:shapes="_x0000_s1149" width="35" /></sub> est vertical.</span><o:p></o:p></span></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid none; height: 36.75pt; padding: 0cm 3.5pt; width: 127.7pt;" valign="top" width="170"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;">Vers la matière</span><o:p></o:p></span></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid none; height: 36.75pt; padding: 0cm 3.5pt; width: 2cm;" valign="top" width="76"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;">?</span><o:p></o:p></span></div>
</td><td style="border-bottom-color: windowtext; border-bottom-width: 1pt; border-right-color: windowtext; border-right-width: 1pt; border-style: none solid solid none; height: 36.75pt; padding: 0cm 3.5pt; width: 88.3pt;" valign="top" width="118"><div align="center" class="NormalJMC" style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 24px; margin: 0cm 0cm 0.0001pt; text-align: center; text-indent: 0cm;">
<span style="font-size: 10pt; line-height: 20px;"><span style="font-family: Arial;">1</span><o:p></o:p></span></div>
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</tbody></table>
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<span style="font-family: Arial;">2)</span><span style="font-family: Arial; font-size: 7pt;">      </span><span style="font-family: Arial;">De la même façon, on peut faire le bilan sous forme de torseurs ; on a alors 3 torseurs d’action mécanique exprimés dans le repère R=(O,x,y,z) : <sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="27" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image057.gif" v:shapes="_x0000_s1148" width="13" /></span></sub></span></div>
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<span style="font-family: Arial;"><sub><span style="background: yellow; font-size: 10pt; line-height: 20px;"><img border="0" height="61" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image059.gif" v:shapes="_x0000_s1147" width="196" /></span></sub><span style="background: yellow;"></span> ; <sub><span style="background: yellow; font-size: 10pt; line-height: 20px;"><img border="0" height="64" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image061.gif" v:shapes="_x0000_s1146" width="164" /></span></sub><span style="background: yellow;"></span> ; <sub><span style="background: yellow; font-size: 10pt; line-height: 20px;"><img border="0" height="58" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image063.gif" v:shapes="_x0000_s1145" width="167" /></span></sub><span style="background: yellow;"></span></span></div>
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<i><span style="font-family: Arial;">Nota :Les inconnues sont remplacées par des variables positives.</span><o:p></o:p></i></div>
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<span style="font-family: Arial;">3)</span><span style="font-family: Arial; font-size: 7pt;">      </span><span style="font-family: Arial;">Le problème est isostatique car on a 2 inconnues < 3 équations dans le plan.</span></div>
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<span style="font-family: Arial;">4)</span><span style="font-family: Arial; font-size: 7pt;">      </span><span style="font-family: Arial;">Le P.F.S. ne change pas mais il s’exprime de la façon suivante sous forme de torseur :</span></div>
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<span style="font-family: Arial;">Somme des torseurs en un point = 0 </span><span style="font-family: Arial;">è</span><span style="font-family: Arial;">  <sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="58" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image065.gif" v:shapes="_x0000_s1144" width="204" /></span></sub>. En développant dans notre cas, on obtient : <img border="0" height="57" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image067.gif" v:shapes="_x0000_s1143" width="487" /></span></div>
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<i><span style="font-family: Arial;">NOTA : Tous les torseurs doivent être ramenés au même point. (Erreur « classique » à éviter)</span><o:p></o:p></i></div>
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<span style="font-family: Arial;">Pour pouvoir additionner ces torseurs, il faut maintenant tous les exprimer au point B ; on va donc les transporter de leur point respectif au point B.</span></div>
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<span style="font-family: Arial;">5)</span><span style="font-family: Arial; font-size: 7pt;">      </span><span style="font-family: Arial;"><u>Transport du torseur poids du point G au point B</u></span></div>
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<br /></div>
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<span style="font-family: Arial;"><span style="background: yellow;"><sub><img border="0" height="59" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image069.gif" v:shapes="_x0000_s1142" width="268" /></sub></span>avec<sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="59" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image071.gif" v:shapes="_x0000_s1141" width="386" /></span></sub></span></div>
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</div>
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<span style="font-family: Arial;">Donc <span style="background: yellow;"><sub><img border="0" height="59" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image073.gif" v:shapes="_x0000_s1140" width="451" /></sub></span></span></div>
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</div>
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<i><span style="font-family: Arial;">NOTA : Attention aux signes des vecteurs : <sub><img border="0" height="27" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image075.gif" v:shapes="_x0000_s1139" width="92" /></sub> (Erreur « classique » à éviter).</span><o:p></o:p></i></div>
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<i><span style="font-family: Arial;">Et <sub><img border="0" height="27" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image077.gif" v:shapes="_x0000_s1138" width="67" /></sub> donne un résultat différent de <sub><img border="0" height="27" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image079.gif" v:shapes="_x0000_s1137" width="65" /></sub>au signe près et donc faux. Ne pas inverser !$</span><o:p></o:p></i></div>
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<span style="font-family: Arial;"><u>Transport du torseur de 0/1 du point A au point B</u></span></div>
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<br /></div>
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<span style="font-family: Arial;"><span style="background: yellow;"><sub><img border="0" height="57" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image081.gif" v:shapes="_x0000_s1136" width="286" /></sub></span>avec<sub><span style="font-size: 10pt; line-height: 20px;"><img border="0" height="59" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image083.gif" v:shapes="_x0000_s1135" width="368" /></span></sub></span></div>
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</div>
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<span style="font-family: Arial;">Donc <span style="background: yellow;"><sub><img border="0" height="59" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image085.gif" v:shapes="_x0000_s1134" width="474" /></sub></span></span></div>
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</div>
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<span style="font-family: Arial;">Le 3<sup>ème</sup> torseur <sub><span style="background: yellow; font-size: 10pt; line-height: 20px;"><img border="0" height="58" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image063.gif" v:shapes="_x0000_s1133" width="167" /></span></sub><span style="background: yellow;"></span>est déjà exprimé au point B, donc il ne nous reste plus qu’à appliquer le P.F.S. en additionnant chaque terme des torseurs.</span></div>
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<br /></div>
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<span style="font-family: Arial;"><sub><img border="0" height="99" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image087.gif" v:shapes="_x0000_s1132" width="311" /></sub>        <sub><img border="0" height="99" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image089.gif" v:shapes="_x0000_s1131" width="313" /></sub></span></div>
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<i><span style="font-family: Arial;">Nota :On remarque que l’on a que 2 équations utiles sur les 3 prévues lors de la vérification de l’isostatisme. Il suffit maintenant de résoudre pour déterminer nos inconnues.</span></i></div>
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<br /></div>
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<span style="font-family: Arial;">6)</span><span style="font-family: Arial; font-size: 7pt;">      </span><span style="font-family: Arial;"><sub><img border="0" height="49" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image091.gif" v:shapes="_x0000_s1130" width="196" /></sub> et donc en utilisant l’équations des efforts <sub><img border="0" height="25" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image093.gif" v:shapes="_x0000_s1129" width="179" /></sub>, on a : <sub><img border="0" height="25" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image095.gif" v:shapes="_x0000_s1128" width="356" /></sub>.</span></div>
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<span style="font-family: Arial;">Chacune des deux roues avant supporte 3880/2 = 1940 N et chacune des deux roues arrière supporte 8620/2 = 4310 N.</span></div>
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<span style="font-family: Arial;">7)</span><span style="font-family: Arial; font-size: 7pt;">      </span><span style="font-family: Arial;">Si on écrit les torseurs sans leurs inconnues, on a :</span></div>
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<span style="font-family: Arial;"><sub><span style="background: yellow; font-size: 10pt; line-height: 20px;"><img border="0" height="124" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image097.gif" v:shapes="_x0000_s1127" width="234" /></span></sub><span style="background: yellow;"></span>et au point B : <sub><span style="background: yellow; font-size: 10pt; line-height: 20px;"><img border="0" height="135" src="http://www.sbaysite.com/1STM/resume%20torseur_fichiers/image099.gif" v:shapes="_x0000_s1126" width="321" /></span></sub><span style="background: yellow;"></span></span></div>
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<i><span style="font-family: Arial;">NOTA :Les torseurs seront écrit en ligne ou en colonne selon les indications données dans les sujets de bac.</span></i></div>

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