{"id":3923,"date":"2026-10-14T08:07:51","date_gmt":"2026-10-14T07:07:51","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/muhendislik\/direnme-momenti\/"},"modified":"2026-10-14T08:07:51","modified_gmt":"2026-10-14T07:07:51","slug":"direnme-momenti","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/muhendislik\/direnme-momenti\/","title":{"rendered":"Kiri\u015f Direnme Momenti"},"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 e\u011filmesi i\u00e7in kesit \u00f6zelliklerini hesaplay\u0131n<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"3923\" data-favorite-title=\"Direnme Momenti\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/muhendislik\/direnme-momenti\/\" data-favorite-excerpt=\"Dikd\u00f6rtgen, daire, boru veya I\/H kiri\u015f kesitleri i\u00e7in elastik direnme momentini ve atalet momentini hesaplay\u0131n. Boyutlar\u0131 girin, \u015fekli se\u00e7in ve g\u00fc\u00e7l\u00fc e\u011filme eksenine ait kesit \u00f6zelliklerini an\u0131nda 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\/direnme-momenti\/\" method=\"POST\" class=\"calculator\" id=\"calculator-3923\" data-post=\"3923\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">Enkesit \u015fekli<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"enkesit_ekli\"><option value=\"rect\" selected>Dikd\u00f6rtgen<\/option><option value=\"circle\">Dolu daire<\/option><option value=\"tube\">\u0130\u00e7i bo\u015f dairesel boru<\/option><option value=\"isec\">I \/ H kesiti<\/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><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">Geni\u015flik (b)<\/label><div class=\"term\">b<\/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=\"genilik_b\" id=\"field-2\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"100\" min=\"0.01\" value=\"100\"\/><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"birim\" aria-label=\"Birim\"><option value=\"mm\" selected>mm<\/option><option value=\"cm\">cm<\/option><option value=\"m\">m<\/option><option value=\"in\">in<\/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><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-4\">Y\u00fckseklik (h)<\/label><div class=\"term\">h<\/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=\"ykseklik_h\" id=\"field-4\" aria-describedby=\"calc-info-4\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"200\" min=\"0.01\" value=\"200\"\/><div class=\"grid grid-cols-1\"><select id=\"field-5\" name=\"birim\" aria-label=\"Birim\"><option value=\"mm\" selected>mm<\/option><option value=\"cm\">cm<\/option><option value=\"m\">m<\/option><option value=\"in\">in<\/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-4\">E\u011filme eksenine paralel y\u00f6nde \u00f6l\u00e7\u00fclen derinlik<\/small><\/div><div class=\"field has-term\" id=\"input-4\" hidden><label for=\"field-6\">\u00c7ap (d)<\/label><div class=\"term\">d<\/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=\"ap_d\" id=\"field-6\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"50\" min=\"0.01\" value=\"50\"\/><div class=\"grid grid-cols-1\"><select id=\"field-7\" name=\"birim\" aria-label=\"Birim\"><option value=\"mm\" selected>mm<\/option><option value=\"cm\">cm<\/option><option value=\"m\">m<\/option><option value=\"in\">in<\/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><\/div><div class=\"field has-term\" id=\"input-5\" hidden><label for=\"field-8\">D\u0131\u015f \u00e7ap (D)<\/label><div class=\"term\">D<\/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=\"d_ap_d\" id=\"field-8\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"100\" min=\"0.01\" value=\"100\"\/><div class=\"grid grid-cols-1\"><select id=\"field-9\" name=\"birim\" aria-label=\"Birim\"><option value=\"mm\" selected>mm<\/option><option value=\"cm\">cm<\/option><option value=\"m\">m<\/option><option value=\"in\">in<\/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><\/div><div class=\"field has-term\" id=\"input-6\" hidden><label for=\"field-10\">\u0130\u00e7 \u00e7ap (d)<\/label><div class=\"term\">d<\/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=\"_ap_d\" id=\"field-10\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"80\" min=\"0.01\" value=\"80\"\/><div class=\"grid grid-cols-1\"><select id=\"field-11\" name=\"birim\" aria-label=\"Birim\"><option value=\"mm\" selected>mm<\/option><option value=\"cm\">cm<\/option><option value=\"m\">m<\/option><option value=\"in\">in<\/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><\/div><div class=\"field has-term\" id=\"input-7\" hidden><label for=\"field-12\">Toplam y\u00fckseklik (h)<\/label><div class=\"term\">h<\/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=\"toplam_ykseklik_h\" id=\"field-12\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"200\" min=\"0.01\" value=\"200\"\/><div class=\"grid grid-cols-1\"><select id=\"field-13\" name=\"birim\" aria-label=\"Birim\"><option value=\"mm\" selected>mm<\/option><option value=\"cm\">cm<\/option><option value=\"m\">m<\/option><option value=\"in\">in<\/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><\/div><div class=\"field has-term\" id=\"input-8\" hidden><label for=\"field-14\">Kanat geni\u015fli\u011fi (b)<\/label><div class=\"term\">b<\/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=\"kanat_genilii_b\" id=\"field-14\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"100\" min=\"0.01\" value=\"100\"\/><div class=\"grid grid-cols-1\"><select id=\"field-15\" name=\"birim\" aria-label=\"Birim\"><option value=\"mm\" selected>mm<\/option><option value=\"cm\">cm<\/option><option value=\"m\">m<\/option><option value=\"in\">in<\/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><\/div><div class=\"field has-term\" id=\"input-9\" hidden><label for=\"field-16\">Kanat kal\u0131nl\u0131\u011f\u0131 (tf)<\/label><div class=\"term\">tf<\/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=\"kanat_kalnl_tf\" id=\"field-16\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"10\" min=\"0.01\" value=\"10\"\/><div class=\"grid grid-cols-1\"><select id=\"field-17\" name=\"birim\" aria-label=\"Birim\"><option value=\"mm\" selected>mm<\/option><option value=\"cm\">cm<\/option><option value=\"m\">m<\/option><option value=\"in\">in<\/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><\/div><div class=\"field has-term\" id=\"input-10\" hidden><label for=\"field-18\">G\u00f6vde kal\u0131nl\u0131\u011f\u0131 (tw)<\/label><div class=\"term\">tw<\/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=\"gvde_kalnl_tw\" id=\"field-18\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"6\" min=\"0.01\" value=\"6\"\/><div class=\"grid grid-cols-1\"><select id=\"field-19\" name=\"birim\" aria-label=\"Birim\"><option value=\"mm\" selected>mm<\/option><option value=\"cm\">cm<\/option><option value=\"m\">m<\/option><option value=\"in\">in<\/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><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"3923\">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> Enkesit \u00f6zellikleri<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Alan atalet momenti<\/span><span class=\"result-term\">Ixx<\/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>Elastik mukavemet momenti<\/span><span class=\"result-term\">Sxx<\/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 is-column\" id=\"output-3\"><span class=\"field-title\"><span>Form\u00fcl ve notlar<\/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=\"3923\" 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>Direnme Momenti<\/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\\[ S_{xx} = \\frac{I_{xx}}{c} \\qquad \\sigma_{max} = \\frac{M}{S_{xx}} \\\\\\ I_{xx} = \\frac{b h^{3}}{12} \\ \\text{(dikd\u00f6rtgen)} \\qquad I_{xx} = \\frac{\\pi d^{4}}{64} \\ \\text{(dolu daire)} \\\\\\ I_{xx} = \\frac{\\pi \\left(D^{4} - d^{4}\\right)}{64} \\ \\text{(i\u00e7i bo\u015f boru)} \\qquad I_{xx} = \\frac{b h^{3} - \\left(b - t_{w}\\right)\\left(h - 2 t_{f}\\right)^{3}}{12} \\ \\text{(I \/ H kesiti)} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(S_{xx}\\) \u2014 yatay merkez (x\u2013x) eksenine g\u00f6re elastik direnme momenti (mm\u00b3 veya in\u00b3)<\/li>\n<li>\\(I_{xx}\\) \u2014 ayn\u0131 eksene g\u00f6re atalet momenti (mm\u2074 veya in\u2074)<\/li>\n<li>\\(c\\) \u2014 n\u00f6tr eksenden en d\u0131\u015f lufe olan uzakl\u0131k: \\(c = h\/2\\) veya \\(c = D\/2\\)<\/li>\n<li>\\(b\\) \u2014 geni\u015flik (I kesitinde tabula geni\u015fli\u011fi)<\/li>\n<li>\\(h\\) \u2014 kesitin toplam y\u00fcksekli\u011fi<\/li>\n<li>\\(d\\) \u2014 \u00e7ap (dolu daire) veya i\u00e7 \u00e7ap (boru)<\/li>\n<li>\\(D\\) \u2014 borunun d\u0131\u015f \u00e7ap\u0131<\/li>\n<li>\\(t_{f},\\ t_{w}\\) \u2014 I \/ H kesitinde tabula ve g\u00f6bek kal\u0131nl\u0131klar\u0131<\/li>\n<li>\\(M\\) \u2014 etki eden e\u011filme momenti; \\(\\sigma_{max}\\) \u2014 en b\u00fcy\u00fck e\u011filme gerilmesi<\/li>\n<\/ul>\n<p>Direnme momenti, bir kesitin e\u011filmeye ne denli etkin kar\u015f\u0131 koydu\u011funu g\u00f6sterir: \\(S_{xx}\\) ne kadar b\u00fcy\u00fckse, ayn\u0131 momentin olu\u015fturdu\u011fu e\u011filme gerilmesi o kadar k\u00fc\u00e7\u00fckt\u00fcr.<\/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>Direnme Momenti \u2013 Hesap \u00d6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> geni\u015fli\u011fi 100 mm, y\u00fcksekli\u011fi 200 mm olan dikd\u00f6rtgen bir ah\u015fap kiri\u015f, g\u00fc\u00e7l\u00fc ekseni \u00e7evresinde e\u011filecek bi\u00e7imde y\u00fcklensin.<\/p>\n<p>\\[ I_{xx} = \\frac{b h^{3}}{12} = \\frac{100 \\times 200^{3}}{12} = 66{,}666{,}667 \\ \\text{mm}^{4} \\approx 160.2 \\ \\text{in}^{4} \\]<\/p>\n<p>\\[ S_{xx} = \\frac{I_{xx}}{h\/2} = \\frac{66{,}666{,}667}{100} = 666{,}667 \\ \\text{mm}^{3} \\approx 40.68 \\ \\text{in}^{3} \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> \\(I_{xx} \\approx 6.67 \\times 10^{7}\\) mm\u2074 ve \\(S_{xx} \\approx 6.67 \\times 10^{5}\\) mm\u00b3 (40,68 in\u00b3). Bu durumda 10 kN\u00b7m'lik bir e\u011filme momenti, kesitte en fazla \\(\\sigma = 10^{7} \/ 666{,}667 \\approx 15{,}0\\) N\/mm\u00b2 (MPa) gerilme olu\u015fturur.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplama arac\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>Kesit \u015feklini<\/strong> se\u00e7in: Dikd\u00f6rtgen, Dolu daire, \u0130\u00e7i bo\u015f dairesel boru veya I \/ H kesiti. Yaln\u0131zca o \u015fekle ait boyut alanlar\u0131 g\u00f6r\u00fcnt\u00fclenir.<\/li>\n<li>G\u00f6r\u00fcnen alanlara boyutlar\u0131 girin \u2014 \u00f6rne\u011fin dikd\u00f6rtgen i\u00e7in <strong>Geni\u015flik (b)<\/strong> ve <strong>Y\u00fckseklik (h)<\/strong>, boru i\u00e7in <strong>D\u0131\u015f \u00e7ap (D)<\/strong> ve <strong>\u0130\u00e7 \u00e7ap (d)<\/strong>.<\/li>\n<li>Her boyut i\u00e7in birim se\u00e7in (mm, cm, m veya in). Sonu\u00e7lar girdi\u011finiz birim sistemine g\u00f6re verilir; di\u011fer sisteme d\u00f6n\u00fc\u015ft\u00fcr\u00fclm\u00fc\u015f de\u011ferler k\u00f6\u015feli parantez i\u00e7inde g\u00f6sterilir.<\/li>\n<li>Sonu\u00e7 panelinde <strong>Atalet momentini<\/strong> ve <strong>elastik direnme momentini<\/strong>, se\u00e7ti\u011finiz \u015fekle uygulanan tam form\u00fclle birlikte okuyun.<\/li>\n<\/ol>\n<h2>Direnme momenti nedir?<\/h2>\n<p>Bir kiri\u015f e\u011fildi\u011finde, n\u00f6tr eksenden en uzaktaki malzeme en \u00e7ok gerilir; n\u00f6tr eksendeki malzeme ise neredeyse hi\u00e7 e\u011filme gerilmesi ta\u015f\u0131maz. <strong>Elastik direnme momenti<\/strong> \\(S\\), bir kesitin bu eksenden uza\u011fa ne kadar \"etkin\" malzeme yerle\u015ftirdi\u011finin \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. Atalet momentinin en d\u0131\u015f lufe olan uzakl\u0131\u011fa b\u00f6l\u00fcnmesiyle tan\u0131mlan\u0131r, \\(S = I\/c\\), ve e\u011filme form\u00fcl\u00fc \\(\\sigma = M\/S\\) arac\u0131l\u0131\u011f\u0131yla momenti gerilmeye ba\u011flar.<\/p>\n<p>&lt;Practical sonucu basittir: ayn\u0131 moment alt\u0131nda daha b\u00fcy\u00fck direnme momenti, daha d\u00fc\u015f\u00fck en b\u00fcy\u00fck e\u011filme gerilmesi demektir. I ve H profillerinin bu kadar yayg\u0131n olmas\u0131n\u0131n nedeni de budur \u2014 malzemeyi tabulalarda, n\u00f6tr eksenden uzakta yo\u011funla\u015ft\u0131rarak az malzemeyle y\u00fcksek bir \\(S\\) de\u011ferine ula\u015f\u0131rlar. \u00d6rne\u011fin dikd\u00f6rtgen bir kiri\u015fin y\u00fcksekli\u011fi iki kat\u0131na \u00e7\u0131kar\u0131ld\u0131\u011f\u0131nda direnme momenti yakla\u015f\u0131k d\u00f6rt kat\u0131na \u00e7\u0131kar.<\/p>\n<p>Buradaki t\u00fcm \u00f6zellikler <strong>g\u00fc\u00e7l\u00fc x\u2013x ekseni<\/strong> (merkezden ge\u00e7en yatay eksen) \u00e7evresinde hesaplan\u0131r; kiri\u015fler kat ve \u00e7at\u0131 uygulamalar\u0131nda genellikle bu \u015fekilde konumland\u0131r\u0131l\u0131r. Kesit zay\u0131f y\u2013y ekseni \u00e7evresinde de y\u00fcklenebilir, ancak bu durumda direnme momenti belirgin bi\u00e7imde k\u00fc\u00e7\u00fcl\u00fcr \u2014 dikd\u00f6rtgen i\u00e7in \\(S_{yy} = h b^{2}\/6\\).<\/p>\n<p>Sonucu bir tasar\u0131m denetimine d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in, y\u00fcklemenizden gelen e\u011filme momentiyle birle\u015ftirin. Kiri\u015fe etki eden y\u00fck\u00fc biliyorsan\u0131z, <a href=\"https:\/\/wpcalc.com\/en\/engineering\/simply-supported-beam-with-uniform-load\/\">e\u015fit yay\u0131l\u0131 y\u00fck ta\u015f\u0131yan basit mesnetli kiri\u015f<\/a> veya <a href=\"https:\/\/wpcalc.com\/en\/engineering\/simply-supported-beam-with-center-point-load\/\">orta noktadan tekil y\u00fck<\/a> hesaplay\u0131c\u0131lar\u0131m\u0131z en b\u00fcy\u00fck momenti verir; bunu \\(S_{xx}\\)'e b\u00f6lerek tepe gerilmeyi bulun ve malzemenizin emniyet gerilmesiyle kar\u015f\u0131la\u015ft\u0131r\u0131n.<\/p>\n<h2>Varsay\u0131mlar, s\u0131n\u0131rlamalar ve pratik ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>Yaln\u0131zca elastik davran\u0131\u015f.<\/strong> Sonu\u00e7lar, malzemenin akma s\u0131n\u0131r\u0131n\u0131n alt\u0131nda kald\u0131\u011f\u0131 varsay\u0131m\u0131na dayan\u0131r. Plastik tasar\u0131mda bunun yerine plastik direnme momenti (elastik olandan daha b\u00fcy\u00fckt\u00fcr) kullan\u0131lmal\u0131d\u0131r.<\/li>\n<li><strong>Homojen ve simetrik kesitler.<\/strong> Form\u00fcller tek malzeme ve \u00e7ift simetrik bir \u015fekil varsayar; bu nedenle n\u00f6tr eksen merkezden ge\u00e7er. Kompozit kiri\u015flerde (\u00f6rne\u011fin beton\u2013\u00e7elik) d\u00f6n\u00fc\u015ft\u00fcr\u00fclm\u00fc\u015f kesit analizi gerekir.<\/li>\n<li><strong>Fileto yar\u0131\u00e7aplar\u0131 ve ayr\u0131nt\u0131lar yok say\u0131l\u0131r.<\/strong> Ger\u00e7ek haddelenmi\u015f I profillerinde k\u00f6k yar\u0131\u00e7ap\u0131 ve konik tabula bulunur; bu y\u00fczden katalog de\u011ferleri idealle\u015ftirilmi\u015f hesaptan birka\u00e7 y\u00fczde farkl\u0131 olabilir.<\/li>\n<li><strong>Yerle\u015fim y\u00f6n\u00fc \u00f6nemlidir.<\/strong> Y\u00fcksekli\u011fi e\u011filme y\u00f6n\u00fcne paralel \u00f6l\u00e7erek girin. 100 \u00d7 200 kesit yat\u0131k kullan\u0131ld\u0131\u011f\u0131nda (zay\u0131f eksen \u00e7evresinde e\u011filme), ayn\u0131 kesit dik durdu\u011fundaki direnme momentinin yaln\u0131zca d\u00f6rtte birine sahiptir.<\/li>\n<li><strong>Boru denetimi.<\/strong> \u0130\u00e7i bo\u015f borularda i\u00e7 \u00e7ap, d\u0131\u015f \u00e7aptan k\u00fc\u00e7\u00fck olmal\u0131d\u0131r; \u00e7ok inke duvarlarda ayr\u0131ca e\u011filme gerilmesi de\u011fil, yerel burkulma belirleyici olabilir.<\/li>\n<li><strong>E\u011filme her \u015fey de\u011fildir.<\/strong> Bir kiri\u015f kesme, sehim veya lateralmoment burkulmas\u0131 nedeniyle de g\u00f6\u00e7ebilir. Narin bas\u0131n\u00e7 elemanlar\u0131 ayr\u0131ca <a href=\"https:\/\/wpcalc.com\/en\/engineering\/euler-buckling-load\/\">Euler burkulma y\u00fck\u00fc hesaplay\u0131c\u0131s\u0131yla<\/a> denetlenmelidir.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Dikd\u00f6rtgen, daire, boru veya I\/H kiri\u015f kesitleri i\u00e7in elastik direnme momentini ve atalet momentini hesaplay\u0131n. Boyutlar\u0131 girin, \u015fekli se\u00e7in ve g\u00fc\u00e7l\u00fc e\u011filme eksenine ait kesit \u00f6zelliklerini an\u0131nda 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-3923","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\/3923","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=3923"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3923\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=3923"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=3923"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=3923"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}