{"id":5154,"date":"2026-10-14T10:07:43","date_gmt":"2026-10-14T07:07:43","guid":{"rendered":"https:\/\/wpcalc.com\/es\/ingenieria\/modulo-resistente-seccion\/"},"modified":"2026-10-14T10:07:43","modified_gmt":"2026-10-14T07:07:43","slug":"modulo-resistente-seccion","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/es\/ingenieria\/modulo-resistente-seccion\/","title":{"rendered":"M\u00f3dulo resistente de secciones de viga"},"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\">Calcula las propiedades de la secci\u00f3n para vigas a flexi\u00f3n<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"5154\" data-favorite-title=\"M\u00f3dulo resistente\" data-favorite-url=\"https:\/\/wpcalc.com\/es\/ingenieria\/modulo-resistente-seccion\/\" data-favorite-excerpt=\"Calcula el m\u00f3dulo resistente el\u00e1stico y el momento de inercia de secciones rectangulares, circulares, tubulares o en I\/H. Introduce las dimensiones, elige la forma y obt\u00e9n las propiedades respecto al eje fuerte de flexi\u00f3n.\" aria-label=\"A\u00f1adir a favoritos\" 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\/es\/ingenieria\/modulo-resistente-seccion\/\" method=\"POST\" class=\"calculator\" id=\"calculator-5154\" data-post=\"5154\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Campos de entrada<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">Forma de la secci\u00f3n transversal<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"forma_de_la_seccin_transversal\"><option value=\"rect\" selected>Rect\u00e1ngulo<\/option><option value=\"circle\">C\u00edrculo macizo<\/option><option value=\"tube\">Tubo circular hueco<\/option><option value=\"isec\">Perfil I \/ H<\/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\">Ancho (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=\"ancho_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=\"unidad\" aria-label=\"Unidad\"><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\">Altura (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=\"altura_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=\"unidad\" aria-label=\"Unidad\"><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\">Canto medido en paralelo al eje de flexi\u00f3n<\/small><\/div><div class=\"field has-term\" id=\"input-4\" hidden><label for=\"field-6\">Di\u00e1metro (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=\"dimetro_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=\"unidad\" aria-label=\"Unidad\"><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\">Di\u00e1metro exterior (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=\"dimetro_exterior_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=\"unidad\" aria-label=\"Unidad\"><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\">Di\u00e1metro interior (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=\"dimetro_interior_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=\"unidad\" aria-label=\"Unidad\"><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\">Altura total (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=\"altura_total_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=\"unidad\" aria-label=\"Unidad\"><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\">Ancho del ala (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=\"ancho_del_ala_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=\"unidad\" aria-label=\"Unidad\"><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\">Espesor del ala (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=\"espesor_del_ala_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=\"unidad\" aria-label=\"Unidad\"><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\">Espesor del alma (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=\"espesor_del_alma_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=\"unidad\" aria-label=\"Unidad\"><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=\"Recalcular\" id=\"calculate-button\" data-post=\"5154\">Calcular<\/button><button type=\"reset\">Restablecer<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calcular autom\u00e1ticamente<\/label><small>Si est\u00e1 activado, el resultado se actualizar\u00e1 autom\u00e1ticamente al cambiar cualquier valor.<\/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> Propiedades de la secci\u00f3n<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Momento de inercia<\/span><span class=\"result-term\">Ixx<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><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>M\u00f3dulo resistente el\u00e1stico<\/span><span class=\"result-term\">Sxx<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><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>F\u00f3rmula y notas<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><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\">Copiar enlace a este c\u00e1lculo<\/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>Dejar un comentario<\/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=\"5154\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">\u00bfQu\u00e9 te ha parecido este resultado?<\/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\">Me gusta <\/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\">\u00datil <\/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\">Confuso <\/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\">Decepcionado <\/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\">Inexacto <\/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>M\u00f3dulo resistente<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">F\u00f3rmula<\/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{(rect\u00e1ngulo)} \\qquad I_{xx} = \\frac{\\pi d^{4}}{64} \\ \\text{(c\u00edrculo macizo)} \\\\\\ I_{xx} = \\frac{\\pi \\left(D^{4} - d^{4}\\right)}{64} \\ \\text{(tubo hueco)} \\qquad I_{xx} = \\frac{b h^{3} - \\left(b - t_{w}\\right)\\left(h - 2 t_{f}\\right)^{3}}{12} \\ \\text{(perfil I \/ H)} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Donde:<\/strong><\/p>\n<ul>\n<li>\\(S_{xx}\\) \u2014 m\u00f3dulo resistente el\u00e1stico respecto al eje centroidal horizontal (x\u2013x) (mm\u00b3 o in\u00b3)<\/li>\n<li>\\(I_{xx}\\) \u2014 momento de inercia respecto al mismo eje (mm\u2074 o in\u2074)<\/li>\n<li>\\(c\\) \u2014 distancia del eje neutro a la fibra extrema: \\(c = h\/2\\) o \\(c = D\/2\\)<\/li>\n<li>\\(b\\) \u2014 ancho (o ancho de ala en un perfil I)<\/li>\n<li>\\(h\\) \u2014 altura total de la secci\u00f3n<\/li>\n<li>\\(d\\) \u2014 di\u00e1metro (c\u00edrculo macizo) o di\u00e1metro interior (tubo)<\/li>\n<li>\\(D\\) \u2014 di\u00e1metro exterior de un tubo<\/li>\n<li>\\(t_{f},\\ t_{w}\\) \u2014 espesores del ala y del alma de un perfil I \/ H<\/li>\n<li>\\(M\\) \u2014 momento flector aplicado; \\(\\sigma_{max}\\) \u2014 tensi\u00f3n m\u00e1xima de flexi\u00f3n<\/li>\n<\/ul>\n<p>El m\u00f3dulo resistente mide la eficiencia con que una secci\u00f3n resiste la flexi\u00f3n: cuanto mayor es \\(S_{xx}\\), menor es la tensi\u00f3n de flexi\u00f3n que produce un momento dado.<\/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>M\u00f3dulo resistente \u2013 Ejemplo de c\u00e1lculo<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Ejemplo:<\/strong> una viga de madera de secci\u00f3n rectangular, con un ancho de 100 mm y una altura de 200 mm, cargada de forma que flecta respecto a su eje fuerte.<\/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>Resultado:<\/strong> \\(I_{xx} \\approx 6.67 \\times 10^{7}\\) mm\u2074 y \\(S_{xx} \\approx 6.67 \\times 10^{5}\\) mm\u00b3 (40,68 in\u00b3). Un momento flector de 10 kN\u00b7m producir\u00eda por tanto una tensi\u00f3n m\u00e1xima de \\(\\sigma = 10^{7} \/ 666{,}667 \\approx 15.0\\) N\/mm\u00b2 (MPa).<\/p>\n<p>\n\r\n<\/section>\n<h2>C\u00f3mo usar la calculadora<\/h2>\n<ol>\n<li>Selecciona la <strong>forma de la secci\u00f3n<\/strong>: Rect\u00e1ngulo, C\u00edrculo macizo, Tubo circular hueco o Perfil I \/ H. Solo se muestran los campos de dimensiones relevantes para esa forma.<\/li>\n<li>Introduce las dimensiones en los campos visibles; por ejemplo, <strong>Ancho (b)<\/strong> y <strong>Altura (h)<\/strong> para un rect\u00e1ngulo, o <strong>Di\u00e1metro exterior (D)<\/strong> y <strong>Di\u00e1metro interior (d)<\/strong> para un tubo.<\/li>\n<li>Elige la unidad (mm, cm, m o in) de cada dimensi\u00f3n. Los resultados se expresan en el sistema que hayas empleado, con la conversi\u00f3n al otro sistema entre par\u00e9ntesis.<\/li>\n<li>Lee el <strong>momento de inercia<\/strong> y el <strong>m\u00f3dulo resistente el\u00e1stico<\/strong> en el panel de resultados, junto con la f\u00f3rmula exacta aplicada a tu forma.<\/li>\n<\/ol>\n<h2>\u00bfQu\u00e9 es el m\u00f3dulo resistente?<\/h2>\n<p>Cuando una viga flecta, el material m\u00e1s alejado del eje neutro es el que m\u00e1s tensi\u00f3n soporta, mientras que el situado en el propio eje neutro apenas soporta tensi\u00f3n de flexi\u00f3n. El <strong>m\u00f3dulo resistente el\u00e1stico<\/strong> \\(S\\) refleja cu\u00e1nto material \u00abefectivo\u00bb coloca una secci\u00f3n lejos de ese eje. Se define como el momento de inercia dividido por la distancia a la fibra extrema, \\(S = I\/c\\), y relaciona el momento flector con la tensi\u00f3n mediante la f\u00f3rmula de flexi\u00f3n \\(\\sigma = M\/S\\).<\/p>\n<p>La consecuencia pr\u00e1ctica es sencilla: con el mismo momento aplicado, un m\u00f3dulo resistente mayor implica una tensi\u00f3n m\u00e1xima de flexi\u00f3n menor. Por eso los perfiles I y H son tan habituales: al concentrar el material en las alas, lejos del eje neutro, consiguen un \\(S\\) elevado con relativamente poco material. Duplicar el canto de una viga rectangular, por ejemplo, multiplica su m\u00f3dulo resistente por cuatro aproximadamente.<\/p>\n<p>Aqu\u00ed todas las propiedades se calculan respecto al <strong>eje fuerte x\u2013x<\/strong> (el eje horizontal que pasa por el centroide), que es como suelen disponerse las vigas en forjados y cubiertas. Una secci\u00f3n tambi\u00e9n puede cargarse respecto a su eje d\u00e9bil y\u2013y, y en ese caso el m\u00f3dulo resistente es considerablemente menor: para un rect\u00e1ngulo, \\(S_{yy} = h b^{2}\/6\\).<\/p>\n<p>Para convertir el resultado en una comprobaci\u00f3n de dise\u00f1o, comb\u00ednalo con el momento flector de tu caso de carga. Si conoces la carga sobre la viga, nuestras calculadoras de <a href=\"https:\/\/wpcalc.com\/en\/engineering\/simply-supported-beam-with-uniform-load\/\">viga biapoyada con carga uniformemente repartida<\/a> o de <a href=\"https:\/\/wpcalc.com\/en\/engineering\/simply-supported-beam-with-center-point-load\/\">carga puntual en el centro<\/a> te dar\u00e1n el momento m\u00e1ximo; div\u00eddelo por \\(S_{xx}\\) para obtener la tensi\u00f3n pico y comp\u00e1rala con la tensi\u00f3n admisible de tu material.<\/p>\n<h2>Hip\u00f3tesis, limitaciones y consejos pr\u00e1cticos<\/h2>\n<ul>\n<li><strong>Solo comportamiento el\u00e1stico.<\/strong> Los resultados asumen que el material permanece por debajo de su l\u00edmite el\u00e1stico. Para dise\u00f1o pl\u00e1stico debe usarse en su lugar el m\u00f3dulo resistente pl\u00e1stico (mayor que el el\u00e1stico).<\/li>\n<li><strong>Secciones homog\u00e9neas y sim\u00e9tricas.<\/strong> Las f\u00f3rmulas asumen un \u00fanico material y una forma de doble simetr\u00eda, de modo que el eje neutro pasa por el centroide. Las vigas mixtas (p. ej. hormig\u00f3n\u2013acero) requieren un an\u00e1lisis de secci\u00f3n transformada.<\/li>\n<li><strong>Se ignoran los radios de acuerdo y los detalles.<\/strong> Los perfiles I laminados reales tienen radios de uni\u00f3n y alas de espesor variable, por lo que los valores de cat\u00e1logo difieren unos pocos puntos porcentuales del c\u00e1lculo idealizado.<\/li>\n<li><strong>La orientaci\u00f3n importa.<\/strong> Introduce la altura medida en la direcci\u00f3n de la flexi\u00f3n. Un rect\u00e1ngulo de 100 \u00d7 200 colocado tumbado (flexi\u00f3n respecto al eje d\u00e9bil) tiene solo un cuarto del m\u00f3dulo resistente de la misma secci\u00f3n puesta derecha.<\/li>\n<li><strong>Comprobaci\u00f3n del tubo.<\/strong> En un tubo hueco el di\u00e1metro interior debe ser menor que el exterior; en paredes muy delgadas el dimensionamiento puede adem\u00e1s venir gobernado por la abolladura local y no por la tensi\u00f3n de flexi\u00f3n.<\/li>\n<li><strong>La flexi\u00f3n no lo es todo.<\/strong> Una viga tambi\u00e9n puede fallar por cortante, por deformaci\u00f3n excesiva o por pandeo lateral-torsional. Las piezas esbeltas comprimidas deben comprobarse adem\u00e1s con la <a href=\"https:\/\/wpcalc.com\/en\/engineering\/euler-buckling-load\/\">calculadora de carga de pandeo de Euler<\/a>.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Calcula el m\u00f3dulo resistente el\u00e1stico y el momento de inercia de secciones rectangulares, circulares, tubulares o en I\/H. Introduce las dimensiones, elige la forma y obt\u00e9n las propiedades respecto al eje fuerte de flexi\u00f3n.<\/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":[9],"tags":[82],"class_list":["post-5154","post","type-post","status-publish","format-standard","hentry","category-ingenieria","tag-vigas"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/es\/wp-json\/wp\/v2\/posts\/5154","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/es\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/es\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/es\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/es\/wp-json\/wp\/v2\/comments?post=5154"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/es\/wp-json\/wp\/v2\/posts\/5154\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/es\/wp-json\/wp\/v2\/media?parent=5154"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/es\/wp-json\/wp\/v2\/categories?post=5154"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/es\/wp-json\/wp\/v2\/tags?post=5154"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}