{"id":17345,"date":"2026-09-14T06:20:55","date_gmt":"2026-09-14T06:20:55","guid":{"rendered":"https:\/\/www.dgcrane.com\/?p=17345"},"modified":"2026-09-14T06:20:58","modified_gmt":"2026-09-14T06:20:58","slug":"jib-crane-deflection-calculator","status":"publish","type":"post","link":"https:\/\/www.dgcrane.com\/be\/jib-crane-deflection-calculator\/","title":{"rendered":"\u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u0430\u0440 \u043f\u0440\u0430\u0433\u0456\u043d\u0443 \u0441\u0442\u0440\u044d\u043b\u0430\u0432\u0430\u0433\u0430 \u043a\u0440\u0430\u043d\u0430"},"content":{"rendered":"<!-- WordPress Custom HTML: paste this entire block without adding html or body tags. -->\n<div id=\"calculator\" data-jib-deflection-calculator>\n  <style>\n    #calculator {\n      --primary-color:#0a3487;\n      --primary-hover:#F58423;\n      --error-color:#e53935;\n      --bg-color:#EAEEF7;\n      --text-color:#4a4a4a;\n      --surface-color:#ffffff;\n      --border-color:#cccccc;\n      max-width:545px;\n      padding:30px;\n      background:var(--bg-color);\n      color:var(--text-color);\n      box-sizing:border-box;\n      font-family:Arial,sans-serif;\n    }\n    #calculator * { box-sizing:border-box; }\n    #calculator .calc-title { font-size:18px; font-weight:bold; margin-bottom:6px; }\n    #calculator .calc-row { margin-bottom:18px; }\n    #calculator .calc-grid { display:grid; grid-template-columns:repeat(2,minmax(0,1fr)); gap:0 16px; }\n    #calculator label { display:block; font-size:14px; margin-bottom:6px; }\n    #calculator input,\n    #calculator select {\n      width:100%; height:36px; padding:0 10px; border:1px solid var(--border-color);\n      border-radius:0; background:var(--surface-color); color:var(--text-color);\n      font-size:16px; transition:all .2s ease;\n    }\n    #calculator input:focus,\n    #calculator select:focus { outline:none; border:2px solid var(--primary-color); }\n    #calculator input.error,\n    #calculator select.error { border:2px solid var(--error-color); }\n    #calculator .error-msg { display:none; color:var(--error-color); font-size:12px; margin-top:4px; }\n    #calculator .error-msg.show { display:block; }\n    #calculator .help { display:block; font-size:12px; margin-top:4px; }\n    #calculator .safety-note {\n      grid-column:1 \/ -1;\n      margin:-10px 0 18px;\n      font-size:12px;\n      line-height:1.5;\n    }\n    #calculator .btn-group { display:flex; gap:12px; margin-top:24px; }\n    #calculator button {\n      flex:1; height:34px; line-height:34px; padding:0 10px; border:0; border-radius:0;\n      cursor:pointer; font-size:14px; transition:all .2s ease;\n    }\n    #calculator #calculator-submit { background:var(--primary-color); color:var(--surface-color); }\n    #calculator #calculator-submit:hover { background:var(--primary-hover); }\n    #calculator #calculator-reset { background:var(--surface-color); color:var(--primary-color); border:1px solid var(--primary-color); }\n    #calculator .result-wrap { margin-top:24px; padding:16px; border:1px solid var(--border-color); background:var(--surface-color); text-align:center; }\n    #calculator .result-title { font-size:14px; }\n    #calculator .result-value { margin:4px 0 0; color:var(--primary-color); font-size:40px; font-weight:bold; }\n    #calculator .error-summary { display:none; margin-bottom:14px; color:var(--error-color); font-size:13px; }\n    #calculator .error-summary.show { display:block; }\n    @media (max-width:768px) {\n      #calculator .calc-grid { grid-template-columns:1fr; }\n      #calculator .safety-note { grid-column:auto; }\n      #calculator label, #calculator button { font-size:.28rem; }\n      #calculator input, #calculator select { height:.7rem; font-size:.28rem; }\n      #calculator button { height:.7rem; line-height:.7rem; width:100%; }\n      #calculator .btn-group { flex-direction:column; }\n      #calculator .result-value { font-size:.56rem; }\n    }\n  <\/style>\n\n\n  <div id=\"calculator-form\">\n    <div id=\"calculator-error-summary\" class=\"error-summary\" role=\"alert\" tabindex=\"-1\"><\/div>\n    <div class=\"calc-grid\">\n      <div class=\"calc-row\">\n        <label for=\"calculator-safetyFactor\">\u041a\u0430\u044d\u0444\u0456\u0446\u044b\u0435\u043d\u0442 \u0431\u044f\u0441\u043f\u0435\u043a\u0456, k<\/label>\n        <select id=\"calculator-safetyFactor\">\n          <option value=\"1.0\" selected>1,00 \u2013 \u041d\u0430\u0440\u043c\u0430\u043b\u044c\u043d\u044b \u0441\u0442\u0430\u0442\u044b\u0447\u043d\u044b \u0440\u044d\u0436\u044b\u043c \u043f\u0440\u0430\u0446\u044b<\/option>\n          <option value=\"1.1\">1.10 \u2013 \u041f\u0443\u0441\u043a\/\u0441\u0442\u043e\u043f \u0430\u0431\u043e \u043f\u0440\u0430\u0446\u0430 \u0437 \u0434\u0430\u043f\u0430\u043c\u043e\u0433\u0430\u0439 \u0447\u0430\u0441\u0442\u043e\u0442\u043d\u0430\u0433\u0430 \u043f\u0435\u0440\u0430\u045e\u0442\u0432\u0430\u0440\u0430\u043b\u044c\u043d\u0456\u043a\u0430<\/option>\n          <option value=\"1.15\">1.15 \u2013 \u041f\u0443\u0441\u043a\/\u0441\u0442\u043e\u043f \u0430\u0431\u043e \u043f\u0440\u0430\u0446\u0430 \u0437 \u0434\u0430\u043f\u0430\u043c\u043e\u0433\u0430\u0439 \u0447\u0430\u0441\u0442\u043e\u0442\u043d\u0430\u0433\u0430 \u043f\u0435\u0440\u0430\u045e\u0442\u0432\u0430\u0440\u0430\u043b\u044c\u043d\u0456\u043a\u0430<\/option>\n          <option value=\"1.2\">1.20 \u2013 \u0425\u0443\u0442\u0447\u044d\u0439\u0448\u044b \u0440\u0443\u0445 \u0430\u0431\u043e \u043f\u0440\u044b\u043a\u043c\u0435\u0442\u043d\u044b \u045e\u0434\u0430\u0440<\/option>\n          <option value=\"1.3\">1.30 \u2013 \u0425\u0443\u0442\u0447\u044d\u0439\u0448\u044b \u0440\u0443\u0445 \u0430\u0431\u043e \u043f\u0440\u044b\u043a\u043c\u0435\u0442\u043d\u044b \u045e\u0434\u0430\u0440<\/option>\n        <\/select>\n        <div class=\"error-msg\" id=\"calculator-safetyFactor-error\"><\/div>\n      <\/div>\n      <div class=\"calc-row\"><label for=\"calculator-ratedLoad\">\u041d\u0430\u043c\u0456\u043d\u0430\u043b\u044c\u043d\u0430\u044f \u043c\u0430\u0433\u0443\u0442\u043d\u0430\u0441\u0446\u044c, Q (\u041d)<\/label><input id=\"calculator-ratedLoad\" type=\"number\" step=\"any\" min=\"0\" inputmode=\"decimal\" autocomplete=\"off\"><div class=\"error-msg\" id=\"calculator-ratedLoad-error\"><\/div><\/div>\n\n      <div class=\"calc-row\"><label for=\"calculator-hoistWeight\">\u0412\u0430\u0433\u0430 \u044d\u043b\u0435\u043a\u0442\u0440\u044b\u0447\u043d\u0430\u0439 \u0442\u0430\u043b\u0456, Gh (N)<\/label><input id=\"calculator-hoistWeight\" type=\"number\" step=\"any\" min=\"0\" inputmode=\"decimal\" autocomplete=\"off\"><div class=\"error-msg\" id=\"calculator-hoistWeight-error\"><\/div><\/div>\n      <div class=\"calc-row\"><label for=\"calculator-radius\">\u042d\u0444\u0435\u043a\u0442\u044b\u045e\u043d\u044b \u0440\u0430\u0434\u044b\u0443\u0441 \u043f\u0430\u0432\u0430\u0440\u043e\u0442\u0443 \u043a\u0430\u043d\u0441\u043e\u043b\u044c\u043d\u0430\u0439 \u0431\u044d\u043b\u044c\u043a\u0456, a (\u043c\u043c)<\/label><input id=\"calculator-radius\" type=\"number\" step=\"any\" min=\"0\" inputmode=\"decimal\" autocomplete=\"off\"><div class=\"error-msg\" id=\"calculator-radius-error\"><\/div><\/div>\n      <div class=\"calc-row\"><label for=\"calculator-columnHeight\">\u042d\u0444\u0435\u043a\u0442\u044b\u045e\u043d\u0430\u044f \u0432\u044b\u0448\u044b\u043d\u044f \u043a\u0430\u043b\u043e\u043d\u044b, L (\u043c\u043c)<\/label><input id=\"calculator-columnHeight\" type=\"number\" step=\"any\" min=\"0\" inputmode=\"decimal\" autocomplete=\"off\"><div class=\"error-msg\" id=\"calculator-columnHeight-error\"><\/div><\/div>\n      <div class=\"calc-row\"><label for=\"calculator-elasticModulus\">\u041c\u043e\u0434\u0443\u043b\u044c \u043f\u0440\u0443\u0433\u043a\u0430\u0441\u0446\u0456 \u0441\u0442\u0430\u043b\u0456, E (\u041d\/\u043c\u043c\u00b2)<\/label><input id=\"calculator-elasticModulus\" type=\"number\" step=\"any\" min=\"0\" value=\"206000\" inputmode=\"decimal\" autocomplete=\"off\"><small class=\"help\"><\/small><div class=\"error-msg\" id=\"calculator-elasticModulus-error\"><\/div><\/div>\n      <div class=\"calc-row\">\n        <label for=\"calculator-beamSpecification\">\u0422\u044d\u0445\u043d\u0456\u0447\u043d\u044b\u044f \u0445\u0430\u0440\u0430\u043a\u0442\u0430\u0440\u044b\u0441\u0442\u044b\u043a\u0456 \u0434\u0432\u0443\u0442\u0430\u0432\u0440\u0430\u0432\u0430\u0439 \u0431\u044d\u043b\u044c\u043a\u0456<\/label>\n        <select id=\"calculator-beamSpecification\">\n          <option value=\"\" selected>\u2014 \u0412\u044b\u0431\u0435\u0440\u044b\u0446\u0435 \u0441\u043f\u0435\u0446\u044b\u0444\u0456\u043a\u0430\u0446\u044b\u044e I-\u0432\u043e\u0431\u0440\u0430\u0437\u043d\u0430\u0439 \u0431\u044d\u043b\u044c\u043a\u0456 \u2014<\/option>\n          <option value=\"16\">16<\/option>\n          <option value=\"18\">18<\/option>\n          <option value=\"20a\">20\u0430<\/option>\n          <option value=\"22a\">22\u0430<\/option>\n          <option value=\"25b\">25\u0431<\/option>\n          <option value=\"28a\">28\u0430<\/option>\n          <option value=\"32a\">32\u0430<\/option>\n        <\/select>\n        <div class=\"error-msg\" id=\"calculator-beamSpecification-error\"><\/div>\n      <\/div>\n      <div class=\"calc-row\">\n        <label for=\"calculator-beamInertia\">\u0406\u043d\u044d\u0440\u0446\u044b\u044f \u0441\u044f\u0447\u044d\u043d\u043d\u044f \u043a\u0430\u043d\u0441\u043e\u043b\u044c\u043d\u0430\u0439 \u0431\u044d\u043b\u044c\u043a\u0456, J1 (\u0441\u043c\u2074)<\/label>\n        <select id=\"calculator-beamInertia\">\n          <option value=\"\" selected>\u2014 \u0412\u044b\u0431\u0435\u0440\u044b\u0446\u0435 \u0437\u043d\u0430\u0447\u044d\u043d\u043d\u0435 J1 \u2014<\/option>\n          <option value=\"1130\">1130<\/option>\n          <option value=\"1660\">1660<\/option>\n          <option value=\"2370\">2370<\/option>\n          <option value=\"3400\">3400<\/option>\n          <option value=\"5280\">5280<\/option>\n          <option value=\"7110\">7110<\/option>\n          <option value=\"11100\">11100<\/option>\n        <\/select>\n        <div class=\"error-msg\" id=\"calculator-beamInertia-error\"><\/div>\n      <\/div>\n      <div class=\"calc-row\"><label for=\"calculator-outerDiameter\">\u0417\u043d\u0435\u0448\u043d\u0456 \u0434\u044b\u044f\u043c\u0435\u0442\u0440 \u0441\u0442\u0430\u043b\u0451\u0432\u0430\u0439 \u0442\u0440\u0443\u0431\u044b \u043a\u0430\u043b\u043e\u043d\u044b, D (\u043c\u043c)<\/label><input id=\"calculator-outerDiameter\" type=\"number\" step=\"any\" min=\"0\" inputmode=\"decimal\" autocomplete=\"off\"><div class=\"error-msg\" id=\"calculator-outerDiameter-error\"><\/div><\/div>\n      <div class=\"calc-row\"><label for=\"calculator-innerDiameter\">\u0423\u043d\u0443\u0442\u0440\u0430\u043d\u044b \u0434\u044b\u044f\u043c\u0435\u0442\u0440 \u0441\u0442\u0430\u043b\u0451\u0432\u0430\u0439 \u0442\u0440\u0443\u0431\u044b \u043a\u0430\u043b\u043e\u043d\u044b, d (\u043c\u043c)<\/label><input id=\"calculator-innerDiameter\" type=\"number\" step=\"any\" min=\"0\" inputmode=\"decimal\" autocomplete=\"off\"><div class=\"error-msg\" id=\"calculator-innerDiameter-error\"><\/div><\/div>\n    <\/div>\n    <div class=\"btn-group\"><button id=\"calculator-submit\" type=\"button\">\u0420\u0430\u0437\u043b\u0456\u0447\u044b\u0446\u044c \u043f\u0440\u0430\u0433\u0456\u043d<\/button><button id=\"calculator-reset\" type=\"button\">\u0421\u043a\u0456\u043d\u0443\u0446\u044c<\/button><\/div>\n  <\/div>\n\n  <div class=\"result-wrap\" aria-live=\"polite\" aria-atomic=\"true\">\n    <div class=\"result-title\">\u0420\u0430\u0437\u043b\u0456\u043a\u043e\u0432\u0430\u0435 \u0430\u0433\u0443\u043b\u044c\u043d\u0430\u0435 \u043f\u0440\u0430\u0433\u0456\u043d\u0430\u043d\u043d\u0435, \u03b4<\/div>\n    <div id=\"calculator-result\" class=\"result-value\">&#8212;<\/div>\n  <\/div>\n\n  <script>\n    (function jibCraneDeflectionCalculator() {\n      \"use strict\";\n      const currentScript = document.currentScript;\n      const root = currentScript && currentScript.closest(\"[data-jib-deflection-calculator]\")\n        ? currentScript.closest(\"[data-jib-deflection-calculator]\")\n        : document.querySelector(\"[data-jib-deflection-calculator]\");\n      if (!root) return;\n      const submitButton = root.querySelector(\"#calculator-submit\");\n      const resetButton = root.querySelector(\"#calculator-reset\");\n      const beamSpecification = root.querySelector(\"#calculator-beamSpecification\");\n      const fields = [\"safetyFactor\",\"ratedLoad\",\"hoistWeight\",\"radius\",\"columnHeight\",\"elasticModulus\",\"beamInertia\",\"outerDiameter\",\"innerDiameter\"];\n      const result = root.querySelector(\"#calculator-result\");\n      const errorSummary = root.querySelector(\"#calculator-error-summary\");\n      function getInput(fieldName) { return root.querySelector(\"#calculator-\" + fieldName); }\n      function setError(fieldName, message) {\n        const input = getInput(fieldName);\n        const error = root.querySelector(\"#calculator-\" + fieldName + \"-error\");\n        input.classList.add(\"error\"); error.textContent = message; error.classList.add(\"show\");\n      }\n      function clearError(fieldName) {\n        const input = getInput(fieldName);\n        const error = root.querySelector(\"#calculator-\" + fieldName + \"-error\");\n        input.classList.remove(\"error\"); error.textContent = \"\"; error.classList.remove(\"show\");\n      }\n      function validateInput(fieldName) {\n        const input = getInput(fieldName);\n        const value = Number.parseFloat(input.value);\n        clearError(fieldName);\n        if (input.value.trim() === \"\" || !Number.isFinite(value) || value <= 0) {\n          setError(fieldName, \"Enter a finite value greater than 0.\"); return null;\n        }\n        return value;\n      }\n      function calculateDeflection(values) {\n        const totalLoad = values.safetyFactor * values.ratedLoad + values.hoistWeight;\n        const columnInertia = Math.PI \/ 64 * (Math.pow(values.outerDiameter, 4) - Math.pow(values.innerDiameter, 4));\n        const beamInertiaMm4 = values.beamInertia * 10000;\n        const beamDeflection = totalLoad * Math.pow(values.radius, 3) \/ (3 * values.elasticModulus * beamInertiaMm4);\n        const columnDeflection = totalLoad * Math.pow(values.radius, 2) * values.columnHeight \/ (values.elasticModulus * columnInertia);\n        return { totalLoad:totalLoad, columnInertia:columnInertia, beamDeflection:beamDeflection, columnDeflection:columnDeflection, totalDeflection:beamDeflection + columnDeflection };\n      }\n      function resetResult() { result.textContent = \"--\"; }\n      submitButton.addEventListener(\"click\", function () {\n        errorSummary.textContent = \"\"; errorSummary.classList.remove(\"show\");\n        const values = {};\n        fields.forEach(function (fieldName) { values[fieldName] = validateInput(fieldName); });\n        if (fields.some(function (fieldName) { return values[fieldName] === null; })) {\n          resetResult();\n          errorSummary.textContent = \"Please correct the highlighted input values.\"; errorSummary.classList.add(\"show\"); errorSummary.focus(); return;\n        }\n        if (values.innerDiameter >= values.outerDiameter) {\n          setError(\"innerDiameter\", \"d must be smaller than D.\");\n          resetResult();\n          errorSummary.textContent = \"The inside diameter d must be smaller than the outside diameter D.\"; errorSummary.classList.add(\"show\"); errorSummary.focus(); return;\n        }\n        const calculation = calculateDeflection(values);\n        if (!Number.isFinite(calculation.totalDeflection) || calculation.columnInertia <= 0) {\n          resetResult();\n          errorSummary.textContent = \"The calculation could not produce a finite result. Check the input magnitudes.\"; errorSummary.classList.add(\"show\"); errorSummary.focus(); return;\n        }\n        result.textContent = calculation.totalDeflection.toFixed(2) + \" mm\";\n      });\n      fields.forEach(function (fieldName) {\n        getInput(fieldName).addEventListener(\"input\", function () { clearError(fieldName); errorSummary.textContent = \"\"; errorSummary.classList.remove(\"show\"); });\n      });\n      getInput(\"safetyFactor\").addEventListener(\"change\", function () {\n        clearError(\"safetyFactor\");\n        errorSummary.textContent = \"\";\n        errorSummary.classList.remove(\"show\");\n      });\n      const beamOptions = [\n        { specification:\"16\", inertia:\"1130\" },\n        { specification:\"18\", inertia:\"1660\" },\n        { specification:\"20a\", inertia:\"2370\" },\n        { specification:\"22a\", inertia:\"3400\" },\n        { specification:\"25b\", inertia:\"5280\" },\n        { specification:\"28a\", inertia:\"7110\" },\n        { specification:\"32a\", inertia:\"11100\" }\n      ];\n      beamSpecification.addEventListener(\"change\", function () {\n        const match = beamOptions.find(function (item) { return item.specification === beamSpecification.value; });\n        getInput(\"beamInertia\").value = match ? match.inertia : \"\";\n        clearError(\"beamSpecification\");\n        clearError(\"beamInertia\");\n        errorSummary.textContent = \"\";\n        errorSummary.classList.remove(\"show\");\n      });\n      getInput(\"beamInertia\").addEventListener(\"change\", function () {\n        const match = beamOptions.find(function (item) { return item.inertia === getInput(\"beamInertia\").value; });\n        beamSpecification.value = match ? match.specification : \"\";\n        clearError(\"beamSpecification\");\n        clearError(\"beamInertia\");\n        errorSummary.textContent = \"\";\n        errorSummary.classList.remove(\"show\");\n      });\n      resetButton.addEventListener(\"click\", function () {\n        fields.forEach(function (fieldName) {\n          getInput(fieldName).value = \"\";\n          clearError(fieldName);\n        });\n        getInput(\"safetyFactor\").value = \"1.0\";\n        getInput(\"elasticModulus\").value = \"206000\";\n        beamSpecification.value = \"\";\n        errorSummary.textContent = \"\";\n        errorSummary.classList.remove(\"show\");\n        resetResult();\n      });\n    }());\n  <\/script>\n<\/div>\n\n\n\n\n<h2 class=\"wp-block-heading\">\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0430\u0437\u043b\u0456\u043a\u0443 \u0430\u0434\u0445\u0456\u043b\u0435\u043d\u043d\u044f \u0441\u0442\u0440\u044d\u043b\u0430\u0432\u0430\u0433\u0430 \u043a\u0440\u0430\u043d\u0430<\/h2>\n\n\n\n<div id=\"jib-deflection-formula\">\n  <style>\n    #jib-deflection-formula {\n      font-family: \"Cambria Math\", \"Times New Roman\", serif;\n      font-size: 26px !important;\n      line-height: 1.6;\n      color: #000 !important;\n      text-align: left;\n    }\n\n    #jib-deflection-formula * {\n      color: inherit;\n    }\n\n    #jib-deflection-formula .formula-line {\n      display: flex;\n      align-items: center;\n      justify-content: flex-start;\n      flex-wrap: wrap;\n      gap: 6px;\n    }\n\n    #jib-deflection-formula .fraction {\n      display: inline-flex;\n      flex-direction: column;\n      align-items: center;\n      margin: 0 4px;\n      line-height: 1.2;\n      vertical-align: middle;\n    }\n\n    #jib-deflection-formula .numerator {\n      padding: 0 8px 3px;\n      text-align: center;\n    }\n\n    #jib-deflection-formula .denominator {\n      min-width: 100%;\n      padding: 3px 8px 0;\n      border-top: 1.5px solid #000;\n      text-align: center;\n    }\n\n    #jib-deflection-formula sub {\n      font-size: 0.72em;\n      vertical-align: -0.3em;\n    }\n\n    #jib-deflection-formula sup {\n      font-size: 0.72em;\n      vertical-align: 0.45em;\n    }\n\n    @media (max-width: 600px) {\n      #jib-deflection-formula {\n        font-size: 23px !important;\n      }\n    }\n  <\/style>\n\n  <div\n    class=\"formula-line\"\n    role=\"math\"\n    aria-label=\"delta equals p a cubed divided by 3 E J 1, plus p a squared L divided by E J 2\"\n  >\n    <span>\u03b4 =<\/span>\n\n    <span class=\"fraction\">\n      <span class=\"numerator\">\u043f\u0430<sup>3<\/sup><\/span>\n      <span class=\"denominator\">3EJ<sub>1<\/sub><\/span>\n    <\/span>\n\n    <span>+<\/span>\n\n    <span class=\"fraction\">\n      <span class=\"numerator\">\u043f\u0430<sup>2<\/sup>\u041b<\/span>\n      <span class=\"denominator\">\u042d. \u0414\u0436.<sub>2<\/sub><\/span>\n    <\/span>\n  <\/div>\n<\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>p: \u041a\u0430\u044d\u0444\u0456\u0446\u044b\u0435\u043d\u0442 \u0431\u044f\u0441\u043f\u0435\u043a\u0456 \u00d7 \u0433\u0440\u0443\u0437\u0430\u043f\u0430\u0434\u044b\u043c\u0430\u043b\u044c\u043d\u0430\u0441\u0446\u044c + \u0432\u0430\u0433\u0430 \u044d\u043b\u0435\u043a\u0442\u0440\u044b\u0447\u043d\u0430\u0439 \u0442\u0430\u043b\u0456<\/li>\n\n\n\n<li>a: \u042d\u0444\u0435\u043a\u0442\u044b\u045e\u043d\u044b \u0440\u0430\u0434\u044b\u0443\u0441 \u043f\u0430\u0432\u0430\u0440\u043e\u0442\u0443 \u043a\u0430\u043d\u0441\u043e\u043b\u044c\u043d\u0430\u0439 \u0431\u044d\u043b\u044c\u043a\u0456<\/li>\n\n\n\n<li>L: \u044d\u0444\u0435\u043a\u0442\u044b\u045e\u043d\u0430\u044f \u0432\u044b\u0448\u044b\u043d\u044f \u043a\u0430\u043b\u043e\u043d\u044b<\/li>\n\n\n\n<li>E: \u041c\u043e\u0434\u0443\u043b\u044c \u043f\u0440\u0443\u0433\u043a\u0430\u0441\u0446\u0456 \u0441\u0442\u0430\u043b\u0456 (\u0437\u0432\u044b\u0447\u0430\u0439\u043d\u0430 \u043f\u0440\u044b\u043c\u0430\u0435\u0446\u0446\u0430 \u0437\u0430 2,06 \u00d7 10\u00b9\u00b9 \u041f\u0430)<\/li>\n\n\n\n<li>\u0414\u0436<sub>1<\/sub>\u0406\u043d\u0435\u0440\u0446\u044b\u044f \u0441\u044f\u0447\u044d\u043d\u043d\u044f \u043a\u0430\u043d\u0441\u043e\u043b\u044c\u043d\u0430\u0439 \u0431\u044d\u043b\u044c\u043a\u0456 (\u0434\u0432\u0443\u0442\u0430\u0432\u0440\u0430)<\/li>\n\n\n\n<li>\u0414\u0436<sub>2<\/sub>\u0406\u043d\u0435\u0440\u0446\u044b\u044f \u043a\u0430\u043b\u043e\u043d\u043d\u0430\u0439 \u0441\u0435\u043a\u0446\u044b\u0456 (\u0441\u0442\u0430\u043b\u0451\u0432\u0430\u044f \u0442\u0440\u0443\u0431\u0430)<\/li>\n<\/ul>\n\n\n\n<div id=\"column-inertia-formula\">\n  <style>\n    #column-inertia-formula {\n      font-family: \"Cambria Math\", \"Times New Roman\", serif;\n      font-size: 26px !important;\n      line-height: 1.6;\n      color: #000 !important;\n      text-align: left;\n    }\n\n    #column-inertia-formula * {\n      color: inherit;\n    }\n\n    #column-inertia-formula .formula-line {\n      display: flex;\n      align-items: center;\n      justify-content: flex-start;\n      flex-wrap: wrap;\n      gap: 6px;\n    }\n\n    #column-inertia-formula .fraction {\n      display: inline-flex;\n      flex-direction: column;\n      align-items: center;\n      margin: 0 4px;\n      line-height: 1.2;\n      vertical-align: middle;\n    }\n\n    #column-inertia-formula .numerator {\n      padding: 0 9px 3px;\n      text-align: center;\n    }\n\n    #column-inertia-formula .denominator {\n      min-width: 100%;\n      padding: 3px 9px 0;\n      border-top: 1.5px solid #000;\n      text-align: center;\n    }\n\n    #column-inertia-formula sub {\n      font-size: 0.72em;\n      vertical-align: -0.3em;\n    }\n\n    #column-inertia-formula sup {\n      font-size: 0.72em;\n      vertical-align: 0.45em;\n    }\n\n    @media (max-width: 600px) {\n      #column-inertia-formula {\n        font-size: 23px !important;\n      }\n    }\n  <\/style>\n\n  <div\n    class=\"formula-line\"\n    role=\"math\"\n    aria-label=\"J 2 equals pi divided by 64 multiplied by D to the fourth minus d to the fourth\"\n  >\n    <span>\u0414\u0436<sub>2<\/sub> =<\/span>\n\n    <span class=\"fraction\">\n      <span class=\"numerator\">\u03c0<\/span>\n      <span class=\"denominator\">64<\/span>\n    <\/span>\n\n    <span>(\u0414<sup>4<\/sup> \u2212 \u0434<sup>4<\/sup>)<\/span>\n  <\/div>\n<\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>D: \u0417\u043d\u0435\u0448\u043d\u0456 \u0434\u044b\u044f\u043c\u0435\u0442\u0440 \u0441\u0442\u0430\u043b\u0451\u0432\u0430\u0439 \u0442\u0440\u0443\u0431\u044b \u043a\u0430\u043b\u043e\u043d\u044b<\/li>\n\n\n\n<li>d: \u0423\u043d\u0443\u0442\u0440\u0430\u043d\u044b \u0434\u044b\u044f\u043c\u0435\u0442\u0440 \u0441\u0442\u0430\u043b\u0451\u0432\u0430\u0439 \u0442\u0440\u0443\u0431\u044b \u043a\u0430\u043b\u043e\u043d\u044b<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u0417\u0430\u045e\u0432\u0430\u0433\u0456<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u041c\u043e\u0434\u0443\u043b\u044c \u043f\u0440\u0443\u0433\u043a\u0430\u0441\u0446\u0456 \u0441\u0442\u0430\u043b\u0456 \u0437\u0432\u044b\u0447\u0430\u0439\u043d\u0430 \u043f\u0440\u044b\u043c\u0430\u0435\u0446\u0446\u0430 \u0440\u043e\u045e\u043d\u044b\u043c 2,06 \u00d7 10\u00b9\u00b9 \u041f\u0430<\/li>\n\n\n\n<li>\u0412\u044b\u0431\u0430\u0440 \u043a\u0430\u044d\u0444\u0456\u0446\u044b\u0435\u043d\u0442\u0430 \u0431\u044f\u0441\u043f\u0435\u043a\u0456: 1,00 \u0434\u043b\u044f \u0437\u0432\u044b\u0447\u0430\u0439\u043d\u0430\u0433\u0430 \u0441\u0442\u0430\u0442\u044b\u0447\u043d\u0430\u0433\u0430 \u0440\u0430\u0437\u043b\u0456\u043a\u0443. 1,10\u20131,15 \u0434\u043b\u044f \u0437\u0430\u043f\u0443\u0441\u043a\u0443\/\u0441\u043f\u044b\u043d\u0443 \u0430\u0431\u043e \u043f\u0440\u0430\u0446\u044b \u0437 \u0447\u0430\u0441\u0442\u043e\u0442\u043d\u0430-\u0440\u044d\u0433\u0443\u043b\u044f\u0442\u0430\u0440\u043d\u044b\u043c \u043f\u0440\u044b\u0432\u0430\u0434\u0430\u043c. 1,20\u20131,30 \u0434\u043b\u044f \u0431\u043e\u043b\u044c\u0448 \u0445\u0443\u0442\u043a\u0430\u0433\u0430 \u0440\u0443\u0445\u0443 \u0430\u0431\u043e \u043f\u0440\u044b\u043a\u043c\u0435\u0442\u043d\u0430\u0433\u0430 \u045e\u0434\u0430\u0440\u0443. \u0412\u044b\u043a\u0430\u0440\u044b\u0441\u0442\u043e\u045e\u0432\u0430\u0439\u0446\u0435 \u0442\u043e\u043b\u044c\u043a\u0456 \u0434\u043b\u044f \u043f\u0430\u043f\u044f\u0440\u044d\u0434\u043d\u044f\u0439 \u0430\u0446\u044d\u043d\u043a\u0456.<\/li>\n\n\n\n<li>\u0413\u044d\u0442\u044b \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u0430\u0440 \u0430\u0434\u0445\u0456\u043b\u0435\u043d\u043d\u044f \u0441\u0442\u0440\u0430\u043b\u043e\u0432\u0430\u0433\u0430 \u043a\u0440\u0430\u043d\u0430 \u045e\u0436\u043e \u045e\u043a\u043b\u044e\u0447\u0430\u0435 \u0430\u0433\u0443\u043b\u044c\u043d\u044b\u044f \u0445\u0430\u0440\u0430\u043a\u0442\u0430\u0440\u044b\u0441\u0442\u044b\u043a\u0456 \u0434\u0432\u0443\u0442\u0430\u0432\u0440\u0430\u0432\u044b\u0445 \u0431\u044d\u043b\u0435\u043a \u0456 \u0456\u0445 \u043c\u043e\u043c\u0430\u043d\u0442\u044b \u0456\u043d\u044d\u0440\u0446\u044b\u0456 J<sub>1<\/sub>, \u044f\u043a\u0456\u044f \u0441\u043f\u0430\u0441\u044b\u043b\u0430\u044e\u0446\u0446\u0430 \u043d\u0430 \u0437\u043d\u0430\u0447\u044d\u043d\u043d\u0456 \u043a\u0430\u043d\u0441\u0442\u0440\u0443\u043a\u0446\u044b\u0439\u043d\u0430\u0439 \u0441\u0442\u0430\u043b\u0456, \u0443\u043a\u0430\u0437\u0430\u043d\u044b\u044f \u045e \u0414\u0430\u0434\u0430\u0442\u043a\u0443 \u0410 <a href=\"https:\/\/www.dgcrane.com\/wp-content\/uploads\/2026\/09\/hot-rolled-section-steel-GBT-706-2016.pdf\">GB\/T 706-2016<\/a> \u0430\u0431\u043e ISO 657-1:2026 (\u0433\u044d\u0442\u044b\u044f \u0434\u0432\u0430 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u044b \u043f\u0430 \u0441\u0443\u0442\u043d\u0430\u0441\u0446\u0456 \u045e\u0437\u0433\u043e\u0434\u043d\u0435\u043d\u044b\u044f) \u0456 \u043f\u0440\u044b\u043c\u044f\u043d\u044f\u044e\u0446\u0446\u0430 \u0434\u0430 \u0433\u0430\u0440\u0430\u0447\u0430\u043a\u0430\u0442\u0430\u043d\u044b\u0445 \u0434\u0432\u0443\u0442\u0430\u0432\u0440\u0430\u0432\u044b\u0445 \u0431\u044d\u043b\u0435\u043a. <\/li>\n\n\n\n<li>\u0423 \u0442\u0430\u0431\u043b\u0456\u0446\u044b \u043d\u0456\u0436\u044d\u0439 \u043f\u0440\u044b\u0432\u0435\u0434\u0437\u0435\u043d\u044b \u0456\u043d\u0448\u044b\u044f \u0441\u043f\u0435\u0446\u044b\u0444\u0456\u043a\u0430\u0446\u044b\u0456 \u0434\u0432\u0443\u0442\u0430\u0432\u0440\u0430\u0432\u0430\u0439 \u0431\u044d\u043b\u044c\u043a\u0456 \u0456 \u0430\u0434\u043f\u0430\u0432\u0435\u0434\u043d\u044b\u044f \u0456\u043c \u0437\u043d\u0430\u0447\u044d\u043d\u043d\u0456 \u0434\u043b\u044f \u0432\u0430\u0448\u0430\u0433\u0430 \u0432\u044b\u0431\u0430\u0440\u0443.<\/li>\n<\/ul>\n\n\n\n<!-- Independent GB\/T 706-2016 reference table. -->\n<div id=\"gb706-ibeam-reference-table\">\n  <style>\n    #gb706-ibeam-reference-table {\n      width: 100%;\n      max-width: 760px;\n      margin: 20px auto;\n      color: #333333;\n      font-family: Arial, \"Microsoft YaHei\", sans-serif;\n      font-size: 14px;\n      line-height: 1.35;\n    }\n\n    #gb706-ibeam-reference-table *,\n    #gb706-ibeam-reference-table *::before,\n    #gb706-ibeam-reference-table *::after {\n      box-sizing: border-box;\n    }\n\n    #gb706-ibeam-reference-table .gb706-table-wrap {\n      width: 100%;\n      overflow-x: auto;\n    }\n\n    #gb706-ibeam-reference-table table {\n      width: 100%;\n      min-width: 480px;\n      border-collapse: collapse;\n      table-layout: fixed;\n      background: #ffffff;\n    }\n\n    #gb706-ibeam-reference-table caption {\n      padding: 0 0 10px;\n      color: #222222;\n      font-size: 17px;\n      font-weight: 700;\n      text-align: left;\n    }\n\n    #gb706-ibeam-reference-table th,\n    #gb706-ibeam-reference-table td {\n      width: 25%;\n      padding: 6px 10px;\n      border: 1px solid #777777;\n      text-align: center;\n      vertical-align: middle;\n    }\n\n    #gb706-ibeam-reference-table thead th {\n      background: #f2f2f2;\n      color: #222222;\n      font-weight: 700;\n    }\n\n    #gb706-ibeam-reference-table tbody td:nth-child(1),\n    #gb706-ibeam-reference-table tbody td:nth-child(3) {\n      font-weight: 600;\n    }\n\n    #gb706-ibeam-reference-table tbody td:nth-child(2),\n    #gb706-ibeam-reference-table tbody td:nth-child(4) {\n      font-variant-numeric: tabular-nums;\n    }\n\n    #gb706-ibeam-reference-table .gb706-note {\n      margin: 8px 0 0;\n      color: #555555;\n      font-size: 12px;\n    }\n\n    @media (max-width: 600px) {\n      #gb706-ibeam-reference-table {\n        margin: 12px auto;\n        font-size: 12px;\n      }\n\n      #gb706-ibeam-reference-table caption {\n        font-size: 15px;\n      }\n\n      #gb706-ibeam-reference-table th,\n      #gb706-ibeam-reference-table td {\n        padding: 5px 7px;\n      }\n    }\n  <\/style>\n\n  <div class=\"gb706-table-wrap\">\n    <table>\n      <caption>\u0406\u043d\u0448\u044b\u044f \u0445\u0430\u0440\u0430\u043a\u0442\u0430\u0440\u044b\u0441\u0442\u044b\u043a\u0456 \u0434\u0432\u0443\u0442\u0430\u0432\u0440\u0430\u0432\u0430\u0439 \u0431\u044d\u043b\u044c\u043a\u0456 \u0456 \u043c\u043e\u043c\u0430\u043d\u0442 \u0456\u043d\u044d\u0440\u0446\u044b\u0456 \u0441\u044f\u0447\u044d\u043d\u043d\u044f<\/caption>\n      <thead>\n        <tr>\n          <th scope=\"col\">I-\u043f\u0430\u0434\u043e\u0431\u043d\u0430\u044f \u0431\u044d\u043b\u044c\u043a\u0430<\/th>\n          <th scope=\"col\">Ix \/ \u0441\u043c<sup>4<\/sup><\/th>\n          <th scope=\"col\">I-\u043f\u0430\u0434\u043e\u0431\u043d\u0430\u044f \u0431\u044d\u043b\u044c\u043a\u0430<\/th>\n          <th scope=\"col\">Ix \/ \u0441\u043c<sup>4<\/sup><\/th>\n        <\/tr>\n      <\/thead>\n      <tbody>\n        <tr><td>10<\/td><td>245<\/td><td>12<\/td><td>436<\/td><\/tr>\n        <tr><td>12.6<\/td><td>488<\/td><td>14<\/td><td>712<\/td><\/tr>\n        <tr><td>20\u0431<\/td><td>2,500<\/td><td>22\u0431<\/td><td>3,570<\/td><\/tr>\n        <tr><td>24\u0430<\/td><td>4,570<\/td><td>24\u0431<\/td><td>4,800<\/td><\/tr>\n        <tr><td>25\u0430<\/td><td>5,020<\/td><td>27\u0430<\/td><td>6,550<\/td><\/tr>\n        <tr><td>27\u0431<\/td><td>6,870<\/td><td>28\u0431<\/td><td>7,480<\/td><\/tr>\n        <tr><td>30\u0430<\/td><td>8,950<\/td><td>30\u0431<\/td><td>9,400<\/td><\/tr>\n        <tr><td>30 \u0446\u044d\u043d\u0442\u0430\u045e<\/td><td>9,850<\/td><td>32\u0431<\/td><td>11,600<\/td><\/tr>\n        <tr><td>32\u0441<\/td><td>12,200<\/td><td>36\u0430<\/td><td>15,800<\/td><\/tr>\n        <tr><td>36\u0431<\/td><td>16,500<\/td><td>36\u0441<\/td><td>17,300<\/td><\/tr>\n        <tr><td>40\u0430<\/td><td>21,700<\/td><td>40\u0431<\/td><td>22,800<\/td><\/tr>\n        <tr><td>40 \u0446\u044d\u043d\u0442\u0430\u045e<\/td><td>23,900<\/td><td>45\u0430<\/td><td>32,200<\/td><\/tr>\n        <tr><td>45\u0431<\/td><td>33,800<\/td><td>45 \u0446\u044d\u043d\u0442\u0430\u045e<\/td><td>35,300<\/td><\/tr>\n        <tr><td>50\u0430<\/td><td>46,500<\/td><td>50\u0431<\/td><td>48,600<\/td><\/tr>\n        <tr><td>50 \u0446\u044d\u043d\u0442\u0430\u045e<\/td><td>50,600<\/td><td>55\u0430<\/td><td>62,900<\/td><\/tr>\n        <tr><td>55\u0431<\/td><td>65,600<\/td><td>55\u00a0\u0446\u044d\u043d\u0442\u0430\u045e<\/td><td>68,400<\/td><\/tr>\n        <tr><td>56\u0430<\/td><td>65,600<\/td><td>56\u0431<\/td><td>68,500<\/td><\/tr>\n        <tr><td>56\u0441<\/td><td>71,400<\/td><td>63\u0430<\/td><td>93,900<\/td><\/tr>\n        <tr><td>63\u0431<\/td><td>98,100<\/td><td>63\u0441<\/td><td>102,000<\/td><\/tr>\n      <\/tbody>\n    <\/table>\n  <\/div>\n\n  <p class=\"gb706-note\">\u041a\u0440\u044b\u043d\u0456\u0446\u0430: GB\/T 706-2016, \u0414\u0430\u0434\u0430\u0442\u0430\u043a \u0410, \u0422\u0430\u0431\u043b\u0456\u0446\u0430 \u0410.1. Ix \u2014 \u043c\u043e\u043c\u0430\u043d\u0442 \u0456\u043d\u044d\u0440\u0446\u044b\u0456 \u0430\u0434\u043d\u043e\u0441\u043d\u0430 \u0432\u043e\u0441\u0456 x.<\/p>\n<\/div>\n\n\n\n\n<h2 class=\"wp-block-heading\">\u041f\u0440\u044b\u0434\u0430\u0442\u043d\u044b \u0441\u0442\u0440\u044d\u043b\u0430\u0432\u044b \u043a\u0440\u0430\u043d<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u0412\u043e\u043b\u044c\u043d\u0430\u0441\u0442\u0430\u044f\u0447\u044b \u043a\u0440\u0430\u043d<\/li>\n\n\n\n<li>\u0421\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u044b \u0441\u0442\u0440\u0430\u043b\u043e\u0432\u044b \u043a\u0440\u0430\u043d FEM<\/li>\n\n\n\n<li>\u0421\u0442\u0440\u044d\u043b\u0430\u0432\u044b \u043a\u0440\u0430\u043d \u0434\u043b\u044f \u0440\u0430\u0431\u043e\u0447\u0430\u0439 \u0441\u0442\u0430\u043d\u0446\u044b\u0456<\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"\u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u0430\u0440 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\u043f\u0440\u044b\u0432\u0435\u0441\u0446\u0456 \u0434\u0430 \u043f\u0430\u0441\u0442\u0430\u044f\u043d\u043d\u0430\u0439 \u0434\u044d\u0444\u0430\u0440\u043c\u0430\u0446\u044b\u0456, \u043d\u0435\u0441\u0442\u0430\u0431\u0456\u043b\u044c\u043d\u0430\u0441\u0446\u0456 \u0430\u0431\u043e \u0440\u0430\u0437\u043b\u043e\u043c\u0443. \u0412\u044f\u043b\u0456\u043a\u0430\u044f \u0440\u043e\u0437\u043d\u0456\u0446\u0430 \u043f\u0430\u043c\u0456\u0436 \u0444\u0430\u043a\u0442\u044b\u0447\u043d\u044b\u043c \u0456 \u0440\u0430\u0437\u043b\u0456\u043a\u043e\u0432\u044b\u043c \u043f\u0440\u0430\u0433\u0456\u043d\u0430\u043d\u043d\u0435\u043c \u0441\u0432\u0435\u0434\u0447\u044b\u0446\u044c \u0430\u0431 \u043f\u0435\u0440\u0430\u0433\u0440\u0443\u0437\u0446\u044b, \u043d\u044f\u0448\u0447\u044b\u043b\u044c\u043d\u044b\u0445 \u0437\u043b\u0443\u0447\u044d\u043d\u043d\u044f\u0445 \u0430\u0431\u043e \u043d\u044f\u0441\u043f\u0440\u0430\u045e\u043d\u0430\u0441\u0446\u044f\u0445. \u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u0430\u0440 \u043f\u0440\u0430\u0433\u0456\u043d\u0443 \u0441\u0442\u0440\u0430\u043b\u044b \u043a\u0440\u0430\u043d\u0430 \u0434\u0430\u043f\u0430\u043c\u0430\u0433\u0430\u0435 \u045e \u043f\u043e\u0448\u0443\u043a\u0443 \u0456 \u043b\u0456\u043a\u0432\u0456\u0434\u0430\u0446\u044b\u0456 \u043d\u044f\u0441\u043f\u0440\u0430\u045e\u043d\u0430\u0441\u0446\u0435\u0439 \u0456 \u043d\u0430\u0434\u0437\u0435\u0439\u043d\u0430\u0439 \u043f\u0440\u0430\u0446\u044b \u0441\u0442\u0440\u0430\u043b\u044b \u043a\u0440\u0430\u043d\u0430.","protected":false},"author":8,"featured_media":17361,"parent":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"single-onlinetools.php","format":"standard","meta":{"_acf_changed":false,"rank_math_lock_modified_date":false,"pgc_sgb_lightbox_settings":"","footnotes":""},"categories":[1059],"tags":[],"class_list":["post-17345","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-online-tools"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.dgcrane.com\/be\/wp-json\/wp\/v2\/posts\/17345"}],"collection":[{"href":"https:\/\/www.dgcrane.com\/be\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.dgcrane.com\/be\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.dgcrane.com\/be\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/www.dgcrane.com\/be\/wp-json\/wp\/v2\/comments?post=17345"}],"version-history":[{"count":17,"href":"https:\/\/www.dgcrane.com\/be\/wp-json\/wp\/v2\/posts\/17345\/revisions"}],"predecessor-version":[{"id":17366,"href":"https:\/\/www.dgcrane.com\/be\/wp-json\/wp\/v2\/posts\/17345\/revisions\/17366"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.dgcrane.com\/be\/wp-json\/wp\/v2\/media\/17361"}],"wp:attachment":[{"href":"https:\/\/www.dgcrane.com\/be\/wp-json\/wp\/v2\/media?parent=17345"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.dgcrane.com\/be\/wp-json\/wp\/v2\/categories?post=17345"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dgcrane.com\/be\/wp-json\/wp\/v2\/tags?post=17345"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}