{"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\/cs\/post\/twierdzenie-steinera\/","title":{"rendered":"Steinerova v\u011bta"},"content":{"rendered":"

V tomto \u010dl\u00e1nku se dozv\u00edte, co je Steinerova v\u011bta a jak ji pou\u017e\u00edt v praxi.<\/p>\n\n\n\n

    \n
  1. Steinerova v\u011bta - definice<\/a><\/li>\n\n\n\n
  2. Steinerova v\u011bta - p\u0159\u00edklad pou\u017eit\u00ed<\/a><\/li>\n<\/ol>\n\n\n\n

    Steinerova v\u011bta - definice<\/h1>\n\n\n\n
    Steinerova v\u011bta umo\u017e\u0148uje vypo\u010d\u00edtat moment setrva\u010dnosti rovinn\u00e9ho \u00fatvaru vzhledem k ose, kter\u00e1 je rovnob\u011b\u017en\u00e1 s danou st\u0159edovou osou, tj. proch\u00e1z\u00ed t\u011b\u017ei\u0161t\u011bm \u00fatvaru.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
    \"Stainerova<\/figure>\n\n\n\n

    Jak je zn\u00e1zorn\u011bno v\u00fd\u0161e, Steinerova v\u011bta<\/strong> n\u00e1m umo\u017e\u0148uje vypo\u010d\u00edtat moment setrva\u010dnosti kolem libovoln\u00e9 rovnob\u011b\u017en\u00e9 osy vzd\u00e1len\u00e9 od st\u0159edov\u00e9 osy na\u0161eho obr\u00e1zku. Hodnotu momentu vzhledem k centr\u00e1ln\u00ed ose zn\u00e1me, pokud k n\u00ed p\u0159i\u010dteme plochu obrazce \u201eA\u201d vyn\u00e1sobenou vzd\u00e1lenost\u00ed osy na druhou.<\/p>\n\n\n\n

    Moment odchylky podle Steinerovy v\u011bty se vypo\u010d\u00edt\u00e1 tak, \u017ee se k hodnot\u011b momentu odchylky obrazce vzhledem ke st\u0159edov\u00fdm os\u00e1m p\u0159i\u010dte sou\u010din plochy a vzd\u00e1lenosti os \u201ea\u201d a \u201eb\u201d.<\/p>\n\n\n\n

    Steinerova v\u011bta - p\u0159\u00edklad pou\u017eit\u00ed<\/h2>\n\n\n\n
    Dal\u0161\u00ed p\u0159\u00edklady pou\u017eit\u00ed a v\u00fdpo\u010dtu n\u00e1bojov\u00fdch moment\u016f pomoc\u00ed Steinerovy v\u011bty najdete v m\u00e9 kalkula\u010dce. Moment setrva\u010dnosti<\/u><\/a>. Nev\u00e1hejte pou\u017e\u00edt<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    Jako p\u0159\u00edklad pou\u017eit\u00ed Steinerovy v\u011bty si rozebereme obd\u00e9ln\u00edk se stranami b1 a h1 zn\u00e1zorn\u011bn\u00fd na obr\u00e1zku n\u00ed\u017ee. Vzorce pro momenty \u0159\u00e1du jednoduch\u00fdch \u00fatvar\u016f, jako je obd\u00e9ln\u00edk, najdete v tomto textu vstup<\/a>.<\/p>\n\n\n\n

    \"V\u00fdpo\u010det<\/figure>\n\n\n\n
    \"t\u011b\u017ei\u0161t\u011b<\/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\/cs\/wp-json\/wp\/v2\/posts\/1396","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/users\/255930052"}],"replies":[{"embeddable":true,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/comments?post=1396"}],"version-history":[{"count":8,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/posts\/1396\/revisions"}],"predecessor-version":[{"id":3069,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/posts\/1396\/revisions\/3069"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/media\/1398"}],"wp:attachment":[{"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/media?parent=1396"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/categories?post=1396"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/solveredu.com\/cs\/wp-json\/wp\/v2\/tags?post=1396"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}