{"id":4064,"date":"2026-10-15T02:27:34","date_gmt":"2026-10-15T01:27:34","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/muhendislik\/basit-mesnetli-kiris-orta-tekil-yuk\/"},"modified":"2026-10-15T02:27:34","modified_gmt":"2026-10-15T01:27:34","slug":"basit-mesnetli-kiris-orta-tekil-yuk","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/muhendislik\/basit-mesnetli-kiris-orta-tekil-yuk\/","title":{"rendered":"A\u00e7\u0131kl\u0131k Ortas\u0131na Tekil Y\u00fck Uygulanan Basit Mesnetli Kiri\u015f"},"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\">Kiri\u015f mesnet tepkileri, e\u011filme momenti ve sehim<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"4064\" data-favorite-title=\"Ortadan Y\u00fcklenmi\u015f Basit Mesnetli Kiri\u015f\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/muhendislik\/basit-mesnetli-kiris-orta-tekil-yuk\/\" data-favorite-excerpt=\"A\u00e7\u0131kl\u0131k ortas\u0131na tekil y\u00fck uygulanan basit mesnetli kiri\u015fin mesnet tepkilerini, en b\u00fcy\u00fck e\u011filme momentini ve orta nokta sehimini hesaplay\u0131n. A\u00e7\u0131kl\u0131\u011f\u0131, y\u00fck\u00fc, Young mod\u00fcl\u00fcn\u00fc ve atalet momentini girin.\" 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\/basit-mesnetli-kiris-orta-tekil-yuk\/\" method=\"POST\" class=\"calculator\" id=\"calculator-4064\" data-post=\"4064\"><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\">A\u00e7\u0131kl\u0131k (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=\"aklk_l\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0.01\" value=\"4\"\/><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\">\u0130ki mesnet aras\u0131ndaki uzakl\u0131k<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-3\">Tekil y\u00fck (P)<\/label><div class=\"term\">P<\/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=\"tekil_yk_p\" id=\"field-3\" aria-describedby=\"calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1.0E-6\" value=\"10\"\/><div class=\"grid grid-cols-1\"><select id=\"field-4\" name=\"birim\" aria-label=\"Birim\"><option value=\"kN\" selected>kN<\/option><option value=\"N\">N<\/option><option value=\"lbf\">lbf<\/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\">A\u00e7\u0131kl\u0131\u011f\u0131n ortas\u0131na uygulan\u0131r<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-5\">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-5\" aria-describedby=\"calc-info-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1.0E-6\" value=\"200\"\/><div class=\"grid grid-cols-1\"><select id=\"field-6\" 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-5\">\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-4\"><label for=\"field-7\">Alan 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=\"alan_atalet_momenti_i\" id=\"field-7\" aria-describedby=\"calc-info-7\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1.0E-6\" value=\"1000\"\/><div class=\"grid grid-cols-1\"><select id=\"field-8\" 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-7\">Kiri\u015f kesitinin e\u011filme eksenine g\u00f6re alan atalet momenti<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"4064\">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> Kiri\u015f sonu\u00e7lar\u0131<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Mesnet tepkileri (her biri)<\/span><span class=\"result-term\">R<\/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>Maksimum e\u011filme momenti<\/span><span class=\"result-term\">M<\/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 class=\"field-result\" id=\"output-3\"><span class=\"field-title\"><span>Maksimum sehim (a\u00e7\u0131kl\u0131\u011f\u0131n ortas\u0131nda)<\/span><span class=\"result-term\">\u03b4<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/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=\"4064\" 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>Ortas\u0131ndan Y\u00fcklenmi\u015f Basit Mesnetli Kiri\u015f Form\u00fcl\u00fc<\/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\\[ R = \\frac{P}{2} \\qquad M_{max} = \\frac{P \\, L}{4} \\qquad \\delta_{max} = \\frac{P \\, L^3}{48 \\, E \\, I} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(R\\) \u2014 her bir mesnetteki mesnet tepkisi (N)<\/li>\n<li>\\(P\\) \u2014 a\u00e7\u0131kl\u0131k ortas\u0131na uygulanan tekil y\u00fck (N)<\/li>\n<li>\\(L\\) \u2014 iki mesnet aras\u0131ndaki a\u00e7\u0131kl\u0131k (m)<\/li>\n<li>\\(M_{max}\\) \u2014 y\u00fck\u00fcn tam alt\u0131nda olu\u015fan en b\u00fcy\u00fck e\u011filme momenti (N\u00b7m)<\/li>\n<li>\\(\\delta_{max}\\) \u2014 a\u00e7\u0131kl\u0131k ortas\u0131ndaki en b\u00fcy\u00fck sehim (m)<\/li>\n<li>\\(E\\) \u2014 kiri\u015f malzemesinin Young mod\u00fcl\u00fc (Pa)<\/li>\n<li>\\(I\\) \u2014 kesitin atalet momenti (m\u2074)<\/li>\n<\/ul>\n<p>Y\u00fck, birbirinin ayn\u0131 iki mesnetin tam ortas\u0131na etki etti\u011fi i\u00e7in simetri onu iki mesnete e\u015fit payla\u015ft\u0131r\u0131r. E\u011filme momenti de sehim de, y\u00fck\u00fcn uyguland\u0131\u011f\u0131 a\u00e7\u0131kl\u0131k ortas\u0131nda en b\u00fcy\u00fck de\u011fere ula\u015f\u0131r.<\/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>Ortas\u0131ndan Y\u00fcklenmi\u015f Basit Mesnetli Kiri\u015f \u2013 Hesaplama \u00d6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> a\u00e7\u0131kl\u0131\u011f\u0131 4 m olan bir \u00e7elik kiri\u015fin ortas\u0131na 10 kN'luk tekil y\u00fck uygulan\u0131yor. Kiri\u015fin Young mod\u00fcl\u00fc \\(E = 200\\) GPa, atalet momenti \\(I = 1000\\) cm\u2074 = \\(1 \\times 10^{-5}\\) m\u2074.<\/p>\n<p>\\[ R = \\frac{P}{2} = \\frac{10\\,000\\ \\text{N}}{2} = 5\\ \\text{kN} \\]<\/p>\n<p>\\[ M_{max} = \\frac{P L}{4} = \\frac{10\\,000 \\times 4}{4} = 10\\ \\text{kN\u00b7m} \\]<\/p>\n<p>\\[ \\delta_{max} = \\frac{P L^3}{48 E I} = \\frac{10\\,000 \\times 4^3}{48 \\times 200 \\times 10^9 \\times 1 \\times 10^{-5}} \\approx 6.67 \\times 10^{-3}\\ \\text{m} \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> her mesnet 5 kN ta\u015f\u0131r, en b\u00fcy\u00fck e\u011filme momenti a\u00e7\u0131kl\u0131k ortas\u0131nda 10 kN\u00b7m'dir ve kiri\u015f y\u00fck\u00fcn uyguland\u0131\u011f\u0131 noktada yakla\u015f\u0131k 6,67 mm (yakla\u015f\u0131k 0,26 in\u00e7) sehim yapar.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>A\u00e7\u0131kl\u0131\u011f\u0131 (L)<\/strong> \u2014 iki mesnet aras\u0131ndaki uzakl\u0131\u011f\u0131 \u2014 girin ve birimini se\u00e7in (m veya ft).<\/li>\n<li>A\u00e7\u0131kl\u0131k ortas\u0131na uygulanan <strong>Tekil y\u00fck\u00fc (P)<\/strong> girin ve birimini se\u00e7in (kN, N veya lbf).<\/li>\n<li>Malzemenin <strong>Young mod\u00fcl\u00fcn\u00fc (E)<\/strong> girin. \u00c7elik i\u00e7in yakla\u015f\u0131k 200 GPa, al\u00fcminyum i\u00e7in 69 GPa, ah\u015fap i\u00e7in 11 GPa.<\/li>\n<li>Kiri\u015f kesitinin e\u011filme eksenine g\u00f6re <strong>Atalet momentini (I)<\/strong> girin; cm\u2074, mm\u2074 veya in\u2074 cinsinden.<\/li>\n<li>Sonu\u00e7lar\u0131 okuyun: mesnet tepkileri, en b\u00fcy\u00fck e\u011filme momenti ve a\u00e7\u0131kl\u0131k ortas\u0131ndaki en b\u00fcy\u00fck sehim.<\/li>\n<\/ol>\n<h2>Ortas\u0131ndan y\u00fcklenmi\u015f basit mesnetli kiri\u015f nedir?<\/h2>\n<p>Basit mesnetli kiri\u015f iki mesnet \u00fczerinde durur: genellikle bir u\u00e7ta mafsal, di\u011fer u\u00e7ta makaral\u0131 mesnet bulunur. Mesnetler d\u00f6nmeye kar\u015f\u0131 koymad\u0131\u011f\u0131 i\u00e7in kiri\u015f serbest\u00e7e e\u011filir, u\u00e7lar\u0131 d\u00f6nebilir. Bu, yap\u0131 ve makine m\u00fchendisli\u011finin en yayg\u0131n idealle\u015ftirmelerinden biridir: iki duvar aras\u0131ndaki d\u00f6\u015feme kiri\u015flerini, iki rulman aras\u0131ndaki milleri ve bir\u00e7ok makine ile \u00e7er\u00e7eve eleman\u0131n\u0131 olduk\u00e7a iyi modeller.<\/p>\n<p>Tek bir \\(P\\) tekil y\u00fck\u00fc tam a\u00e7\u0131kl\u0131k ortas\u0131na uyguland\u0131\u011f\u0131nda problem simetrik hale gelir. Her mesnet y\u00fck\u00fcn tam olarak yar\u0131s\u0131n\u0131 ta\u015f\u0131r, yani \\(R = P\/2\\). E\u011filme momenti mesnetlerdeki s\u0131f\u0131rdan do\u011frusal olarak artar ve y\u00fck\u00fcn tam alt\u0131nda \\(M_{max} = PL\/4\\) tepe de\u011ferine ula\u015f\u0131r \u2014 kiri\u015fte gerilmenin en b\u00fcy\u00fck oldu\u011fu, k\u0131r\u0131lma ya da akman\u0131n ba\u015flayaca\u011f\u0131 nokta buras\u0131d\u0131r.<\/p>\n<p>Sehim, a\u00e7\u0131kl\u0131kla k\u00fcbik bir ili\u015fki izler: \\(\\delta_{max} = PL^3\/(48EI)\\). A\u00e7\u0131kl\u0131k iki kat\u0131na \u00e7\u0131karsa sehim sekiz kat\u0131na \u00e7\u0131kar; uzun a\u00e7\u0131kl\u0131klar\u0131n rijit tutulmas\u0131n\u0131n neden bu kadar zor oldu\u011fu da budur. <em>E\u011filme rijitli\u011fi<\/em> ad\u0131 verilen \\(EI\\) \u00e7arp\u0131m\u0131, kiri\u015fin e\u011filmeye kar\u015f\u0131 direncini \u00f6l\u00e7er: daha rijit bir malzeme (daha b\u00fcy\u00fck \\(E\\)) ya da daha derin bir kesit (daha b\u00fcy\u00fck \\(I\\)) sehim azalt\u0131r. Malzeme sertli\u011fiyle ayr\u0131ca \u00e7al\u0131\u015fmak isterseniz <a href=\"https:\/\/wpcalc.com\/tr\/muhendislik\/yay-rezonans-frekansi-hesaplama\/\">Young mod\u00fcl\u00fc hesaplay\u0131c\u0131s\u0131<\/a> ilgili malzeme \u00f6zelli\u011fi hesaplar\u0131n\u0131 kapsar.<\/p>\n<p>Sonucu yorumlarken sehimi, uygulaman\u0131z\u0131n izin verilen s\u0131n\u0131r\u0131yla kar\u015f\u0131la\u015ft\u0131r\u0131n. Bir\u00e7ok yap\u0131 y\u00f6netmeli\u011fi hareketli y\u00fck sehimini a\u00e7\u0131kl\u0131\u011f\u0131n \\(L\/360\\) ya da \\(L\/240\\)'\u0131 ile s\u0131n\u0131rlar; yukar\u0131daki 4 m'lik \u00f6rnek i\u00e7in \\(L\/360 \\approx 11.1\\) mm oldu\u011fundan 6,67 mm'lik sehim bu s\u0131n\u0131r\u0131n i\u00e7inde kal\u0131r.<\/p>\n<h2>Varsay\u0131mlar ve s\u0131n\u0131rlamalar<\/h2>\n<ul>\n<li>Y\u00fck\u00fcn <strong>tam a\u00e7\u0131kl\u0131k ortas\u0131na<\/strong> etkinmesi gerekir. Rastgele bir konumdaki y\u00fck i\u00e7in form\u00fcller de\u011fi\u015fir \u2014 tepkiler \\(R_1 = Pb\/L\\) ve \\(R_2 = Pa\/L\\) olur.<\/li>\n<li>Kiri\u015fin prizmatik (kesiti sabit), homojen ve do\u011frusal elastik oldu\u011fu varsay\u0131l\u0131r; sehimler a\u00e7\u0131kl\u0131\u011fa k\u0131yasla k\u00fc\u00e7\u00fckt\u00fcr.<\/li>\n<li>Kiri\u015fin \u00f6z a\u011f\u0131rl\u0131\u011f\u0131 yok say\u0131l\u0131r. Kiri\u015f, uygulanan y\u00fcke k\u0131yasla a\u011f\u0131rsa ayr\u0131 bir analizde yay\u0131l\u0131 y\u00fck olarak eklenmelidir.<\/li>\n<li>Mesnetler idealdir: yaln\u0131zca d\u00fc\u015fey y\u00fck ta\u015f\u0131rlar; d\u00f6nme k\u0131s\u0131t\u0131 veya ankastrelik sa\u011flamazlar.<\/li>\n<li>Yaln\u0131zca d\u00fc\u015fey y\u00fcklenme dikkate al\u0131nm\u0131\u015ft\u0131r; yatay y\u00fckler, burulma ve dinamik etkiler bu form\u00fcllerin kapsam\u0131 d\u0131\u015f\u0131ndad\u0131r.<\/li>\n<\/ul>\n<p>Dinamik durumlarda \u2014 \u00f6rne\u011fin bir yay gibi davranan bir kiri\u015f \u00fczerinde ta\u015f\u0131nan k\u00fctle i\u00e7in \u2014 buradaki statik sonu\u00e7 yaln\u0131zca ba\u015flang\u0131\u00e7 noktas\u0131d\u0131r. Titre\u015fim analizi i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/muhendislik\/yay-kutlesi\/\">yay-k\u00fctle hesaplay\u0131c\u0131s\u0131na<\/a> ve <a href=\"https:\/\/wpcalc.com\/tr\/muhendislik\/yay-rezonans-frekansi\/\">yay rezonans frekans\u0131 hesaplay\u0131c\u0131s\u0131na<\/a> bak\u0131n.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A\u00e7\u0131kl\u0131k ortas\u0131na tekil y\u00fck uygulanan basit mesnetli kiri\u015fin mesnet tepkilerini, en b\u00fcy\u00fck e\u011filme momentini ve orta nokta sehimini hesaplay\u0131n. A\u00e7\u0131kl\u0131\u011f\u0131, y\u00fck\u00fc, Young mod\u00fcl\u00fcn\u00fc ve atalet momentini girin.<\/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-4064","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\/4064","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=4064"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4064\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=4064"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=4064"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=4064"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}