{"id":100119,"date":"2026-02-15T20:18:50","date_gmt":"2026-02-15T20:18:50","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100119"},"modified":"2026-02-15T20:18:50","modified_gmt":"2026-02-15T20:18:50","slug":"gps-tolerance-iso14405","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/pt_br\/calculators\/gps-tolerance-iso14405\/","title":{"rendered":"Calculadora de Toler\u00e2ncia GPS | ISO 14405-1 | Ferramenta Online Gratuita"},"content":{"rendered":"\n<script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"GPS Tolerance Calculator ISO 14405\",\"alternateName\":[\"ISO 14405-1 Size Tolerance Tool\",\"GPS Specification Operator Calculator\"],\"description\":\"Free online GPS size tolerance calculator per ISO 14405-1. Shows specification operators, default vs special size specifications.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/gps-tolerance-iso14405\/\",\"applicationCategory\":\"Engineering Calculator\",\"operatingSystem\":\"Any (Web Browser)\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"EUR\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\",\"url\":\"https:\/\/vibromera.eu\/\"},\"datePublished\":\"2024-01-01\",\"dateModified\":\"2025-06-01\",\"inLanguage\":\"en\",\"isAccessibleForFree\":true,\"featureList\":[\"ISO 14405-1 size specifications\",\"Default and special operators\",\"Tolerance zone visualization\",\"IT grade reference\",\"Auto-calculation\"],\"keywords\":\"GPS, ISO 14405, size tolerance, specification operator\"}\n<\/script>\n\n<script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[\n{\"@type\":\"Question\",\"name\":\"What is GPS in dimensional metrology?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"GPS (Geometrical Product Specifications) is a framework of ISO standards for specifying and verifying geometry of workpieces. ISO 14405-1 specifically covers linear size tolerances and defines how size is specified and interpreted.\"}},\n{\"@type\":\"Question\",\"name\":\"What is the default size specification in ISO 14405-1?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"The default specification operator is the two-point size (LP \u2014 local size measured between two opposing points). If no modifier is indicated on the drawing, two-point size applies. This is the traditional caliper\/micrometer measurement.\"}},\n{\"@type\":\"Question\",\"name\":\"What are the special specification operators?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"ISO 14405-1 defines several special operators: GG (least-squares\/Gaussian size), GX (maximum inscribed size for holes), GN (minimum circumscribed size for shafts), CC (circumference diameter), and others for specific measurement needs.\"}},\n{\"@type\":\"Question\",\"name\":\"How does ISO 14405-1 relate to ISO 286?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"ISO 286 defines the ISO system of limits and fits (IT grades, fundamental deviations). ISO 14405-1 defines HOW the size is measured\/interpreted. Together they fully specify size: ISO 286 gives the limits, ISO 14405-1 gives the measurement method.\"}},\n{\"@type\":\"Question\",\"name\":\"What is the envelope requirement (\u24ba)?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"The envelope requirement (\u24ba modifier per ISO 14405-1) requires that the feature does not violate a perfect-form boundary at MMC. This links size and form, effectively requiring the feature to fit inside a perfect gauge at maximum material size.\"}}\n]}\n<\/script>\n\n<script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[\n{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/vibromera.eu\/\"},\n{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Calculators\",\"item\":\"https:\/\/vibromera.eu\/calculators\/\"},\n{\"@type\":\"ListItem\",\"position\":3,\"name\":\"GPS Tolerance ISO 14405\",\"item\":\"https:\/\/vibromera.eu\/calculators\/gps-tolerance-iso14405\/\"}\n]}\n<\/script>\n\n<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\n\n<link rel=\"preconnect\" href=\"https:\/\/fonts.gstatic.com\" crossorigin>\n\n<link 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print{.vc-section-body{max-height:none!important}.vc-faq-a{max-height:none!important}.vc-results{max-height:none!important;padding:24px!important}.vc-copy-btn,.vc-section-chevron,.vc-faq-chevron,.vc-presets,.vc-promo{display:none!important}}\n<\/style>\n\n<div class=\"vc-calculator\" id=\"vc-gps-tolerance\">\n<header class=\"vc-header\">\n    <p class=\"vc-header-eyebrow\">Free Engineering Tool<\/p>\n    <h1 class=\"vc-header-title\">GPS Tolerance Calculator \u2014 ISO 14405-1<\/h1>\n    <p class=\"vc-header-subtitle\">ISO 14405-1 GPS size tolerance reference. Enter nominal size and fit to see specification operators, limits, and interpretation per the GPS framework.<\/p>\n    <div class=\"vc-badges\"><span class=\"vc-badge\">ISO 14405-1<\/span><span class=\"vc-badge\">ISO 286<\/span><span class=\"vc-badge\">GPS Framework<\/span><\/div>\n<\/header>\n\n<div class=\"vc-card\">\n    <form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\">\n        <div class=\"vc-form-grid\">\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-nominal\">Nominal Size <span class=\"vc-label-hint\">(mm)<\/span><\/label>\n                <input class=\"vc-input\" type=\"number\" id=\"vc-nominal\" inputmode=\"decimal\" step=\"any\" min=\"1\" max=\"500\" placeholder=\"e.g. 50\" value=\"50\">\n            <\/div>\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-fit\">Fit \/ Tolerance<\/label>\n                <select class=\"vc-select\" id=\"vc-fit\">\n                    <option value=\"H7\">H7 (Hole basis, close running)<\/option>\n                    <option value=\"H8\">H8 (Hole basis, free running)<\/option>\n                    <option value=\"H6\">H6 (Hole basis, sliding)<\/option>\n                    <option value=\"g6\" selected>g6 (Shaft, sliding fit)<\/option>\n                    <option value=\"h6\">h6 (Shaft, close running)<\/option>\n                    <option value=\"k6\">k6 (Shaft, transition)<\/option>\n                    <option value=\"p6\">p6 (Shaft, press fit)<\/option>\n                    <option value=\"js7\">js7 (Shaft, symmetrical)<\/option>\n                    <option value=\"f7\">f7 (Shaft, easy running)<\/option>\n                    <option value=\"e8\">e8 (Shaft, loose running)<\/option>\n                <\/select>\n            <\/div>\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-operator\">Size Specification Operator<\/label>\n                <select class=\"vc-select\" id=\"vc-operator\">\n                    <option value=\"LP\" selected>LP \u2014 Two-point size (default)<\/option>\n                    <option value=\"GG\">GG \u2014 Least-squares (Gaussian) size<\/option>\n                    <option value=\"GX\">GX \u2014 Maximum inscribed size (holes)<\/option>\n                    <option value=\"GN\">GN \u2014 Minimum circumscribed size (shafts)<\/option>\n                    <option value=\"CC\">CC \u2014 Circumference diameter<\/option>\n                    <option value=\"CA\">CA \u2014 Area diameter<\/option>\n                <\/select>\n            <\/div>\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-envelope\">Envelope Requirement<\/label>\n                <select class=\"vc-select\" id=\"vc-envelope\">\n                    <option value=\"no\" selected>No (Independence principle \u2014 ISO 8015)<\/option>\n                    <option value=\"yes\">Yes \u2014 \u24ba (Perfect form at MMC)<\/option>\n                <\/select>\n            <\/div>\n        <\/div>\n        <div class=\"vc-presets\">\n            <div class=\"vc-presets-label\">Quick presets<\/div>\n            <button type=\"button\" class=\"vc-preset-btn\" data-n=\"50\" data-f=\"H7\" data-o=\"LP\" data-e=\"no\">\u230050 H7 (LP)<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-n=\"25\" data-f=\"g6\" data-o=\"LP\" data-e=\"yes\">\u230025 g6 \u24ba<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-n=\"80\" data-f=\"p6\" data-o=\"GX\" data-e=\"no\">\u230080 p6 (GX)<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-n=\"100\" data-f=\"H8\" data-o=\"GG\" data-e=\"no\">\u2300100 H8 (GG)<\/button>\n        <\/div>\n    <\/form>\n\n    <div class=\"vc-results\" id=\"vc-results\">\n        <div class=\"vc-results-head\">\n            <h2 class=\"vc-results-title\">Results<\/h2>\n            <button type=\"button\" class=\"vc-copy-btn\" id=\"vc-copy-btn\"><svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><rect x=\"9\" y=\"9\" width=\"13\" height=\"13\" rx=\"2\"\/><path d=\"M5 15H4a2 2 0 01-2-2V4a2 2 0 012-2h9a2 2 0 012 2v1\"\/><\/svg> Copy<\/button>\n        <\/div>\n        <div class=\"vc-result-grid\">\n            <div class=\"vc-rcard vc-rcard-primary\">\n                <div class=\"vc-rcard-label\">Drawing Specification<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-spec\" style=\"font-size:24px\">\u2014<\/div>\n            <\/div>\n            <div class=\"vc-rcard\">\n                <div class=\"vc-rcard-label\">Upper Limit<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-upper\">\u2014<\/div>\n            <\/div>\n            <div class=\"vc-rcard\">\n                <div class=\"vc-rcard-label\">Lower Limit<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-lower\">\u2014<\/div>\n            <\/div>\n            <div class=\"vc-rcard\">\n                <div class=\"vc-rcard-label\">Tolerance Band<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-band\">\u2014<\/div>\n            <\/div>\n            <div class=\"vc-rcard\">\n                <div class=\"vc-rcard-label\">Operator Description<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-opdesc\" style=\"font-size:14px\">\u2014<\/div>\n            <\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"vc-section vc-open\" id=\"vc-sec-theory\">\n    <button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"true\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\ud83d\udcd8<\/span><span class=\"vc-section-title\">Theory &amp; Reference<\/span><\/span><svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button>\n    <div class=\"vc-section-body\">\n        <div class=\"vc-section-inner vc-theory\">\n            <h3>ISO 14405-1 Specification Operators<\/h3>\n            <div class=\"vc-formula-box\" id=\"vc-katex-1\"><\/div>\n            <table class=\"vc-table\">\n                <thead><tr><th>Symbol<\/th><th>Name<\/th><th>Description<\/th><th>Typical Use<\/th><\/tr><\/thead>\n                <tbody>\n                    <tr><td>LP<\/td><td>Two-point size<\/td><td>Distance between two opposing points (default)<\/td><td>Caliper\/micrometer measurement<\/td><\/tr>\n                    <tr><td>GG<\/td><td>Least-squares size<\/td><td>Gaussian (best-fit) diameter<\/td><td>CMM, roundness tester<\/td><\/tr>\n                    <tr><td>GX<\/td><td>Max. inscribed size<\/td><td>Largest perfect cylinder that fits inside<\/td><td>Holes (functional gauge)<\/td><\/tr>\n                    <tr><td>GN<\/td><td>Min. circumscribed size<\/td><td>Smallest perfect cylinder that fits around<\/td><td>Shafts (functional gauge)<\/td><\/tr>\n                    <tr><td>CC<\/td><td>Circumference diameter<\/td><td>Diameter from circumference measurement<\/td><td>Tape measure<\/td><\/tr>\n                    <tr><td>CA<\/td><td>Area diameter<\/td><td>Diameter from cross-sectional area<\/td><td>Optical measurement<\/td><\/tr>\n                <\/tbody>\n            <\/table>\n            <div class=\"vc-info-box\"><p><strong>Default rule:<\/strong> If no specification operator is indicated, LP (two-point size) applies per ISO 14405-1. This is the traditional caliper\/micrometer measurement.<\/p><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<div class=\"vc-section\" id=\"vc-sec-related\">\n    <button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\ud83d\udd17<\/span><span class=\"vc-section-title\">Related Calculators<\/span><\/span><svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button>\n    <div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-related\">\n        <a class=\"vc-related-link\" href=\"\/calculators\/general-tolerances-iso2768-2\/\">ISO 2768-2 Tolerances<\/a>\n        <a class=\"vc-related-link\" href=\"\/calculators\/tolerance-independence-iso8015\/\">ISO 8015 Independence<\/a>\n        <a class=\"vc-related-link\" href=\"\/calculators\/gdt-tolerance-calculator\/\">GD&#038;T Calculator<\/a>\n        <a class=\"vc-related-link\" href=\"\/calculators\/tolerance-stack-calculator\/\">Tolerance Stack<\/a>\n    <\/div><\/div><\/div>\n<\/div>\n\n<div class=\"vc-section\" id=\"vc-sec-faq\">\n    <button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\u2753<\/span><span class=\"vc-section-title\">Frequently Asked Questions<\/span><\/span><svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button>\n    <div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-faq-list\" id=\"vc-faq-list\"><\/div><\/div><\/div>\n<\/div>\n\n<div class=\"vc-promo\"><div class=\"vc-promo-text\"><strong>Vibromera \u2014 Portable Balancing &amp; Vibration Analysis<\/strong><br>Professional field instruments and software.<\/div><a class=\"vc-promo-link\" href=\"https:\/\/vibromera.eu\/\" target=\"_blank\" rel=\"noopener\">Learn More<\/a><\/div>\n<footer class=\"vc-footer\"><p>\u00a9 2024\u20132025 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a> \u2014 Engineering Calculators<\/p><p style=\"font-size:12px;margin-top:4px;\">Based on ISO 14405-1 \/ ISO 286. Last updated: February 2025<\/p><div class=\"vc-footer-links\"><a href=\"\/calculators\/engineering-calculators\/\">All Calculators<\/a><a href=\"https:\/\/vibromera.eu\/contacts\/\">Contact<\/a><\/div><\/footer>\n<\/div>\n\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.11\/dist\/katex.min.js\"><\/script>\n<script>\n(function(){\n'use strict';\nvar SLUG='gps-tolerance-iso14405';\nfunction $(id){return document.getElementById(id);}\nfunction fmt(n,d){if(isNaN(n))return'\u2014';return n.toFixed(d===undefined?3:d);}\n\n\/* Simplified IT tolerance data (deviations in \u03bcm) for common nominal ranges *\/\n\/* Format: [minNom, maxNom, {fit: [es\/EI, ei\/ES]}] \u2014 values in \u03bcm *\/\nvar FITS={\n    H7:{type:'hole',ranges:[[1,3,10,0],[3,6,12,0],[6,10,15,0],[10,18,18,0],[18,30,21,0],[30,50,25,0],[50,80,30,0],[80,120,35,0],[120,180,40,0],[180,250,46,0],[250,315,52,0],[315,400,57,0]]},\n    H8:{type:'hole',ranges:[[1,3,14,0],[3,6,18,0],[6,10,22,0],[10,18,27,0],[18,30,33,0],[30,50,39,0],[50,80,46,0],[80,120,54,0],[120,180,63,0],[180,250,72,0],[250,315,81,0],[315,400,89,0]]},\n    H6:{type:'hole',ranges:[[1,3,6,0],[3,6,8,0],[6,10,9,0],[10,18,11,0],[18,30,13,0],[30,50,16,0],[50,80,19,0],[80,120,22,0],[120,180,25,0],[180,250,29,0],[250,315,32,0],[315,400,36,0]]},\n    g6:{type:'shaft',ranges:[[1,3,-2,-8],[3,6,-4,-12],[6,10,-5,-14],[10,18,-6,-17],[18,30,-7,-20],[30,50,-9,-25],[50,80,-10,-29],[80,120,-12,-34],[120,180,-14,-39],[180,250,-15,-44],[250,315,-17,-49],[315,400,-18,-54]]},\n    h6:{type:'shaft',ranges:[[1,3,0,-6],[3,6,0,-8],[6,10,0,-9],[10,18,0,-11],[18,30,0,-13],[30,50,0,-16],[50,80,0,-19],[80,120,0,-22],[120,180,0,-25],[180,250,0,-29],[250,315,0,-32],[315,400,0,-36]]},\n    k6:{type:'shaft',ranges:[[1,3,6,0],[3,6,9,1],[6,10,10,1],[10,18,12,1],[18,30,15,2],[30,50,18,2],[50,80,21,2],[80,120,25,3],[120,180,28,3],[180,250,33,4],[250,315,36,4],[315,400,40,4]]},\n    p6:{type:'shaft',ranges:[[1,3,12,6],[3,6,20,12],[6,10,24,15],[10,18,29,18],[18,30,35,22],[30,50,42,26],[50,80,51,32],[80,120,59,37],[120,180,68,43],[180,250,79,50],[250,315,88,56],[315,400,98,62]]},\n    js7:{type:'shaft',ranges:[[1,3,5,-5],[3,6,6,-6],[6,10,7.5,-7.5],[10,18,9,-9],[18,30,10.5,-10.5],[30,50,12.5,-12.5],[50,80,15,-15],[80,120,17.5,-17.5],[120,180,20,-20],[180,250,23,-23],[250,315,26,-26],[315,400,28.5,-28.5]]},\n    f7:{type:'shaft',ranges:[[1,3,-6,-16],[3,6,-10,-22],[6,10,-13,-28],[10,18,-16,-34],[18,30,-20,-41],[30,50,-25,-50],[50,80,-30,-60],[80,120,-36,-71],[120,180,-43,-83],[180,250,-50,-96],[250,315,-56,-108],[315,400,-62,-119]]},\n    e8:{type:'shaft',ranges:[[1,3,-14,-28],[3,6,-20,-38],[6,10,-25,-47],[10,18,-32,-59],[18,30,-40,-73],[30,50,-50,-89],[50,80,-60,-106],[80,120,-72,-126],[120,180,-85,-148],[180,250,-100,-172],[250,315,-110,-191],[315,400,-125,-214]]}\n};\n\nvar opDesc={LP:'Two-point size \u2014 measured between two diametrically opposing points (micrometer\/caliper)',GG:'Least-squares (Gaussian) size \u2014 best-fit circle\/cylinder diameter (CMM)',GX:'Maximum inscribed size \u2014 largest perfect form that fits inside the feature (functional hole size)',GN:'Minimum circumscribed size \u2014 smallest perfect form that fits around the feature (functional shaft size)',CC:'Circumference diameter \u2014 diameter calculated from circumference measurement (tape measure)',CA:'Area diameter \u2014 diameter calculated from cross-sectional area measurement'};\n\nfunction findDeviation(fitData,nom){\n    for(var i=0;i<fitData.ranges.length;i++){\n        var r=fitData.ranges[i];\n        if(nom>r[0]&&nom<=r[1]) return {upper:r[2],lower:r[3]};\n    }\n    return null;\n}\n\nfunction calculate(){\n    var nom=parseFloat($('vc-nominal').value);\n    var fit=$('vc-fit').value;\n    var op=$('vc-operator').value;\n    var env=$('vc-envelope').value;\n    if(!nom||nom<=0){$('vc-results').classList.remove('vc-visible');return;}\n\n    var fd=FITS[fit];\n    if(!fd){$('vc-results').classList.remove('vc-visible');return;}\n    var dev=findDeviation(fd,nom);\n    if(!dev){$('vc-r-spec').textContent='Size out of range';$('vc-results').classList.add('vc-visible');return;}\n\n    var upper=nom+dev.upper\/1000;\n    var lower=nom+dev.lower\/1000;\n    var band=(dev.upper-dev.lower)\/1000;\n\n    var specStr='\u2300'+nom+' '+fit;\n    if(op!=='LP') specStr+=' ('+op+')';\n    if(env==='yes') specStr+=' \u24ba';\n\n    $('vc-r-spec').textContent=specStr;\n    $('vc-r-upper').innerHTML=fmt(upper,3)+' <span class=\"vc-rcard-unit\">mm<\/span> <span class=\"vc-rcard-unit\">('+((dev.upper>=0)?'+':'')+dev.upper+' \u03bcm)<\/span>';\n    $('vc-r-lower').innerHTML=fmt(lower,3)+' <span class=\"vc-rcard-unit\">mm<\/span> <span class=\"vc-rcard-unit\">('+((dev.lower>=0)?'+':'')+dev.lower+' \u03bcm)<\/span>';\n    $('vc-r-band').innerHTML=fmt(band,3)+' <span class=\"vc-rcard-unit\">mm<\/span> <span class=\"vc-rcard-unit\">('+Math.abs(dev.upper-dev.lower)+' \u03bcm)<\/span>';\n    $('vc-r-opdesc').textContent=opDesc[op];\n    $('vc-results').classList.add('vc-visible');\n    saveHistory({nominal:nom,fit:fit,operator:op,envelope:env,_summary:'\u2300'+nom+' '+fit+' \u2192 '+fmt(lower,3)+'...'+fmt(upper,3)+' mm'});\n}\n\ndocument.querySelectorAll('.vc-preset-btn').forEach(function(btn){btn.addEventListener('click',function(e){e.preventDefault();$('vc-nominal').value=this.getAttribute('data-n');$('vc-fit').value=this.getAttribute('data-f');$('vc-operator').value=this.getAttribute('data-o');$('vc-envelope').value=this.getAttribute('data-e');calculate();});});\n$('vc-form').addEventListener('input',calculate);$('vc-form').addEventListener('change',calculate);\n\n$('vc-copy-btn').addEventListener('click',function(){var text='GPS Tolerance (ISO 14405-1)\\n\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\\nSpec: '+$('vc-r-spec').textContent+'\\nUpper: '+$('vc-r-upper').textContent+'\\nLower: '+$('vc-r-lower').textContent+'\\nBand: '+$('vc-r-band').textContent+'\\nOperator: '+$('vc-r-opdesc').textContent+'\\n\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\\nvibromera.eu';if(navigator.clipboard){navigator.clipboard.writeText(text).then(function(){var b=$('vc-copy-btn');b.classList.add('vc-copied');b.innerHTML='<svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><polyline points=\"20 6 9 17 4 12\"\/><\/svg> Copied!';setTimeout(function(){b.classList.remove('vc-copied');b.innerHTML='<svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><rect x=\"9\" y=\"9\" width=\"13\" height=\"13\" rx=\"2\"\/><path d=\"M5 15H4a2 2 0 01-2-2V4a2 2 0 012-2h9a2 2 0 012 2v1\"\/><\/svg> Copy';},2000);});}});\n\ndocument.querySelectorAll('.vc-section-toggle').forEach(function(btn){btn.addEventListener('click',function(){var s=this.closest('.vc-section');s.classList.toggle('vc-open');this.setAttribute('aria-expanded',s.classList.contains('vc-open'));});});\n\nvar faqData=[\n    {q:'What is GPS in dimensional metrology?',a:'<p>GPS (Geometrical Product Specifications) is a framework of ISO standards for specifying and verifying workpiece geometry. ISO 14405-1 specifically covers linear size tolerances and defines how size is specified and interpreted.<\/p>'},\n    {q:'What is the default size specification in ISO 14405-1?',a:'<p>The default specification operator is <strong>LP<\/strong> (two-point size) \u2014 measured between two diametrically opposing points. This is the traditional caliper\/micrometer measurement. If no modifier is shown on the drawing, LP applies.<\/p>'},\n    {q:'What are the special specification operators?',a:'<p>ISO 14405-1 defines: <strong>GG<\/strong> (Gaussian\/least-squares), <strong>GX<\/strong> (maximum inscribed, for holes), <strong>GN<\/strong> (minimum circumscribed, for shafts), <strong>CC<\/strong> (circumference diameter), <strong>CA<\/strong> (area diameter), and others.<\/p>'},\n    {q:'How does ISO 14405-1 relate to ISO 286?',a:'<p>ISO 286 defines the limits and fits system (IT grades, fundamental deviations). ISO 14405-1 defines HOW size is measured. Together they fully specify size: ISO 286 gives the numerical limits, ISO 14405-1 gives the measurement interpretation.<\/p>'},\n    {q:'What is the envelope requirement (\u24ba)?',a:'<p>The envelope requirement (\u24ba) requires the feature not to violate a perfect-form boundary at MMC. It links size and form \u2014 the feature must fit a perfect gauge at maximum material size. This is indicated by the circled E symbol.<\/p>'}\n];\nvar fl=$('vc-faq-list');faqData.forEach(function(f){fl.innerHTML+='<div class=\"vc-faq-item\"><button type=\"button\" class=\"vc-faq-q\"><span>'+f.q+'<\/span><svg class=\"vc-faq-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button><div class=\"vc-faq-a\"><div class=\"vc-faq-a-inner\">'+f.a+'<\/div><\/div><\/div>';});\nfl.addEventListener('click',function(e){var b=e.target.closest('.vc-faq-q');if(!b)return;b.closest('.vc-faq-item').classList.toggle('vc-open');});\n\nfunction saveHistory(e){var k='vc_history_'+SLUG;var a=[];try{a=JSON.parse(localStorage.getItem(k))||[];}catch(x){}e._ts=new Date().toISOString();a.unshift(e);if(a.length>10)a=a.slice(0,10);try{localStorage.setItem(k,JSON.stringify(a));}catch(x){}}\nfunction renderFormulas(){try{katex.render('\\\\text{Size} = \\\\text{Nominal} \\\\pm \\\\text{Deviation} \\\\quad [\\\\text{Operator: LP, GG, GX, GN, CC, CA}]',$('vc-katex-1'),{displayMode:true,throwOnError:false});}catch(e){}}\nfunction init(){renderFormulas();calculate();}\nif(document.readyState==='loading'){document.addEventListener('DOMContentLoaded',init);}else{init();}\n})();\n<\/script>\n","protected":false},"excerpt":{"rendered":"<p>Calculadora online gratuita de toler\u00e2ncia dimensional para GPS, em conformidade com a norma ISO 14405-1. Insira as dimens\u00f5es nominais e o ajuste para visualizar as especifica\u00e7\u00f5es, as especifica\u00e7\u00f5es padr\u00e3o versus as especiais e a interpreta\u00e7\u00e3o da toler\u00e2ncia.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100119","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/pt_br\/wp-json\/wp\/v2\/calculator\/100119","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/pt_br\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/pt_br\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/pt_br\/wp-json\/wp\/v2\/calculator\/100119\/revisions"}],"predecessor-version":[{"id":100433,"href":"https:\/\/vibromera.eu\/pt_br\/wp-json\/wp\/v2\/calculator\/100119\/revisions\/100433"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/pt_br\/wp-json\/wp\/v2\/media?parent=100119"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/pt_br\/wp-json\/wp\/v2\/categories?post=100119"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/pt_br\/wp-json\/wp\/v2\/tags?post=100119"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}