{"id":1396,"date":"2024-09-23T14:58:52","date_gmt":"2024-09-23T12:58:52","guid":{"rendered":"https:\/\/solveredu.com\/?p=1396"},"modified":"2026-01-27T23:39:20","modified_gmt":"2026-01-27T22:39:20","slug":"th%c3%a9or%c3%a8me-de-steiner","status":"publish","type":"post","link":"https:\/\/solveredu.com\/fr\/post\/twierdzenie-steinera\/","title":{"rendered":"Th\u00e9or\u00e8me de Steiner"},"content":{"rendered":"

Dans cet article, vous apprendrez ce qu'est le th\u00e9or\u00e8me de Steiner et comment l'appliquer dans la pratique.<\/p>\n\n\n\n

    \n
  1. Th\u00e9or\u00e8me de Steiner - d\u00e9finition<\/a><\/li>\n\n\n\n
  2. Th\u00e9or\u00e8me de Steiner - exemple d'application<\/a><\/li>\n<\/ol>\n\n\n\n

    Th\u00e9or\u00e8me de Steiner - d\u00e9finition<\/h1>\n\n\n\n
    Le th\u00e9or\u00e8me de Steiner permet de calculer le moment d'inertie d'une figure plane par rapport \u00e0 un axe parall\u00e8le \u00e0 un axe central donn\u00e9, c'est-\u00e0-dire passant par le centre de gravit\u00e9 de la figure.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
    \"Th\u00e9or\u00e8me<\/figure>\n\n\n\n

    Comme illustr\u00e9 ci-dessus, Th\u00e9or\u00e8me de Steiner<\/strong> nous permet de calculer le moment d'inertie autour de n'importe quel axe parall\u00e8le \u00e9loign\u00e9 de l'axe central de notre figure. Nous connaissons la valeur du moment par rapport \u00e0 l'axe central si nous y ajoutons la surface de la figure \"A\" multipli\u00e9e par la distance de l'axe au carr\u00e9.<\/p>\n\n\n\n

    Le moment de d\u00e9viation selon le th\u00e9or\u00e8me de Steiner est calcul\u00e9 en ajoutant le produit de la surface et de la distance des axes \"a\" et \"b\" \u00e0 la valeur du moment de d\u00e9viation de la figure par rapport aux axes centraux.<\/p>\n\n\n\n

    Th\u00e9or\u00e8me de Steiner - exemple d'application<\/h2>\n\n\n\n
    Vous trouverez d'autres exemples d'utilisation et de calcul des moments de charge \u00e0 l'aide du th\u00e9or\u00e8me de Steiner dans ma calculatrice. Moment d'inertie<\/u><\/a>. N'h\u00e9sitez pas \u00e0 utiliser<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    Pour illustrer l'application du th\u00e9or\u00e8me de Steiner, analysons le rectangle dont les c\u00f4t\u00e9s sont b1 et h1, repr\u00e9sent\u00e9 dans la figure ci-dessous. Vous trouverez les formules des moments d'ordre des figures simples telles qu'un rectangle dans le document suivant entr\u00e9e<\/a>.<\/p>\n\n\n\n

    \"Calcul<\/figure>\n\n\n\n
    \"centre<\/figure>\n\n\n\n

    <\/p>","protected":false},"excerpt":{"rendered":"

    W tym artykule dowiesz si\u0119 co to jest Twierdzenie Steinera oraz jak je zastosowa\u0107 w praktyce. Twierdzenie Steinera – definicja Twierdzenie Steinera umo\u017cliwia wyliczenie momentu bezw\u0142adno\u015bci p\u0142askiej figury wzgl\u0119dem osi, kt\u00f3ra jest r\u00f3wnoleg\u0142a do danej osi centralnej, czyli przechodz\u0105cej przez \u015brodek ci\u0119\u017cko\u015bci figury. Zgodnie z rysunkiem powy\u017cej, Twierdzenie Steinera pozwala nam obliczy\u0107 moment bezw\u0142adno\u015bci wzgl\u0119dem […]<\/p>\n","protected":false},"author":255930052,"featured_media":1398,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"_wpas_customize_per_network":false},"categories":[14815],"tags":[14867,14853,14866,14852],"class_list":["post-1396","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mechanika","tag-moment-bezwladnosci","tag-moment-statyczny","tag-twierdzenie-stainera","tag-srodek-ciezkosci"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner3.jpg?fit=1088%2C581&ssl=1","jetpack_shortlink":"https:\/\/wp.me\/pg3flK-mw","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/posts\/1396","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/comments?post=1396"}],"version-history":[{"count":8,"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/posts\/1396\/revisions"}],"predecessor-version":[{"id":3069,"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/posts\/1396\/revisions\/3069"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/media\/1398"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/media?parent=1396"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/categories?post=1396"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/fr\/wp-json\/wp\/v2\/tags?post=1396"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}