{"id":671,"date":"2022-02-17T09:00:00","date_gmt":"2022-02-17T08:00:00","guid":{"rendered":"https:\/\/technischemechanik.com\/?p=671"},"modified":"2022-02-15T14:39:26","modified_gmt":"2022-02-15T13:39:26","slug":"kraftreduktion-bindungskrafte-und-momente-am-ski-statik","status":"publish","type":"post","link":"https:\/\/technischemechanik.com\/en\/2022\/02\/17\/kraftreduktion-bindungskrafte-und-momente-am-ski-statik\/","title":{"rendered":"Kraftreduktion: Bindungskr\u00e4fte und -momente am Ski (Statik)"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Herzlich Willkommen!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In diesem Beitrag sehen wir uns ein etwas komplizierteres Beispiel zur Kraftreduktion an. N\u00e4mlich einen Ski auf dessen Bindungsbacken sowohl Kr\u00e4fte als auch Momente wirken. <\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p>Die Bindungsbacken eines Skis werden mit den Kr\u00e4ften und Momenten Ft = {\u221250ex+80ey\u2212158ez} N, Fh = {\u221220ex + 60ey \u2212 250ez} N, Mt = {\u22126ex + 4ey + 2ez} Nm und Mh = {\u221220ex + 8ey + 3ez} Nm belastet. Die gegebenen Abst\u00e4nde sind a=120mm und b=800mm. <\/p><p>Bestimme die \u00e4quivalente Kraft und das \u00e4quivalente Moment im Punkt P. Schreibe das Ergebnis als kartesischen Vektor an.<\/p><cite>Quelle: Aufgabe 4.170 (S. 223) aus Russell C. Hibbeler, Technische Mechanik 1 Statik, 12. Auflage, 2012 Pearson GmbH, M\u00fcnchen<\/cite><\/blockquote>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"712\" height=\"400\" data-attachment-id=\"674\" data-permalink=\"https:\/\/technischemechanik.com\/en\/abb03\/\" data-orig-file=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/02\/abb03.jpg?fit=1035%2C582&amp;ssl=1\" data-orig-size=\"1035,582\" 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=\"abb03\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/02\/abb03.jpg?fit=300%2C169&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/02\/abb03.jpg?fit=712%2C400&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/02\/abb03.jpg?resize=712%2C400&#038;ssl=1\" alt=\"\" class=\"wp-image-674\" \/><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Im Gegensatz zu einem Zentralkraftsystem muss hier auch ein resultierendes Moment im Reduktionspunkt auftreten. Nur dann ist es m\u00f6glich ein \u00e4quivalentes mechanisches System zu erhalten. Dazu m\u00fcssen sowohl die Kraftvektoren addiert werden, als auch die Einzelmomente aus den Kr\u00e4ften und eingepr\u00e4gten Momenten errechnet werden. Die detaillierte Rechnung dazu findet ihr wie \u00fcblich im verlinkten YouTube Video. Viel Spa\u00df dabei!<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-rich is-provider-handler-einbetten wp-block-embed-handler-einbetten wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"712\" height=\"401\" src=\"https:\/\/www.youtube.com\/embed\/doUJsmfMZQA?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=en-GB&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span>\n<\/div><figcaption><br><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Stellt bitte wie immer gerne Fragen, wenn es Unklarheiten gibt. Ich freue mich au\u00dferdem \u00fcber Anregungen zu weiteren Inhalte und generell eure R\u00fcckmeldungen. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Bis bald,<br>Markus <\/p>\n\n\n<div class=\"crowdsignal-feedback-wrapper\" data-crowdsignal-feedback=\"{&quot;feedbackPlaceholder&quot;:&quot;Sag mir bitte was dir besonders gefallen hat und was ich verbessern soll! Vielen Dank!&quot;,&quot;submitText&quot;:&quot;Danke f\\u00fcr dein Feedback!&quot;,&quot;surveyId&quot;:2705235,&quot;title&quot;:&quot;Feedback&quot;,&quot;emailResponses&quot;:false,&quot;emailPlaceholder&quot;:&quot;Your Email&quot;,&quot;emailRequired&quot;:false,&quot;header&quot;:&quot;\\ud83d\\udc4b Hey there!&quot;,&quot;hideBranding&quot;:false,&quot;hideTriggerShadow&quot;:false,&quot;submitButtonLabel&quot;:&quot;Submit&quot;,&quot;toggleOn&quot;:&quot;click&quot;,&quot;triggerLabel&quot;:&quot;Feedback&quot;,&quot;x&quot;:&quot;left&quot;,&quot;y&quot;:&quot;bottom&quot;,&quot;status&quot;:&quot;open&quot;,&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true},&quot;nonce&quot;:&quot;1e976aaf7a&quot;}\"><\/div>\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%;\"><div class=\"crowdsignal-vote-wrapper\" data-crowdsignal-vote=\"{&quot;pollId&quot;:&quot;29311620-3302-4a28-8c62-34c614948b60&quot;,&quot;title&quot;:&quot;Unbenannte Abstimmung 20&quot;,&quot;hideBranding&quot;:false,&quot;pollStatus&quot;:&quot;open&quot;,&quot;size&quot;:&quot;medium&quot;,&quot;borderWidth&quot;:1,&quot;borderRadius&quot;:5,&quot;hideResults&quot;:false,&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true},&quot;apiPollData&quot;:{&quot;id&quot;:11045854,&quot;question&quot;:&quot;&quot;,&quot;note&quot;:&quot;&quot;,&quot;settings&quot;:{&quot;title&quot;:&quot;Unbenannte Abstimmung 20&quot;,&quot;after_vote&quot;:&quot;results&quot;,&quot;after_message&quot;:&quot;&quot;,&quot;randomize_answers&quot;:false,&quot;restrict_vote_repeat&quot;:false,&quot;captcha&quot;:false,&quot;multiple_choice&quot;:false,&quot;redirect_url&quot;:&quot;&quot;,&quot;close_status&quot;:&quot;open&quot;,&quot;close_after&quot;:false},&quot;answers&quot;:[{&quot;answer_text&quot;:&quot;up&quot;,&quot;id&quot;:50695557,&quot;client_id&quot;:&quot;4ae8e890-5309-41a3-bae2-719a23a5da36&quot;},{&quot;answer_text&quot;:&quot;down&quot;,&quot;id&quot;:50695558,&quot;client_id&quot;:&quot;b583d8b0-1c19-492c-a781-9f4dfba236ce&quot;}],&quot;source_link&quot;:&quot;https:\\\/\\\/maomech.wordpress.com&quot;,&quot;client_id&quot;:&quot;29311620-3302-4a28-8c62-34c614948b60&quot;}}\">\n<div data-crowdsignal-vote-item=\"{&quot;answerId&quot;:&quot;4ae8e890-5309-41a3-bae2-719a23a5da36&quot;,&quot;type&quot;:&quot;up&quot;,&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true}}\"><\/div>\n\n<div data-crowdsignal-vote-item=\"{&quot;answerId&quot;:&quot;b583d8b0-1c19-492c-a781-9f4dfba236ce&quot;,&quot;type&quot;:&quot;down&quot;,&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true}}\"><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%;\"><div class=\"crowdsignal-applause-wrapper\" data-crowdsignal-applause=\"{&quot;pollId&quot;:&quot;94052372-60ee-4246-bdb3-b44cfaeeec3b&quot;,&quot;title&quot;:&quot;Unbenannter Applaus&quot;,&quot;answerId&quot;:&quot;4951fcb8-b48f-428e-82e4-90330cd7aed6&quot;,&quot;hideBranding&quot;:false,&quot;size&quot;:&quot;medium&quot;,&quot;pollStatus&quot;:&quot;open&quot;,&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true},&quot;apiPollData&quot;:{&quot;id&quot;:11045855,&quot;question&quot;:&quot;&quot;,&quot;note&quot;:&quot;&quot;,&quot;settings&quot;:{&quot;title&quot;:&quot;Unbenannter Applaus&quot;,&quot;after_vote&quot;:&quot;results&quot;,&quot;after_message&quot;:&quot;&quot;,&quot;randomize_answers&quot;:false,&quot;restrict_vote_repeat&quot;:false,&quot;captcha&quot;:false,&quot;multiple_choice&quot;:false,&quot;redirect_url&quot;:&quot;&quot;,&quot;close_status&quot;:&quot;open&quot;,&quot;close_after&quot;:false},&quot;answers&quot;:[{&quot;answer_text&quot;:&quot;clap&quot;,&quot;id&quot;:50695559,&quot;client_id&quot;:&quot;4951fcb8-b48f-428e-82e4-90330cd7aed6&quot;}],&quot;source_link&quot;:&quot;https:\\\/\\\/maomech.wordpress.com&quot;,&quot;client_id&quot;:&quot;94052372-60ee-4246-bdb3-b44cfaeeec3b&quot;}}\"><\/div><\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Herzlich Willkommen! In diesem Beitrag sehen wir uns ein etwas komplizierteres Beispiel zur Kraftreduktion an. N\u00e4mlich einen Ski auf dessen Bindungsbacken sowohl Kr\u00e4fte als auch Momente wirken. Die Bindungsbacken eines Skis werden mit den Kr\u00e4ften und Momenten Ft = {\u221250ex+80ey\u2212158ez} N, Fh = {\u221220ex + 60ey \u2212 250ez} N, Mt = {\u22126ex + 4ey + &hellip; <a href=\"https:\/\/technischemechanik.com\/en\/2022\/02\/17\/kraftreduktion-bindungskrafte-und-momente-am-ski-statik\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Kraftreduktion: Bindungskr\u00e4fte und -momente am Ski (Statik)<\/span><\/a><\/p>","protected":false},"author":110396568,"featured_media":657,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","_crdt_document":"","advanced_seo_description":"","jetpack_seo_html_title":"","jetpack_seo_noindex":false,"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":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[2602546,2820248,172484],"tags":[25466,729611524,100678,414019,35890,5167337,750913306,34966364,727961753,350894,166867,113216,290680250,163250810,2517859,8207,662707,720191,1213491,143003,10126,73726871,750913302,161115,750913295,2411,1121513,727213064,729611525,727213062,2326513,2722,1268153,271082537,727961757,729611523],"class_list":["post-671","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ubungsaufgaben","category-reduktion","category-statik","tag-beispiel","tag-ebenes-zentrales-kraftesystem","tag-einfuhrung","tag-erklart","tag-featured","tag-festigkeitslehre","tag-freikorperbild","tag-freischneiden","tag-gleichgewicht","tag-grundlagen","tag-hochschule","tag-kraft","tag-kraftsystem","tag-kraftvektor","tag-krafte","tag-lernen","tag-maschinenbau","tag-mechanik","tag-nachhilfe","tag-newton","tag-physik","tag-physik-nachhilfe","tag-reduktion","tag-screencast","tag-statik","tag-studium","tag-technische-mechanik","tag-technische-mechanik-1","tag-technische-mechanik-grundlagen","tag-technische-mechanik-2","tag-tm-1","tag-uni","tag-verstehen","tag-zentrales-kraftsystem","tag-zentrales-kraftesystem","tag-zentralkraftsystem"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/technischemechanik.com\/wp-content\/uploads\/2022\/02\/reduktion-wordpress.png?fit=512%2C512&ssl=1","jetpack_likes_enabled":true,"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7UJuu-aP","jetpack-related-posts":[],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/posts\/671","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/users\/110396568"}],"replies":[{"embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/comments?post=671"}],"version-history":[{"count":3,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/posts\/671\/revisions"}],"predecessor-version":[{"id":676,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/posts\/671\/revisions\/676"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/media\/657"}],"wp:attachment":[{"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/media?parent=671"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/categories?post=671"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/technischemechanik.com\/en\/wp-json\/wp\/v2\/tags?post=671"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}