{"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\/bn\/crane-main-girder-section-moment-of-inertia-calculator\/","title":{"rendered":"\u0995\u09cd\u09b0\u09c7\u09a8\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a7\u09be\u09a8 \u0997\u09be\u09b0\u09cd\u09a1\u09be\u09b0 \u09b8\u09c7\u0995\u09b6\u09a8\u09c7\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u0995\u09cd\u09af\u09be\u09b2\u0995\u09c1\u09b2\u09c7\u099f\u09b0"},"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\">\u09e7. \u09ae\u09cd\u09af\u09be\u09a8\u09c1\u09af\u09bc\u09be\u09b2 \u0987\u09a8\u09aa\u09c1\u099f \u09b8\u09c7\u0995\u09b6\u09a8\u09c7\u09b0 \u09ae\u09be\u09a4\u09cd\u09b0\u09be<\/h4>\n    <div class=\"input-grid\">\n        <div class=\"field-wrap\">\n            <label for=\"h\">\u09ac\u09bf\u09ae\u09c7\u09b0 \u0989\u099a\u09cd\u099a\u09a4\u09be h (\u09b8\u09c7\u09ae\u09bf)<\/label>\n            <input type=\"number\" step=\"0.01\" id=\"h\" placeholder=\"\u09af\u09c7\u09ae\u09a8 \u09e7\u09e7\u09e7.\u09ec\">\n            <div class=\"error-msg\" id=\"err-h\">\u0985\u09a8\u09c1\u0997\u09cd\u09b0\u09b9 \u0995\u09b0\u09c7 \u09ac\u09c8\u09a7 \u09a8\u09ae\u09cd\u09ac\u09b0 \u09aa\u09cd\u09b0\u09ac\u09c7\u09b6 \u0995\u09b0\u09be\u09a8\u0964<\/div>\n        <\/div>\n        <div class=\"field-wrap\">\n            <label for=\"B1\">\u0989\u09aa\u09b0\u09c7\u09b0 \u09ab\u09cd\u09b2\u09cd\u09af\u09be\u099e\u09cd\u099c\u09c7\u09b0 \u09aa\u09cd\u09b0\u09b8\u09cd\u09a5 B1 (\u09b8\u09c7\u09ae\u09bf)<\/label>\n            <input type=\"number\" step=\"0.01\" id=\"B1\" placeholder=\"\u09af\u09c7\u09ae\u09a8 \u09eb\u09e6\">\n            <div class=\"error-msg\" id=\"err-B1\">\u0985\u09a8\u09c1\u0997\u09cd\u09b0\u09b9 \u0995\u09b0\u09c7 \u09ac\u09c8\u09a7 \u09a8\u09ae\u09cd\u09ac\u09b0 \u09aa\u09cd\u09b0\u09ac\u09c7\u09b6 \u0995\u09b0\u09be\u09a8\u0964<\/div>\n        <\/div>\n        <div class=\"field-wrap\">\n            <label for=\"B2\">\u09ac\u099f\u09ae \u09ab\u09cd\u09b2\u09cd\u09af\u09be\u099e\u09cd\u099c\u09c7\u09b0 \u09aa\u09cd\u09b0\u09b8\u09cd\u09a5 B2 (\u09b8\u09c7\u09ae\u09bf)<\/label>\n            <input type=\"number\" step=\"0.01\" id=\"B2\" placeholder=\"\u09af\u09c7\u09ae\u09a8 \u09eb\u09e6\">\n            <div class=\"error-msg\" id=\"err-B2\">\u0985\u09a8\u09c1\u0997\u09cd\u09b0\u09b9 \u0995\u09b0\u09c7 \u09ac\u09c8\u09a7 \u09a8\u09ae\u09cd\u09ac\u09b0 \u09aa\u09cd\u09b0\u09ac\u09c7\u09b6 \u0995\u09b0\u09be\u09a8\u0964<\/div>\n        <\/div>\n        <div class=\"field-wrap\">\n            <label for=\"t1\">\u0989\u09aa\u09b0\u09c7\u09b0 \u09ab\u09cd\u09b2\u09cd\u09af\u09be\u099e\u09cd\u099c\u09c7\u09b0 \u09aa\u09c1\u09b0\u09c1\u09a4\u09cd\u09ac t1 (\u09b8\u09c7\u09ae\u09bf)<\/label>\n            <input type=\"number\" step=\"0.01\" id=\"t1\" placeholder=\"\u09af\u09c7\u09ae\u09a8 \u09e6.\u09ee\">\n            <div class=\"error-msg\" id=\"err-t1\">\u0985\u09a8\u09c1\u0997\u09cd\u09b0\u09b9 \u0995\u09b0\u09c7 \u09ac\u09c8\u09a7 \u09a8\u09ae\u09cd\u09ac\u09b0 \u09aa\u09cd\u09b0\u09ac\u09c7\u09b6 \u0995\u09b0\u09be\u09a8\u0964<\/div>\n        <\/div>\n        <div class=\"field-wrap\">\n            <label for=\"t2\">\u09ac\u099f\u09ae \u09ab\u09cd\u09b2\u09cd\u09af\u09be\u099e\u09cd\u099c\u09c7\u09b0 \u09aa\u09c1\u09b0\u09c1\u09a4\u09cd\u09ac t2 (\u09b8\u09c7\u09ae\u09bf)<\/label>\n            <input type=\"number\" step=\"0.01\" id=\"t2\" placeholder=\"\u09af\u09c7\u09ae\u09a8 \u09e6.\u09ee\">\n            <div class=\"error-msg\" id=\"err-t2\">\u0985\u09a8\u09c1\u0997\u09cd\u09b0\u09b9 \u0995\u09b0\u09c7 \u09ac\u09c8\u09a7 \u09a8\u09ae\u09cd\u09ac\u09b0 \u09aa\u09cd\u09b0\u09ac\u09c7\u09b6 \u0995\u09b0\u09be\u09a8\u0964<\/div>\n        <\/div>\n        <div class=\"field-wrap\">\n            <label for=\"delta1\">\u09aa\u09cd\u09b0\u09a7\u09be\u09a8 \u099c\u09be\u09b2\u09c7\u09b0 \u09aa\u09c1\u09b0\u09c1\u09a4\u09cd\u09ac \u03b41 (\u09b8\u09c7\u09ae\u09bf)<\/label>\n            <input type=\"number\" step=\"0.01\" id=\"delta1\" placeholder=\"\u09af\u09c7\u09ae\u09a8 \u09e6.\u09ec\">\n            <div class=\"error-msg\" id=\"err-delta1\">\u0985\u09a8\u09c1\u0997\u09cd\u09b0\u09b9 \u0995\u09b0\u09c7 \u09ac\u09c8\u09a7 \u09a8\u09ae\u09cd\u09ac\u09b0 \u09aa\u09cd\u09b0\u09ac\u09c7\u09b6 \u0995\u09b0\u09be\u09a8\u0964<\/div>\n        <\/div>\n        <div class=\"field-wrap\">\n            <label for=\"delta2\">\u0997\u09cc\u09a3 \u0993\u09af\u09bc\u09c7\u09ac\u09c7\u09b0 \u09aa\u09c1\u09b0\u09c1\u09a4\u09cd\u09ac \u03b42 (\u09b8\u09c7\u09ae\u09bf)<\/label>\n            <input type=\"number\" step=\"0.01\" id=\"delta2\" placeholder=\"\u09af\u09c7\u09ae\u09a8 \u09e6.\u09ec\">\n            <div class=\"error-msg\" id=\"err-delta2\">\u0985\u09a8\u09c1\u0997\u09cd\u09b0\u09b9 \u0995\u09b0\u09c7 \u09ac\u09c8\u09a7 \u09a8\u09ae\u09cd\u09ac\u09b0 \u09aa\u09cd\u09b0\u09ac\u09c7\u09b6 \u0995\u09b0\u09be\u09a8\u0964<\/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\">\u09e8. \u09b8\u09cd\u09ac\u09af\u09bc\u0982\u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09ad\u09be\u09ac\u09c7 \u0997\u09a3\u09a8\u09be\u0995\u09c3\u09a4 \u09ae\u09a7\u09cd\u09af\u09ac\u09b0\u09cd\u09a4\u09c0 \u09aa\u09b0\u09be\u09ae\u09bf\u09a4\u09bf<\/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 (\u09b8\u09c7\u09ae\u09bf\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 (\u09b8\u09c7\u09ae\u09bf\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 (\u09b8\u09c7\u09ae\u09bf\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 (\u09b8\u09c7\u09ae\u09bf\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\">\u09ac\u09c8\u09b6\u09cd\u09ac\u09bf\u0995 \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \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\">\u0997\u09a3\u09a8\u09be \u0995\u09b0\u09c1\u09a8<\/button>\n        <button class=\"reset-btn\" id=\"calc-reset\">\u09b8\u09ac \u09b0\u09bf\u09b8\u09c7\u099f \u0995\u09b0\u09c1\u09a8<\/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\">\u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 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\">\u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0\u09c7\u09b0 \u09a8\u09bf\u09b0\u09cd\u09a6\u09c7\u09b6\u09be\u09ac\u09b2\u09c0<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u098f\u0987 \u0995\u09cd\u09b0\u09c7\u09a8 \u09aa\u09cd\u09b0\u09a7\u09be\u09a8 \u0997\u09be\u09b0\u09cd\u09a1\u09be\u09b0 \u09b8\u09c7\u0995\u09b6\u09a8\u09c7\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u0995\u09cd\u09af\u09be\u09b2\u0995\u09c1\u09b2\u09c7\u099f\u09b0\u09c7\u09b0 \u09aa\u09cd\u09af\u09be\u09b0\u09be\u09ae\u09bf\u099f\u09be\u09b0\u0997\u09c1\u09b2\u09cb <br>\u09aa\u09cd\u09b0\u09a7\u09be\u09a8\u09a4 \u0986\u09af\u09bc\u09a4\u09be\u0995\u09be\u09b0 \u09ab\u09be\u0981\u09aa\u09be \u0985\u0982\u09b6\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09aa\u09cd\u09b0\u09af\u09cb\u099c\u09cd\u09af\u0964<\/li>\n\n\n\n<li>\u0986\u09ae\u09bf<sub>x<\/sub> \u0995\u09cd\u09b0\u09c7\u09a8\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a7\u09be\u09a8 \u0985\u0982\u09b6\u09c7\u09b0 \u0989\u09b2\u09cd\u09b2\u09ae\u09cd\u09ac \u09b2\u09cb\u09a1\u09bf\u0982 \u098f\u09ac\u0982 \u0989\u09b2\u09cd\u09b2\u09ae\u09cd\u09ac \u09a8\u09ae\u09a8 \u098f\u09b0 \u09b8\u09be\u09a5\u09c7 \u09b8\u0999\u09cd\u0997\u09a4\u09bf\u09aa\u09c2\u09b0\u09cd\u09a3 <br>\u0997\u09be\u09b0\u09cd\u09a1\u09be\u09b0; \u098f\u0987 \u09ae\u09be\u09a8\u099f\u09bf \u09b8\u09b0\u09be\u09b8\u09b0\u09bf \u09aa\u09cd\u09b0\u09a7\u09be\u09a8\u09c7\u09b0 \u0997\u09a3\u09a8\u09be\u09af\u09bc \u09aa\u09cd\u09b0\u09a4\u09bf\u09b8\u09cd\u09a5\u09be\u09aa\u09a8 \u0995\u09b0\u09be \u09af\u09c7\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7\u0964 <br>\u0997\u09be\u09b0\u09cd\u09a1\u09be\u09b0\u09c7\u09b0 \u09ac\u09bf\u099a\u09cd\u09af\u09c1\u09a4\u09bf\u0964<\/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\">\u0995\u09cd\u09b0\u09c7\u09a8\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a7\u09be\u09a8 \u0997\u09be\u09b0\u09cd\u09a1\u09be\u09b0 \u09b8\u09c7\u0995\u09b6\u09a8\u09c7\u09b0 \u099c\u09a1\u09bc\u09a4\u09be\u09b0 \u09ad\u09cd\u09b0\u09be\u09ae\u0995 \u0995\u09cd\u09af\u09be\u09b2\u0995\u09c1\u09b2\u09c7\u099f\u09b0\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0<\/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: \u0989\u09aa\u09b0\u09c7\u09b0 \u09ab\u09cd\u09b2\u09cd\u09af\u09be\u099e\u09cd\u099c\u09c7\u09b0 \u09aa\u09cd\u09b0\u09b8\u09cd\u09a5 (\u098f\u0995\u0995: \u09b8\u09c7\u09ae\u09bf)<\/li>\n\n\n\n<li>B2: \u09a8\u09bf\u099a\u09c7\u09b0 \u09ab\u09cd\u09b2\u09cd\u09af\u09be\u099e\u09cd\u099c\u09c7\u09b0 \u09aa\u09cd\u09b0\u09b8\u09cd\u09a5 (\u098f\u0995\u0995: \u09b8\u09c7\u09ae\u09bf)<\/li>\n\n\n\n<li>t1: \u0989\u09aa\u09b0\u09c7\u09b0 \u09ab\u09cd\u09b2\u09cd\u09af\u09be\u099e\u09cd\u099c\u09c7\u09b0 \u09aa\u09c1\u09b0\u09c1\u09a4\u09cd\u09ac (\u098f\u0995\u0995: \u09b8\u09c7\u09ae\u09bf)<\/li>\n\n\n\n<li>t2: \u09a8\u09bf\u099a\u09c7\u09b0 \u09ab\u09cd\u09b2\u09cd\u09af\u09be\u099e\u09cd\u099c\u09c7\u09b0 \u09aa\u09c1\u09b0\u09c1\u09a4\u09cd\u09ac (\u098f\u0995\u0995: \u09b8\u09c7\u09ae\u09bf)<\/li>\n\n\n\n<li>A1: \u0989\u09aa\u09b0\u09c7\u09b0 \u09ab\u09cd\u09b2\u09cd\u09af\u09be\u099e\u09cd\u099c\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 (\u098f\u0995\u0995: \u09b8\u09c7\u09ae\u09bf)<sup>2<\/sup>)<\/li>\n\n\n\n<li>A2: \u09a8\u09bf\u099a\u09c7\u09b0 \u09ab\u09cd\u09b2\u09cd\u09af\u09be\u099e\u09cd\u099c\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 (\u098f\u0995\u0995: \u09b8\u09c7\u09ae\u09bf)<sup>2<\/sup>)<\/li>\n\n\n\n<li>A3: \u09ae\u09c2\u09b2 \u0993\u09af\u09bc\u09c7\u09ac \u098f\u09b2\u09be\u0995\u09be (\u098f\u0995\u0995: \u09b8\u09c7\u09ae\u09bf)<sup>2<\/sup>)<\/li>\n\n\n\n<li>A4: \u0989\u09aa-\u0993\u09af\u09bc\u09c7\u09ac \u098f\u09b2\u09be\u0995\u09be (\u098f\u0995\u0995: \u09b8\u09c7\u09ae\u09bf)<sup>2<\/sup>)<\/li>\n\n\n\n<li>d1: \u0989\u09aa\u09b0\u09c7\u09b0 \u09ab\u09cd\u09b2\u09cd\u09af\u09be\u099e\u09cd\u099c \u09a5\u09c7\u0995\u09c7 \u09b8\u09c7\u0995\u09b6\u09a8 \u09b8\u09c7\u09a8\u09cd\u099f\u09cd\u09b0\u09af\u09bc\u09c7\u09a1 \u09aa\u09b0\u09cd\u09af\u09a8\u09cd\u09a4 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac<\/li>\n\n\n\n<li>d2: \u09a8\u09bf\u09ae\u09cd\u09a8 \u09ab\u09cd\u09b2\u09cd\u09af\u09be\u099e\u09cd\u099c \u09a5\u09c7\u0995\u09c7 \u09b8\u09c7\u0995\u09b6\u09a8 \u09b8\u09c7\u09a8\u09cd\u099f\u09cd\u09b0\u09af\u09bc\u09c7\u09a1 \u09aa\u09b0\u09cd\u09af\u09a8\u09cd\u09a4 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac<\/li>\n\n\n\n<li>d3: \u09ae\u09c2\u09b2 \u0993\u09af\u09bc\u09c7\u09ac \u09a5\u09c7\u0995\u09c7 \u09b8\u09c7\u0995\u09b6\u09a8 \u09b8\u09c7\u09a8\u09cd\u099f\u09cd\u09b0\u09af\u09bc\u09c7\u09a1\u09c7\u09b0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac<\/li>\n\n\n\n<li>d4: \u09b8\u09c7\u0995\u09b6\u09a8 \u09b8\u09c7\u09a8\u09cd\u099f\u09cd\u09b0\u09af\u09bc\u09c7\u09a1\u09c7\u09b0 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac \u09aa\u09b0\u09cd\u09af\u09a8\u09cd\u09a4 \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1\u09be\u09b0\u09bf \u0993\u09af\u09bc\u09c7\u09ac<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u09aa\u09cd\u09b2\u09c7\u099f \u09a5\u09c7\u0995\u09c7 \u09b8\u09c7\u0995\u09b6\u09a8 \u09b8\u09c7\u09a8\u09cd\u099f\u09cd\u09b0\u09af\u09bc\u09c7\u09a1 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac<\/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: \u09aa\u09cd\u09b0\u09b8\u09cd\u09a5\u099a\u09cd\u099b\u09c7\u09a6\u09c7 \u09aa\u09cd\u09b0\u09a4\u09bf\u099f\u09bf \u09aa\u09be\u09a4\u09c7\u09b0 \u09ad\u09b0\u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0\u09c7\u09b0 Y-\u09b8\u09cd\u09a5\u09be\u09a8\u09be\u0999\u09cd\u0995<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u09ac\u09bf\u09ad\u09be\u0997 \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1<\/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\">\u09aa\u09cd\u09b0\u09af\u09cb\u099c\u09cd\u09af \u09aa\u09a3\u09cd\u09af<\/h2>\n\n\n\n<ul 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