{"id":17183,"date":"2026-06-30T09:34:11","date_gmt":"2026-06-30T09:34:11","guid":{"rendered":"https:\/\/www.dgcrane.com\/?p=17183"},"modified":"2026-06-30T09:35:20","modified_gmt":"2026-06-30T09:35:20","slug":"crane-main-girder-section-moment-of-inertia-calculator","status":"publish","type":"post","link":"https:\/\/www.dgcrane.com\/vi\/crane-main-girder-section-moment-of-inertia-calculator\/","title":{"rendered":"M\u00e1y t\u00ednh m\u00f4men qu\u00e1n t\u00ednh c\u1ee7a ti\u1ebft di\u1ec7n d\u1ea7m ch\u00ednh c\u1ea7n c\u1ea9u"},"content":{"rendered":"<div id=\"calculator\">\n    <style>\n        \/* \u4ec5\u4f5c\u7528\u4e8e#calculator\u5185\u90e8\uff0c\u5168\u5c40\u65e0\u6c61\u67d3\uff0c\u56fa\u5b9a\u989c\u8272\u53d8\u91cf *\/\n        #calculator {\n            --primary-color: #0a3487;\n            --primary-hover: #F58423;\n            --error-color: #e53935;\n            --bg-color: #EAEEF7;\n            --text-color: #4a4a4a;\n            max-width: 600px;\n            padding: 30px;\n            background: var(--bg-color);\n            font-family: Arial, sans-serif;\n            color: var(--text-color);\n            box-sizing: border-box;\n        }\n        #calculator .calc-title {\n            font-size: 18px;\n            margin: 0 0 8px 0;\n            font-weight: 600;\n        }\n        #calculator .sub-title {\n            font-size: 16px;\n            margin: 10px 0 6px;\n            font-weight: 600;\n            border-bottom: 1px solid #ccc;\n            padding-bottom: 3px;\n        }\n        \/* \u8f93\u5165\u533a\u57df\u4e24\u5217\u5e03\u5c40 *\/\n        #calculator .input-grid {\n            display: grid;\n            grid-template-columns: 1fr 1fr;\n            gap: 10px;\n            margin-bottom: 8px;\n        }\n        #calculator .field-wrap {\n            margin-bottom: 6px;\n        }\n        #calculator label {\n            display: block;\n            font-size: 14px;\n            margin-bottom: 3px;\n        }\n        #calculator input {\n            width: 100%;\n            height: 36px;\n            font-size: 16px;\n            padding: 0 10px;\n            border: 1px solid #ccc;\n            border-radius: 0;\n            box-sizing: border-box;\n            transition: 0.2s ease;\n        }\n        #calculator input:focus {\n            outline: none;\n            border: 2px solid var(--primary-color);\n        }\n        #calculator input.error {\n            border: 2px solid var(--error-color);\n        }\n        #calculator .error-msg {\n            font-size: 12px;\n            color: var(--error-color);\n            margin-top: 1px;\n            display: none;\n        }\n        #calculator .btn-group {\n            display: flex;\n            gap: 10px;\n            margin: 10px 0 8px;\n        }\n        #calculator button {\n            flex: 1;\n            height: 34px;\n            line-height: 34px;\n            font-size: 14px;\n            border: none;\n            border-radius: 0;\n            cursor: pointer;\n            transition: 0.2s ease;\n        }\n        #calculator .calc-btn {\n            background: var(--primary-color);\n            color: #fff;\n        }\n        #calculator .calc-btn:hover {\n            background: var(--primary-hover);\n        }\n        #calculator .reset-btn {\n            background: #fff;\n            color: var(--primary-color);\n            border: 1px solid var(--primary-color);\n        }\n        \/* \u4e2d\u95f4\u53c2\u6570 \u6bcf\u63924\u5217\u7d27\u51d1\u5e03\u5c40 *\/\n        #calculator .mid-grid-4 {\n            display: grid;\n            grid-template-columns: repeat(4, 1fr);\n            gap: 8px;\n            margin: 4px 0;\n        }\n        \/* \u5f62\u5fc3\u5355\u72ec\u5c45\u4e2d\u7f51\u683c *\/\n        #calculator .mid-grid-center {\n            display: grid;\n            grid-template-columns: 1fr;\n            max-width: 280px;\n            margin: 4px auto;\n        }\n        #calculator .result-label {\n            font-size: 13px;\n            margin-bottom: 2px;\n        }\n        #calculator .result-label.final-label {\n            font-size: 16px;\n            font-weight: 600;\n            margin-bottom: 4px;\n        }\n        #calculator .result-value {\n            font-size: 18px;\n            font-weight: 600;\n            word-break: break-all;\n            background: #fff;\n            padding: 4px 8px;\n            border:1px solid #ccc;\n        }\n        \/* \u6700\u7ec8\u7ed3\u679c\u5355\u72ec\u884c *\/\n        #calculator .final-row {\n            margin-top:4px;\n        }\n        \/* \u79fb\u52a8\u7aef\u9002\u914d 768px\u4ee5\u4e0b *\/\n        @media (max-width: 768px) {\n            #calculator .input-grid {\n                grid-template-columns: 1fr;\n            }\n            #calculator .mid-grid-4 {\n                grid-template-columns: repeat(2, 1fr);\n            }\n            #calculator input {\n                height: 0.7rem;\n                font-size: 0.28rem;\n            }\n            #calculator button {\n                height: 0.7rem;\n                line-height: 0.7rem;\n                font-size: 0.28rem;\n            }\n            #calculator .btn-group {\n                flex-direction: column;\n            }\n            #calculator button {\n                width: 100%;\n            }\n        }\n    <\/style>\n\n    <!-- \u6a21\u57571\uff1a\u624b\u52a8\u8f93\u5165\u539f\u59cb\u622a\u9762\u5c3a\u5bf8\uff0c\u6807\u9898\u4e0b\u65b9\u65e0\u591a\u4f59\u7a7a\u767d -->\n    <h4 class=\"sub-title\">1. K\u00edch th\u01b0\u1edbc ph\u1ea7n nh\u1eadp li\u1ec7u th\u1ee7 c\u00f4ng<\/h4>\n    <div class=\"input-grid\">\n        <div class=\"field-wrap\">\n            <label for=\"h\">Chi\u1ec1u cao d\u1ea7m h (cm)<\/label>\n            <input type=\"number\" step=\"0.01\" id=\"h\" placeholder=\"v\u00ed d\u1ee5 111.6\">\n            <div class=\"error-msg\" id=\"err-h\">Vui l\u00f2ng nh\u1eadp s\u1ed1 h\u1ee3p l\u1ec7<\/div>\n        <\/div>\n        <div class=\"field-wrap\">\n            <label for=\"B1\">Chi\u1ec1u r\u1ed9ng m\u1eb7t b\u00edch tr\u00ean B1 (cm)<\/label>\n            <input type=\"number\" step=\"0.01\" id=\"B1\" placeholder=\"v\u00ed d\u1ee5 50\">\n            <div class=\"error-msg\" id=\"err-B1\">Vui l\u00f2ng nh\u1eadp s\u1ed1 h\u1ee3p l\u1ec7<\/div>\n        <\/div>\n        <div class=\"field-wrap\">\n            <label for=\"B2\">Chi\u1ec1u r\u1ed9ng m\u1eb7t b\u00edch \u0111\u00e1y B2 (cm)<\/label>\n            <input type=\"number\" step=\"0.01\" id=\"B2\" placeholder=\"v\u00ed d\u1ee5 50\">\n            <div class=\"error-msg\" id=\"err-B2\">Vui l\u00f2ng nh\u1eadp s\u1ed1 h\u1ee3p l\u1ec7<\/div>\n        <\/div>\n        <div class=\"field-wrap\">\n            <label for=\"t1\">\u0110\u1ed9 d\u00e0y m\u1eb7t b\u00edch tr\u00ean t1 (cm)<\/label>\n            <input type=\"number\" step=\"0.01\" id=\"t1\" placeholder=\"v\u00ed d\u1ee5 0.8\">\n            <div class=\"error-msg\" id=\"err-t1\">Vui l\u00f2ng nh\u1eadp s\u1ed1 h\u1ee3p l\u1ec7<\/div>\n        <\/div>\n        <div class=\"field-wrap\">\n            <label for=\"t2\">\u0110\u1ed9 d\u00e0y m\u1eb7t b\u00edch \u0111\u00e1y t2 (cm)<\/label>\n            <input type=\"number\" step=\"0.01\" id=\"t2\" placeholder=\"v\u00ed d\u1ee5 0.8\">\n            <div class=\"error-msg\" id=\"err-t2\">Vui l\u00f2ng nh\u1eadp s\u1ed1 h\u1ee3p l\u1ec7<\/div>\n        <\/div>\n        <div class=\"field-wrap\">\n            <label for=\"delta1\">\u0110\u1ed9 d\u00e0y th\u00e0nh ch\u00ednh \u03b41 (cm)<\/label>\n            <input type=\"number\" step=\"0.01\" id=\"delta1\" placeholder=\"v\u00ed d\u1ee5 0.6\">\n            <div class=\"error-msg\" id=\"err-delta1\">Vui l\u00f2ng nh\u1eadp s\u1ed1 h\u1ee3p l\u1ec7<\/div>\n        <\/div>\n        <div class=\"field-wrap\">\n            <label for=\"delta2\">\u0110\u1ed9 d\u00e0y m\u00e0ng th\u1ee9 c\u1ea5p \u03b42 (cm)<\/label>\n            <input type=\"number\" step=\"0.01\" id=\"delta2\" placeholder=\"v\u00ed d\u1ee5 0.6\">\n            <div class=\"error-msg\" id=\"err-delta2\">Vui l\u00f2ng nh\u1eadp s\u1ed1 h\u1ee3p l\u1ec7<\/div>\n        <\/div>\n    <\/div>\n\n    <!-- \u6a21\u57572\uff1a\u81ea\u52a8\u8ba1\u7b97\u4e2d\u95f4\u53c2\u6570 \u6309\u94ae\u4e0a\u65b9 -->\n    <h4 class=\"sub-title\">2. C\u00e1c tham s\u1ed1 trung gian \u0111\u01b0\u1ee3c t\u00ednh to\u00e1n t\u1ef1 \u0111\u1ed9ng<\/h4>\n    <!-- A1 A2 A3 A4 \u4e00\u63924\u4e2a -->\n    <div class=\"mid-grid-4\">\n        <div class=\"result-col\">\n            <div class=\"result-label\">A1 (cm\u00b2)<\/div>\n            <div class=\"result-value\" id=\"res-A1\">&#8212;<\/div>\n        <\/div>\n        <div class=\"result-col\">\n            <div class=\"result-label\">A2 (cm\u00b2)<\/div>\n            <div class=\"result-value\" id=\"res-A2\">&#8212;<\/div>\n        <\/div>\n        <div class=\"result-col\">\n            <div class=\"result-label\">A3 (cm\u00b2)<\/div>\n            <div class=\"result-value\" id=\"res-A3\">&#8212;<\/div>\n        <\/div>\n        <div class=\"result-col\">\n            <div class=\"result-label\">A4 (cm\u00b2)<\/div>\n            <div class=\"result-value\" id=\"res-A4\">&#8212;<\/div>\n        <\/div>\n    <\/div>\n    <!-- d1 d2 d3 d4 \u4e00\u63924\u4e2a -->\n    <div class=\"mid-grid-4\">\n        <div class=\"result-col\">\n            <div class=\"result-label\">d1<\/div>\n            <div class=\"result-value\" id=\"res-d1\">&#8212;<\/div>\n        <\/div>\n        <div class=\"result-col\">\n            <div class=\"result-label\">d2<\/div>\n            <div class=\"result-value\" id=\"res-d2\">&#8212;<\/div>\n        <\/div>\n        <div class=\"result-col\">\n            <div class=\"result-label\">d3<\/div>\n            <div class=\"result-value\" id=\"res-d3\">&#8212;<\/div>\n        <\/div>\n        <div class=\"result-col\">\n            <div class=\"result-label\">d4<\/div>\n            <div class=\"result-value\" id=\"res-d4\">&#8212;<\/div>\n        <\/div>\n    <\/div>\n    <!-- \u6574\u4f53\u5f62\u5fc3\u5355\u72ec\u5c45\u4e2d\u5c55\u793a -->\n    <div class=\"mid-grid-center\">\n        <div class=\"result-col\">\n            <div class=\"result-label\">T\u00e2m tr\u1ecdng l\u1ef1c to\u00e0n c\u1ea7u \u0233<\/div>\n            <div class=\"result-value\" id=\"res-ybar\">&#8212;<\/div>\n        <\/div>\n    <\/div>\n\n    <!-- \u64cd\u4f5c\u6309\u94ae -->\n    <div class=\"btn-group\">\n        <button class=\"calc-btn\" id=\"calc-trigger\">T\u00ednh to\u00e1n<\/button>\n        <button class=\"reset-btn\" id=\"calc-reset\">\u0110\u1eb7t l\u1ea1i t\u1ea5t c\u1ea3<\/button>\n    <\/div>\n\n    <!-- \u65e0\u4e09\u7ea7\u6807\u9898\uff0cIx\u6807\u7b7e\u540ch4\u5b57\u53f7 -->\n    <div class=\"final-row\">\n        <div class=\"result-label final-label\">M\u00f4men qu\u00e1n t\u00ednh Ix (cm\u2074):<\/div>\n        <div class=\"result-value\" id=\"res-Ix\">&#8212;<\/div>\n    <\/div>\n\n    <script>\n        const BoxBeamCalc = {\n            setError(inputId, errId) {\n                const input = document.getElementById(inputId);\n                const errBox = document.getElementById(errId);\n                input.classList.add('error');\n                errBox.style.display = 'block';\n            },\n            clearError(inputId, errId) {\n                const input = document.getElementById(inputId);\n                const errBox = document.getElementById(errId);\n                input.classList.remove('error');\n                errBox.style.display = 'none';\n            },\n            validateInput(inputId, errId) {\n                const val = document.getElementById(inputId).value.trim();\n                if (val === '') return false;\n                const num = parseFloat(val);\n                if (isNaN(num) || num <= 0) {\n                    this.setError(inputId, errId);\n                    return false;\n                }\n                this.clearError(inputId, errId);\n                return num;\n            },\n            resetAll() {\n                const inputIds = ['h','B1','B2','t1','t2','delta1','delta2'];\n                const errIds = ['err-h','err-B1','err-B2','err-t1','err-t2','err-delta1','err-delta2'];\n                inputIds.forEach((id, idx) => {\n                    document.getElementById(id).value = '';\n                    this.clearError(id, errIds[idx]);\n                });\n                document.getElementById('res-A1').innerText = '--';\n                document.getElementById('res-A2').innerText = '--';\n                document.getElementById('res-A3').innerText = '--';\n                document.getElementById('res-A4').innerText = '--';\n                document.getElementById('res-ybar').innerText = '--';\n                document.getElementById('res-d1').innerText = '--';\n                document.getElementById('res-d2').innerText = '--';\n                document.getElementById('res-d3').innerText = '--';\n                document.getElementById('res-d4').innerText = '--';\n                document.getElementById('res-Ix').innerText = '--';\n            },\n            compute() {\n                const h = this.validateInput('h','err-h');\n                const B1 = this.validateInput('B1','err-B1');\n                const B2 = this.validateInput('B2','err-B2');\n                const t1 = this.validateInput('t1','err-t1');\n                const t2 = this.validateInput('t2','err-t2');\n                const delta1 = this.validateInput('delta1','err-delta1');\n                const delta2 = this.validateInput('delta2','err-delta2');\n                if(!h||!B1||!B2||!t1||!t2||!delta1||!delta2) return;\n\n                const hw = h - t1 - t2;\n                if(hw <= 0) return;\n\n                const A1 = B1 * t1;\n                const A2 = B2 * t2;\n                const A3 = hw * delta1;\n                const A4 = hw * delta2;\n                const totalA = A1 + A2 + A3 + A4;\n\n                const y1 = h - t1\/2;\n                const y2 = t2\/2;\n                const y3 = t2 + hw\/2;\n                const y4 = t2 + hw\/2;\n\n                const yBar = (A1*y1 + A2*y2 + A3*y3 + A4*y4) \/ totalA;\n\n                const d1 = yBar - y1;\n                const d2 = yBar - y2;\n                const d3 = yBar - y3;\n                const d4 = yBar - y4;\n\n                const Iself1 = (B1 * Math.pow(t1,3)) \/ 12;\n                const Iself2 = (B2 * Math.pow(t2,3)) \/ 12;\n                const Iself3 = (delta1 * Math.pow(hw,3)) \/ 12;\n                const Iself4 = (delta2 * Math.pow(hw,3)) \/ 12;\n\n                const Ix = Iself1 + A1*Math.pow(d1,2)\n                         + Iself2 + A2*Math.pow(d2,2)\n                         + Iself3 + A3*Math.pow(d3,2)\n                         + Iself4 + A4*Math.pow(d4,2);\n\n                document.getElementById('res-A1').innerText = A1.toFixed(2);\n                document.getElementById('res-A2').innerText = A2.toFixed(2);\n                document.getElementById('res-A3').innerText = A3.toFixed(2);\n                document.getElementById('res-A4').innerText = A4.toFixed(2);\n                document.getElementById('res-ybar').innerText = yBar.toFixed(2);\n\n                document.getElementById('res-d1').innerText = d1.toFixed(2);\n                document.getElementById('res-d2').innerText = d2.toFixed(2);\n                document.getElementById('res-d3').innerText = d3.toFixed(2);\n                document.getElementById('res-d4').innerText = d4.toFixed(2);\n\n                document.getElementById('res-Ix').innerText = Ix.toFixed(2);\n            },\n            bindEvents() {\n                document.getElementById('calc-trigger').addEventListener('click', ()=>this.compute());\n                document.getElementById('calc-reset').addEventListener('click', ()=>this.resetAll());\n                const inputList = document.querySelectorAll('#calculator input');\n                inputList.forEach(input => {\n                    const errId = 'err-' + input.id;\n                    input.addEventListener('input', ()=>this.clearError(input.id, errId));\n                });\n            }\n        };\n        document.addEventListener('DOMContentLoaded', ()=>BoxBeamCalc.bindEvents());\n    <\/script>\n<\/div>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">H\u01b0\u1edbng d\u1eabn s\u1eed d\u1ee5ng<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>C\u00e1c th\u00f4ng s\u1ed1 trong m\u00e1y t\u00ednh m\u00f4men qu\u00e1n t\u00ednh m\u1eb7t c\u1eaft d\u1ea7m ch\u00ednh c\u1ea7n c\u1ea9u n\u00e0y <br>Ch\u00fang ch\u1ee7 y\u1ebfu \u00e1p d\u1ee5ng cho c\u00e1c ti\u1ebft di\u1ec7n r\u1ed7ng h\u00ecnh ch\u1eef nh\u1eadt.<\/li>\n\n\n\n<li>T\u00d4I<sub>x<\/sub> t\u01b0\u01a1ng \u1ee9ng v\u1edbi t\u1ea3i tr\u1ecdng th\u1eb3ng \u0111\u1ee9ng v\u00e0 \u0111\u1ed9 u\u1ed1n th\u1eb3ng \u0111\u1ee9ng c\u1ee7a tr\u1ee5c ch\u00ednh c\u1ea7n c\u1ea9u. <br>d\u1ea7m; gi\u00e1 tr\u1ecb n\u00e0y c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c thay th\u1ebf tr\u1ef1c ti\u1ebfp v\u00e0o ph\u00e9p t\u00ednh c\u1ee7a d\u1ea7m ch\u00ednh. <br>\u0110\u1ed9 v\u00f5ng c\u1ee7a d\u1ea7m.<\/li>\n<\/ul>\n\n\n\n<div style=\"height:55px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">C\u00f4ng th\u1ee9c t\u00ednh m\u00f4men qu\u00e1n t\u00ednh c\u1ee7a ti\u1ebft di\u1ec7n d\u1ea7m ch\u00ednh c\u1ea7n c\u1ea9u<\/h2>\n\n\n\n<!DOCTYPE html>\n<html lang=\"zh-CN\">\n<head>\n    <meta charset=\"UTF-8\">\n    <title>\u8d77\u91cd\u673a\u4e3b\u6881\u622a\u9762\u60ef\u6027\u77e9\u516c\u5f0f<\/title>\n    <!-- MathJax \u6e32\u67d3\u914d\u7f6e -->\n    <script>\n        window.MathJax = {\n            tex: {\n                inlineMath: [['$', '$'], ['\\\\(', '\\\\)']],\n                displayMath: [['$$', '$$'], ['\\\\[', '\\\\]']]\n            },\n            svg: { fontCache: 'global' }\n        };\n    <\/script>\n    <script id=\"MathJax-script\" async src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-mml-chtml.js\"><\/script>\n    <style>\n        .formula {\n            font-family: \"Microsoft YaHei\", sans-serif;\n            font-size: 1.2em;\n            margin: 20px 0;\n            padding: 15px;\n            background: #ffffff;\n            border-radius: 8px;\n            \/* \u5bb9\u5668\u5185\u5bb9\u5de6\u5bf9\u9f50 *\/\n            text-align: left;\n        }\n        \/* \u5f3a\u5236 MathJax \u5757\u516c\u5f0f\u5de6\u5bf9\u9f50 *\/\n        .mjx-container[jax=\"CHTML\"][display=\"true\"],\n        .mjx-container[jax=\"SVG\"][display=\"true\"] {\n            text-align: left !important;\n            margin: 0 !important;\n        }\n    <\/style>\n<\/head>\n<body>\n\n<div class=\"formula\">\n\\[ \\begin{aligned} I_x &amp;= \\frac{B_1 \\times t_1^3}{12} + A_1 d_1^2 \\\\ &amp;\\quad + \\frac{B_2 \\times t_2^3}{12} + A_2 d_2^2 \\\\ &amp;\\quad + \\frac{\\delta_1 \\times h_w^3}{12} + A_3 d_3^2 \\\\ &amp;\\quad + \\frac{\\delta_2 \\times h_w^3}{12} + A_4 d_4^2 \\end{aligned} \\]\n<\/div>\n\n<\/body>\n<\/html>\n\n\n\n<ul class=\"wp-block-list\">\n<li>B1: Chi\u1ec1u r\u1ed9ng m\u1eb7t b\u00edch tr\u00ean (\u0111\u01a1n v\u1ecb: cm)<\/li>\n\n\n\n<li>B2: Chi\u1ec1u r\u1ed9ng m\u1eb7t b\u00edch d\u01b0\u1edbi (\u0111\u01a1n v\u1ecb: cm)<\/li>\n\n\n\n<li>t1: \u0110\u1ed9 d\u00e0y m\u1eb7t b\u00edch tr\u00ean (\u0111\u01a1n v\u1ecb: cm)<\/li>\n\n\n\n<li>t2: \u0110\u1ed9 d\u00e0y m\u1eb7t b\u00edch d\u01b0\u1edbi (\u0111\u01a1n v\u1ecb: cm)<\/li>\n\n\n\n<li>A1: Di\u1ec7n t\u00edch m\u1eb7t b\u00edch tr\u00ean (\u0111\u01a1n v\u1ecb: cm\u00b2)<sup>2<\/sup>)<\/li>\n\n\n\n<li>A2: Di\u1ec7n t\u00edch m\u1eb7t b\u00edch d\u01b0\u1edbi (\u0111\u01a1n v\u1ecb: cm\u00b2)<sup>2<\/sup>)<\/li>\n\n\n\n<li>A3: Di\u1ec7n t\u00edch web ch\u00ednh (\u0111\u01a1n v\u1ecb: cm\u00b2)<sup>2<\/sup>)<\/li>\n\n\n\n<li>A4: Di\u1ec7n t\u00edch web con (\u0111\u01a1n v\u1ecb: cm\u00b2)<sup>2<\/sup>)<\/li>\n\n\n\n<li>d1: Kho\u1ea3ng c\u00e1ch t\u1eeb m\u1eb7t b\u00edch tr\u00ean \u0111\u1ebfn t\u00e2m m\u1eb7t c\u1eaft<\/li>\n\n\n\n<li>d2: Kho\u1ea3ng c\u00e1ch t\u1eeb m\u1eb7t b\u00edch d\u01b0\u1edbi \u0111\u1ebfn t\u00e2m m\u1eb7t c\u1eaft<\/li>\n\n\n\n<li>d3: Kho\u1ea3ng c\u00e1ch t\u1eeb m\u1ea1ng ch\u00ednh \u0111\u1ebfn t\u00e2m c\u1ee7a ph\u1ea7n<\/li>\n\n\n\n<li>d4: Kho\u1ea3ng c\u00e1ch t\u1eeb m\u1ea1ng l\u01b0\u1edbi ph\u1ee5 \u0111\u1ebfn t\u00e2m ph\u1ea7n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Kho\u1ea3ng c\u00e1ch t\u00e2m t\u1ea5m \u0111\u1ebfn m\u1eb7t c\u1eaft<\/h3>\n\n\n\n<!DOCTYPE html>\n<html lang=\"zh-CN\">\n<head>\n    <meta charset=\"UTF-8\">\n    <title>\u5404\u677f\u5f62\u5fc3\u8ddd\u79bb\u516c\u5f0f<\/title>\n    <!-- MathJax \u6e32\u67d3\u914d\u7f6e -->\n    <script>\n        window.MathJax = {\n            tex: {\n                inlineMath: [['$', '$'], ['\\\\(', '\\\\)']],\n                displayMath: [['$$', '$$'], ['\\\\[', '\\\\]']]\n            },\n            svg: { fontCache: 'global' }\n        };\n    <\/script>\n    <script id=\"MathJax-script\" async src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-mml-chtml.js\"><\/script>\n    <style>\n        .formula {\n            font-family: \"Microsoft YaHei\", sans-serif;\n            font-size: 1.2em;\n            margin: 20px 0;\n            padding: 15px;\n            background: #ffffff;\n            border-radius: 8px;\n        }\n    <\/style>\n<\/head>\n<body>\n<div class=\"formula\">\n\\[ \\begin{aligned} d_1 &amp;= \\bar{y} \u2013 y_1 \\\\ d_2 &amp;= \\bar{y} \u2013 y_2 \\\\ d_3 &amp;= \\bar{y} \u2013 y_3 \\\\ d_4 &amp;= \\bar{y} \u2013 y_4 \\end{aligned} \\]\n<\/div>\n<\/body>\n<\/html>\n\n\n\n<ul class=\"wp-block-list\">\n<li>y1\/y2\/y3\/y4: T\u1ecda \u0111\u1ed9 Y c\u1ee7a tr\u1ecdng t\u00e2m m\u1ed7i t\u1ea5m trong m\u1eb7t c\u1eaft ngang.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">T\u00e2m m\u1eb7t c\u1eaft<\/h3>\n\n\n\n<!DOCTYPE html>\n<html lang=\"zh-CN\">\n<head>\n    <meta charset=\"UTF-8\">\n    <!-- MathJax \u6e32\u67d3\u914d\u7f6e -->\n    <script>\n        window.MathJax = {\n            tex: {\n                inlineMath: [['$', '$'], ['\\\\(', '\\\\)']],\n                displayMath: [['$$', '$$'], ['\\\\[', '\\\\]']]\n            },\n            svg: { fontCache: 'global' }\n        };\n    <\/script>\n    <script id=\"MathJax-script\" async src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-mml-chtml.js\"><\/script>\n    <style>\n        .formula {\n            font-family: \"Microsoft YaHei\", sans-serif;\n            font-size: 1.2em;\n            margin: 20px 0;\n            padding: 15px;\n            background: #ffffff;\n            border-radius: 8px;\n        }\n    <\/style>\n<\/head>\n<body>\n<div class=\"formula\">\n\\[ \\bar{y} = h_x = \\frac{A_1 y_1 + A_2 y_2 + A_3 y_3 + A_4 y_4}{A_1 + A_2 + A_3 + A_4} \\]\n<\/div>\n<\/body>\n<\/html>\n\n\n\n<h2 class=\"wp-block-heading\">S\u1ea3n ph\u1ea9m \u00e1p d\u1ee5ng<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>C\u1ea7u tr\u1ee5c<\/li>\n\n\n\n<li>C\u1ea7n tr\u1ee5c c\u1ee7a gi\u00e0n c\u1ea7n c\u1ea9u<\/li>\n\n\n\n<li>C\u1ea7n tr\u1ee5c gi\u00e0n \u0111\u00f3ng t\u00e0u<\/li>\n\n\n\n<li>C\u1ea7n c\u1ea9u gi\u00e0n g\u1eafn tr\u00ean \u0111\u01b0\u1eddng ray (RMG)<\/li>\n\n\n\n<li>C\u1ea7n c\u1ea9u gi\u00e0n b\u00e1nh l\u1ed1p (RTG)<\/li>\n\n\n\n<li>c\u1ea7n c\u1ea9u luy\u1ec7n kim<\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"Ph\u1ea7n m\u1ec1m t\u00ednh to\u00e1n m\u00f4men qu\u00e1n t\u00ednh ti\u1ebft di\u1ec7n d\u1ea7m ch\u00ednh c\u1ea7n c\u1ea9u gi\u00fap t\u00ednh to\u00e1n \u0111\u1ed9 c\u1ee9ng u\u1ed1n c\u1ee7a d\u1ea7m ch\u00ednh. M\u00f4men qu\u00e1n t\u00ednh ti\u1ebft di\u1ec7n d\u1ea7m ch\u00ednh c\u00e0ng cao th\u00ec \u0111\u1ed9 c\u1ee9ng c\u00e0ng l\u1edbn v\u00e0 \u0111\u1ed9 bi\u1ebfn d\u1ea1ng c\u00e0ng \u00edt. \u0110\u1ed1i v\u1edbi c\u1ea7n c\u1ea9u tr\u00ean cao v\u00e0 c\u1ea7n c\u1ea9u gi\u00e0n, n\u00f3 tr\u1ef1c ti\u1ebfp x\u00e1c \u0111\u1ecbnh kh\u1ea3 n\u0103ng ch\u1ecbu t\u1ea3i v\u00e0 \u0111\u00e1nh gi\u00e1 r\u1ee7i ro bi\u1ebfn d\u1ea1ng d\u1ebbo v\u00e0 g\u00e3y v\u1ee1. Ph\u1ea7n m\u1ec1m n\u00e0y c\u0169ng t\u00ednh to\u00e1n \u0111\u1ed9 v\u00f5ng \u0111\u1ec3 ng\u0103n ng\u1eeba bi\u1ebfn d\u1ea1ng v\u00e0 rung l\u1eafc c\u1ee7a d\u1ea7m trong qu\u00e1 tr\u00ecnh di chuy\u1ec3n v\u00e0 phanh.","protected":false},"author":8,"featured_media":17193,"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-17183","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-online-tools"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.dgcrane.com\/vi\/wp-json\/wp\/v2\/posts\/17183"}],"collection":[{"href":"https:\/\/www.dgcrane.com\/vi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.dgcrane.com\/vi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.dgcrane.com\/vi\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/www.dgcrane.com\/vi\/wp-json\/wp\/v2\/comments?post=17183"}],"version-history":[{"count":15,"href":"https:\/\/www.dgcrane.com\/vi\/wp-json\/wp\/v2\/posts\/17183\/revisions"}],"predecessor-version":[{"id":17200,"href":"https:\/\/www.dgcrane.com\/vi\/wp-json\/wp\/v2\/posts\/17183\/revisions\/17200"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.dgcrane.com\/vi\/wp-json\/wp\/v2\/media\/17193"}],"wp:attachment":[{"href":"https:\/\/www.dgcrane.com\/vi\/wp-json\/wp\/v2\/media?parent=17183"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.dgcrane.com\/vi\/wp-json\/wp\/v2\/categories?post=17183"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dgcrane.com\/vi\/wp-json\/wp\/v2\/tags?post=17183"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}