{"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\/fa\/jib-crane-deflection-calculator\/","title":{"rendered":"\u0645\u062d\u0627\u0633\u0628\u0647\u200c\u06af\u0631 \u0627\u0646\u062d\u0631\u0627\u0641 \u062c\u0631\u062b\u0642\u06cc\u0644 \u0628\u0627\u0632\u0648\u06cc\u06cc"},"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\">\u0636\u0631\u06cc\u0628 \u0627\u06cc\u0645\u0646\u06cc\u060c k<\/label>\n        <select id=\"calculator-safetyFactor\">\n          <option value=\"1.0\" selected>\u06f1.\u06f0\u06f0 \u2013 \u0639\u0645\u0644\u06a9\u0631\u062f \u0627\u0633\u062a\u0627\u062a\u06cc\u06a9 \u0645\u0639\u0645\u0648\u0644\u06cc<\/option>\n          <option value=\"1.1\">\u06f1.\u06f1\u06f0 \u2013 \u0634\u0631\u0648\u0639\/\u062a\u0648\u0642\u0641 \u06cc\u0627 \u0639\u0645\u0644\u06a9\u0631\u062f VFD<\/option>\n          <option value=\"1.15\">\u06f1.\u06f1\u06f5 \u2013 \u0634\u0631\u0648\u0639\/\u062a\u0648\u0642\u0641 \u06cc\u0627 \u0639\u0645\u0644\u06a9\u0631\u062f VFD<\/option>\n          <option value=\"1.2\">\u06f1.\u06f2\u06f0 \u2013 \u062d\u0631\u06a9\u062a \u0633\u0631\u06cc\u0639\u200c\u062a\u0631 \u06cc\u0627 \u0636\u0631\u0628\u0647 \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647<\/option>\n          <option value=\"1.3\">\u06f1.\u06f3\u06f0 \u2013 \u062d\u0631\u06a9\u062a \u0633\u0631\u06cc\u0639\u200c\u062a\u0631 \u06cc\u0627 \u0636\u0631\u0628\u0647 \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647<\/option>\n        <\/select>\n        <div class=\"error-msg\" id=\"calculator-safetyFactor-error\"><\/div>\n      <\/div>\n      <div class=\"calc-row\"><label for=\"calculator-ratedLoad\">\u0638\u0631\u0641\u06cc\u062a \u0646\u0627\u0645\u06cc\u060c Q (N)<\/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\">\u0648\u0632\u0646 \u0628\u0627\u0644\u0627\u0628\u0631 \u0628\u0631\u0642\u06cc\u060c 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\">\u0634\u0639\u0627\u0639 \u0686\u0631\u062e\u0634 \u0645\u0624\u062b\u0631 \u062a\u06cc\u0631\u06a9 \u06a9\u0646\u0633\u0648\u0644\u060c a (\u0645\u06cc\u0644\u06cc\u200c\u0645\u062a\u0631)<\/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\">\u0627\u0631\u062a\u0641\u0627\u0639 \u0645\u0648\u062b\u0631 \u0633\u062a\u0648\u0646\u060c L (\u0645\u06cc\u0644\u06cc\u200c\u0645\u062a\u0631)<\/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\">\u0645\u062f\u0648\u0644 \u0627\u0644\u0627\u0633\u062a\u06cc\u06a9 \u0641\u0648\u0644\u0627\u062f\u060c E (\u0646\u06cc\u0648\u062a\u0646 \u0628\u0631 \u0645\u06cc\u0644\u06cc\u200c\u0645\u062a\u0631 \u0645\u0631\u0628\u0639)<\/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\">\u0645\u0634\u062e\u0635\u0627\u062a \u062a\u06cc\u0631\u0622\u0647\u0646 I \u0634\u06a9\u0644<\/label>\n        <select id=\"calculator-beamSpecification\">\n          <option value=\"\" selected>\u2014 \u0645\u0634\u062e\u0635\u0627\u062a \u062a\u06cc\u0631\u0622\u0647\u0646 I \u0634\u06a9\u0644 \u0631\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u06cc\u062f \u2014<\/option>\n          <option value=\"16\">16<\/option>\n          <option value=\"18\">18<\/option>\n          <option value=\"20a\">20a<\/option>\n          <option value=\"22a\">\u06f2\u06f2a<\/option>\n          <option value=\"25b\">\u06f2\u06f5\u0628<\/option>\n          <option value=\"28a\">\u06f2\u06f8a<\/option>\n          <option value=\"32a\">\u06f3\u06f2a<\/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\">\u0627\u06cc\u0646\u0631\u0633\u06cc \u0645\u0642\u0637\u0639 \u062a\u06cc\u0631 \u0637\u0631\u0647\u060c J1 (cm\u2074)<\/label>\n        <select id=\"calculator-beamInertia\">\n          <option value=\"\" selected>\u2014 \u0645\u0642\u062f\u0627\u0631 J1 \u0631\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u06cc\u062f \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\">\u0642\u0637\u0631 \u0628\u06cc\u0631\u0648\u0646\u06cc \u0644\u0648\u0644\u0647 \u0641\u0648\u0644\u0627\u062f\u06cc \u0633\u062a\u0648\u0646\u060c D (\u0645\u06cc\u0644\u06cc\u200c\u0645\u062a\u0631)<\/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\">\u0642\u0637\u0631 \u062f\u0627\u062e\u0644\u06cc \u0644\u0648\u0644\u0647 \u0641\u0648\u0644\u0627\u062f\u06cc \u0633\u062a\u0648\u0646\u060c d (\u0645\u06cc\u0644\u06cc\u200c\u0645\u062a\u0631)<\/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\">\u0645\u062d\u0627\u0633\u0628\u0647 \u0627\u0646\u062d\u0631\u0627\u0641<\/button><button id=\"calculator-reset\" type=\"button\">\u062a\u0646\u0638\u06cc\u0645 \u0645\u062c\u062f\u062f<\/button><\/div>\n  <\/div>\n\n  <div class=\"result-wrap\" aria-live=\"polite\" aria-atomic=\"true\">\n    <div class=\"result-title\">\u0627\u0646\u062d\u0631\u0627\u0641 \u06a9\u0644 \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u062f\u0647\u060c \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\">\u0641\u0631\u0645\u0648\u0644 \u0645\u062d\u0627\u0633\u0628\u0647 \u0627\u0646\u062d\u0631\u0627\u0641 \u062c\u0631\u062b\u0642\u06cc\u0644 \u0628\u0627\u0632\u0648\u06cc\u06cc<\/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\">\u067e\u0627<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\">\u067e\u0627<sup>2<\/sup>L<\/span>\n      <span class=\"denominator\">\u0627\u06cc \u062c\u06cc<sub>2<\/sub><\/span>\n    <\/span>\n  <\/div>\n<\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>p: \u0636\u0631\u06cc\u0628 \u0627\u06cc\u0645\u0646\u06cc \u00d7 \u0638\u0631\u0641\u06cc\u062a + \u0648\u0632\u0646 \u0628\u0627\u0644\u0627\u0628\u0631 \u0628\u0631\u0642\u06cc<\/li>\n\n\n\n<li>\u0627\u0644\u0641: \u0634\u0639\u0627\u0639 \u0686\u0631\u062e\u0634 \u0645\u0624\u062b\u0631 \u062a\u06cc\u0631 \u06a9\u0646\u0633\u0648\u0644<\/li>\n\n\n\n<li>L: \u0627\u0631\u062a\u0641\u0627\u0639 \u0645\u0648\u062b\u0631 \u0633\u062a\u0648\u0646<\/li>\n\n\n\n<li>E: \u0645\u062f\u0648\u0644 \u0627\u0644\u0627\u0633\u062a\u06cc\u06a9 \u0641\u0648\u0644\u0627\u062f (\u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0628\u0647 \u0635\u0648\u0631\u062a 2.06 \u00d7 10\u00b9\u00b9 Pa \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f)<\/li>\n\n\n\n<li>\u062c\u06cc<sub>1<\/sub>\u0627\u06cc\u0646\u0631\u0633\u06cc \u0645\u0642\u0637\u0639 \u062a\u06cc\u0631 \u0637\u0631\u0647 \u0627\u06cc (\u062a\u06cc\u0631 I \u0634\u06a9\u0644)<\/li>\n\n\n\n<li>\u062c\u06cc<sub>2<\/sub>\u0627\u06cc\u0646\u0631\u0633\u06cc \u0645\u0642\u0637\u0639 \u0633\u062a\u0648\u0646 (\u0644\u0648\u0644\u0647 \u0641\u0648\u0644\u0627\u062f\u06cc)<\/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>\u062c\u06cc<sub>2<\/sub> =<\/span>\n\n    <span class=\"fraction\">\n      <span class=\"numerator\">\u067e\u06cc<\/span>\n      <span class=\"denominator\">64<\/span>\n    <\/span>\n\n    <span>(\u062f\u06cc<sup>4<\/sup> \u2212 \u062f<sup>4<\/sup>)<\/span>\n  <\/div>\n<\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>D: \u0642\u0637\u0631 \u0628\u06cc\u0631\u0648\u0646\u06cc \u0644\u0648\u0644\u0647 \u0641\u0648\u0644\u0627\u062f\u06cc \u0633\u062a\u0648\u0646<\/li>\n\n\n\n<li>\u062f: \u0642\u0637\u0631 \u062f\u0627\u062e\u0644\u06cc \u0644\u0648\u0644\u0647 \u0641\u0648\u0644\u0627\u062f\u06cc \u0633\u062a\u0648\u0646<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u06cc\u0627\u062f\u062f\u0627\u0634\u062a\u200c\u0647\u0627<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u0645\u062f\u0648\u0644 \u0627\u0644\u0627\u0633\u062a\u06cc\u06a9 \u0641\u0648\u0644\u0627\u062f \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0628\u0631\u0627\u0628\u0631 \u0628\u0627 2.06 \u00d7 10\u00b9\u00b9 \u067e\u0627\u0633\u06a9\u0627\u0644 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/li>\n\n\n\n<li>\u0627\u0646\u062a\u062e\u0627\u0628 \u0636\u0631\u06cc\u0628 \u0627\u06cc\u0645\u0646\u06cc: \u06f1.\u06f0\u06f0 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0627\u0633\u062a\u0627\u062a\u06cc\u06a9 \u0645\u0639\u0645\u0648\u0644\u06cc. \u06f1.\u06f1\u06f0-\u06f1.\u06f1\u06f5 \u0628\u0631\u0627\u06cc \u0634\u0631\u0648\u0639\/\u062a\u0648\u0642\u0641 \u06cc\u0627 \u0639\u0645\u0644\u06a9\u0631\u062f VFD. \u06f1.\u06f2\u06f0-\u06f1.\u06f3\u06f0 \u0628\u0631\u0627\u06cc \u062d\u0631\u06a9\u062a \u0633\u0631\u06cc\u0639\u200c\u062a\u0631 \u06cc\u0627 \u0636\u0631\u0628\u0647 \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647. \u0641\u0642\u0637 \u0628\u0631\u0627\u06cc \u062a\u062e\u0645\u06cc\u0646 \u0627\u0648\u0644\u06cc\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0634\u0648\u062f.<\/li>\n\n\n\n<li>\u0627\u06cc\u0646 \u0645\u062d\u0627\u0633\u0628\u0647\u200c\u06af\u0631 \u0627\u0646\u062d\u0631\u0627\u0641 \u062c\u0631\u062b\u0642\u06cc\u0644 \u0628\u0627\u0632\u0648\u06cc\u06cc\u060c \u0645\u0634\u062e\u0635\u0627\u062a \u062a\u06cc\u0631 I \u0634\u06a9\u0644 \u0631\u0627\u06cc\u062c \u0648 \u0645\u0645\u0627\u0646 \u0627\u06cc\u0646\u0631\u0633\u06cc J \u0622\u0646\u0647\u0627 \u0631\u0627 \u062f\u0631 \u0628\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f.<sub>1<\/sub>\u06a9\u0647 \u0628\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0641\u0648\u0644\u0627\u062f \u0633\u0627\u0632\u0647\u200c\u0627\u06cc \u0645\u0634\u062e\u0635 \u0634\u062f\u0647 \u062f\u0631 \u067e\u06cc\u0648\u0633\u062a \u0627\u0644\u0641 \u0627\u0634\u0627\u0631\u0647 \u062f\u0627\u0631\u0646\u062f. <a href=\"https:\/\/www.dgcrane.com\/wp-content\/uploads\/2026\/09\/hot-rolled-section-steel-GBT-706-2016.pdf\">GB\/T 706-2016<\/a> \u06cc\u0627 ISO 657-1:2026 (\u0627\u06cc\u0646 \u062f\u0648 \u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f \u0627\u0633\u0627\u0633\u0627\u064b \u0628\u0627 \u0647\u0645 \u0633\u0627\u0632\u06af\u0627\u0631 \u0647\u0633\u062a\u0646\u062f) \u0648 \u0628\u0631\u0627\u06cc \u062a\u06cc\u0631\u0622\u0647\u0646\u200c\u0647\u0627\u06cc I \u0634\u06a9\u0644 \u0646\u0648\u0631\u062f \u06af\u0631\u0645 \u0627\u0639\u0645\u0627\u0644 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f. <\/li>\n\n\n\n<li>\u062c\u062f\u0648\u0644 \u0632\u06cc\u0631 \u0633\u0627\u06cc\u0631 \u0645\u0634\u062e\u0635\u0627\u062a \u062a\u06cc\u0631\u0622\u0647\u0646 I \u0634\u06a9\u0644 \u0648 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0627\u0646\u062a\u062e\u0627\u0628 \u0634\u0645\u0627 \u0641\u0647\u0631\u0633\u062a \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/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>\u0633\u0627\u06cc\u0631 \u0645\u0634\u062e\u0635\u0627\u062a \u062a\u06cc\u0631 I \u0634\u06a9\u0644 \u0648 \u0645\u0645\u0627\u0646 \u0627\u06cc\u0646\u0631\u0633\u06cc \u0645\u0642\u0637\u0639<\/caption>\n      <thead>\n        <tr>\n          <th scope=\"col\">\u067e\u0631\u062a\u0648 I<\/th>\n          <th scope=\"col\">\u0627\u06cc\u06a9\u0633 \/ \u0633\u0627\u0646\u062a\u06cc \u0645\u062a\u0631<sup>4<\/sup><\/th>\n          <th scope=\"col\">\u067e\u0631\u062a\u0648 I<\/th>\n          <th scope=\"col\">\u0627\u06cc\u06a9\u0633 \/ \u0633\u0627\u0646\u062a\u06cc \u0645\u062a\u0631<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\u0628<\/td><td>2,500<\/td><td>\u06f2\u06f2\u0628<\/td><td>3,570<\/td><\/tr>\n        <tr><td>\u06f2\u06f4 \u0627\u0644\u0641<\/td><td>4,570<\/td><td>\u06f2\u06f4\u0628<\/td><td>4,800<\/td><\/tr>\n        <tr><td>\u06f2\u06f5a<\/td><td>5,020<\/td><td>\u06f2\u06f7 \u0627\u0644\u0641<\/td><td>6,550<\/td><\/tr>\n        <tr><td>\u06f2\u06f7\u0628<\/td><td>6,870<\/td><td>\u06f2\u06f8\u0628<\/td><td>7,480<\/td><\/tr>\n        <tr><td>30a<\/td><td>8,950<\/td><td>30\u0628<\/td><td>9,400<\/td><\/tr>\n        <tr><td>30c<\/td><td>9,850<\/td><td>\u06f3\u06f2\u0628<\/td><td>11,600<\/td><\/tr>\n        <tr><td>\u06f3\u06f2\u0633\u06cc<\/td><td>12,200<\/td><td>\u06f3\u06f6a<\/td><td>15,800<\/td><\/tr>\n        <tr><td>\u06f3\u06f6\u0628<\/td><td>16,500<\/td><td>\u06f3\u06f6\u0633\u06cc<\/td><td>17,300<\/td><\/tr>\n        <tr><td>40a<\/td><td>21,700<\/td><td>40\u0628<\/td><td>22,800<\/td><\/tr>\n        <tr><td>40c<\/td><td>23,900<\/td><td>45a<\/td><td>32,200<\/td><\/tr>\n        <tr><td>\u06f4\u06f5\u0628<\/td><td>33,800<\/td><td>\u06f4\u06f5 \u0633\u0627\u0646\u062a\u06cc\u200c\u0645\u062a\u0631<\/td><td>35,300<\/td><\/tr>\n        <tr><td>50a<\/td><td>46,500<\/td><td>\u06f5\u06f0\u0628<\/td><td>48,600<\/td><\/tr>\n        <tr><td>50c<\/td><td>50,600<\/td><td>\u06f5\u06f5a<\/td><td>62,900<\/td><\/tr>\n        <tr><td>\u06f5\u06f5\u0628<\/td><td>65,600<\/td><td>\u06f5\u06f5 \u0633\u06cc \u0633\u06cc<\/td><td>68,400<\/td><\/tr>\n        <tr><td>\u06f5\u06f6a<\/td><td>65,600<\/td><td>\u06f5\u06f6\u0628<\/td><td>68,500<\/td><\/tr>\n        <tr><td>\u06f5\u06f6\u0633\u06cc<\/td><td>71,400<\/td><td>\u06f6\u06f3a<\/td><td>93,900<\/td><\/tr>\n        <tr><td>\u06f6\u06f3\u0628<\/td><td>98,100<\/td><td>\u06f6\u06f3\u0633\u06cc<\/td><td>102,000<\/td><\/tr>\n      <\/tbody>\n    <\/table>\n  <\/div>\n\n  <p class=\"gb706-note\">\u0645\u0646\u0628\u0639: GB\/T 706-2016\u060c \u067e\u06cc\u0648\u0633\u062a \u0627\u0644\u0641\u060c \u062c\u062f\u0648\u0644 \u0627\u0644\u0641.1. Ix \u06af\u0634\u062a\u0627\u0648\u0631 \u0627\u06cc\u0646\u0631\u0633\u06cc \u062d\u0648\u0644 \u0645\u062d\u0648\u0631 x \u0627\u0633\u062a.<\/p>\n<\/div>\n\n\n\n\n<h2 class=\"wp-block-heading\">\u062c\u0631\u062b\u0642\u06cc\u0644 \u0628\u0627\u0632\u0648\u06cc\u06cc \u0642\u0627\u0628\u0644 \u0627\u062c\u0631\u0627<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u062c\u0631\u062b\u0642\u06cc\u0644 \u062c\u06cc\u0628 \u0627\u06cc\u0633\u062a\u0627\u062f\u0647 \u0631\u0627\u06cc\u06af\u0627\u0646<\/li>\n\n\n\n<li>\u062c\u0631\u062b\u0642\u06cc\u0644 \u0628\u0627\u0632\u0648\u06cc\u06cc \u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f FEM<\/li>\n\n\n\n<li>\u062c\u0631\u062b\u0642\u06cc\u0644 \u0628\u0627\u0632\u0648\u06cc\u06cc \u0627\u06cc\u0633\u062a\u06af\u0627\u0647 \u06a9\u0627\u0631\u06cc<\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"\u0645\u062d\u0627\u0633\u0628\u0647\u200c\u06af\u0631 \u0627\u0646\u062d\u0631\u0627\u0641 \u062c\u0631\u062b\u0642\u06cc\u0644 \u0628\u0627\u0632\u0648\u06cc\u06cc\u060c \u062e\u0645\u0634 \u0631\u0648 \u0628\u0647 \u067e\u0627\u06cc\u06cc\u0646 \u0628\u0627\u0632\u0648\u06cc \u062c\u0631\u062b\u0642\u06cc\u0644 \u0631\u0627 \u062a\u062d\u062a \u0628\u0627\u0631\u0647\u0627\u06cc \u0628\u0644\u0646\u062f \u0634\u062f\u0647 \u062a\u062e\u0645\u06cc\u0646 \u0645\u06cc\u200c\u0632\u0646\u062f \u062a\u0627 \u0627\u06cc\u0645\u0646\u06cc \u0639\u0645\u0644\u06cc\u0627\u062a\u06cc \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u062f. \u0628\u0627 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u0627\u0635\u0644\u06cc \u0634\u0627\u0645\u0644 \u0634\u0639\u0627\u0639 \u0686\u0631\u062e\u0634 \u0645\u0624\u062b\u0631 \u062a\u06cc\u0631\u06a9 \u06a9\u0646\u0633\u0648\u0644 \u0628\u0627\u0632\u0648\u06cc \u062c\u0631\u062b\u0642\u06cc\u0644 \u0648 \u0627\u0631\u062a\u0641\u0627\u0639 \u0645\u0624\u062b\u0631 \u0633\u062a\u0648\u0646\u060c \u0645\u0637\u0627\u0628\u0642\u062a \u0628\u0627 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