{"id":4065,"date":"2026-10-15T02:31:12","date_gmt":"2026-10-15T01:31:12","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/muhendislik\/basit-mesnetli-kiris-esit-yayili-yuk\/"},"modified":"2026-10-15T02:31:12","modified_gmt":"2026-10-15T01:31:12","slug":"basit-mesnetli-kiris-esit-yayili-yuk","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/muhendislik\/basit-mesnetli-kiris-esit-yayili-yuk\/","title":{"rendered":"E\u015fit Da\u011f\u0131t\u0131ml\u0131 Y\u00fckl\u00fc 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 tepkileri, e\u011filme momenti ve sehim<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"4065\" data-favorite-title=\"E\u015fit Yay\u0131lm\u0131\u015f Y\u00fckl\u00fc Basit Mesnetli Kiri\u015f\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/muhendislik\/basit-mesnetli-kiris-esit-yayili-yuk\/\" data-favorite-excerpt=\"E\u015fit da\u011f\u0131t\u0131ml\u0131 y\u00fck ta\u015f\u0131yan basit mesnetli bir kiri\u015fin mesnet tepkilerini, maksimum e\u011filme momentini ve a\u00e7\u0131kl\u0131k ortas\u0131ndaki sehimi hesaplar. 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-esit-yayili-yuk\/\" method=\"POST\" class=\"calculator\" id=\"calculator-4065\" data-post=\"4065\"><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\">E\u015fit yay\u0131l\u0131 y\u00fck (w)<\/label><div class=\"term\">w<\/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=\"eit_yayl_yk_w\" 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\/m\" selected>kN\/m<\/option><option value=\"N\/m\">N\/m<\/option><option value=\"lbf\/ft\">lbf\/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-3\">Birim uzunluk ba\u015f\u0131na d\u00fc\u015fen y\u00fck, t\u00fcm a\u00e7\u0131kl\u0131\u011fa e\u015fit da\u011f\u0131t\u0131l\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\">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-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 ekseni etraf\u0131ndaki alan atalet momenti<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"4065\">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>En b\u00fcy\u00fck 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>En b\u00fcy\u00fck sehim (a\u00e7\u0131kl\u0131k 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=\"4065\" 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>E\u015fit da\u011f\u0131t\u0131ml\u0131 y\u00fckl\u00fc 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{wL}{2} \\\\ M_{max} = \\frac{wL^2}{8} \\\\ \\delta_{max} = \\frac{5wL^4}{384EI} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Buradaki:<\/strong><\/p>\n<ul>\n<li>\\(w\\) \u2014 birim uzunluk ba\u015f\u0131na yay\u0131l\u0131 y\u00fck (N\/m)<\/li>\n<li>\\(L\\) \u2014 a\u00e7\u0131kl\u0131k, iki mesnet aras\u0131ndaki uzakl\u0131k (m)<\/li>\n<li>\\(E\\) \u2014 kiri\u015f malzemesinin Young mod\u00fcl\u00fc (Pa)<\/li>\n<li>\\(I\\) \u2014 kesitin e\u011filme eksenine g\u00f6re atalet momenti (m\u2074)<\/li>\n<li>\\(R\\) \u2014 her mesnetteki tepki (N), \\(M_{max}\\) \u2014 maksimum e\u011filme momenti (N\u00b7m), \\(\\delta_{max}\\) \u2014 maksimum sehim (m)<\/li>\n<\/ul>\n<p>Bunlar, t\u00fcm a\u00e7\u0131kl\u0131k boyunca e\u015fit da\u011f\u0131t\u0131ml\u0131 y\u00fck ta\u015f\u0131yan basit mesnetli kiri\u015fin klasik kapal\u0131 form \u00e7\u00f6z\u00fcmleridir. Toplam \\(wL\\) y\u00fck\u00fc iki mesnet aras\u0131nda e\u015fit payla\u015f\u0131l\u0131r; e\u011filme momenti a\u00e7\u0131kl\u0131k ortas\u0131nda en b\u00fcy\u00fck de\u011fere ula\u015f\u0131r ve hem y\u00fckleme hem de mesnetler simetrik oldu\u011fundan maksimum sehim de a\u00e7\u0131kl\u0131k ortas\u0131nda olu\u015fur.<\/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>E\u015fit da\u011f\u0131t\u0131ml\u0131 y\u00fckl\u00fc basit mesnetli kiri\u015f \u2013 \u00f6rnek hesap<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> a\u00e7\u0131kl\u0131\u011f\u0131 \\(L = 4\\ \\text{m}\\) olan bir \u00e7elik kiri\u015f, \\(w = 10\\ \\text{kN\/m}\\) b\u00fcy\u00fckl\u00fc\u011f\u00fcnde e\u015fit da\u011f\u0131t\u0131ml\u0131 bir y\u00fck ta\u015f\u0131yor. Malzemenin elastisite mod\u00fcl\u00fc \\(E = 200\\ \\text{GPa}\\), kesitin atalet momenti ise \\(I = 1000\\ \\text{cm}^4 = 1.0 \\times 10^{-5}\\ \\text{m}^4\\).<\/p>\n<p>\\[ R = \\frac{wL}{2} = \\frac{10 \\times 4}{2} = 20\\ \\text{kN} \\]<\/p>\n<p>\\[ M_{max} = \\frac{wL^2}{8} = \\frac{10 \\times 4^2}{8} = 20\\ \\text{kN}\\cdot\\text{m} \\]<\/p>\n<p>\\[ \\delta_{max} = \\frac{5wL^4}{384EI} = \\frac{5 \\times 10{,}000 \\times 4^4}{384 \\times (200 \\times 10^9) \\times (1.0 \\times 10^{-5})} \\approx 0.0167\\ \\text{m} \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> her mesnet tepkisi 20 kN, maksimum e\u011filme momenti a\u00e7\u0131kl\u0131k ortas\u0131nda 20 kN\u00b7m ve maksimum sehim a\u00e7\u0131kl\u0131k ortas\u0131nda yakla\u015f\u0131k 16,7 mm'dir (\u2248 0,656 in\u00e7).<\/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\u0131k (L)<\/strong> alan\u0131na iki mesnet aras\u0131ndaki a\u00e7\u0131kl\u0131\u011f\u0131 girin ve birim se\u00e7iciden metre veya feet se\u00e7in.<\/li>\n<li><strong>Yay\u0131l\u0131 y\u00fck (w)<\/strong> alan\u0131na birim uzunluk ba\u015f\u0131na d\u00fc\u015fen y\u00fck\u00fc girip kN\/m, N\/m veya lbf\/ft birimini se\u00e7in. Bu de\u011fer, kiri\u015fin ta\u015f\u0131d\u0131\u011f\u0131 toplam a\u011f\u0131rl\u0131\u011f\u0131n uzunlu\u011fa b\u00f6l\u00fcm\u00fcd\u00fcr.<\/li>\n<li>Kiri\u015f malzemesi i\u00e7in <strong>Young mod\u00fcl\u00fcn\u00fc (E)<\/strong> girin \u2014 \u00e7elik i\u00e7in \u2248 200 GPa, al\u00fcminyum i\u00e7in \u2248 69 GPa, ah\u015fap i\u00e7in \u2248 11 GPa \u2014 ve GPa, MPa veya psi birimini se\u00e7in.<\/li>\n<li>Kesit i\u00e7in <strong>atalet momentini (I)<\/strong> girin (standart kiri\u015fler i\u00e7in bir profil tablosuna bak\u0131n) ve cm\u2074, mm\u2074 veya in\u2074 se\u00e7in.<\/li>\n<li>Sonu\u00e7lar\u0131 okuyun: her mesnetteki tepki, a\u00e7\u0131kl\u0131k ortas\u0131ndaki maksimum e\u011filme momenti ve a\u00e7\u0131kl\u0131k ortas\u0131ndaki maksimum sehim. \u00c7\u0131kt\u0131lar, a\u00e7\u0131kl\u0131k biriminizin belirtti\u011fi birim sisteminde g\u00f6sterilir; di\u011fer sistem parantez i\u00e7inde verilir.<\/li>\n<\/ol>\n<h2>E\u015fit da\u011f\u0131t\u0131ml\u0131 y\u00fckl\u00fc basit mesnetli kiri\u015f nedir?<\/h2>\n<p>Basit mesnetli kiri\u015f, iki mesnet \u00fczerinde durur \u2014 genellikle bir u\u00e7ta mafsal (sabit mesnet), di\u011fer u\u00e7ta rulolu (hareketli) mesnet bulunur \u2014 b\u00f6ylece her iki u\u00e7ta serbest\u00e7e d\u00f6nebilir ama dikey y\u00f6nde yer de\u011fi\u015ftiremez. Bu, yap\u0131 tasar\u0131m\u0131nda en yayg\u0131n kullan\u0131lan idealizasyondur: d\u00f6\u015feme kiri\u015fleri, \u00e7at\u0131 a\u015f\u0131klar\u0131 ve bir\u00e7ok yap\u0131sal eleman fiilen bu \u015fekilde davran\u0131r. <em>E\u015fit da\u011f\u0131t\u0131ml\u0131 y\u00fck<\/em> (EDY) ise t\u00fcm uzunluk boyunca e\u015fit yay\u0131lm\u0131\u015f bir y\u00fckt\u00fcr; kiri\u015fin \u00f6z a\u011f\u0131rl\u0131\u011f\u0131, ta\u015f\u0131d\u0131\u011f\u0131 d\u00f6\u015feme pla\u011f\u0131 ya da \u00e7at\u0131daki kar buna \u00f6rnek verilebilir.<\/p>\n<p>Y\u00fckleme simetrik oldu\u011fundan her mesnet toplam y\u00fck\u00fcn tam olarak yar\u0131s\u0131n\u0131 ta\u015f\u0131r: \\(R = wL\/2\\). E\u011filme momenti a\u00e7\u0131kl\u0131k boyunca parabolik de\u011fi\u015fir; mesnetlerde s\u0131f\u0131rdan ba\u015flar ve a\u00e7\u0131kl\u0131k ortas\u0131nda \\(M_{max} = wL^2\/8\\) de\u011ferine ula\u015f\u0131r. Bu a\u00e7\u0131kl\u0131k ortas\u0131 momenti, kiri\u015fteki e\u011filme gerilmesini y\u00f6neten b\u00fcy\u00fckl\u00fckt\u00fcr \u2014 kesit mod\u00fcl\u00fcyle birlikte ele al\u0131nd\u0131\u011f\u0131nda eleman\u0131n yeterince g\u00fc\u00e7l\u00fc olup olmad\u0131\u011f\u0131n\u0131 s\u00f6yler. Kar\u015f\u0131la\u015ft\u0131rma i\u00e7in, ayn\u0131 toplam y\u00fck a\u00e7\u0131kl\u0131k ortas\u0131na tekil y\u00fck olarak uygulan\u0131rsa (bkz. <a href=\"https:\/\/wpcalc.com\/tr\/muhendislik\/basit-mesnetli-kiris-orta-tekil-yuk\/\">ortadan tekil y\u00fck alan basit mesnetli kiri\u015f<\/a>) moment iki kat\u0131na \u00e7\u0131kar; dolay\u0131s\u0131yla y\u00fck\u00fc da\u011f\u0131tmak yap\u0131sal a\u00e7\u0131dan \u00e7ok daha verimlidir.<\/p>\n<p>Sehim \\(\\delta_{max} = 5wL^4\/(384EI)\\) de a\u00e7\u0131kl\u0131k ortas\u0131nda olu\u015fur ve kiri\u015fin elastik e\u011frisini izler. A\u00e7\u0131kl\u0131\u011f\u0131n g\u00fc\u00e7l\u00fc etkisine dikkat edin: sehim \\(L\\)'nin d\u00f6rd\u00fcnc\u00fc kuvvetiyle artar; yani a\u00e7\u0131kl\u0131k iki kat\u0131na \u00e7\u0131karsa sehim on alt\u0131 kat\u0131na \u00e7\u0131kar. Rijitlik \\(EI\\) \u00e7arp\u0131m\u0131na ba\u011fl\u0131d\u0131r: daha rijit bir malzeme (y\u00fcksek \\(E\\)) ya da daha derin bir kesit (\\(I\\), derinlikle kabaca k\u00fcp olarak artt\u0131\u011f\u0131ndan \u00e7ok daha b\u00fcy\u00fck \\(I\\)) sehimi azalt\u0131r. Young mod\u00fcl\u00fcn\u00fcn dinamik davran\u0131\u015f\u0131 da nas\u0131l belirledi\u011fini merak ediyorsan\u0131z <a href=\"https:\/\/wpcalc.com\/tr\/muhendislik\/yay-rezonans-frekansi-hesaplama\/\">Young mod\u00fcl\u00fc yay rezonans frekans\u0131 hesaplay\u0131c\u0131s\u0131na<\/a> bak\u0131n.<\/p>\n<h2>Varsay\u0131mlar ve pratik ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>K\u00fc\u00e7\u00fck sehimler, do\u011frusal elastisite:<\/strong> form\u00fcller malzemenin akma s\u0131n\u0131r\u0131n\u0131n alt\u0131nda kald\u0131\u011f\u0131n\u0131 ve sehimlerin a\u00e7\u0131kl\u0131\u011fa g\u00f6re k\u00fc\u00e7\u00fck oldu\u011funu varsayar; b\u00f6ylece s\u00fcperpozisyon ve Euler\u2013Bernoulli kiri\u015f teorisi ge\u00e7erlidir.<\/li>\n<li><strong>\u0130deal mesnetler:<\/strong> kiri\u015f bir u\u00e7ta mafsal, di\u011fer u\u00e7ta rulolu mesnetle, hi\u00e7bir ankastrelik olmaks\u0131z\u0131n ele al\u0131n\u0131r. D\u00f6nmeyi k\u0131s\u0131tlayan ger\u00e7ek ba\u011flant\u0131lar hem momenti hem sehimi azalt\u0131r; bu nedenle bu yakla\u015f\u0131m sehim a\u00e7\u0131s\u0131ndan g\u00fcvenli tarafta kalan bir idealizasyondur.<\/li>\n<li><strong>Y\u00fck t\u00fcm a\u00e7\u0131kl\u0131\u011f\u0131 kaplar:<\/strong> a\u00e7\u0131kl\u0131\u011f\u0131n yaln\u0131zca bir b\u00f6l\u00fcm\u00fcne etkiyen y\u00fckler, tekil y\u00fckler veya konsollar farkl\u0131 (ya da s\u00fcperpoze edilmi\u015f) form\u00fcller gerektirir. Yaln\u0131zca ortadaki tekil y\u00fck durumunu <a href=\"https:\/\/wpcalc.com\/tr\/muhendislik\/basit-mesnetli-kiris-orta-tekil-yuk\/\">merkez tekil y\u00fck hesaplay\u0131c\u0131s\u0131<\/a> \u00e7\u00f6zer.<\/li>\n<li><strong>\u00d6z a\u011f\u0131rl\u0131k dahildir:<\/strong> y\u00fck a\u00e7\u0131k\u00e7a yaln\u0131zca faydal\u0131 (ek) y\u00fck olarak belirtilmemi\u015fse kiri\u015fin kendi a\u011f\u0131rl\u0131\u011f\u0131n\u0131 \\(w\\)'ya ekleyin.<\/li>\n<li><strong>Sehim s\u0131n\u0131rlar\u0131n\u0131 kontrol edin:<\/strong> bir\u00e7ok y\u00f6netmelik hareketli y\u00fck sehimini \\(L\/360\\) (\u00f6rn. d\u00f6\u015femeler) veya \\(L\/240\\) ile s\u0131n\u0131rlar. \u00d6rnek hesapta \\(L\/360 = 4000\/360 \\approx 11\\ \\text{mm}\\) oldu\u011fundan, 16,7 mm'lik sehim tipik bir d\u00f6\u015feme s\u0131n\u0131r\u0131n\u0131 a\u015far ve daha rijit bir kesit gerekir.<\/li>\n<li><strong>Birimler tutarl\u0131 olmal\u0131d\u0131r:<\/strong> hesaplay\u0131c\u0131 t\u00fcm birimleri i\u00e7eriden d\u00f6n\u00fc\u015ft\u00fcr\u00fcr; ancak form\u00fclleri elle uygulayacaksan\u0131z sonucu d\u00f6n\u00fc\u015ft\u00fcrmeden \u00f6nce \\(w\\), \\(L\\), \\(E\\) ve \\(I\\)'y\u0131 tek bir tutarl\u0131 birim sisteminde (N, m, Pa, m\u2074) tutun.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>E\u015fit da\u011f\u0131t\u0131ml\u0131 y\u00fck ta\u015f\u0131yan basit mesnetli bir kiri\u015fin mesnet tepkilerini, maksimum e\u011filme momentini ve a\u00e7\u0131kl\u0131k ortas\u0131ndaki sehimi hesaplar. 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-4065","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\/4065","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=4065"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4065\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=4065"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=4065"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=4065"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}