{"id":23172,"date":"2022-01-24T09:00:00","date_gmt":"2022-01-24T07:00:00","guid":{"rendered":"https:\/\/blogs.autodesk.com\/villagebim?p=23172"},"modified":"2022-01-20T15:58:14","modified_gmt":"2022-01-20T13:58:14","slug":"astuce-robot-structural-analysis-prise-en-compte-de-leffort-tranchant-dans-la-fleche-globale-dun-element","status":"publish","type":"post","link":"https:\/\/blogs.autodesk.com\/villagebim\/2022\/01\/astuce-robot-structural-analysis-prise-en-compte-de-leffort-tranchant-dans-la-fleche-globale-dun-element.html","title":{"rendered":"[Astuce] Robot Structural Analysis \u2013 Prise en compte de l\u2019effort tranchant dans la fl\u00e8che globale d\u2019un \u00e9l\u00e9ment"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"857\" height=\"797\" src=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image.jpg\" alt=\"\" class=\"wp-image-23173\" srcset=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image.jpg 857w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-300x279.jpg 300w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-768x714.jpg 768w\" sizes=\"auto, (max-width: 857px) 100vw, 857px\" \/><\/figure>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Il s\u2019agit d\u2019un billet tr\u00e8s sp\u00e9cial qui va vous expliquer comment prendre en compte l\u2019influence de l\u2019effort tranchant dans la fl\u00e8che globale d\u2019un \u00e9l\u00e9ment \u00e0 partir du logiciel Autodesk Robot Structural Analysis.<\/p>\n\n\n\n<p><strong><u>Explications&nbsp;:<\/u><\/strong><\/p>\n\n\n\n<p>En utilisant les m\u00e9thodes de calculs introduites par la<strong> R<\/strong>\u00e9sistance <strong>D<\/strong>es Mat\u00e9riaux (<strong>R<\/strong>DM issue de la th\u00e9orie des poutres), il est tr\u00e8s facile de trouver les d\u00e9form\u00e9es d\u2019une structure sous diverses sollicitations. Ces d\u00e9form\u00e9es sont d\u00e9duites par les efforts internes et principalement par les moments fl\u00e9chissant. Dans certains cas, il devient important de prendre en consid\u00e9ration l\u2019apport des efforts tranchants dans le calcul de la fl\u00e8che et notamment dans les cas \u00e9voqu\u00e9s ci-dessous\u00a0:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Type de structure&nbsp;: Treillis<\/li><li>Module de cisaillement faible (cas par exemple du mat\u00e9riau bois)<\/li><\/ul>\n\n\n\n<p>Le logiciel Autodesk Robot Structural Analysis permet de r\u00e9aliser une multitude d\u2019analyses structurelles et notamment la prise en charge cette probl\u00e9matique. Je vais donc ci-dessous, par un exemple vous expliquer comment prendre en compte ce ph\u00e9nom\u00e8ne.<\/p>\n\n\n\n<p><strong><u>1- Exemple\u00a0:<\/u><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"979\" height=\"364\" src=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-1.jpg\" alt=\"\" class=\"wp-image-23175\" srcset=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-1.jpg 979w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-1-300x112.jpg 300w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-1-768x286.jpg 768w\" sizes=\"auto, (max-width: 979px) 100vw, 979px\" \/><\/figure>\n\n\n\n<p>Il s\u2019agit d\u2019une poutre de section 10 cm x 20cm, mat\u00e9riau de type&nbsp;: CB24_RESINEUX avec les caract\u00e9ristiques suivantes&nbsp;:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Module de Young E=10000 Mpa<\/li><li>Module de cisaillement G= 625 Mpa<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"898\" height=\"615\" src=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-2.jpg\" alt=\"\" class=\"wp-image-23177\" srcset=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-2.jpg 898w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-2-300x205.jpg 300w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-2-768x526.jpg 768w\" sizes=\"auto, (max-width: 898px) 100vw, 898px\" \/><\/figure>\n\n\n\n<p><strong><u>2- Th\u00e9orie et calcul manuel&nbsp;:<\/u><\/strong><\/p>\n\n\n\n<p>La fl\u00e8che th\u00e9orique f<sub>t<\/sub> est d\u00e9finie par la formulation ci-dessous\u00a0:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"428\" height=\"125\" src=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-3.jpg\" alt=\"\" class=\"wp-image-23179\" srcset=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-3.jpg 428w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-3-300x88.jpg 300w\" sizes=\"auto, (max-width: 428px) 100vw, 428px\" \/><\/figure>\n\n\n\n<p>Avec X= (E\/G) x (I\/S\u2019x l\u00b2)<\/p>\n\n\n\n<p>Nota la partie entour\u00e9e par le rectangle rouge est l\u2019apport de l\u2019effort tranchant<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"580\" height=\"401\" src=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-4.jpg\" alt=\"\" class=\"wp-image-23181\" srcset=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-4.jpg 580w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-4-300x207.jpg 300w\" sizes=\"auto, (max-width: 580px) 100vw, 580px\" \/><\/figure>\n\n\n\n<p>Dans cet exemple 42% de la fl\u00e8che provient de l\u2019effort tranchant<\/p>\n\n\n\n<p>Nota&nbsp;: dans le rectangle vert , il s\u2019agit de la fl\u00e8che issue uniquement du moment fl\u00e9chissant (0,3125 mm)<\/p>\n\n\n\n<p>A titre exp\u00e9rimental si G =E = 10000 Mpa\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"72\" src=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-5-1024x72.jpg\" alt=\"\" class=\"wp-image-23183\" srcset=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-5-1024x72.jpg 1024w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-5-300x21.jpg 300w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-5-768x54.jpg 768w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-5-1536x108.jpg 1536w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-5.jpg 1553w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><strong><u>3- Application sur le logiciel Robot Structural Analysis&nbsp;:<\/u><\/strong><\/p>\n\n\n\n<p>Apr\u00e8s avoir introduit toutes les hypoth\u00e8ses (barre, section, mat\u00e9riaux, appuis et chargement) et effectu\u00e9 les calculs, nous trouvons la valeur 0,3125 mm pour la fl\u00e8che maximale de cette poutre.<\/p>\n\n\n\n<p>Comme \u00e9voqu\u00e9 au chapitre pr\u00e9c\u00e9dent, il s\u2019agit de la valeur de la fl\u00e8che sans prise en compte de l\u2019effort tranchant\u00a0!<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"979\" height=\"371\" src=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-6.jpg\" alt=\"\" class=\"wp-image-23185\" srcset=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-6.jpg 979w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-6-300x114.jpg 300w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-6-768x291.jpg 768w\" sizes=\"auto, (max-width: 979px) 100vw, 979px\" \/><\/figure>\n\n\n\n<p>Pour prendre en compte de l\u2019effet de l\u2019effort tranchant, il faut appliquer l\u2019option \u00ab\u00a0<strong><em>prise en compte des d\u00e9formations dues au cisaillement<\/em><\/strong>\u00a0\u00bb \u00e0 la poutre mod\u00e9lis\u00e9e.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"825\" height=\"1024\" src=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-7-825x1024.jpg\" alt=\"\" class=\"wp-image-23187\" srcset=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-7-825x1024.jpg 825w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-7-242x300.jpg 242w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-7-768x953.jpg 768w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-7.jpg 979w\" sizes=\"auto, (max-width: 825px) 100vw, 825px\" \/><\/figure>\n\n\n\n<p>Ensuite, pour que l\u2019int\u00e9gration de l\u2019effort tranchant soit compl\u00e8te, il faudra ajouter des points le long de la poutre comme illustr\u00e9 ci-dessous\u00a0:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"979\" height=\"344\" src=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-8.jpg\" alt=\"\" class=\"wp-image-23189\" srcset=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-8.jpg 979w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-8-300x105.jpg 300w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-8-768x270.jpg 768w\" sizes=\"auto, (max-width: 979px) 100vw, 979px\" \/><\/figure>\n\n\n\n<p>Nota&nbsp;: dans le cas pr\u00e9sent, je n\u2019ai ajout\u00e9 qu\u2019un n\u0153ud suppl\u00e9mentaire \u00e0 mi-port\u00e9e.<\/p>\n\n\n\n<p><strong><u>R\u00e9sultat&nbsp;:<\/u><\/strong><\/p>\n\n\n\n<p>Une fois les calculs effectu\u00e9s, le r\u00e9sultat obtenu par le logiciel est conforme au r\u00e9sultat attendu.<\/p>\n\n\n\n<p><strong>[Astuce] Robot Structural Analysis \u2013 Prise en compte de l\u2019effort tranchant dans la fl\u00e8che globale d\u2019un \u00e9l\u00e9ment<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"979\" height=\"211\" src=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-9.jpg\" alt=\"\" class=\"wp-image-23191\" srcset=\"https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-9.jpg 979w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-9-300x65.jpg 300w, https:\/\/blogs.autodesk.com\/villagebim\/wp-content\/uploads\/sites\/154\/2022\/01\/20\/image-9-768x166.jpg 768w\" sizes=\"auto, (max-width: 979px) 100vw, 979px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Il s\u2019agit d\u2019un billet tr\u00e8s sp\u00e9cial qui va vous expliquer comment prendre en compte l\u2019influence de l\u2019effort tranchant dans la fl\u00e8che globale d\u2019un \u00e9l\u00e9ment \u00e0 partir du logiciel Autodesk Robot Structural Analysis. Explications&nbsp;: En utilisant les m\u00e9thodes de calculs introduites par la R\u00e9sistance Des Mat\u00e9riaux (RDM issue de la th\u00e9orie des poutres), il est [&hellip;]<\/p>\n","protected":false},"author":4760,"featured_media":23193,"menu_order":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[3320,77,3325,6],"tags":[],"class_list":["post-23172","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-analyse","category-simulations-analyses","category-tips-tricks","category-trucs-et-astuces","dhig-theme--light"],"acf":[],"_links":{"self":[{"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/posts\/23172","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/users\/4760"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/comments?post=23172"}],"version-history":[{"count":0,"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/posts\/23172\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/media\/23193"}],"wp:attachment":[{"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/media?parent=23172"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/categories?post=23172"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/tags?post=23172"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}