{"id":66672,"date":"2026-10-13T08:33:11","date_gmt":"2026-10-13T05:33:11","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=66672"},"modified":"2026-10-13T08:33:11","modified_gmt":"2026-10-13T05:33:11","slug":"simply-supported-beam-with-center-point-load","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/engineering\/simply-supported-beam-with-center-point-load\/","title":{"rendered":"Simply Supported Beam with Center Point Load"},"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\">Beam Reactions, Bending Moment and Deflection<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"66672\" data-favorite-title=\"Center-Loaded Simply Supported Beam\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/engineering\/simply-supported-beam-with-center-point-load\/\" data-favorite-excerpt=\"Calculate support reactions, maximum bending moment and midspan deflection for a simply supported beam carrying a point load at its center. Enter span, load, Young&#039;s modulus and moment of inertia.\" aria-label=\"Add to Favorites\" 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\/en\/engineering\/simply-supported-beam-with-center-point-load\/\" method=\"POST\" class=\"calculator\" id=\"calculator-66672\" data-post=\"66672\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Span (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=\"span_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=\"unit\" aria-label=\"Unit\"><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\">Distance between the two supports<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-3\">Point load (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=\"point_load_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=\"unit\" aria-label=\"Unit\"><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\">Applied at midspan<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-5\">Young&#039;s modulus (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=\"youngs_modulus_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=\"unit\" aria-label=\"Unit\"><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\">Steel \u2248 200 GPa (29,000 ksi), aluminum \u2248 69 GPa, wood \u2248 11 GPa<\/small><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-7\">Second moment of area (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=\"second_moment_of_area_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=\"unit\" aria-label=\"Unit\"><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\">Area moment of inertia of the beam cross-section about the bending axis<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"66672\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/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> Beam Results<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Support reactions (each)<\/span><span class=\"result-term\">R<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><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>Maximum bending moment<\/span><span class=\"result-term\">M<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><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>Maximum deflection (at midspan)<\/span><span class=\"result-term\">\u03b4<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><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\">Copy link to this calculation<\/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>Leave a Comment<\/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=\"66672\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/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\">Like <\/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\">Helpful <\/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\">Confused <\/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\">Disappointed <\/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\">Inaccurate <\/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>Center-Loaded Simply Supported Beam Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/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>Where:<\/strong><\/p>\n<ul>\n<li>\\(R\\) \u2014 support reaction at each end (N)<\/li>\n<li>\\(P\\) \u2014 point load applied at midspan (N)<\/li>\n<li>\\(L\\) \u2014 span between the two supports (m)<\/li>\n<li>\\(M_{max}\\) \u2014 maximum bending moment, occurring under the load (N\u00b7m)<\/li>\n<li>\\(\\delta_{max}\\) \u2014 maximum deflection at midspan (m)<\/li>\n<li>\\(E\\) \u2014 Young's modulus of the beam material (Pa)<\/li>\n<li>\\(I\\) \u2014 second moment of area of the cross-section (m\u2074)<\/li>\n<\/ul>\n<p>Because the load acts exactly halfway between two identical supports, symmetry splits it equally between them. The bending moment and deflection both peak at midspan, where the load is applied.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.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>Center-Loaded Simply Supported Beam \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> a steel beam with a span of 4 m carries a 10 kN point load at midspan. The beam has Young's modulus \\(E = 200\\) GPa and a second moment of area \\(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>Result:<\/strong> each support carries 5 kN, the maximum bending moment is 10 kN\u00b7m at midspan, and the beam deflects approximately 6.67 mm (about 0.26 in) at the point of loading.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to use the calculator<\/h2>\n<ol>\n<li>Enter the <strong>Span (L)<\/strong> \u2014 the distance between the two supports \u2014 and choose the unit (m or ft).<\/li>\n<li>Enter the <strong>Point load (P)<\/strong> applied at midspan and select its unit (kN, N or lbf).<\/li>\n<li>Enter the material's <strong>Young's modulus (E)<\/strong>. Steel is about 200 GPa, aluminum about 69 GPa, wood about 11 GPa.<\/li>\n<li>Enter the <strong>Second moment of area (I)<\/strong> of the beam cross-section about the bending axis, in cm\u2074, mm\u2074 or in\u2074.<\/li>\n<li>Read the results: the support reactions, the maximum bending moment and the maximum deflection at midspan.<\/li>\n<\/ol>\n<h2>What is a center-loaded simply supported beam?<\/h2>\n<p>A simply supported beam rests on two supports \u2014 typically a pin at one end and a roller at the other. Neither support resists rotation, so the beam is free to bend and its ends can rotate. This is one of the most common idealizations in structural and mechanical engineering: it closely models floor joists on two walls, shafts on two bearings, and many machine and frame elements.<\/p>\n<p>When a single point load \\(P\\) is applied exactly at midspan, the problem becomes symmetric. Each support carries exactly half the load, so \\(R = P\/2\\). The bending moment grows linearly from zero at each support to a peak of \\(M_{max} = PL\/4\\) directly under the load \u2014 this is the point of maximum stress in the beam, where failure or yielding would begin.<\/p>\n<p>The deflection follows a cubic relationship with the span: \\(\\delta_{max} = PL^3\/(48EI)\\). Doubling the span multiplies the deflection by eight, which is why long spans are so much harder to keep stiff. The product \\(EI\\), called the <em>flexural rigidity<\/em>, measures the beam's resistance to bending: a stiffer material (higher \\(E\\)) or a deeper cross-section (higher \\(I\\)) both reduce deflection. If you need to work with material stiffness separately, the <a href=\"https:\/\/wpcalc.com\/en\/engineering\/youngs-modulus-spring-resonant-frequency\/\">Young's modulus calculator<\/a> covers related material property calculations.<\/p>\n<p>When interpreting the result, compare the deflection against your application's allowable limit. Many building codes limit live-load deflection to \\(L\/360\\) or \\(L\/240\\) of the span; for the 4 m example above, \\(L\/360 \\approx 11.1\\) mm, so a 6.67 mm deflection would pass.<\/p>\n<h2>Assumptions and limitations<\/h2>\n<ul>\n<li>The load must act <strong>exactly at midspan<\/strong>. For a load at an arbitrary position, the formulas change \u2014 reactions become \\(R_1 = Pb\/L\\), \\(R_2 = Pa\/L\\).<\/li>\n<li>The beam is assumed prismatic (constant cross-section), homogeneous, and linearly elastic \u2014 deflections are small compared to the span.<\/li>\n<li>Self-weight of the beam is ignored. If the beam is heavy relative to the applied load, add it as a distributed load in a separate analysis.<\/li>\n<li>Supports are ideal: they carry vertical load only and provide no rotational restraint or fixity.<\/li>\n<li>Only vertical loading is considered; horizontal loads, torsion and dynamic effects are outside the scope of these formulas.<\/li>\n<\/ul>\n<p>For dynamic situations \u2014 a mass supported by a beam acting as a spring, for example \u2014 the static result here is only the starting point. See the <a href=\"https:\/\/wpcalc.com\/en\/engineering\/spring-mass\/\">spring mass calculator<\/a> and the <a href=\"https:\/\/wpcalc.com\/en\/engineering\/spring-resonant-frequency\/\">spring resonant frequency calculator<\/a> for vibration analysis.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Calculate support reactions, maximum bending moment and midspan deflection for a simply supported beam carrying a point load at its center. Enter span, load, Young's modulus and moment of inertia.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[4],"tags":[97],"class_list":["post-66672","post","type-post","status-publish","format-standard","hentry","category-engineering","tag-beams"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66672","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=66672"}],"version-history":[{"count":1,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66672\/revisions"}],"predecessor-version":[{"id":66673,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66672\/revisions\/66673"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=66672"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=66672"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=66672"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}