{"id":3975,"date":"2026-10-14T20:29:45","date_gmt":"2026-10-14T19:29:45","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/muhendislik\/euler-burkulma-yuku\/"},"modified":"2026-10-14T20:29:45","modified_gmt":"2026-10-14T19:29:45","slug":"euler-burkulma-yuku","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/muhendislik\/euler-burkulma-yuku\/","title":{"rendered":"Euler Burkulma Y\u00fck\u00fc"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Narin bir kolonun ne zaman burkulaca\u011f\u0131n\u0131 hesaplay\u0131n<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"3975\" data-favorite-title=\"Euler Burkulma\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/muhendislik\/euler-burkulma-yuku\/\" data-favorite-excerpt=\"Narin bir kolonun kritik Euler burkulma y\u00fck\u00fcn\u00fc uzunluk, Young mod\u00fcl\u00fc, atalet momenti ve u\u00e7 ko\u015fullar\u0131ndan hesaplay\u0131n. Kolon \u00f6zelliklerini girin ve kolonun hangi y\u00fckte burkuld\u0131\u011f\u0131n\u0131 g\u00f6r\u00fcn.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-civil\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/muhendislik\/euler-burkulma-yuku\/\" method=\"POST\" class=\"calculator\" id=\"calculator-3975\" data-post=\"3975\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Kolon uzunlu\u011fu (L)<\/label><div class=\"term\">L<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"kolon_uzunluu_l\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0.01\" value=\"3\"\/><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"birim\" aria-label=\"Birim\"><option value=\"m\" selected>m<\/option><option value=\"ft\">ft<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-1\">Kolonun mesnetsiz (desteklenmemi\u015f) uzunlu\u011fu<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-3\">Elastisite mod\u00fcl\u00fc (E)<\/label><div class=\"term\">E<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"elastisite_modl_e\" id=\"field-3\" aria-describedby=\"calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1.0E-6\" value=\"200\"\/><div class=\"grid grid-cols-1\"><select id=\"field-4\" name=\"birim\" aria-label=\"Birim\"><option value=\"GPa\" selected>GPa<\/option><option value=\"MPa\">MPa<\/option><option value=\"psi\">psi<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-3\">\u00c7elik \u2248 200 GPa (29.000 ksi), al\u00fcminyum \u2248 69 GPa, ah\u015fap \u2248 11 GPa<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-5\">Atalet momenti (I)<\/label><div class=\"term\">I<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"atalet_momenti_i\" id=\"field-5\" aria-describedby=\"calc-info-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1.0E-6\" value=\"1000\"\/><div class=\"grid grid-cols-1\"><select id=\"field-6\" name=\"birim\" aria-label=\"Birim\"><option value=\"cm4\" selected>cm\u2074<\/option><option value=\"mm4\">mm\u2074<\/option><option value=\"in4\">in\u2074<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-5\">Kesitin zay\u0131f (burkulma) ekseni etraf\u0131ndaki alan atalet momenti<\/small><\/div><div class=\"field\" id=\"input-4\"><label for=\"field-7\">U\u00e7 ko\u015fulu (K)<\/label><div class=\"grid grid-cols-1\"><select id=\"field-7\" name=\"u_koulu_k\"><option value=\"1\" selected>Mafsal\u2013mafsal (K = 1)<\/option><option value=\"2\">Ankastre\u2013serbest, konsol (K = 2)<\/option><option value=\"0.5\">Ankastre\u2013ankastre (K = 0.5)<\/option><option value=\"0.7\">Ankastre\u2013mafsal (K = 0.7)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"3975\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Burkulma Sonu\u00e7lar\u0131<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Kritik burkulma y\u00fck\u00fc<\/span><span class=\"result-term\">Pcr<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>Etkin uzunluk<\/span><span class=\"result-term\">KL<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"3975\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Euler Burkulma<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ P_{cr} = \\frac{\\pi^2 E I}{(K L)^2} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Buradan:<\/strong><\/p>\n<ul>\n<li>\\(P_{cr}\\) \u2014 kritik burkulma y\u00fck\u00fc (N)<\/li>\n<li>\\(E\\) \u2014 kolon malzemesinin Young mod\u00fcl\u00fc (Pa)<\/li>\n<li>\\(I\\) \u2014 kesitin zay\u0131f eksen etraf\u0131ndaki atalet momenti (m\u2074)<\/li>\n<li>\\(L\\) \u2014 kolonun mesnetsiz (ger\u00e7ek) uzunlu\u011fu (m)<\/li>\n<li>\\(K\\) \u2014 u\u00e7 ko\u015fullar\u0131na g\u00f6re belirlenen etkin uzunluk katsay\u0131s\u0131 (boyutsuz)<\/li>\n<\/ul>\n<p>Form\u00fcl, tam d\u00fcz bir narin kolonun karars\u0131z h\u00e2le gelip yana burkuld\u0131\u011f\u0131 eksenel bas\u0131n\u00e7 y\u00fck\u00fcn\u00fc verir. \\(K L\\) \u00e7arp\u0131m\u0131 <em>etkin uzunluktur<\/em>: e\u011filme momentinin s\u0131f\u0131r oldu\u011fu noktalar aras\u0131ndaki mesafe, ya da ayn\u0131 burkulma y\u00fck\u00fcne sahip e\u015fde\u011fer bir mafsall\u0131\u2013mafsall\u0131 kolonun uzunlu\u011fu.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Euler Burkulma \u2013 Hesaplama \u00d6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> her iki ucu mafsall\u0131, 3 m uzunlu\u011funda bir \u00e7elik kolon. \u00c7eli\u011fin Young mod\u00fcl\u00fc \\(E = 200\\ \\text{GPa}\\), kesitin burkulma eksenine g\u00f6re atalet momenti \\(I = 1000\\ \\text{cm}^4 = 1.0 \\times 10^{-5}\\ \\text{m}^4\\). Mafsall\u0131\u2013mafsall\u0131 u\u00e7lar i\u00e7in \\(K = 1\\).<\/p>\n<p>\\[ K L = 1 \\times 3 = 3\\ \\text{m} \\]<\/p>\n<p>\\[ P_{cr} = \\frac{\\pi^2 \\times 200 \\times 10^9 \\times 1.0 \\times 10^{-5}}{3^2} = \\frac{1.9739 \\times 10^7}{9} \\approx 2.193 \\times 10^6\\ \\text{N} \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> \\(P_{cr} \\approx 2193\\ \\text{kN}\\) (yakla\u015f\u0131k 493 kip). Bundan b\u00fcy\u00fck her eksenel y\u00fck kolonu burkuldurur; etkin uzunluk 3 m'dir.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 Nas\u0131l Kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>Kolon uzunlu\u011funu (L)<\/strong> \u2014 mesneler aras\u0131ndaki mesnetsiz uzunlu\u011fu \u2014 girin ve birimini (m veya ft) se\u00e7in.<\/li>\n<li>Malzemenin <strong>Young mod\u00fcl\u00fcn\u00fc (E)<\/strong> girin ve GPa, MPa veya psi se\u00e7in. \u00c7elik yakla\u015f\u0131k 200 GPa, al\u00fcminyum yakla\u015f\u0131k 69 GPa, ah\u015fap yakla\u015f\u0131k 11 GPa'd\u0131r.<\/li>\n<li>Kesitin, burkulman\u0131n beklenildi\u011fi eksen \u2014 genellikle zay\u0131f eksen \u2014 etraf\u0131ndaki <strong>atalet momentini (I)<\/strong> girin ve cm\u2074, mm\u2074 veya in\u2074 birimini se\u00e7in.<\/li>\n<li>Kolonun u\u00e7lar\u0131nda ger\u00e7ekte nas\u0131l mesnetlendi\u011fine uyan <strong>u\u00e7 ko\u015fulunu (K)<\/strong> se\u00e7in.<\/li>\n<li>Sonu\u00e7 panelinden <strong>kritik burkulma y\u00fck\u00fcn\u00fc<\/strong> ve <strong>etkin uzunlu\u011fu<\/strong> okuyun.<\/li>\n<\/ol>\n<h2>Euler Burkulmas\u0131 Nedir?<\/h2>\n<p>Narin bir eleman bas\u0131n\u00e7 alt\u0131nda y\u00fcklendi\u011finde, ezilerek de\u011fil, bir anda yana \u00e7ekilerek bozulabilir. Bu karars\u0131zl\u0131k durumuna <strong>burkulma<\/strong> denir; Leonhard Euler 1744'te bunun hangi y\u00fckle ger\u00e7ekle\u015fti\u011finin malzeme dayan\u0131m\u0131na de\u011fil, rijitli\u011fe ve geometriye ba\u011fl\u0131 oldu\u011funu g\u00f6sterdi. Uzun, ince bir kolon, malzemesinin bas\u0131n\u00e7 dayan\u0131m\u0131n\u0131n \u00e7ok alt\u0131ndaki bir y\u00fck alt\u0131nda burkulabilir; kolonlar\u0131n, \u00e7ubuklar\u0131n, tezg\u00e2h ayaklar\u0131n\u0131n ve \u00e7aprazlar\u0131n tasar\u0131m\u0131n\u0131 bu y\u00fczden burkulma belirler.<\/p>\n<p>Euler form\u00fcl\u00fcn\u00fcn kilit noktas\u0131, uzunlukla ters kare ba\u011f\u0131nt\u0131s\u0131d\u0131r: etkin uzunluk iki kat\u0131na \u00e7\u0131karsa burkulma y\u00fck\u00fc d\u00f6rtte bire d\u00fc\u015fer. Narinli\u011fin bu kadar \u00f6nemli olmas\u0131n\u0131n ve u\u00e7lar\u0131 ankastre bir kolonun \u2014 etkin uzunlu\u011fu yar\u0131ya indi\u011fi i\u00e7in \u2014 kapasitesinin d\u00f6rt kat\u0131na \u00e7\u0131kmas\u0131n\u0131n nedeni budur. \\(P_{cr}\\) bir e\u015fik de\u011ferdir, \u00e7al\u0131\u015fma y\u00fck\u00fc de\u011fil: tam d\u00fcz ve tam eksende y\u00fcklenmi\u015f bir kolonun kuramsal olarak karars\u0131z h\u00e2le geldi\u011fi y\u00fck\u00fc g\u00f6sterir.<\/p>\n<p>Sonucu yorumlamak kolayd\u0131r. Uygulad\u0131\u011f\u0131n\u0131z y\u00fck \\(P_{cr}\\)'nin \u00e7ok alt\u0131ndaysa kolon Euler anlam\u0131nda kararl\u0131d\u0131r (yine de ba\u015fka bi\u00e7imlerde bozulabilir, a\u015fa\u011f\u0131ya bak\u0131n). Y\u00fck \\(P_{cr}\\)'ye yakla\u015f\u0131rsa ya da onu a\u015farsa kolon burkulur \u2014 neredeyse hi\u00e7 uyar\u0131 vermeden yana sehim yapar ve \u00e7\u00f6kebilir. Bu y\u00fczden ger\u00e7ek tasar\u0131mlarda \u00f6nemli bir g\u00fcvenlik katsay\u0131s\u0131 g\u00f6zetilir; izin verilen y\u00fck olarak genellikle \\(P_{cr}\\)'nin yaln\u0131zca %40\u201360'\u0131 kullan\u0131l\u0131r.<\/p>\n<h2>U\u00e7 Ko\u015fullar\u0131 ve Etkin Uzunluk Katsay\u0131s\u0131 K<\/h2>\n<p>\\(K\\) katsay\u0131s\u0131 ger\u00e7ek uzunlu\u011fu etkin uzunlu\u011fa \\(KL\\) d\u00f6n\u00fc\u015ft\u00fcr\u00fcr \u2014 ayn\u0131 burkulma y\u00fck\u00fcne sahip e\u015fde\u011fer mafsall\u0131\u2013mafsall\u0131 kolonun uzunlu\u011funa:<\/p>\n<table>\n<thead>\n<tr>\n<th>U\u00e7 ko\u015fulu<\/th>\n<th>K<\/th>\n<th>Davran\u0131\u015f<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Mafsall\u0131\u2013mafsall\u0131<\/td>\n<td>1,0<\/td>\n<td>\u0130ki u\u00e7ta da serbest\u00e7e d\u00f6ner; klasik durum<\/td>\n<\/tr>\n<tr>\n<td>Ankastre\u2013serbest (konsol)<\/td>\n<td>2,0<\/td>\n<td>Tabanda ankastre, tepede serbest; en kritik durum<\/td>\n<\/tr>\n<tr>\n<td>Ankastre\u2013ankastre<\/td>\n<td>0,5<\/td>\n<td>\u0130ki u\u00e7ta da d\u00f6nmeye kar\u015f\u0131 kat\u0131 bi\u00e7imde tutulur<\/td>\n<\/tr>\n<tr>\n<td>Ankastre\u2013mafsall\u0131<\/td>\n<td>0,7<\/td>\n<td>Bir u\u00e7 ankastre, di\u011fer mafsall\u0131 (kuram 0,699 verir)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Uygulamada \"ankastre\" ba\u011flant\u0131lar pek ender olarak tam rijit olur; bu y\u00fczden bir\u00e7ok y\u00f6netmelik biraz g\u00fcvenli tarafta kalan K de\u011ferleri \u00f6nerir (\u00f6r. ankastre\u2013mafsall\u0131 i\u00e7in 0,65\u20130,8). Ku\u015fkuya d\u00fc\u015ft\u00fc\u011f\u00fcn\u00fczde daha b\u00fcy\u00fck bir K se\u00e7mek, daha g\u00fcvenli ve daha d\u00fc\u015f\u00fck bir kapasite tahmini verir.<\/p>\n<h2>Varsay\u0131mlar, S\u0131n\u0131rlamalar ve Pratik \u0130pu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>Zay\u0131f ekseni kullan\u0131n.<\/strong> Burkulma, \\(I\\)'nin en k\u00fc\u00e7\u00fck oldu\u011fu eksende ger\u00e7ekle\u015fir. Kesit asimetrikse (\u00f6r. dikd\u00f6rtgen kesit) daima daha k\u00fc\u00e7\u00fck atalet momentini kullan\u0131n.<\/li>\n<li><strong>Euler form\u00fcl\u00fc yaln\u0131zca narin kolonlar i\u00e7in ge\u00e7erlidir.<\/strong> Tamamen elastik davran\u0131\u015f varsayar. K\u0131sa ve t\u0131knaz kolonlar Euler y\u00fck\u00fcne ula\u015fmadan ezilir veya akar; s\u0131n\u0131r genellikle \\(KL\/r\\) narinlik oran\u0131yla belirlenir; burada \\(r = \\sqrt{I\/A}\\) atalet yar\u0131\u00e7ap\u0131d\u0131r. \u00c7elik i\u00e7in Euler kuram\u0131, \\(KL\/r\\) yakla\u015f\u0131k 100'\u00fc a\u015ft\u0131\u011f\u0131nda kabaca g\u00fcvenilir sonu\u00e7 verir.<\/li>\n<li><strong>Kusursuz ko\u015fullar varsay\u0131l\u0131r.<\/strong> Form\u00fcl, tam d\u00fcz bir kolon ve tam eksene uygulanm\u0131\u015f bir y\u00fck varsayar. Ger\u00e7ek kolonlarda ba\u015flang\u0131\u00e7 e\u011fikli\u011fi ve y\u00fck d\u0131\u015fmerkezli\u011fi bulunur; bu y\u00fczden kolon \\(P_{cr}\\)'ye ula\u015fmadan e\u011filmeye ba\u015flar ve daha erken kullan\u0131lamaz h\u00e2le gelebilir.<\/li>\n<li><strong>Di\u011fer bozulma bi\u00e7imleri denetlenmez.<\/strong> \u0130nce cidarlar\u0131n yerel burkulmas\u0131, ezilme, ba\u011flant\u0131 bozulmas\u0131 ve lateral-torsiyonel etkilerin ayr\u0131ca do\u011frulanmas\u0131 gerekir.<\/li>\n<li><strong>G\u00fcvenlik katsay\u0131s\u0131 uygulay\u0131n.<\/strong> Yap\u0131 y\u00f6netmelikleri (AISC, Eurocode 3) ham Euler y\u00fck\u00fcn\u00fc, kusurlar\u0131 hesaba katan indirilmi\u015f tasar\u0131m e\u011frileriyle de\u011fi\u015ftirir; bu hesaplay\u0131c\u0131y\u0131 kesin tasar\u0131m i\u00e7in de\u011fil, \u00f6n boyutland\u0131rma ve kavram denetimi i\u00e7in kullan\u0131n.<\/li>\n<\/ul>\n<p>Bir eleman\u0131n eksenel kararl\u0131l\u0131\u011f\u0131 yerine e\u011filme davran\u0131\u015f\u0131n\u0131 da denetlemeniz gerekiyorsa, <a href=\"https:\/\/wpcalc.com\/en\/engineering\/simply-supported-beam-with-center-point-load\/\">ortadan tek noktadan y\u00fcklenen basit mesnetli kiri\u015f hesaplay\u0131c\u0131s\u0131<\/a> klasik kiri\u015f durumunu kapsar; <a href=\"https:\/\/wpcalc.com\/tr\/muhendislik\/yay-rezonans-frekansi-hesaplama\/\">Young mod\u00fcl\u00fc yay rezonans frekans\u0131 hesaplay\u0131c\u0131s\u0131<\/a> ise ayn\u0131 rijitlik \u00f6zelli\u011finin titre\u015fim davran\u0131\u015f\u0131n\u0131 nas\u0131l belirledi\u011fini g\u00f6sterir.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Narin bir kolonun kritik Euler burkulma y\u00fck\u00fcn\u00fc uzunluk, Young mod\u00fcl\u00fc, atalet momenti ve u\u00e7 ko\u015fullar\u0131ndan hesaplay\u0131n. Kolon \u00f6zelliklerini girin ve kolonun hangi y\u00fckte burkuld\u0131\u011f\u0131n\u0131 g\u00f6r\u00fcn.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[6],"tags":[84],"class_list":["post-3975","post","type-post","status-publish","format-standard","hentry","category-muhendislik","tag-kirisler"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3975","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=3975"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3975\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=3975"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=3975"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=3975"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}