{"id":778,"date":"2026-09-19T09:15:09","date_gmt":"2026-09-19T06:15:09","guid":{"rendered":"https:\/\/calcsbank.com\/?p=778"},"modified":"2026-07-25T12:13:12","modified_gmt":"2026-07-25T09:13:12","slug":"calculator-moment-of-inertia","status":"publish","type":"post","link":"https:\/\/calcsbank.com\/fr\/calculator-moment-of-inertia\/","title":{"rendered":"Calculateur de Moment d&rsquo;Inertie \u2013 Formes Courantes &#8212;  ### \u0411\u043b\u043e\u043a 10 \u2014 \u041a\u043e\u0434 (Fran\u00e7ais) \u00ab\u00a0`html <div class=\"container\"> <div class=\"calc-wrapper\"> <p style=\"margin-bottom:15px;font-size:15px;\">Calculez le moment d&rsquo;inertie (second moment de surface) pour les formes g\u00e9om\u00e9triques courantes.<\/p> <div style=\"display:grid;grid-template-columns:1fr 1fr;gap:15px;margin-bottom:12px;\"> <div> <label for=\"shape-fr\">Forme<\/label> <select id=\"shape-fr\"> <option value=\"rectangle\">Rectangle<\/option> <option value=\"circle\">Cercle<\/option> <option value=\"tube\">Tube (Cercle Creux)<\/option> <option value=\"triangle\">Triangle<\/option> <option value=\"rectangle-hollow\">Rectangle Creux<\/option> <\/select> <\/div> <div> <label for=\"axis-fr\">Axe<\/label> <select id=\"axis-fr\"> <option value=\"centroid\">Par le Centro\u00efde<\/option> <option value=\"base\">\u00c0 la Base<\/option> <\/select> <\/div> <\/div> <div style=\"display:grid;grid-template-columns:1fr 1fr 1fr;gap:15px;margin-bottom:12px;\" id=\"dimensions-fr\"> <div> <label for=\"dim1-fr\">Dimension 1<\/label> <input type=\"number\" id=\"dim1-fr\" value=\"10\" step=\"0.1\" min=\"0.001\"> <\/div> <div> <label for=\"dim2-fr\">Dimension 2<\/label> <input type=\"number\" id=\"dim2-fr\" value=\"5\" step=\"0.1\" min=\"0.001\"> <\/div> <div> <label for=\"dim3-fr\">Dimension 3<\/label> <input type=\"number\" id=\"dim3-fr\" value=\"2\" step=\"0.1\" min=\"0.001\"> <\/div> <\/div> <div style=\"display:flex;gap:10px;flex-wrap:wrap;margin-bottom:12px;\"> <button id=\"calculate-fr\">Calculer<\/button> <button id=\"reset-fr\" class=\"secondary\">R\u00e9initialiser<\/button> <\/div> <div class=\"result-box\" id=\"result-fr\"> <pre id=\"output-fr\">S\u00e9lectionnez une forme et entrez les dimensions, puis cliquez sur Calculer.<\/pre> <\/div> <\/div> <\/div> <script> (function(){ var shapeSelect=document.getElementById('shape-fr'); var axisSelect=document.getElementById('axis-fr'); var d1=document.getElementById('dim1-fr'); var d2=document.getElementById('dim2-fr'); var d3=document.getElementById('dim3-fr'); var output=document.getElementById('output-fr'); function updateLabels(){var shape=shapeSelect.value;var labels={rectangle:['Largeur (b)','Hauteur (h)',''],circle:['Rayon (r)','',''],tube:['Rayon Ext\u00e9rieur (R)','Rayon Int\u00e9rieur (r)',''],triangle:['Base (b)','Hauteur (h)',''],'rectangle-hollow':['Largeur Ext\u00e9rieure','Hauteur Ext\u00e9rieure','\u00c9paisseur']}; var l=labels[shape]||['Dimension 1','Dimension 2','Dimension 3']; document.querySelector('label[for=\"dim1-fr\"]').textContent=l[0]; document.querySelector('label[for=\"dim2-fr\"]').textContent=l[1]; document.querySelector('label[for=\"dim3-fr\"]').textContent=l[2];} function fmt(v){if(Math.abs(v)<1e-9)return '0';if(Number.isInteger(v))return String(v);return v.toFixed(4);} function fmtExp(v){if(Math.abs(v)<1e-6||Math.abs(v)>1e6)return v.toExponential(4);return v.toFixed(4);} shapeSelect.addEventListener('change',updateLabels);axisSelect.addEventListener('change',updateLabels); document.getElementById('calculate-fr').addEventListener('click',function(){ var shape=shapeSelect.value;var axis=axisSelect.value; var a=parseFloat(d1.value);var b=parseFloat(d2.value);var c=parseFloat(d3.value); if(isNaN(a)||a<=0||isNaN(b)||b<=0||isNaN(c)||c<=0){output.textContent='Veuillez entrer des dimensions positives valides.';return;} var I=0;var axisLabel=''; var shapeLabel={rectangle:'Rectangle',circle:'Cercle',tube:'Tube Creux',triangle:'Triangle','rectangle-hollow':'Rectangle Creux'}[shape]||shape; var dims=''; if(shape==='rectangle'){var w=a;var h=b;if(axis==='centroid'){I=(w*Math.pow(h,3))\/12;axisLabel='axe centro\u00efdal';}else{I=(w*Math.pow(h,3))\/3;axisLabel='axe \u00e0 la base';}dims='Largeur = '+fmt(w)+', Hauteur = '+fmt(h);} else if(shape==='circle'){var r=a;if(axis==='centroid'){I=(Math.PI*Math.pow(r,4))\/4;axisLabel='axe centro\u00efdal';}else{I=(5*Math.PI*Math.pow(r,4))\/4;axisLabel='axe \u00e0 la base (tangent)';}dims='Rayon = '+fmt(r);} else if(shape==='tube'){var R=a;var r=b;if(axis==='centroid'){I=(Math.PI\/4)*(Math.pow(R,4)-Math.pow(r,4));axisLabel='axe centro\u00efdal';}else{I=(Math.PI\/4)*(Math.pow(R,4)-Math.pow(r,4))+Math.PI*(Math.pow(R,2)-Math.pow(r,2))*Math.pow(R,2);axisLabel='axe \u00e0 la base (tangent)';}dims='R ext = '+fmt(R)+', r int = '+fmt(r);} else if(shape==='triangle'){var base=a;var h=b;if(axis==='centroid'){I=(base*Math.pow(h,3))\/36;axisLabel='axe centro\u00efdal';}else{I=(base*Math.pow(h,3))\/12;axisLabel='axe \u00e0 la base';}dims='Base = '+fmt(base)+', Hauteur = '+fmt(h);} else if(shape==='rectangle-hollow'){var W=a;var H=b;var t=c;if(t*2>=W||t*2>=H){output.textContent='L'\u00e9paisseur est trop grande (2t doit \u00eatre < largeur et hauteur).';return;} var w=W-2*t;var h=H-2*t;if(axis==='centroid'){I=(W*Math.pow(H,3)-w*Math.pow(h,3))\/12;axisLabel='axe centro\u00efdal';}else{I=(W*Math.pow(H,3)-w*Math.pow(h,3))\/3;axisLabel='axe \u00e0 la base';}dims='Ext '+fmt(W)+'\u00d7'+fmt(H)+', t='+fmt(t);} var result='Calculateur de Moment d'Inertien'; result+='====================================nn'; result+='Forme: '+shapeLabel+'n'; result+='Axe: '+axisLabel+'n'; result+='Dimensions: '+dims+'nn'; result+='<strong>I = '+fmtExp(I)+'<\/strong> unit\u00e9s\u2074nn'; result+='Formule utilis\u00e9e:n'; if(shape==='rectangle'){result+=axis==='centroid'?'I = b\u00b7h\u00b3 \/ 12':'I = b\u00b7h\u00b3 \/ 3';} else if(shape==='circle'){result+=axis==='centroid'?'I = \u03c0\u00b7r\u2074 \/ 4':'I = 5\u03c0\u00b7r\u2074 \/ 4';} else if(shape==='tube'){result+=axis==='centroid'?'I = \u03c0\u00b7(R\u2074\u2212r\u2074) \/ 4':'I = \u03c0\u00b7(R\u2074\u2212r\u2074)\/4 + \u03c0\u00b7(R\u00b2\u2212r\u00b2)\u00b7R\u00b2';} else if(shape==='triangle'){result+=axis==='centroid'?'I = b\u00b7h\u00b3 \/ 36':'I = b\u00b7h\u00b3 \/ 12';} else if(shape==='rectangle-hollow'){result+=axis==='centroid'?'I = (B\u00b7H\u00b3 \u2212 b\u00b7h\u00b3) \/ 12':'I = (B\u00b7H\u00b3 \u2212 b\u00b7h\u00b3) \/ 3';} output.innerHTML=result;}); document.getElementById('reset-fr').addEventListener('click',function(){shapeSelect.value='rectangle';axisSelect.value='centroid';d1.value='10';d2.value='5';d3.value='2';updateLabels();output.textContent='S\u00e9lectionnez une forme et entrez les dimensions, puis cliquez sur Calculer.';}); updateLabels(); })(); <\/script>"},"content":{"rendered":"<ol>\n<li>S\u00e9lectionnez la <strong>Forme<\/strong> (Rectangle, Cercle, Tube, Triangle ou Rectangle Creux).<\/li>\n<li>S\u00e9lectionnez l&rsquo;<strong>Axe<\/strong> (Par le Centro\u00efde ou \u00c0 la Base).<\/li>\n<li>Entrez les <strong>Dimensions<\/strong> requises (les \u00e9tiquettes changent selon la forme).<\/li>\n<li>Cliquez sur <strong>Calculer<\/strong> pour calculer le moment d&rsquo;inertie.<\/li>\n<li>Le r\u00e9sultat affiche la valeur en unit\u00e9s\u2074 et la formule utilis\u00e9e.<\/li>\n<li>Cliquez sur <strong>R\u00e9initialiser<\/strong> pour revenir aux valeurs d&rsquo;exemple par d\u00e9faut.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>S\u00e9lectionnez la Forme (Rectangle, Cercle, Tube, Triangle ou Rectangle Creux). S\u00e9lectionnez l&rsquo;Axe (Par le Centro\u00efde ou \u00c0 la Base). Entrez les Dimensions requises (les \u00e9tiquettes changent selon la forme). Cliquez sur Calculer pour calculer le&#8230;<\/p>\n<div class=\"continue-reading\"><a class=\"more-link\" href=\"https:\/\/calcsbank.com\/fr\/calculator-moment-of-inertia\/\">Read More &rarr;<\/a><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[5],"tags":[],"class_list":["post-778","post","type-post","status-publish","format-standard","hentry","category-mathematical-calculators"],"acf":[],"_links":{"self":[{"href":"https:\/\/calcsbank.com\/fr\/wp-json\/wp\/v2\/posts\/778","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/calcsbank.com\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/calcsbank.com\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/calcsbank.com\/fr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/calcsbank.com\/fr\/wp-json\/wp\/v2\/comments?post=778"}],"version-history":[{"count":6,"href":"https:\/\/calcsbank.com\/fr\/wp-json\/wp\/v2\/posts\/778\/revisions"}],"predecessor-version":[{"id":784,"href":"https:\/\/calcsbank.com\/fr\/wp-json\/wp\/v2\/posts\/778\/revisions\/784"}],"wp:attachment":[{"href":"https:\/\/calcsbank.com\/fr\/wp-json\/wp\/v2\/media?parent=778"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/calcsbank.com\/fr\/wp-json\/wp\/v2\/categories?post=778"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/calcsbank.com\/fr\/wp-json\/wp\/v2\/tags?post=778"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}