{"id":17213,"date":"2026-07-07T02:18:44","date_gmt":"2026-07-07T02:18:44","guid":{"rendered":"https:\/\/www.dgcrane.com\/?p=17213"},"modified":"2026-07-14T08:59:43","modified_gmt":"2026-07-14T08:59:43","slug":"overhead-and-gantry-crane-deflection-calculator","status":"publish","type":"post","link":"https:\/\/www.dgcrane.com\/be\/overhead-and-gantry-crane-deflection-calculator\/","title":{"rendered":"\u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u0430\u0440 \u043f\u0440\u0430\u0433\u0456\u043d\u0443 \u043c\u0430\u0441\u0442\u0430\u0432\u044b\u0445 \u0456 \u043f\u0430\u0440\u0442\u0430\u043b\u044c\u043d\u044b\u0445 \u043a\u0440\u0430\u043d\u0430\u045e"},"content":{"rendered":"<!-- WordPress \u53ef\u76f4\u63a5\u7c98\u8d34\u5b8c\u6574\u4ee3\u7801\u5757 -->\n<div id=\"calculator\">\n    <style>\n        \/* \u4ec5\u4f5c\u7528\u4e8e #calculator \u5185\u90e8\uff0c\u65e0\u5168\u5c40\u6837\u5f0f\u6c61\u67d3 *\/\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: 545px;\n            padding: 30px;\n            background-color: var(--bg-color);\n            color: var(--text-color);\n            box-sizing: border-box;\n        }\n        #calculator .calc-title {\n            font-size: 18px;\n            margin: 0 0 24px 0;\n            font-weight: 600;\n        }\n        #calculator .field-wrap {\n            margin-bottom: 18px;\n        }\n        #calculator label {\n            display: block;\n            font-size: 14px;\n            margin-bottom: 6px;\n        }\n        #calculator input {\n            width: 100%;\n            box-sizing: border-box;\n            height: 36px;\n            font-size: 16px;\n            border: 1px solid #ccc;\n            border-radius: 0;\n            padding: 0 10px;\n            transition: 0.2s ease;\n        }\n        #calculator input:focus {\n            border: 2px solid var(--primary-color);\n            outline: none;\n        }\n        #calculator input.error {\n            border: 2px solid var(--error-color);\n        }\n        #calculator .error-msg {\n            display: none;\n            font-size: 12px;\n            color: var(--error-color);\n            margin-top: 4px;\n        }\n        #calculator .btn-group {\n            display: flex;\n            gap: 12px;\n            margin: 24px 0;\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-color: var(--primary-color);\n            color: #fff;\n        }\n        #calculator .calc-btn:hover {\n            background-color: var(--primary-hover);\n        }\n        #calculator .reset-btn {\n            background-color: #999;\n            color: #fff;\n        }\n        #calculator .result-wrap {\n            margin-top: 16px;\n        }\n        #calculator .result-label {\n            font-size: 14px;\n        }\n        #calculator .result-value {\n            font-size: 40px;\n            font-weight: bold;\n            margin-top: 4px;\n            word-break: break-all;\n        }\n        \/* \u79fb\u52a8\u7aef\u9002\u914d max-width:768px *\/\n        @media (max-width: 768px) {\n            #calculator input,\n            #calculator button {\n                height: 0.7rem;\n            }\n            #calculator label,\n            #calculator button,\n            #calculator .result-label {\n                font-size: 0.28rem;\n            }\n            #calculator .btn-group {\n                flex-direction: column;\n            }\n            #calculator button {\n                width: 100%;\n            }\n            #calculator .result-value {\n                font-size: 0.8rem;\n            }\n        }\n    <\/style>\n\n    <div class=\"field-wrap\">\n        <label for=\"calculator-P\">\u041a\u0430\u043d\u0446\u044d\u043d\u0442\u0440\u0430\u0432\u0430\u043d\u0430\u044f \u043d\u0430\u0433\u0440\u0443\u0437\u043a\u0430 P (\u041d)<\/label>\n        <input type=\"number\" id=\"calculator-P\" placeholder=\"\u0423\u0432\u0430\u0445\u043e\u0434\u043d\u0430\u0435 \u0437\u043d\u0430\u0447\u044d\u043d\u043d\u0435 \u043d\u0430\u0433\u0440\u0443\u0437\u043a\u0456\">\n        <span class=\"error-msg\"><\/span>\n    <\/div>\n    <div class=\"field-wrap\">\n        <label for=\"calculator-L\">\u0414\u0430\u045e\u0436\u044b\u043d\u044f \u043f\u0440\u0430\u043b\u0451\u0442\u0430 L (\u043c)<\/label>\n        <input type=\"number\" id=\"calculator-L\" placeholder=\"\u0423\u0432\u043e\u0434\u043d\u0430\u044f \u0434\u0430\u045e\u0436\u044b\u043d\u044f \u043f\u0440\u0430\u043c\u0435\u0436\u043a\u0443\">\n        <span class=\"error-msg\"><\/span>\n    <\/div>\n    <div class=\"field-wrap\">\n        <label for=\"calculator-I\">\u041c\u043e\u043c\u0430\u043d\u0442 \u0456\u043d\u044d\u0440\u0446\u044b\u0456 I (\u0441\u043c\u2074)<\/label>\n        <input type=\"number\" id=\"calculator-I\" placeholder=\"\u0423\u0432\u043e\u0434\u043d\u0430\u0435 \u0437\u043d\u0430\u0447\u044d\u043d\u043d\u0435 \u0456\u043d\u044d\u0440\u0446\u044b\u0456\">\n        <span class=\"error-msg\"><\/span>\n    <\/div>\n\n    <div class=\"btn-group\">\n        <button id=\"calculator-calcBtn\" class=\"calc-btn\">\u0420\u0430\u0437\u043b\u0456\u0447\u044b\u0446\u044c<\/button>\n        <button id=\"calculator-resetBtn\" class=\"reset-btn\">\u0421\u043a\u0456\u043d\u0443\u0446\u044c<\/button>\n    <\/div>\n\n    <div class=\"result-wrap\">\n        <div class=\"result-label\">\u041f\u0440\u0430\u0433\u0456\u043d (\u043c)<\/div>\n        <div id=\"calculator-result\" class=\"result-value\">&#8212;<\/div>\n    <\/div>\n\n    <script>\n        (function() {\n            const fieldIds = ['P', 'L', 'I'];\n            const inputEls = {};\n            const errorMsgEls = {};\n            const resultEl = document.getElementById('calculator-result');\n            const calcBtn = document.getElementById('calculator-calcBtn');\n            const resetBtn = document.getElementById('calculator-resetBtn');\n            \/\/ \u94a2\u6750\u6807\u51c6\u5f39\u6027\u6a21\u91cf\u56fa\u5b9a\u503c 2.06\u00d710\u00b9\u00b9 Pa\n            const STEEL_E = 2.06e11;\n\n            \/\/ \u521d\u59cb\u5316DOM\u6620\u5c04\n            function initDomRefs() {\n                fieldIds.forEach(key => {\n                    inputEls[key] = document.getElementById(`calculator-${key}`);\n                    errorMsgEls[key] = inputEls[key].nextElementSibling;\n                    \/\/ \u8f93\u5165\u65f6\u6e05\u9664\u9519\u8bef\n                    inputEls[key].addEventListener('input', () => clearError(inputEls[key], errorMsgEls[key]));\n                });\n            }\n\n            \/\/ \u8bbe\u7f6e\u9519\u8bef\u63d0\u793a\n            function setError(inputEl, msgEl, message) {\n                inputEl.classList.add('error');\n                msgEl.textContent = message;\n                msgEl.style.display = 'block';\n            }\n\n            \/\/ \u6e05\u9664\u9519\u8bef\u63d0\u793a\n            function clearError(inputEl, msgEl) {\n                inputEl.classList.remove('error');\n                msgEl.textContent = '';\n                msgEl.style.display = 'none';\n            }\n\n            \/\/ \u6821\u9a8c\u5355\u4e2a\u8f93\u5165\n            function validateInput(inputEl, msgEl, fieldName) {\n                const val = parseFloat(inputEl.value.trim());\n                if(inputEl.value.trim() === '') {\n                    setError(inputEl, msgEl, `${fieldName} field cannot be empty`);\n                    return false;\n                }\n                if(isNaN(val) || val <= 0) {\n                    setError(inputEl, msgEl, `${fieldName} must be positive number`);\n                    return false;\n                }\n                clearError(inputEl, msgEl);\n                return true;\n            }\n\n            \/\/ \u6279\u91cf\u6821\u9a8c\u5168\u90e8\u5b57\u6bb5\n            function validateAllFields() {\n                let isValid = true;\n                const fieldNames = {\n                    P: 'Load P',\n                    L: 'Span L',\n                    I: 'Inertia I'\n                };\n                fieldIds.forEach(key => {\n                    const pass = validateInput(inputEls[key], errorMsgEls[key], fieldNames[key]);\n                    if(!pass) isValid = false;\n                });\n                return isValid;\n            }\n\n            \/\/ \u6838\u5fc3\u8ba1\u7b97\u903b\u8f91\n            \/\/ I\u8f93\u5165cm\u2074\uff0c\u8f6c\u6362 m\u2074\uff1a1 cm\u2074 = 1e-8 m\u2074\n            \/\/ f = (P * L^3) \/ (48 * E * I_m4)\n            function runCalculation() {\n                if(!validateAllFields()) {\n                    resultEl.textContent = '--';\n                    return;\n                }\n                const P = parseFloat(inputEls.P.value);\n                const L = parseFloat(inputEls.L.value);\n                const I_cm4 = parseFloat(inputEls.I.value);\n                \/\/ cm\u2074 \u8f6c m\u2074\n                const I_m4 = I_cm4 * Math.pow(10, -8);\n\n                const numerator = P * Math.pow(L, 3);\n                const denominator = 48 * STEEL_E * I_m4;\n                const deflection = numerator \/ denominator;\n                \/\/ \u7ed3\u679c\u4fdd\u75592\u4f4d\u5c0f\u6570\n                resultEl.textContent = deflection.toFixed(2);\n            }\n\n            \/\/ \u91cd\u7f6e\u5168\u90e8\n            function resetAll() {\n                fieldIds.forEach(key => {\n                    inputEls[key].value = '';\n                    clearError(inputEls[key], errorMsgEls[key]);\n                });\n                resultEl.textContent = '--';\n            }\n\n            \/\/ \u7ed1\u5b9a\u4e8b\u4ef6\n            function bindEvents() {\n                calcBtn.addEventListener('click', runCalculation);\n                resetBtn.addEventListener('click', resetAll);\n            }\n\n            \/\/ \u521d\u59cb\u5316\u5165\u53e3\n            function init() {\n                initDomRefs();\n                bindEvents();\n            }\n\n            window.BeamDeflectionCalc = {\n                init: init\n            };\n        })();\n\n        \/\/ \u9875\u9762\u52a0\u8f7d\u5b8c\u6210\u521d\u59cb\u5316\u8ba1\u7b97\u5668\n        document.addEventListener('DOMContentLoaded', function() {\n            BeamDeflectionCalc.init();\n        });\n    <\/script>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\">\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0430\u0437\u043b\u0456\u043a\u0443 \u043f\u0440\u0430\u0433\u0456\u043d\u0443 \u043c\u0430\u0441\u0442\u0430\u0432\u044b\u0445 \u0456 \u043f\u0430\u0440\u0442\u0430\u043b\u044c\u043d\u044b\u0445 \u043a\u0440\u0430\u043d\u0430\u045e<\/h2>\n\n\n\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        text-align: left;\n    }\n    .math-frac {\n        display: inline-block;\n        vertical-align: middle;\n        text-align: center;\n        margin: 0 6px;\n    }\n    .frac-numerator {\n        display: block;\n        padding: 0 10px;\n        border-bottom: 2px solid #222;\n    }\n    .frac-denominator {\n        display: block;\n        padding: 0 10px;\n    }\n    .sup-pow {\n        font-size: 0.6em;\n        line-height: 0;\n        position: relative;\n        top: -0.6em;\n    }\n<\/style>\n<div class=\"formula\">\n    f = <span class=\"math-frac\">\n        <span class=\"frac-numerator\">PL<span class=\"sup-pow\">3<\/span><\/span>\n        <span class=\"frac-denominator\">48EI<\/span>\n    <\/span>\n<\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>f: \u041c\u0430\u043a\u0441\u0456\u043c\u0430\u043b\u044c\u043d\u044b \u043f\u0440\u0430\u0433\u0456\u043d (\u0430\u0434\u0437\u0456\u043d\u043a\u0430 \u0432\u044b\u043c\u044f\u0440\u044d\u043d\u043d\u044f: \u043c)<\/li>\n\n\n\n<li>P: \u041d\u0430\u0433\u0440\u0443\u0437\u043a\u0430 \u043d\u0430 \u043a\u043e\u043b\u0430 (\u0430\u0434\u0437\u0456\u043d\u043a\u0430 \u0432\u044b\u043c\u044f\u0440\u044d\u043d\u043d\u044f: \u041d)<\/li>\n\n\n\n<li>L: \u041f\u0440\u0430\u043b\u0451\u0442 \u0433\u0430\u043b\u043e\u045e\u043d\u0430\u0439 \u0431\u044d\u043b\u044c\u043a\u0456 (\u0430\u0434\u0437\u0456\u043d\u043a\u0430 \u0432\u044b\u043c\u044f\u0440\u044d\u043d\u043d\u044f: \u043c)<\/li>\n\n\n\n<li>E: \u041c\u043e\u0434\u0443\u043b\u044c \u043f\u0440\u0443\u0433\u043a\u0430\u0441\u0446\u0456 (\u0430\u0434\u0437\u0456\u043d\u043a\u0430 \u0432\u044b\u043c\u044f\u0440\u044d\u043d\u043d\u044f: \u041f\u0430, \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>I: \u041c\u043e\u043c\u0430\u043d\u0442 \u0456\u043d\u044d\u0440\u0446\u044b\u0456 (\u0430\u0434\u0437\u0456\u043d\u043a\u0430 \u0432\u044b\u043c\u044f\u0440\u044d\u043d\u043d\u044f: \u043c<sup>4<\/sup>) <\/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>\u0423 \u043c\u0456\u0436\u043d\u0430\u0440\u043e\u0434\u043d\u044b\u0445 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u044b\u0445 \u0440\u0430\u0437\u043b\u0456\u043a\u0430\u0445 \u0430\u0434\u0437\u0456\u043d\u043a\u0430 \u0432\u044b\u043c\u044f\u0440\u044d\u043d\u043d\u044f \u043c\u043e\u0434\u0443\u043b\u044f \u043f\u0440\u0443\u0433\u043a\u0430\u0441\u0446\u0456 \u0441\u0442\u0430\u043b\u0456 \u0430\u045e\u0442\u0430\u043c\u0430\u0442\u044b\u0447\u043d\u0430 \u043f\u0435\u0440\u0430\u045e\u0442\u0432\u0430\u0440\u0430\u0435\u0446\u0446\u0430 \u045e \u041f\u0430.<\/li>\n\n\n\n<li>\u0412\u044b\u043d\u0456\u043a\u0456 \u0440\u0430\u0437\u043b\u0456\u043a\u0443 \u0437 <a href=\"https:\/\/www.dgcrane.com\/be\/crane-main-girder-section-moment-of-inertia-calculator\/\">\u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u0430\u0440 \u043c\u043e\u043c\u0430\u043d\u0442\u0443 \u0456\u043d\u044d\u0440\u0446\u044b\u0456 \u0433\u0430\u043b\u043e\u045e\u043d\u0430\u0439 \u0431\u044d\u043b\u044c\u043a\u0456 \u043a\u0440\u0430\u043d\u0430<\/a> \u043f\u0430\u043a\u0430\u0437\u0432\u0430\u044e\u0446\u0446\u0430 \u045e \u0441\u043c\u2074, \u0430\u043b\u0435 \u043f\u0430\u0434\u0447\u0430\u0441 \u0440\u0430\u0437\u043b\u0456\u043a\u0443 \u0430\u045e\u0442\u0430\u043c\u0430\u0442\u044b\u0447\u043d\u0430 \u043f\u0435\u0440\u0430\u045e\u0442\u0432\u0430\u0440\u0430\u044e\u0446\u0446\u0430 \u045e \u0430\u0434\u0437\u0456\u043d\u043a\u0443 \u0421\u0406 \u043c\u2074.<\/li>\n\n\n\n<li>\u0413\u044d\u0442\u044b \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u0430\u0440 \u043f\u0440\u0430\u0433\u0456\u043d\u0443 \u043f\u0430\u0440\u0442\u0430\u043b\u044c\u043d\u044b\u0445 \u0456 \u043c\u0430\u0441\u0442\u0430\u0432\u044b\u0445 \u043a\u0440\u0430\u043d\u0430\u045e \u0443 \u043f\u0435\u0440\u0448\u0443\u044e \u0447\u0430\u0440\u0433\u0443 \u043f\u0440\u044b\u043c\u044f\u043d\u044f\u0435\u0446\u0446\u0430 \u0434\u0430 \u0430\u0441\u043d\u043e\u045e\u043d\u044b\u0445 \u0431\u044d\u043b\u0435\u043a \u0437 \u043f\u0440\u0430\u0441\u0442\u0430\u043a\u0443\u0442\u043d\u044b\u043c\u0456 \u043f\u043e\u043b\u044b\u043c\u0456 \u043f\u0435\u0440\u0430\u0441\u0435\u043a\u0430\u043c\u0456.<\/li>\n\n\n\n<li>\u041d\u0430\u0433\u0440\u0443\u0437\u043a\u0430, \u044f\u043a\u0430\u044f \u0432\u044b\u043a\u0430\u0440\u044b\u0441\u0442\u043e\u045e\u0432\u0430\u0435\u0446\u0446\u0430 \u045e \u0433\u044d\u0442\u044b\u043c \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u0430\u0440\u044b \u043f\u0440\u0430\u0433\u0456\u043d\u0443 \u043c\u0430\u0441\u0442\u0430\u0432\u044b\u0445 \u0456 \u043f\u0430\u0440\u0442\u0430\u043b\u044c\u043d\u044b\u0445 \u043a\u0440\u0430\u043d\u0430\u045e, \u0437&#39;\u044f\u045e\u043b\u044f\u0435\u0446\u0446\u0430 \u0441\u043a\u0430\u043d\u0446\u044d\u043d\u0442\u0440\u0430\u0432\u0430\u043d\u0430\u0439 \u043d\u0430\u0433\u0440\u0443\u0437\u043a\u0430\u0439 \u0443 \u0441\u044f\u0440\u044d\u0434\u0437\u0456\u043d\u0435 \u043f\u0440\u0430\u043b\u0451\u0442\u0430 (\u043f\u0440\u044b \u0440\u0430\u0437\u043c\u044f\u0448\u0447\u044d\u043d\u043d\u0456 \u043a\u0430\u043b\u044f\u0441\u043a\u0456 \u045e \u0441\u0430\u043c\u044b\u043c \u043d\u0435\u0441\u043f\u0440\u044b\u044f\u043b\u044c\u043d\u044b\u043c \u043c\u0435\u0441\u0446\u044b).<\/li>\n\n\n\n<li>\u0420\u0430\u0437\u043b\u0456\u0447\u0432\u0430\u0435\u0446\u0446\u0430 \u0442\u043e\u043b\u044c\u043a\u0456 \u0432\u0435\u0440\u0442\u044b\u043a\u0430\u043b\u044c\u043d\u0430\u0435 \u0441\u0442\u0430\u0442\u044b\u0447\u043d\u0430\u0435 \u043f\u0440\u0430\u0433\u0456\u043d\u0430\u043d\u043d\u0435, \u0430 \u043a\u0430\u044d\u0444\u0456\u0446\u044b\u0435\u043d\u0442 \u0434\u044b\u043d\u0430\u043c\u0456\u0447\u043d\u0430\u0439 \u043d\u0430\u0433\u0440\u0443\u0437\u043a\u0456 \u043d\u0435 \u045e\u043b\u0456\u0447\u0432\u0430\u0435\u0446\u0446\u0430.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u041f\u0440\u044b\u0434\u0430\u0442\u043d\u044b\u044f \u043a\u0440\u0430\u043d\u044b<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u041c\u0430\u0441\u0442\u0430\u0432\u044b\u044f \u043a\u0440\u0430\u043d\u044b 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