Dynamische Kranlastberechnung | P_d = \u03c6\u00b7(Q+Q_h+G_t)<\/title>\n <style>\n \/* all styles are strictly scoped inside #calculator *\/\n #calculator {\n --primary-color: #0a3487;\n --primary-hover: #F58423;\n --error-color: #e53935;\n --bg-color: #EAEEF7;\n --text-color: #4a4a4a;\n \n display: block;\n width: 100%;\n background: var(--bg-color);\n font-family: 'Segoe UI', Roboto, 'Helvetica Neue', sans-serif;\n color: var(--text-color);\n }\n \n \/* container for PC max-width & padding *\/\n #calculator .calculator-container {\n max-width: 545px;\n padding: 30px;\n margin: 0 auto;\n background: var(--bg-color);\n box-sizing: border-box;\n }\n \n \/* typography *\/\n #calculator .calculator-title {\n font-size: 24px;\n font-weight: 600;\n margin: 0 0 4px 0;\n color: var(--primary-color);\n letter-spacing: -0.2px;\n }\n \n #calculator .calculator-subtitle {\n font-size: 14px;\n margin: 0 0 24px 0;\n font-family: monospace;\n background: rgba(10,52,135,0.08);\n display: inline-block;\n padding: 4px 12px;\n border-radius: 0;\n color: var(--primary-color);\n }\n \n \/* input groups *\/\n #calculator .input-group {\n margin-bottom: 20px;\n width: 100%;\n position: relative;\n }\n \n #calculator label {\n display: block;\n font-size: 14px;\n font-weight: 500;\n margin-bottom: 6px;\n color: var(--text-color);\n }\n \n #calculator .var-symbol {\n font-family: monospace;\n font-weight: 700;\n background: rgba(0,0,0,0.04);\n padding: 0px 4px;\n border-radius: 0;\n margin-left: 4px;\n }\n \n \/* wrapper for input + inline unit (unit placed inside input field on the right) *\/\n #calculator .input-unit-wrapper {\n position: relative;\n width: 100%;\n }\n \n #calculator .input-unit-wrapper .calculator-input {\n width: 100%;\n padding-right: 104px;\n }\n \n #calculator .inline-unit {\n position: absolute;\n right: 1px;\n top: 1px;\n bottom: 1px;\n display: flex;\n align-items: center;\n justify-content: center;\n font-size: 14px;\n font-weight: 500;\n color: #aaaaaa;\n background: transparent;\n padding: 0 8px;\n height: auto;\n line-height: 1;\n white-space: nowrap;\n font-family: monospace;\n pointer-events: none;\n box-sizing: border-box;\n }\n \n \/* select styling \u2014 no unit after select *\/\n #calculator .calculator-input,\n #calculator .calculator-select {\n width: 100%;\n height: 36px;\n padding: 0 12px;\n font-size: 16px;\n border: 1px solid #ccc;\n border-radius: 0;\n background: white;\n font-family: 'Segoe UI', 'SF Mono', monospace;\n color: #333;\n transition: all 0.2s ease;\n box-sizing: border-box;\n }\n \n #calculator .calculator-select {\n cursor: pointer;\n appearance: none;\n background-image: url('data:image\/svg+xml;utf8,<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"%234a4a4a\" stroke-width=\"2\" stroke-linecap=\"round\" stroke-linejoin=\"round\"><polyline points=\"6 9 12 15 18 9\"><\/polyline><\/svg>');\n background-repeat: no-repeat;\n background-position: right 12px center;\n background-size: 14px;\n }\n \n \/* ensure dropdown options have consistent font and spacing *\/\n #calculator .calculator-select option {\n font-size: 14px;\n padding: 8px;\n font-family: 'Segoe UI', 'SF Mono', monospace;\n line-height: 1.4;\n color: #333;\n }\n \n #calculator .calculator-input:focus,\n #calculator .calculator-select:focus {\n outline: none;\n border: 2px solid var(--primary-color);\n padding: 0 11px;\n height: 36px;\n }\n \n #calculator .input-unit-wrapper .calculator-input:focus {\n padding-right: 103px;\n }\n \n \/* error state: border 2px solid error-color *\/\n #calculator .calculator-input.error-input,\n #calculator .calculator-select.error-input {\n border: 2px solid var(--error-color);\n padding: 0 11px;\n height: 36px;\n }\n \n #calculator .input-unit-wrapper .calculator-input.error-input {\n padding-right: 103px;\n }\n \n \/* error message styling *\/\n #calculator .error-msg {\n font-size: 12px;\n color: var(--error-color);\n margin-top: 5px;\n display: none;\n line-height: 1.2;\n }\n \n #calculator .error-msg.visible {\n display: block;\n }\n \n \/* result area *\/\n #calculator .result-area {\n background: white;\n margin: 20px 0 24px 0;\n padding: 18px 16px;\n text-align: center;\n border-left: 4px solid var(--primary-color);\n box-shadow: 0 1px 3px rgba(0,0,0,0.05);\n }\n \n #calculator .result-label {\n font-size: 14px;\n font-weight: 500;\n text-transform: uppercase;\n letter-spacing: 1px;\n color: var(--text-color);\n margin-bottom: 8px;\n }\n \n #calculator .result-value {\n font-size: 40px;\n font-weight: 800;\n font-family: 'Segoe UI', Roboto, 'Helvetica Neue', Arial, sans-serif;\n color: var(--primary-color);\n line-height: 1.1;\n word-break: break-word;\n }\n \n #calculator .calculation-detail {\n font-size: 12px;\n font-family: monospace;\n color: #6b7280;\n margin-top: 8px;\n border-top: 1px solid #ececec;\n padding-top: 6px;\n }\n \n \/* button group: horizontal flex on PC *\/\n #calculator .button-group {\n display: flex;\n flex-direction: row;\n gap: 16px;\n margin-top: 8px;\n }\n \n #calculator button {\n flex: 1;\n height: 36px;\n font-size: 14px;\n font-weight: 600;\n border: none;\n border-radius: 0;\n cursor: pointer;\n transition: all 0.2s ease;\n font-family: inherit;\n }\n \n #calculator .btn-primary {\n background: var(--primary-color);\n color: white;\n }\n \n #calculator .btn-primary:hover {\n background: var(--primary-hover);\n }\n \n #calculator .btn-secondary {\n background: #6c757d;\n color: white;\n }\n \n #calculator .btn-secondary:hover {\n background: #5a6268;\n }\n \n \/* mobile responsiveness (rem based, following spec) *\/\n @media (max-width: 768px) {\n #calculator .calculator-container {\n padding: 20px;\n max-width: 100%;\n }\n #calculator .calculator-input,\n #calculator .calculator-select,\n #calculator button,\n #calculator .inline-unit {\n height: 0.7rem;\n font-size: 0.28rem;\n line-height: 0.7rem;\n }\n #calculator .calculator-input,\n #calculator .calculator-select {\n height: 0.7rem;\n padding: 0 0.2rem;\n font-size: 0.28rem;\n }\n #calculator .input-unit-wrapper .calculator-input {\n padding-right: 1.8rem;\n }\n #calculator .calculator-input:focus,\n #calculator .calculator-select:focus {\n padding: 0 0.18rem;\n height: 0.7rem;\n }\n #calculator .input-unit-wrapper .calculator-input:focus {\n padding-right: 1.78rem;\n }\n #calculator .calculator-input.error-input,\n #calculator .calculator-select.error-input {\n padding: 0 0.18rem;\n height: 0.7rem;\n }\n #calculator .input-unit-wrapper .calculator-input.error-input {\n padding-right: 1.78rem;\n }\n #calculator label {\n font-size: 0.28rem;\n }\n #calculator .result-value {\n font-size: 0.7rem;\n }\n #calculator .result-label,\n #calculator .calculation-detail {\n font-size: 0.24rem;\n }\n #calculator .btn-primary,\n #calculator .btn-secondary {\n font-size: 0.28rem;\n height: 0.7rem;\n }\n #calculator .button-group {\n flex-direction: column;\n gap: 12px;\n }\n #calculator button {\n width: 100%;\n }\n #calculator .calculator-title {\n font-size: 0.5rem;\n }\n #calculator .calculator-subtitle {\n font-size: 0.24rem;\n }\n #calculator .inline-unit {\n font-size: 0.28rem;\n padding: 0 0.2rem;\n }\n \/* option text slightly smaller on mobile but consistent *\/\n #calculator .calculator-select option {\n font-size: 0.28rem;\n }\n }\n \n \/* error priority: error border overrides focus *\/\n #calculator .calculator-input.error-input:focus,\n #calculator .calculator-select.error-input:focus {\n border: 2px solid var(--error-color);\n }\n \n \/* remove any default spinner on number input *\/\n #calculator .calculator-input[type=\"number\"] {\n -moz-appearance: textfield;\n }\n #calculator .calculator-input[type=\"number\"]::-webkit-inner-spin-button,\n #calculator .calculator-input[type=\"number\"]::-webkit-outer-spin-button {\n -webkit-appearance: none;\n margin: 0;\n }\n <\/style>\n<\/head>\n<body>\n<div id=\"calculator\">\n <div class=\"calculator-container\">\n \n \n \n <div class=\"input-group\">\n <label for=\"calculator-phi\">Dynamischer Faktor <span class=\"var-symbol\">\u03c6<\/span><\/label>\n <select id=\"calculator-phi\" class=\"calculator-select\">\n <option value=\"1.1\">\ud83d\udd38 Niedrige Drehzahl \/ leichte Beanspruchung \/ Pr\u00e4zisionssteuerung \u2192 \u03c6 = 1,10<\/option>\n <option value=\"1.2\">\ud83d\udd38 Konventionelle Industrie (leicht) \u2192 \u03c6 = 1,20<\/option>\n <option value=\"1.25\" selected>\ud83d\udd38 Konventionelle Industrie (mittel) \u2192 \u03c6 = 1,25<\/option>\n <option value=\"1.3\">\ud83d\udd38 Konventionelle Industrie (Schwerlast) \u2192 \u03c6 = 1,30<\/option>\n <option value=\"1.4\">\ud83d\udd38 Hochleistungs-\/Extrembetrieb \u2192 \u03c6 = 1,40<\/option>\n <option value=\"1.5\">\ud83d\udd38Hohe Schlagfestigkeit \/ Fr\u00e4sleistung \u2192 \u03c6 = 1,50<\/option>\n <option value=\"1.6\">\ud83d\udd38Extreme Sto\u00dfbelastung \/ extreme Beanspruchung \u2192 \u03c6 = 1,60<\/option>\n <\/select>\n <div class=\"error-msg\" id=\"error-phi\"><\/div>\n <\/div>\n\n \n <div class=\"input-group\">\n <label for=\"calculator-ratedLoad\">Nennlast <span class=\"var-symbol\">Q<\/span><\/label>\n <div class=\"input-unit-wrapper\">\n <input type=\"number\" id=\"calculator-ratedLoad\" class=\"calculator-input\" placeholder=\"z. B. 20,0\" step=\"any\" value=\"20.0\">\n <span class=\"inline-unit\">Tonnen (t)<\/span>\n <\/div>\n <div class=\"error-msg\" id=\"error-ratedLoad\"><\/div>\n <\/div>\n\n \n <div class=\"input-group\">\n <label for=\"calculator-hookWeight\">Haken- und Befestigungsmasse <span class=\"var-symbol\">Q<sub>H<\/sub><\/span><\/label>\n <div class=\"input-unit-wrapper\">\n <input type=\"number\" id=\"calculator-hookWeight\" class=\"calculator-input\" placeholder=\"z. B. 0,6\" step=\"any\" value=\"0.6\">\n <span class=\"inline-unit\">Tonnen (t)<\/span>\n <\/div>\n <div class=\"error-msg\" id=\"error-hookWeight\"><\/div>\n <\/div>\n\n \n <div class=\"input-group\">\n <label for=\"calculator-trolleyWeight\">Eigengewicht des Wagens <span class=\"var-symbol\">G<sub>T<\/sub><\/span><\/label>\n <div class=\"input-unit-wrapper\">\n <input type=\"number\" id=\"calculator-trolleyWeight\" class=\"calculator-input\" placeholder=\"z. B. 5.4\" step=\"any\" value=\"5.4\">\n <span class=\"inline-unit\">Tonnen (t)<\/span>\n <\/div>\n <div class=\"error-msg\" id=\"error-trolleyWeight\"><\/div>\n <\/div>\n\n \n <div class=\"result-area\">\n <div class=\"result-label\">Ergebnis der dynamischen Last <span>P<sub>D<\/sub><\/span><\/div>\n <div class=\"result-value\" id=\"calculator-result\">\u2014 kN<\/div>\n <div class=\"calculation-detail\" id=\"calc-detail\"><\/div>\n <\/div>\n\n \n <div class=\"button-group\">\n <button id=\"calculator-calcBtn\" class=\"btn-primary\">Berechnen<\/button>\n <button id=\"calculator-resetBtn\" class=\"btn-secondary\">Zur\u00fccksetzen<\/button>\n <\/div>\n <\/div>\n<\/div>\n\n<script>\n (function() {\n \/\/ DOM references\n const phiSelect = document.getElementById('calculator-phi');\n const ratedLoadInput = document.getElementById('calculator-ratedLoad');\n const hookWeightInput = document.getElementById('calculator-hookWeight');\n const trolleyWeightInput = document.getElementById('calculator-trolleyWeight');\n const calcBtn = document.getElementById('calculator-calcBtn');\n const resetBtn = document.getElementById('calculator-resetBtn');\n const resultSpan = document.getElementById('calculator-result');\n const calcDetailSpan = document.getElementById('calc-detail');\n \n \/\/ error message containers\n const errorPhi = document.getElementById('error-phi');\n const errorRated = document.getElementById('error-ratedLoad');\n const errorHook = document.getElementById('error-hookWeight');\n const errorTrolley = document.getElementById('error-trolleyWeight');\n \n \/\/ input fields for validation\n const inputFields = [\n { element: ratedLoadInput, errorDiv: errorRated, name: 'Rated load' },\n { element: hookWeightInput, errorDiv: errorHook, name: 'Hook & attachment mass' },\n { element: trolleyWeightInput, errorDiv: errorTrolley, name: 'Trolley self-weight' }\n ];\n const selectField = { element: phiSelect, errorDiv: errorPhi, name: 'Dynamic factor' };\n \n \/\/ conversion factor: tonnes -> kN\n const TON_TO_KN = 9.80665;\n \n \/\/ Helper: clear error for a single input (remove class, hide message)\n function clearErrorForInput(inputEl, errorDiv) {\n if (inputEl) inputEl.classList.remove('error-input');\n if (errorDiv) errorDiv.classList.remove('visible');\n }\n \n \/\/ set error for single input\n function setErrorForInput(inputEl, errorDiv, message) {\n if (inputEl) inputEl.classList.add('error-input');\n if (errorDiv) {\n errorDiv.textContent = message || 'Invalid value';\n errorDiv.classList.add('visible');\n }\n }\n \n \/\/ clear all errors\n function clearAllErrors() {\n inputFields.forEach(field => {\n clearErrorForInput(field.element, field.errorDiv);\n });\n clearErrorForInput(selectField.element, selectField.errorDiv);\n }\n \n \/\/ validate single numeric input (non-empty, valid number >=0)\n function validateSingleInput(value, fieldName) {\n if (value === undefined || value === null || value === '') {\n return { valid: false, message: `${fieldName} cannot be empty.` };\n }\n const num = parseFloat(value);\n if (isNaN(num)) {\n return { valid: false, message: `${fieldName} must be a valid number.` };\n }\n if (num < 0) {\n return { valid: false, message: `${fieldName} cannot be negative.` };\n }\n return { valid: true, value: num };\n }\n \n \/\/ validate phi select\n function validatePhi() {\n const phiVal = phiSelect.value;\n const num = parseFloat(phiVal);\n if (isNaN(num)) {\n return { valid: false, message: 'Dynamic factor must be a valid number.' };\n }\n if (num <= 0) {\n return { valid: false, message: '\u03c6 must be greater than 0.' };\n }\n return { valid: true, value: num };\n }\n \n \/\/ main validation routine\n function validateAllInputs() {\n let isValid = true;\n \n \/\/ Validate rated load\n const ratedRaw = ratedLoadInput.value;\n const ratedCheck = validateSingleInput(ratedRaw, 'Rated load');\n if (!ratedCheck.valid) {\n setErrorForInput(ratedLoadInput, errorRated, ratedCheck.message);\n isValid = false;\n } else {\n clearErrorForInput(ratedLoadInput, errorRated);\n }\n \n \/\/ Validate hook weight\n const hookRaw = hookWeightInput.value;\n const hookCheck = validateSingleInput(hookRaw, 'Hook & attachment mass');\n if (!hookCheck.valid) {\n setErrorForInput(hookWeightInput, errorHook, hookCheck.message);\n isValid = false;\n } else {\n clearErrorForInput(hookWeightInput, errorHook);\n }\n \n \/\/ Validate trolley weight\n const trolleyRaw = trolleyWeightInput.value;\n const trolleyCheck = validateSingleInput(trolleyRaw, 'Trolley self-weight');\n if (!trolleyCheck.valid) {\n setErrorForInput(trolleyWeightInput, errorTrolley, trolleyCheck.message);\n isValid = false;\n } else {\n clearErrorForInput(trolleyWeightInput, errorTrolley);\n }\n \n \/\/ Validate phi\n const phiCheck = validatePhi();\n if (!phiCheck.valid) {\n setErrorForInput(phiSelect, errorPhi, phiCheck.message);\n isValid = false;\n } else {\n clearErrorForInput(phiSelect, errorPhi);\n }\n \n if (isValid) {\n return {\n valid: true,\n Q: parseFloat(ratedLoadInput.value),\n Qh: parseFloat(hookWeightInput.value),\n Gt: parseFloat(trolleyWeightInput.value),\n phi: parseFloat(phiSelect.value)\n };\n } else {\n return { valid: false };\n }\n }\n \n \/\/ compute and update result (2 decimals)\n function computeAndDisplay() {\n const validation = validateAllInputs();\n if (!validation.valid) {\n resultSpan.textContent = '-- kN';\n calcDetailSpan.textContent = '';\n return;\n }\n \n const { Q, Qh, Gt, phi } = validation;\n const sumTon = Q + Qh + Gt;\n const dynamicTonForce = phi * sumTon;\n const dynamicKN = dynamicTonForce * TON_TO_KN;\n const roundedKN = Math.round(dynamicKN * 100) \/ 100;\n resultSpan.textContent = roundedKN.toFixed(2) + ' kN';\n \n \/\/ detail expression: consistent formatting\n const sumFixed = sumTon.toFixed(3);\n const phiFixed = phi.toFixed(3);\n calcDetailSpan.innerHTML = `${phiFixed} \u00d7 (${Q.toFixed(2)} + ${Qh.toFixed(2)} + ${Gt.toFixed(2)}) t = ${phiFixed} \u00d7 ${sumFixed} t = ${dynamicTonForce.toFixed(3)} t \u2192 ${roundedKN.toFixed(2)} kN`;\n }\n \n \/\/ reset all inputs to default values, clear errors & reset result\n function resetCalculator() {\n ratedLoadInput.value = '20.0';\n hookWeightInput.value = '0.6';\n trolleyWeightInput.value = '5.4';\n phiSelect.value = '1.25'; \/\/ medium duty default\n \n clearAllErrors();\n \n \/\/ reset result display\n resultSpan.textContent = '-- kN';\n calcDetailSpan.textContent = '';\n \n \/\/ additionally, remove error classes from all inputs (already cleared, but ensure)\n inputFields.forEach(field => {\n field.element.classList.remove('error-input');\n });\n if (phiSelect) phiSelect.classList.remove('error-input');\n }\n \n \/\/ setup dynamic error clearing on input\/change\n function setupDynamicErrorClearing() {\n ratedLoadInput.addEventListener('input', function() {\n clearErrorForInput(ratedLoadInput, errorRated);\n });\n hookWeightInput.addEventListener('input', function() {\n clearErrorForInput(hookWeightInput, errorHook);\n });\n trolleyWeightInput.addEventListener('input', function() {\n clearErrorForInput(trolleyWeightInput, errorTrolley);\n });\n phiSelect.addEventListener('change', function() {\n clearErrorForInput(phiSelect, errorPhi);\n });\n }\n \n \/\/ calculate action\n function onCalculate() {\n computeAndDisplay();\n }\n \n \/\/ reset action\n function onReset() {\n resetCalculator();\n }\n \n \/\/ initialization\n function init() {\n setupDynamicErrorClearing();\n calcBtn.addEventListener('click', onCalculate);\n resetBtn.addEventListener('click', onReset);\n \/\/ initial compute with default values (shows result on page load)\n computeAndDisplay();\n }\n \n if (document.readyState === 'loading') {\n document.addEventListener('DOMContentLoaded', init);\n } else {\n init();\n }\n })();\n<\/script>\n<\/body>\n<\/html>\n\n\n\n<h2 class=\"wp-block-heading\">Formel zur Berechnung der dynamischen Kranbelastung<\/h2>\n\n\n\n<p>P<sub>D<\/sub>=\u03c6(Q+Q<sub>H<\/sub>+G<sub>T<\/sub>)<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>P<sub>D<\/sub>Dynamische Last<\/li>\n\n\n\n<li>\u03c6: Einflussfaktor<\/li>\n\n\n\n<li>F: Nennlast<\/li>\n\n\n\n<li>Q<sub>H<\/sub>Gewicht des Hakens und der Hebevorrichtung<\/li>\n\n\n\n<li>G<sub>T<\/sub>Eigengewicht des Wagens<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Hinweise<\/h2>\n\n\n\n<p>Im tats\u00e4chlichen Kranbetrieb sind die auf den Kran wirkenden Kr\u00e4fte stets gr\u00f6\u00dfer als die statische Last. Die Auswirkungen des Hebens und Anfahrens, die Tr\u00e4gheit beim Bremsen, die Vibrationen durch die Motorbeschleunigung und die dynamischen Kr\u00e4fte durch das Pendeln der Last verst\u00e4rken sich. Daher m\u00fcssen diese Faktoren bei den Berechnungen mit einem dynamischen Lastfaktor multipliziert werden.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>F\u00fcr niedrige Drehzahlen, geringe Lasten oder pr\u00e4zise Steuerung gilt: \u03c6=1,1<\/li>\n\n\n\n<li>Bei herk\u00f6mmlichen Industriekranen gilt \u03c6=1,2-1,3<\/li>\n\n\n\n<li>F\u00fcr anspruchsvolle oder raue Arbeitsbedingungen bzw. Betriebszust\u00e4nde mit erheblichen Auswirkungen gilt: \u03c6=1,4-1,6<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Anwendbare Krane<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Laufkr\u00e4ne<\/li>\n\n\n\n<li>Gnatry Cranes<\/li>\n\n\n\n<li>Elektrische Fahrwerke\/Hebezeuge<\/li>\n\n\n\n<li>Hafenkr\u00e4ne<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Unzutreffende Situation<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Hochtourige Rotationsmaschinen (Turbinen, Motoren)<\/li>\n\n\n\n<li>Pr\u00e4zisionsspindelsystem f\u00fcr Werkzeugmaschinen<\/li>\n\n\n\n<li>Intelligentes Hebesystem (automatische Schwingungsd\u00e4mpfung)<\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"Der Hauptnutzen des dynamischen Lastrechners f\u00fcr Krane liegt darin, dass er die im tats\u00e4chlichen Betrieb auftretenden Zusatzlasten anstelle des statischen Hubgewichts ber\u00fccksichtigt. Dadurch lassen sich die Auswirkungen dynamischer Vorg\u00e4nge wie Anfahren, Bremsen, Fahrst\u00f6\u00dfe, Vibrationen und Lastpendeln auf Kranstrukturen und -mechanismen pr\u00e4zise bewerten. Er unterst\u00fctzt effektiv die Festigkeits- und Durchbiegungspr\u00fcfung von Haupttr\u00e4gern, die Analyse des Endtr\u00e4gerdrucks und der Schienenspannungen sowie die Typenauswahl und Sicherheitspr\u00fcfung von Motoren, Bremsen und anderen kritischen Bauteilen. Er dient als wichtige Grundlage f\u00fcr die Tragwerksplanung, die Lebensdauerbewertung und die Sicherheitszertifizierung von Br\u00fccken- und Portalkranen gem\u00e4\u00df ISO-, FEM-, EN- und GB-Normen.","protected":false},"author":8,"featured_media":17038,"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":[63],"tags":[],"class_list":["post-17030","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-other"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/posts\/17030"}],"collection":[{"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/comments?post=17030"}],"version-history":[{"count":6,"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/posts\/17030\/revisions"}],"predecessor-version":[{"id":17039,"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/posts\/17030\/revisions\/17039"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/media\/17038"}],"wp:attachment":[{"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/media?parent=17030"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/categories?post=17030"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/tags?post=17030"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

{"id":17030,"date":"2026-05-22T01:39:17","date_gmt":"2026-05-22T01:39:17","guid":{"rendered":"https:\/\/www.dgcrane.com\/?p=17030"},"modified":"2026-05-22T01:59:01","modified_gmt":"2026-05-22T01:59:01","slug":"crane-dynamic-loading-calculator","status":"publish","type":"post","link":"https:\/\/www.dgcrane.com\/de\/crane-dynamic-loading-calculator\/","title":{"rendered":"Dynamischer Lastrechner f\u00fcr Krane"},"content":{"rendered":"\n\n\n \n \n Dynamische Kranlastberechnung | P_d = \u03c6\u00b7(Q+Q_h+G_t)<\/title>\n <style>\n \/* all styles are strictly scoped inside #calculator *\/\n #calculator {\n --primary-color: #0a3487;\n --primary-hover: #F58423;\n --error-color: #e53935;\n --bg-color: #EAEEF7;\n --text-color: #4a4a4a;\n \n display: block;\n width: 100%;\n background: var(--bg-color);\n font-family: 'Segoe UI', Roboto, 'Helvetica Neue', sans-serif;\n color: var(--text-color);\n }\n \n \/* container for PC max-width & padding *\/\n #calculator .calculator-container {\n max-width: 545px;\n padding: 30px;\n margin: 0 auto;\n background: var(--bg-color);\n box-sizing: border-box;\n }\n \n \/* typography *\/\n #calculator .calculator-title {\n font-size: 24px;\n font-weight: 600;\n margin: 0 0 4px 0;\n color: var(--primary-color);\n letter-spacing: -0.2px;\n }\n \n #calculator .calculator-subtitle {\n font-size: 14px;\n margin: 0 0 24px 0;\n font-family: monospace;\n background: rgba(10,52,135,0.08);\n display: inline-block;\n padding: 4px 12px;\n border-radius: 0;\n color: var(--primary-color);\n }\n \n \/* input groups *\/\n #calculator .input-group {\n margin-bottom: 20px;\n width: 100%;\n position: relative;\n }\n \n #calculator label {\n display: block;\n font-size: 14px;\n font-weight: 500;\n margin-bottom: 6px;\n color: var(--text-color);\n }\n \n #calculator .var-symbol {\n font-family: monospace;\n font-weight: 700;\n background: rgba(0,0,0,0.04);\n padding: 0px 4px;\n border-radius: 0;\n margin-left: 4px;\n }\n \n \/* wrapper for input + inline unit (unit placed inside input field on the right) *\/\n #calculator .input-unit-wrapper {\n position: relative;\n width: 100%;\n }\n \n #calculator .input-unit-wrapper .calculator-input {\n width: 100%;\n padding-right: 104px;\n }\n \n #calculator .inline-unit {\n position: absolute;\n right: 1px;\n top: 1px;\n bottom: 1px;\n display: flex;\n align-items: center;\n justify-content: center;\n font-size: 14px;\n font-weight: 500;\n color: #aaaaaa;\n background: transparent;\n padding: 0 8px;\n height: auto;\n line-height: 1;\n white-space: nowrap;\n font-family: monospace;\n pointer-events: none;\n box-sizing: border-box;\n }\n \n \/* select styling \u2014 no unit after select *\/\n #calculator .calculator-input,\n #calculator .calculator-select {\n width: 100%;\n height: 36px;\n padding: 0 12px;\n font-size: 16px;\n border: 1px solid #ccc;\n border-radius: 0;\n background: white;\n font-family: 'Segoe UI', 'SF Mono', monospace;\n color: #333;\n transition: all 0.2s ease;\n box-sizing: border-box;\n }\n \n #calculator .calculator-select {\n cursor: pointer;\n appearance: none;\n background-image: url('data:image\/svg+xml;utf8,<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"%234a4a4a\" stroke-width=\"2\" stroke-linecap=\"round\" stroke-linejoin=\"round\"><polyline points=\"6 9 12 15 18 9\"><\/polyline><\/svg>');\n background-repeat: no-repeat;\n background-position: right 12px center;\n background-size: 14px;\n }\n \n \/* ensure dropdown options have consistent font and spacing *\/\n #calculator .calculator-select option {\n font-size: 14px;\n padding: 8px;\n font-family: 'Segoe UI', 'SF Mono', monospace;\n line-height: 1.4;\n color: #333;\n }\n \n #calculator .calculator-input:focus,\n #calculator .calculator-select:focus {\n outline: none;\n border: 2px solid var(--primary-color);\n padding: 0 11px;\n height: 36px;\n }\n \n #calculator .input-unit-wrapper .calculator-input:focus {\n padding-right: 103px;\n }\n \n \/* error state: border 2px solid error-color *\/\n #calculator .calculator-input.error-input,\n #calculator .calculator-select.error-input {\n border: 2px solid var(--error-color);\n padding: 0 11px;\n height: 36px;\n }\n \n #calculator .input-unit-wrapper .calculator-input.error-input {\n padding-right: 103px;\n }\n \n \/* error message styling *\/\n #calculator .error-msg {\n font-size: 12px;\n color: var(--error-color);\n margin-top: 5px;\n display: none;\n line-height: 1.2;\n }\n \n #calculator .error-msg.visible {\n display: block;\n }\n \n \/* result area *\/\n #calculator .result-area {\n background: white;\n margin: 20px 0 24px 0;\n padding: 18px 16px;\n text-align: center;\n border-left: 4px solid var(--primary-color);\n box-shadow: 0 1px 3px rgba(0,0,0,0.05);\n }\n \n #calculator .result-label {\n font-size: 14px;\n font-weight: 500;\n text-transform: uppercase;\n letter-spacing: 1px;\n color: var(--text-color);\n margin-bottom: 8px;\n }\n \n #calculator .result-value {\n font-size: 40px;\n font-weight: 800;\n font-family: 'Segoe UI', Roboto, 'Helvetica Neue', Arial, sans-serif;\n color: var(--primary-color);\n line-height: 1.1;\n word-break: break-word;\n }\n \n #calculator .calculation-detail {\n font-size: 12px;\n font-family: monospace;\n color: #6b7280;\n margin-top: 8px;\n border-top: 1px solid #ececec;\n padding-top: 6px;\n }\n \n \/* button group: horizontal flex on PC *\/\n #calculator .button-group {\n display: flex;\n flex-direction: row;\n gap: 16px;\n margin-top: 8px;\n }\n \n #calculator button {\n flex: 1;\n height: 36px;\n font-size: 14px;\n font-weight: 600;\n border: none;\n border-radius: 0;\n cursor: pointer;\n transition: all 0.2s ease;\n font-family: inherit;\n }\n \n #calculator .btn-primary {\n background: var(--primary-color);\n color: white;\n }\n \n #calculator .btn-primary:hover {\n background: var(--primary-hover);\n }\n \n #calculator .btn-secondary {\n background: #6c757d;\n color: white;\n }\n \n #calculator .btn-secondary:hover {\n background: #5a6268;\n }\n \n \/* mobile responsiveness (rem based, following spec) *\/\n @media (max-width: 768px) {\n #calculator .calculator-container {\n padding: 20px;\n max-width: 100%;\n }\n #calculator .calculator-input,\n #calculator .calculator-select,\n #calculator button,\n #calculator .inline-unit {\n height: 0.7rem;\n font-size: 0.28rem;\n line-height: 0.7rem;\n }\n #calculator .calculator-input,\n #calculator .calculator-select {\n height: 0.7rem;\n padding: 0 0.2rem;\n font-size: 0.28rem;\n }\n #calculator .input-unit-wrapper .calculator-input {\n padding-right: 1.8rem;\n }\n #calculator .calculator-input:focus,\n #calculator .calculator-select:focus {\n padding: 0 0.18rem;\n height: 0.7rem;\n }\n #calculator .input-unit-wrapper .calculator-input:focus {\n padding-right: 1.78rem;\n }\n #calculator .calculator-input.error-input,\n #calculator .calculator-select.error-input {\n padding: 0 0.18rem;\n height: 0.7rem;\n }\n #calculator .input-unit-wrapper .calculator-input.error-input {\n padding-right: 1.78rem;\n }\n #calculator label {\n font-size: 0.28rem;\n }\n #calculator .result-value {\n font-size: 0.7rem;\n }\n #calculator .result-label,\n #calculator .calculation-detail {\n font-size: 0.24rem;\n }\n #calculator .btn-primary,\n #calculator .btn-secondary {\n font-size: 0.28rem;\n height: 0.7rem;\n }\n #calculator .button-group {\n flex-direction: column;\n gap: 12px;\n }\n #calculator button {\n width: 100%;\n }\n #calculator .calculator-title {\n font-size: 0.5rem;\n }\n #calculator .calculator-subtitle {\n font-size: 0.24rem;\n }\n #calculator .inline-unit {\n font-size: 0.28rem;\n padding: 0 0.2rem;\n }\n \/* option text slightly smaller on mobile but consistent *\/\n #calculator .calculator-select option {\n font-size: 0.28rem;\n }\n }\n \n \/* error priority: error border overrides focus *\/\n #calculator .calculator-input.error-input:focus,\n #calculator .calculator-select.error-input:focus {\n border: 2px solid var(--error-color);\n }\n \n \/* remove any default spinner on number input *\/\n #calculator .calculator-input[type=\"number\"] {\n -moz-appearance: textfield;\n }\n #calculator .calculator-input[type=\"number\"]::-webkit-inner-spin-button,\n #calculator .calculator-input[type=\"number\"]::-webkit-outer-spin-button {\n -webkit-appearance: none;\n margin: 0;\n }\n <\/style>\n<\/head>\n<body>\n<div id=\"calculator\">\n <div class=\"calculator-container\">\n \n \n \n <div class=\"input-group\">\n <label for=\"calculator-phi\">Dynamischer Faktor <span class=\"var-symbol\">\u03c6<\/span><\/label>\n <select id=\"calculator-phi\" class=\"calculator-select\">\n <option value=\"1.1\">\ud83d\udd38 Niedrige Drehzahl \/ leichte Beanspruchung \/ Pr\u00e4zisionssteuerung \u2192 \u03c6 = 1,10<\/option>\n <option value=\"1.2\">\ud83d\udd38 Konventionelle Industrie (leicht) \u2192 \u03c6 = 1,20<\/option>\n <option value=\"1.25\" selected>\ud83d\udd38 Konventionelle Industrie (mittel) \u2192 \u03c6 = 1,25<\/option>\n <option value=\"1.3\">\ud83d\udd38 Konventionelle Industrie (Schwerlast) \u2192 \u03c6 = 1,30<\/option>\n <option value=\"1.4\">\ud83d\udd38 Hochleistungs-\/Extrembetrieb \u2192 \u03c6 = 1,40<\/option>\n <option value=\"1.5\">\ud83d\udd38Hohe Schlagfestigkeit \/ Fr\u00e4sleistung \u2192 \u03c6 = 1,50<\/option>\n <option value=\"1.6\">\ud83d\udd38Extreme Sto\u00dfbelastung \/ extreme Beanspruchung \u2192 \u03c6 = 1,60<\/option>\n <\/select>\n <div class=\"error-msg\" id=\"error-phi\"><\/div>\n <\/div>\n\n \n <div class=\"input-group\">\n <label for=\"calculator-ratedLoad\">Nennlast <span class=\"var-symbol\">Q<\/span><\/label>\n <div class=\"input-unit-wrapper\">\n <input type=\"number\" id=\"calculator-ratedLoad\" class=\"calculator-input\" placeholder=\"z. B. 20,0\" step=\"any\" value=\"20.0\">\n <span class=\"inline-unit\">Tonnen (t)<\/span>\n <\/div>\n <div class=\"error-msg\" id=\"error-ratedLoad\"><\/div>\n <\/div>\n\n \n <div class=\"input-group\">\n <label for=\"calculator-hookWeight\">Haken- und Befestigungsmasse <span class=\"var-symbol\">Q<sub>H<\/sub><\/span><\/label>\n <div class=\"input-unit-wrapper\">\n <input type=\"number\" id=\"calculator-hookWeight\" class=\"calculator-input\" placeholder=\"z. B. 0,6\" step=\"any\" value=\"0.6\">\n <span class=\"inline-unit\">Tonnen (t)<\/span>\n <\/div>\n <div class=\"error-msg\" id=\"error-hookWeight\"><\/div>\n <\/div>\n\n \n <div class=\"input-group\">\n <label for=\"calculator-trolleyWeight\">Eigengewicht des Wagens <span class=\"var-symbol\">G<sub>T<\/sub><\/span><\/label>\n <div class=\"input-unit-wrapper\">\n <input type=\"number\" id=\"calculator-trolleyWeight\" class=\"calculator-input\" placeholder=\"z. B. 5.4\" step=\"any\" value=\"5.4\">\n <span class=\"inline-unit\">Tonnen (t)<\/span>\n <\/div>\n <div class=\"error-msg\" id=\"error-trolleyWeight\"><\/div>\n <\/div>\n\n \n <div class=\"result-area\">\n <div class=\"result-label\">Ergebnis der dynamischen Last <span>P<sub>D<\/sub><\/span><\/div>\n <div class=\"result-value\" id=\"calculator-result\">\u2014 kN<\/div>\n <div class=\"calculation-detail\" id=\"calc-detail\"><\/div>\n <\/div>\n\n \n <div class=\"button-group\">\n <button id=\"calculator-calcBtn\" class=\"btn-primary\">Berechnen<\/button>\n <button id=\"calculator-resetBtn\" class=\"btn-secondary\">Zur\u00fccksetzen<\/button>\n <\/div>\n <\/div>\n<\/div>\n\n<script>\n (function() {\n \/\/ DOM references\n const phiSelect = document.getElementById('calculator-phi');\n const ratedLoadInput = document.getElementById('calculator-ratedLoad');\n const hookWeightInput = document.getElementById('calculator-hookWeight');\n const trolleyWeightInput = document.getElementById('calculator-trolleyWeight');\n const calcBtn = document.getElementById('calculator-calcBtn');\n const resetBtn = document.getElementById('calculator-resetBtn');\n const resultSpan = document.getElementById('calculator-result');\n const calcDetailSpan = document.getElementById('calc-detail');\n \n \/\/ error message containers\n const errorPhi = document.getElementById('error-phi');\n const errorRated = document.getElementById('error-ratedLoad');\n const errorHook = document.getElementById('error-hookWeight');\n const errorTrolley = document.getElementById('error-trolleyWeight');\n \n \/\/ input fields for validation\n const inputFields = [\n { element: ratedLoadInput, errorDiv: errorRated, name: 'Rated load' },\n { element: hookWeightInput, errorDiv: errorHook, name: 'Hook & attachment mass' },\n { element: trolleyWeightInput, errorDiv: errorTrolley, name: 'Trolley self-weight' }\n ];\n const selectField = { element: phiSelect, errorDiv: errorPhi, name: 'Dynamic factor' };\n \n \/\/ conversion factor: tonnes -> kN\n const TON_TO_KN = 9.80665;\n \n \/\/ Helper: clear error for a single input (remove class, hide message)\n function clearErrorForInput(inputEl, errorDiv) {\n if (inputEl) inputEl.classList.remove('error-input');\n if (errorDiv) errorDiv.classList.remove('visible');\n }\n \n \/\/ set error for single input\n function setErrorForInput(inputEl, errorDiv, message) {\n if (inputEl) inputEl.classList.add('error-input');\n if (errorDiv) {\n errorDiv.textContent = message || 'Invalid value';\n errorDiv.classList.add('visible');\n }\n }\n \n \/\/ clear all errors\n function clearAllErrors() {\n inputFields.forEach(field => {\n clearErrorForInput(field.element, field.errorDiv);\n });\n clearErrorForInput(selectField.element, selectField.errorDiv);\n }\n \n \/\/ validate single numeric input (non-empty, valid number >=0)\n function validateSingleInput(value, fieldName) {\n if (value === undefined || value === null || value === '') {\n return { valid: false, message: `${fieldName} cannot be empty.` };\n }\n const num = parseFloat(value);\n if (isNaN(num)) {\n return { valid: false, message: `${fieldName} must be a valid number.` };\n }\n if (num < 0) {\n return { valid: false, message: `${fieldName} cannot be negative.` };\n }\n return { valid: true, value: num };\n }\n \n \/\/ validate phi select\n function validatePhi() {\n const phiVal = phiSelect.value;\n const num = parseFloat(phiVal);\n if (isNaN(num)) {\n return { valid: false, message: 'Dynamic factor must be a valid number.' };\n }\n if (num <= 0) {\n return { valid: false, message: '\u03c6 must be greater than 0.' };\n }\n return { valid: true, value: num };\n }\n \n \/\/ main validation routine\n function validateAllInputs() {\n let isValid = true;\n \n \/\/ Validate rated load\n const ratedRaw = ratedLoadInput.value;\n const ratedCheck = validateSingleInput(ratedRaw, 'Rated load');\n if (!ratedCheck.valid) {\n setErrorForInput(ratedLoadInput, errorRated, ratedCheck.message);\n isValid = false;\n } else {\n clearErrorForInput(ratedLoadInput, errorRated);\n }\n \n \/\/ Validate hook weight\n const hookRaw = hookWeightInput.value;\n const hookCheck = validateSingleInput(hookRaw, 'Hook & attachment mass');\n if (!hookCheck.valid) {\n setErrorForInput(hookWeightInput, errorHook, hookCheck.message);\n isValid = false;\n } else {\n clearErrorForInput(hookWeightInput, errorHook);\n }\n \n \/\/ Validate trolley weight\n const trolleyRaw = trolleyWeightInput.value;\n const trolleyCheck = validateSingleInput(trolleyRaw, 'Trolley self-weight');\n if (!trolleyCheck.valid) {\n setErrorForInput(trolleyWeightInput, errorTrolley, trolleyCheck.message);\n isValid = false;\n } else {\n clearErrorForInput(trolleyWeightInput, errorTrolley);\n }\n \n \/\/ Validate phi\n const phiCheck = validatePhi();\n if (!phiCheck.valid) {\n setErrorForInput(phiSelect, errorPhi, phiCheck.message);\n isValid = false;\n } else {\n clearErrorForInput(phiSelect, errorPhi);\n }\n \n if (isValid) {\n return {\n valid: true,\n Q: parseFloat(ratedLoadInput.value),\n Qh: parseFloat(hookWeightInput.value),\n Gt: parseFloat(trolleyWeightInput.value),\n phi: parseFloat(phiSelect.value)\n };\n } else {\n return { valid: false };\n }\n }\n \n \/\/ compute and update result (2 decimals)\n function computeAndDisplay() {\n const validation = validateAllInputs();\n if (!validation.valid) {\n resultSpan.textContent = '-- kN';\n calcDetailSpan.textContent = '';\n return;\n }\n \n const { Q, Qh, Gt, phi } = validation;\n const sumTon = Q + Qh + Gt;\n const dynamicTonForce = phi * sumTon;\n const dynamicKN = dynamicTonForce * TON_TO_KN;\n const roundedKN = Math.round(dynamicKN * 100) \/ 100;\n resultSpan.textContent = roundedKN.toFixed(2) + ' kN';\n \n \/\/ detail expression: consistent formatting\n const sumFixed = sumTon.toFixed(3);\n const phiFixed = phi.toFixed(3);\n calcDetailSpan.innerHTML = `${phiFixed} \u00d7 (${Q.toFixed(2)} + ${Qh.toFixed(2)} + ${Gt.toFixed(2)}) t = ${phiFixed} \u00d7 ${sumFixed} t = ${dynamicTonForce.toFixed(3)} t \u2192 ${roundedKN.toFixed(2)} kN`;\n }\n \n \/\/ reset all inputs to default values, clear errors & reset result\n function resetCalculator() {\n ratedLoadInput.value = '20.0';\n hookWeightInput.value = '0.6';\n trolleyWeightInput.value = '5.4';\n phiSelect.value = '1.25'; \/\/ medium duty default\n \n clearAllErrors();\n \n \/\/ reset result display\n resultSpan.textContent = '-- kN';\n calcDetailSpan.textContent = '';\n \n \/\/ additionally, remove error classes from all inputs (already cleared, but ensure)\n inputFields.forEach(field => {\n field.element.classList.remove('error-input');\n });\n if (phiSelect) phiSelect.classList.remove('error-input');\n }\n \n \/\/ setup dynamic error clearing on input\/change\n function setupDynamicErrorClearing() {\n ratedLoadInput.addEventListener('input', function() {\n clearErrorForInput(ratedLoadInput, errorRated);\n });\n hookWeightInput.addEventListener('input', function() {\n clearErrorForInput(hookWeightInput, errorHook);\n });\n trolleyWeightInput.addEventListener('input', function() {\n clearErrorForInput(trolleyWeightInput, errorTrolley);\n });\n phiSelect.addEventListener('change', function() {\n clearErrorForInput(phiSelect, errorPhi);\n });\n }\n \n \/\/ calculate action\n function onCalculate() {\n computeAndDisplay();\n }\n \n \/\/ reset action\n function onReset() {\n resetCalculator();\n }\n \n \/\/ initialization\n function init() {\n setupDynamicErrorClearing();\n calcBtn.addEventListener('click', onCalculate);\n resetBtn.addEventListener('click', onReset);\n \/\/ initial compute with default values (shows result on page load)\n computeAndDisplay();\n }\n \n if (document.readyState === 'loading') {\n document.addEventListener('DOMContentLoaded', init);\n } else {\n init();\n }\n })();\n<\/script>\n<\/body>\n<\/html>\n\n\n\n<h2 class=\"wp-block-heading\">Formel zur Berechnung der dynamischen Kranbelastung<\/h2>\n\n\n\n<p>P<sub>D<\/sub>=\u03c6(Q+Q<sub>H<\/sub>+G<sub>T<\/sub>)<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>P<sub>D<\/sub>Dynamische Last<\/li>\n\n\n\n<li>\u03c6: Einflussfaktor<\/li>\n\n\n\n<li>F: Nennlast<\/li>\n\n\n\n<li>Q<sub>H<\/sub>Gewicht des Hakens und der Hebevorrichtung<\/li>\n\n\n\n<li>G<sub>T<\/sub>Eigengewicht des Wagens<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Hinweise<\/h2>\n\n\n\n<p>Im tats\u00e4chlichen Kranbetrieb sind die auf den Kran wirkenden Kr\u00e4fte stets gr\u00f6\u00dfer als die statische Last. Die Auswirkungen des Hebens und Anfahrens, die Tr\u00e4gheit beim Bremsen, die Vibrationen durch die Motorbeschleunigung und die dynamischen Kr\u00e4fte durch das Pendeln der Last verst\u00e4rken sich. Daher m\u00fcssen diese Faktoren bei den Berechnungen mit einem dynamischen Lastfaktor multipliziert werden.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>F\u00fcr niedrige Drehzahlen, geringe Lasten oder pr\u00e4zise Steuerung gilt: \u03c6=1,1<\/li>\n\n\n\n<li>Bei herk\u00f6mmlichen Industriekranen gilt \u03c6=1,2-1,3<\/li>\n\n\n\n<li>F\u00fcr anspruchsvolle oder raue Arbeitsbedingungen bzw. Betriebszust\u00e4nde mit erheblichen Auswirkungen gilt: \u03c6=1,4-1,6<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Anwendbare Krane<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Laufkr\u00e4ne<\/li>\n\n\n\n<li>Gnatry Cranes<\/li>\n\n\n\n<li>Elektrische Fahrwerke\/Hebezeuge<\/li>\n\n\n\n<li>Hafenkr\u00e4ne<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Unzutreffende Situation<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Hochtourige Rotationsmaschinen (Turbinen, Motoren)<\/li>\n\n\n\n<li>Pr\u00e4zisionsspindelsystem f\u00fcr Werkzeugmaschinen<\/li>\n\n\n\n<li>Intelligentes Hebesystem (automatische Schwingungsd\u00e4mpfung)<\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"Der Hauptnutzen des dynamischen Lastrechners f\u00fcr Krane liegt darin, dass er die im tats\u00e4chlichen Betrieb auftretenden Zusatzlasten anstelle des statischen Hubgewichts ber\u00fccksichtigt. Dadurch lassen sich die Auswirkungen dynamischer Vorg\u00e4nge wie Anfahren, Bremsen, Fahrst\u00f6\u00dfe, Vibrationen und Lastpendeln auf Kranstrukturen und -mechanismen pr\u00e4zise bewerten. Er unterst\u00fctzt effektiv die Festigkeits- und Durchbiegungspr\u00fcfung von Haupttr\u00e4gern, die Analyse des Endtr\u00e4gerdrucks und der Schienenspannungen sowie die Typenauswahl und Sicherheitspr\u00fcfung von Motoren, Bremsen und anderen kritischen Bauteilen. Er dient als wichtige Grundlage f\u00fcr die Tragwerksplanung, die Lebensdauerbewertung und die Sicherheitszertifizierung von Br\u00fccken- und Portalkranen gem\u00e4\u00df ISO-, FEM-, EN- und GB-Normen.","protected":false},"author":8,"featured_media":17038,"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":[63],"tags":[],"class_list":["post-17030","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-other"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/posts\/17030"}],"collection":[{"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/comments?post=17030"}],"version-history":[{"count":6,"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/posts\/17030\/revisions"}],"predecessor-version":[{"id":17039,"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/posts\/17030\/revisions\/17039"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/media\/17038"}],"wp:attachment":[{"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/media?parent=17030"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/categories?post=17030"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dgcrane.com\/de\/wp-json\/wp\/v2\/tags?post=17030"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}