{"id":17213,"date":"2026-07-07T02:18:44","date_gmt":"2026-07-07T02:18:44","guid":{"rendered":"https:\/\/www.dgcrane.com\/?p=17213"},"modified":"2026-07-07T02:18:48","modified_gmt":"2026-07-07T02:18:48","slug":"overhead-and-gantry-crane-deflection-calculator","status":"publish","type":"post","link":"https:\/\/www.dgcrane.com\/pt\/overhead-and-gantry-crane-deflection-calculator\/","title":{"rendered":"Calculadora de Deflex\u00e3o de Pontes Rolantes e P\u00f3rticos"},"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        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(N)<\/label>\n        <input type=\"number\" id=\"calculator-P\" placeholder=\"Valor de carga de entrada\">\n        <span class=\"error-msg\"><\/span>\n    <\/div>\n    <div class=\"field-wrap\">\n        <label for=\"calculator-L\">Comprimento do v\u00e3o L (m)<\/label>\n        <input type=\"number\" id=\"calculator-L\" placeholder=\"Comprimento do intervalo de entrada\">\n        <span class=\"error-msg\"><\/span>\n    <\/div>\n    <div class=\"field-wrap\">\n        <label for=\"calculator-I\">Momento de in\u00e9rcia I (cm\u2074)<\/label>\n        <input type=\"number\" id=\"calculator-I\" placeholder=\"Valor de in\u00e9rcia de entrada\">\n        <span class=\"error-msg\"><\/span>\n    <\/div>\n\n    <div class=\"btn-group\">\n        <button id=\"calculator-calcBtn\" class=\"calc-btn\">Calcular<\/button>\n        <button id=\"calculator-resetBtn\" class=\"reset-btn\">Reiniciar<\/button>\n    <\/div>\n\n    <div class=\"result-wrap\">\n        <div class=\"result-label\">Desvio (m)<\/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                    \/\/ 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\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            \/\/ 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});\n    <\/script>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\">F\u00f3rmula para Calculadora de Deflex\u00e3o de Pontes Rolantes e P\u00f3rticos<\/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: Deflex\u00e3o m\u00e1xima (unidade: m)<\/li>\n\n\n\n<li>P: Carga por roda (unidade: N)<\/li>\n\n\n\n<li>L: V\u00e3o da viga principal (unidade: m)<\/li>\n\n\n\n<li>E: M\u00f3dulo de elasticidade (unidade: Pa, normalmente considerado como 2,06 \u00d7 10\u00b9\u00b9 Pa)<\/li>\n\n\n\n<li>I: Momento de In\u00e9rcia (unidade: m)<sup>4<\/sup>) <\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Notas<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Nos c\u00e1lculos de acordo com as normas internacionais, a unidade do m\u00f3dulo de elasticidade do a\u00e7o \u00e9 automaticamente convertida para Pa.<\/li>\n\n\n\n<li>Os resultados do c\u00e1lculo de <a href=\"https:\/\/www.dgcrane.com\/pt\/crane-main-girder-section-moment-of-inertia-calculator\/\">Calculadora do Momento de In\u00e9rcia da Se\u00e7\u00e3o da Viga Principal da Ponte Rolante<\/a> est\u00e3o em cm\u2074, mas s\u00e3o convertidas automaticamente para a unidade SI m\u2074 durante o processo de c\u00e1lculo.<\/li>\n\n\n\n<li>Esta calculadora de deflex\u00e3o para pontes rolantes e p\u00f3rticos \u00e9 aplic\u00e1vel principalmente a vigas principais com se\u00e7\u00f5es ocas retangulares.<\/li>\n\n\n\n<li>A carga utilizada nesta calculadora de deflex\u00e3o de pontes rolantes e p\u00f3rticos \u00e9 uma carga concentrada no meio do v\u00e3o (com o carro posicionado no local mais desfavor\u00e1vel).<\/li>\n\n\n\n<li>Calcula-se apenas a deflex\u00e3o est\u00e1tica vertical, n\u00e3o sendo considerado o coeficiente de carga din\u00e2mica.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Guindastes aplic\u00e1veis<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Pontes rolantes (v\u00e3o \u2264 30 m)<\/li>\n\n\n\n<li>Pontes rolantes tipo p\u00f3rtico (v\u00e3o \u2264 30 m e sem balan\u00e7o, ou comprimento do balan\u00e7o \u2264 0,15L)<\/li>\n\n\n\n<li>Pontes rolantes semip\u00f3rtico (v\u00e3o \u2264 30 m e sem balan\u00e7o, ou comprimento do balan\u00e7o \u2264 0,15L)<\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"A calculadora de deflex\u00e3o para pontes rolantes e p\u00f3rticos garante a seguran\u00e7a operacional, reduz a fadiga estrutural e prolonga a vida \u00fatil. Ela calcula com precis\u00e3o a deflex\u00e3o vertical das vigas sob carga, avalia a rigidez da viga e o desempenho estrutural, inserindo a capacidade de eleva\u00e7\u00e3o, o v\u00e3o, o peso do carro e os par\u00e2metros da se\u00e7\u00e3o transversal. Esta calculadora de deflex\u00e3o para pontes rolantes e p\u00f3rticos tamb\u00e9m previne o desgaste dos trilhos, a deforma\u00e7\u00e3o permanente e a opera\u00e7\u00e3o inst\u00e1vel, al\u00e9m de otimizar o projeto estrutural e o peso. Por fim, verifica se os valores de deflex\u00e3o est\u00e3o em conformidade com os limites estabelecidos pelas normas ISO e FEM.","protected":false},"author":8,"featured_media":17216,"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-17213","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-online-tools"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.dgcrane.com\/pt\/wp-json\/wp\/v2\/posts\/17213"}],"collection":[{"href":"https:\/\/www.dgcrane.com\/pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.dgcrane.com\/pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.dgcrane.com\/pt\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/www.dgcrane.com\/pt\/wp-json\/wp\/v2\/comments?post=17213"}],"version-history":[{"count":4,"href":"https:\/\/www.dgcrane.com\/pt\/wp-json\/wp\/v2\/posts\/17213\/revisions"}],"predecessor-version":[{"id":17219,"href":"https:\/\/www.dgcrane.com\/pt\/wp-json\/wp\/v2\/posts\/17213\/revisions\/17219"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.dgcrane.com\/pt\/wp-json\/wp\/v2\/media\/17216"}],"wp:attachment":[{"href":"https:\/\/www.dgcrane.com\/pt\/wp-json\/wp\/v2\/media?parent=17213"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.dgcrane.com\/pt\/wp-json\/wp\/v2\/categories?post=17213"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dgcrane.com\/pt\/wp-json\/wp\/v2\/tags?post=17213"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}