{"id":2247,"date":"2026-04-27T12:40:31","date_gmt":"2026-04-27T12:40:31","guid":{"rendered":"https:\/\/protasoftware.com\/fr\/wiki\/regles-d-orientation-par-defaut-pour-les-elements-barres\/"},"modified":"2026-04-27T12:40:31","modified_gmt":"2026-04-27T12:40:31","slug":"regles-d-orientation-par-defaut-pour-les-elements-barres","status":"publish","type":"wiki","link":"https:\/\/protasoftware.com\/fr\/support\/manuels-techniques\/regles-d-orientation-par-defaut-pour-les-elements-barres\/","title":{"rendered":"R\u00e8gles d&rsquo;orientation par d\u00e9faut pour les \u00e9l\u00e9ments barres"},"content":{"rendered":"<div>\n <span class=\"font\"><span class=\"colour\"><a target=\"_blank\" href=\"https:\/\/support.protasoftware.com\/portal\/en\/kb\/articles\/overview-of-coordinate-system-workplane-concept#Element_Coordinate_System\" rel=\"noopener noreferrer\"><span style=\"font-size: 16px;line-height: normal\" class=\"size\">Le syst\u00e8me de coordonn\u00e9es local de l&rsquo;\u00e9l\u00e9ment barre<\/span><\/a><\/span><span><span class=\"colour\"><span style=\"font-size: 16px;line-height: normal\" class=\"size\">&nbsp;<\/span><\/span><\/span><span class=\"colour\"><span style=\"font-size: 16px;line-height: normal\" class=\"size\">est d\u00e9fini en deux \u00e9tapes. Il est d&rsquo;abord form\u00e9 selon les r\u00e8gles d&rsquo;orientation par d\u00e9faut. Il est ensuite tourn\u00e9 autour de l&rsquo;axe local 1 selon l&rsquo;angle de rotation, si celui-ci est pr\u00e9cis\u00e9.<\/span><\/span><\/span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\"><br \/><\/span><\/span>\n<\/div>\n<h2 class=\"toc_anchors\" id=\"Default_Orientation_of_Frame_Element_Local_Coordinate_System\"><span class=\"font\"><b><span class=\"colour\"><span style=\"font-size: 18px\" class=\"size\">Orientation par d\u00e9faut du syst\u00e8me de coordonn\u00e9es local de l&rsquo;\u00e9l\u00e9ment barre<\/span><\/span><\/b><\/span><span class=\"colour\"><span style=\"font-size: 18px\" class=\"size\"><br \/><\/span><\/span><\/h2>\n<ul style=\"font-size: 14px;font-style: normal;font-weight: 400;letter-spacing: normal;text-indent: 0px;text-transform: none;white-space: normal\">\n<li>\n<div>\n   <span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">L&rsquo;axe local 1 de l&rsquo;\u00e9l\u00e9ment suit l&rsquo;axe axial de l&rsquo;\u00e9l\u00e9ment. Son origine se trouve au n\u0153ud de d\u00e9part.<\/span><span class=\"colour\"><br \/><\/span><\/span><span class=\"colour\"><br \/>\n  <\/span><\/div>\n<\/li>\n<p><span class=\"colour\"><br \/>\n <\/span><\/p>\n<li><span class=\"colour\"><br \/>\n  <\/span><\/p>\n<div><span class=\"colour\"><br \/>\n   <\/span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">L&rsquo;axe local 2 est orient\u00e9 comme suit :<\/span><span class=\"colour\"><br \/><\/span><\/span>\n  <\/div>\n<ul>\n<li><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">L&rsquo;axe local 2 se trouve dans le plan form\u00e9 par l&rsquo;axe local 1 et l&rsquo;axe Z global, sauf si l&rsquo;\u00e9l\u00e9ment (axe local 1) est parall\u00e8le \u00e0 l&rsquo;axe Z global.<br \/><\/span><\/span><\/li>\n<li><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">L&rsquo;axe local 2 est orient\u00e9 selon l&rsquo;axe X positif si l&rsquo;axe local 1 est parall\u00e8le \u00e0 l&rsquo;axe Z global dans le sens positif.<br \/><\/span><\/span><\/li>\n<li><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">L&rsquo;axe local 2 est orient\u00e9 selon l&rsquo;axe X n\u00e9gatif si l&rsquo;axe local 1 est parall\u00e8le \u00e0 l&rsquo;axe Z global dans le sens n\u00e9gatif.<br \/><\/span><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Enfin, l&rsquo;axe local 3 est d\u00e9termin\u00e9 par le produit vectoriel de l&rsquo;axe local 1 et de l&rsquo;axe local 2.<\/span><br \/><\/span><\/li>\n<\/ul>\n<table style=\"font-size: 14px;font-style: normal;font-weight: 400;letter-spacing: normal;text-indent: 0px;text-transform: none;white-space: normal;width: 730px;max-width: 100%\" class=\" cke_show_border\" cellpadding=\"10\" border=\"0\" align=\"center\">\n<tbody>\n<tr>\n<td>\n<p style=\"line-height: 20px\"><span class=\"font\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">La proc\u00e9dure math\u00e9matique permettant de former les axes locaux de l&rsquo;\u00e9l\u00e9ment barre selon la r\u00e8gle d&rsquo;orientation par d\u00e9faut est r\u00e9sum\u00e9e ci-dessous :<\/span><\/span><\/span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\"><br \/><\/span><\/span><\/p>\n<ol>\n<li><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Soit<\/span><\/span><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">V1<\/span><\/span><\/b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">,<\/span><\/span><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">V2<\/span><\/span><\/b><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">et<\/span><\/span><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">V3<\/span><\/span><\/b><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">les vecteurs unitaires repr\u00e9sentant respectivement les axes locaux 1, 2 et 3 ; nous disposons aussi d&rsquo;un vecteur unitaire auxiliaire,<\/span><\/span><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Vn<\/span><\/span><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><\/b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">dont la d\u00e9finition est expliqu\u00e9e dans la proc\u00e9dure suivante.<br \/><\/span><\/span><\/li>\n<li><b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">V1<\/span><\/span><\/b><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">est le vecteur allant du n\u0153ud de d\u00e9part au n\u0153ud d&rsquo;arriv\u00e9e.<br \/><\/span><\/span><\/li>\n<li>\n<div>\n       <span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Le vecteur<\/span><\/span><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Vn<\/span><\/span><\/b><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">est d\u00e9fini comme suit :<br \/><\/span><\/span>\n      <\/div>\n<ul>\n<li><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">[0, 0, 1] si l&rsquo;axe local 1 n&rsquo;est pas parall\u00e8le \u00e0 l&rsquo;axe Z global.<br \/><\/span><\/span><\/li>\n<li><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">[1, 0, 0] si l&rsquo;axe local 1 est orient\u00e9 selon l&rsquo;axe Z positif du syst\u00e8me de coordonn\u00e9es global.<br \/><\/span><\/span><\/li>\n<li><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">[-1, 0, 0] si l&rsquo;axe local 1 est orient\u00e9 selon l&rsquo;axe Z n\u00e9gatif du syst\u00e8me de coordonn\u00e9es global.<br \/><\/span><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Obtenir<\/span><\/span><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">V3<\/span><\/span><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><\/b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">tel que<\/span><\/span><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">V3 = V1<\/span><\/span><\/b><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">x Vn<\/span><\/span><\/b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\"><br \/><\/span><\/span><\/li>\n<li><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Obtenir<\/span><\/span><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">V2<\/span><\/span><\/b><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">tel que<\/span><\/span><span><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">&nbsp;<\/span><\/span><\/span><b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">V2 = V3 x V1<\/span><\/span><\/b><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\"><br \/><\/span><\/span><\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 class=\"toc_anchors\" id=\"Rotation_Angle\"><span class=\"font\"><b><span class=\"colour\"><span style=\"font-size: 18px\" class=\"size\">Angle de rotation<\/span><\/span><\/b><\/span><span class=\"colour\"><span style=\"font-size: 18px\" class=\"size\"><br \/><\/span><\/span><\/h2>\n<div>\n <span class=\"font\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Les orientations des \u00e9l\u00e9ments barres qui diff\u00e8rent de l&rsquo;orientation par d\u00e9faut sont d\u00e9finies \u00e0 l&rsquo;aide de l&rsquo;angle de rotation de l&rsquo;\u00e9l\u00e9ment. Cet angle correspond \u00e0 la rotation des axes locaux 2 et 3 autour de l&rsquo;axe local 1.<\/span><\/span><\/span>\n<\/div>\n<div>\n <span class=\"font\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\"><\/p>\n<div>\n     <span style=\"margin: 10px 0px;position: relative;padding: 10px 10px 10px 40px\" class=\"KB_New_Editor_Highlights\"><img decoding=\"async\" src=\"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/04\/prota-doc-40353d6f8d79ed0b0dd0ba8d0127f110.png\" data-type=\"non-resize\" style=\"position: absolute;left: 12px;top: 14px;width: 15px;max-width: 100%\" data-image=\"contentStyle\" alt=\"Remarque\"><\/p>\n<div>\n       Le sens de rotation suit la r\u00e8gle de la main droite. Autrement dit, si vous recourbez la main autour de l&rsquo;axe local 1 en pointant le pouce vers le sens positif de cet axe, le sens de courbure des doigts indique le sens de rotation.\n      <\/div>\n<p><\/span>\n    <\/div>\n<p><\/span><\/span><\/span>\n<\/div>\n<div>\n <span class=\"font\"><span style=\"font-size: 16px\" class=\"size\"><span class=\"colour\">Les figures suivantes pr\u00e9sentent des \u00e9l\u00e9ments barres avec diff\u00e9rents angles de rotation et diff\u00e9rentes orientations selon la r\u00e8gle d&rsquo;orientation par d\u00e9faut.<\/span><\/span><\/span><span style=\"font-size: 16px\" class=\"size\"><br \/><\/span>\n<\/div>\n<p style=\"line-height: 20px;font-style: normal;font-weight: 400;letter-spacing: normal;text-indent: 0px;text-transform: none;white-space: normal\"><span class=\"colour\"><span class=\"font\"><\/span><\/span><span style=\"font-size: 16px\" class=\"size\"><img decoding=\"async\" style=\"padding: 0;max-width: 100%\" src=\"https:\/\/protasoftware.com\/wp-content\/uploads\/2026\/09\/hc-7cec85e921db.png\"><br \/><\/span><\/p>\n<p style=\"line-height: 20px;font-style: normal;font-weight: 400;letter-spacing: normal;text-indent: 0px;text-transform: none;white-space: normal\"><\/p>\n<div>\n \n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Le syst\u00e8me de coordonn\u00e9es local de l&rsquo;\u00e9l\u00e9ment barre&nbsp;est d\u00e9fini en deux \u00e9tapes. Il est d&rsquo;abord form\u00e9 selon les r\u00e8gles d&rsquo;orientation par d\u00e9faut. Il est ensuite&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"template":"","meta":{"_whitepaper_youtube_videos":"","_whitepaper_youtube_url":"","_whitepaper_youtube_thumbnail":"","footnotes":""},"categories":[40],"whitepaper_topic":[],"whitepaper_product":[],"whitepaper_type":[],"class_list":["post-2247","wiki","type-wiki","status-publish","hentry","category-modelling-detailing"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.9 (Yoast SEO v27.9) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>R\u00e8gles d&#039;orientation par d\u00e9faut pour les \u00e9l\u00e9ments barres<\/title>\n<meta name=\"description\" content=\"ProtaStructure applique des r\u00e8gles d&#039;orientation par d\u00e9faut aux \u00e9l\u00e9ments barres. 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