{"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":"steiner-s-theorem","status":"publish","type":"post","link":"https:\/\/solveredu.com\/hu\/post\/twierdzenie-steinera\/","title":{"rendered":"Steiner-t\u00e9tel"},"content":{"rendered":"

Ebben a cikkben megtudhatod, mi a Steiner-t\u00e9tel, \u00e9s hogyan alkalmazhatod a gyakorlatban.<\/p>\n\n\n\n

    \n
  1. Steiner-t\u00e9tel - defin\u00edci\u00f3<\/a><\/li>\n\n\n\n
  2. Steiner-t\u00e9tel - alkalmaz\u00e1si p\u00e9lda<\/a><\/li>\n<\/ol>\n\n\n\n

    Steiner-t\u00e9tel - defin\u00edci\u00f3<\/h1>\n\n\n\n
    A Steiner-t\u00e9tel lehet\u0151v\u00e9 teszi egy s\u00edkbeli alakzat tehetetlens\u00e9gi nyomat\u00e9k\u00e1nak kisz\u00e1m\u00edt\u00e1s\u00e1t egy adott k\u00f6zponti tengellyel p\u00e1rhuzamos, azaz az alakzat s\u00falypontj\u00e1n \u00e1thalad\u00f3 tengelyre vonatkoztatva.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
    \"Stainer<\/figure>\n\n\n\n

    A fentiek szerint, Steiner-t\u00e9tel<\/strong> lehet\u0151v\u00e9 teszi sz\u00e1munkra, hogy kisz\u00e1m\u00edtsuk a tehetetlens\u00e9gi nyomat\u00e9kot az \u00e1br\u00e1nk k\u00f6zponti tengely\u00e9t\u0151l t\u00e1vol es\u0151 b\u00e1rmely p\u00e1rhuzamos tengely k\u00f6r\u00fcl. A k\u00f6zponti tengelyhez viszony\u00edtott nyomat\u00e9k \u00e9rt\u00e9k\u00e9t akkor ismerj\u00fck meg, ha hozz\u00e1adjuk az \u00e1bra \u201eA\u201d ter\u00fclet\u00e9t megszorozva a tengely t\u00e1vols\u00e1g\u00e1nak n\u00e9gyzet\u00e9vel.<\/p>\n\n\n\n

    A Steiner-t\u00e9tel szerinti elt\u00e9r\u00e9si momentumot \u00fagy sz\u00e1m\u00edtjuk ki, hogy az \u201ea\u201d \u00e9s \u201eb\u201d tengelyek ter\u00fclet\u00e9nek \u00e9s t\u00e1vols\u00e1g\u00e1nak szorzat\u00e1t hozz\u00e1adjuk az \u00e1bra k\u00f6zponti tengelyekhez viszony\u00edtott elt\u00e9r\u00e9si momentum\u00e1nak \u00e9rt\u00e9k\u00e9hez.<\/p>\n\n\n\n

    Steiner-t\u00e9tel - alkalmaz\u00e1si p\u00e9lda<\/h2>\n\n\n\n
    Tov\u00e1bbi p\u00e9ld\u00e1kat tal\u00e1l a t\u00f6lt\u00e9smomentumok haszn\u00e1lat\u00e1ra \u00e9s kisz\u00e1m\u00edt\u00e1s\u00e1ra a Steiner-t\u00e9tel seg\u00edts\u00e9g\u00e9vel a sz\u00e1mol\u00f3g\u00e9pemben. Tehetetlens\u00e9gi nyomat\u00e9k<\/u><\/a>. Haszn\u00e1lja b\u00e1tran<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    A Steiner-t\u00e9tel alkalmaz\u00e1s\u00e1ra p\u00e9ldak\u00e9nt elemezz\u00fck az al\u00e1bbi \u00e1br\u00e1n l\u00e1that\u00f3 b1 \u00e9s h1 oldal\u00fa t\u00e9glalapot. Az olyan egyszer\u0171 alakzatok, mint a t\u00e9glalap, rendez\u00e9si momentumainak k\u00e9pleteit itt tal\u00e1lod meg bel\u00e9p\u00e9s<\/a>.<\/p>\n\n\n\n

    \"Az<\/figure>\n\n\n\n
    \"a<\/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_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,"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\/hu\/wp-json\/wp\/v2\/posts\/1396","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/comments?post=1396"}],"version-history":[{"count":8,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/posts\/1396\/revisions"}],"predecessor-version":[{"id":3069,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/posts\/1396\/revisions\/3069"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/media\/1398"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/media?parent=1396"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/categories?post=1396"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/hu\/wp-json\/wp\/v2\/tags?post=1396"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}