{"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":"teorema-di-steiner","status":"publish","type":"post","link":"https:\/\/solveredu.com\/it\/post\/twierdzenie-steinera\/","title":{"rendered":"Teorema di Steiner"},"content":{"rendered":"<p class=\"wp-block-paragraph\" id=\"foo\">In questo articolo scoprirete cos'\u00e8 il Teorema di Steiner e come applicarlo in pratica.<\/p>\n\n\n\n<ol id=\"91wpyzoaaa5swa1375982\" class=\"wp-block-list\">\n<li><a href=\"#1qctj\">Teorema di Steiner - definizione<\/a><\/li>\n\n\n\n<li><a href=\"#fehhb35357\">Teorema di Steiner - esempio di applicazione<\/a><\/li>\n<\/ol>\n\n\n\n<h1 id=\"1qctj\" class=\"wp-block-heading has-large-font-size\">Teorema di Steiner - definizione<\/h1>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Il teorema di Steiner permette di calcolare il momento d'inerzia di una figura piana rispetto a un asse parallelo a un dato asse centrale, cio\u00e8 passante per il baricentro della figura.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"547\" data-attachment-id=\"1400\" data-permalink=\"https:\/\/solveredu.com\/it\/post\/twierdzenie-steinera\/steiner3-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner3-1.jpg?fit=1088%2C581&amp;ssl=1\" data-orig-size=\"1088,581\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Steiner3\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner3-1.jpg?fit=1024%2C547&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner3-1.jpg?resize=1024%2C547&#038;ssl=1\" alt=\"Teorema di Stainer, SolverEdu\" class=\"wp-image-1400\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner3-1.jpg?resize=1024%2C547&amp;ssl=1 1024w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner3-1.jpg?resize=300%2C160&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner3-1.jpg?resize=768%2C410&amp;ssl=1 768w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner3-1.jpg?w=1088&amp;ssl=1 1088w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"xjpzr30153\">Come illustrato sopra, <strong>Teorema di Steiner<\/strong> ci permette di calcolare il momento d'inerzia intorno a qualsiasi asse parallelo lontano dall'asse centrale della nostra figura. Conosciamo il valore del momento rispetto all'asse centrale se ad esso sommiamo l'area della figura \"A\" moltiplicata per la distanza dell'asse al quadrato.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"b0q6f33254\">Il momento di deviazione secondo il Teorema di Steiner si calcola sommando il prodotto dell'area e della distanza degli assi \"a\" e \"b\" al valore del momento di deviazione della figura rispetto agli assi centrali.<\/p>\n\n\n\n<h2 id=\"fehhb35357\" class=\"wp-block-heading has-medium-font-size\">Teorema di Steiner - esempio di applicazione<\/h2>\n\n\n\n<figure style=\"font-size:clamp(14px, 0.875rem + ((1vw - 3.2px) * 0.536), 20px);\" class=\"wp-block-table\"><table class=\"has-theme-5-background-color has-text-color has-background has-link-color has-fixed-layout\" style=\"color:#ffffff\"><tbody><tr><td>Potete trovare altri esempi di utilizzo e calcolo dei momenti di carica utilizzando il Teorema di Steiner nella mia <a href=\"https:\/\/solveredu.com\/it\/calcolatore-momento-inerzia\/\" target=\"_blank\" rel=\"noreferrer noopener\"><u>Calcolatrice Momento d'inerzia<\/u><\/a>. Sentitevi liberi di usare<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"du0jt36071\">Come esempio di applicazione del Teorema di Steiner, analizziamo il rettangolo con lati b1 e h1 mostrato nella figura seguente. Le formule per i momenti d'ordine di figure semplici come il rettangolo sono riportate in questo documento <a href=\"https:\/\/solveredu.com\/it\/post\/momenti-inerzia-figure-piane\/\">ingresso<\/a>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"553\" height=\"585\" data-attachment-id=\"1401\" data-permalink=\"https:\/\/solveredu.com\/it\/post\/twierdzenie-steinera\/steiner4\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner4.jpg?fit=553%2C585&amp;ssl=1\" data-orig-size=\"553,585\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Steiner4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner4.jpg?fit=553%2C585&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner4.jpg?resize=553%2C585&#038;ssl=1\" alt=\"Calcolo del momento d&#039;inerzia per gli assi x e y utilizzando il teorema di Steiner - soluzione di esempio, SolverEdu\" class=\"wp-image-1401\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner4.jpg?w=553&amp;ssl=1 553w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner4.jpg?resize=284%2C300&amp;ssl=1 284w\" sizes=\"auto, (max-width: 553px) 100vw, 553px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"343\" data-attachment-id=\"1402\" data-permalink=\"https:\/\/solveredu.com\/it\/post\/twierdzenie-steinera\/steiner5\/\" data-orig-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner5.jpg?fit=1118%2C375&amp;ssl=1\" data-orig-size=\"1118,375\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Steiner5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner5.jpg?fit=1024%2C343&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner5.jpg?resize=1024%2C343&#038;ssl=1\" alt=\"baricentro del rettangolo, SolverEdu\" class=\"wp-image-1402\" srcset=\"https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner5.jpg?resize=1024%2C343&amp;ssl=1 1024w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner5.jpg?resize=300%2C101&amp;ssl=1 300w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner5.jpg?resize=768%2C258&amp;ssl=1 768w, https:\/\/i0.wp.com\/solveredu.com\/wp-content\/uploads\/2024\/09\/Steiner5.jpg?w=1118&amp;ssl=1 1118w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>","protected":false},"excerpt":{"rendered":"<p>W tym artykule dowiesz si\u0119 co to jest Twierdzenie Steinera oraz jak je zastosowa\u0107 w praktyce. Twierdzenie Steinera &#8211; 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 [&hellip;]<\/p>\n","protected":false},"author":255930052,"featured_media":1398,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_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,"jetpack_post_was_ever_published":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\/it\/wp-json\/wp\/v2\/posts\/1396","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/comments?post=1396"}],"version-history":[{"count":8,"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/posts\/1396\/revisions"}],"predecessor-version":[{"id":3069,"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/posts\/1396\/revisions\/3069"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/media\/1398"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/media?parent=1396"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/categories?post=1396"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/it\/wp-json\/wp\/v2\/tags?post=1396"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}