{"id":82,"date":"2017-01-20T16:59:59","date_gmt":"2017-01-20T15:59:59","guid":{"rendered":"http:\/\/laurenternes.net\/?p=82"},"modified":"2019-10-02T07:34:47","modified_gmt":"2019-10-02T06:34:47","slug":"assemblages-par-encoches-slot","status":"publish","type":"post","link":"https:\/\/laurenternes.net\/index.php\/2017\/01\/20\/assemblages-par-encoches-slot\/","title":{"rendered":"Assemblages par encoches (&#8220;slot&#8221;)"},"content":{"rendered":"<p>Avoir acc\u00e8s \u00e0 une d\u00e9coupeuse laser est un must pour tout bricoleur&#8230; amateur de fabrication num\u00e9rique. Les artisans qui aiment travailler la mati\u00e8re \u00e0 la seule agilit\u00e9 de leurs mains (et je les respecte) ne seront donc pas int\u00e9ress\u00e9s par cet article.<\/p>\n<p>La d\u00e9coupeuse laser est un merveilleux outil: elle permet de travailler avec pr\u00e9cision et r\u00e9p\u00e9tabilit\u00e9, ce qui est tr\u00e8s pr\u00e9cieux dans la phase de prototypage. Mais encore faut-il savoir l&#8217;utiliser.<\/p>\n<p>Cet article se concentre sur un assemblage bien pr\u00e9cis, r\u00e9alisable facilement avec une d\u00e9coupeuse laser: &#8220;l&#8217;enture \u00e0 mi-bois en T&#8221;. Moi, j&#8217;appelle \u00e7a &#8220;par encoche&#8221;, ou &#8220;par rainure&#8221;, mais je ne suis pas \u00e9b\u00e9niste.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-87\" src=\"https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture_explose-300x216.png\" alt=\"enture_explose\" width=\"300\" height=\"216\" srcset=\"https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture_explose-300x216.png 300w, https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture_explose-768x553.png 768w, https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture_explose-660x475.png 660w, https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture_explose.png 920w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/> <img loading=\"lazy\" class=\"alignnone size-medium wp-image-86\" src=\"https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture_assemble-300x216.png\" alt=\"enture_assemble\" width=\"300\" height=\"216\" srcset=\"https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture_assemble-300x216.png 300w, https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture_assemble-768x553.png 768w, https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture_assemble-660x475.png 660w, https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture_assemble.png 920w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Il s&#8217;agit donc d&#8217;un simple embo\u00eetement de 2 planches (ou panneaux), l&#8217;une dans l&#8217;autre, moyennant une rainure \u00e0 mi-hauteur.<\/p>\n<p>&#8220;Mais quelle difficult\u00e9 \u00e0 cela ?&#8221;, me direz-vous. Rien, tant que c&#8217;est \u00e0 angle droit.<br \/>\nIci, on va ajouter le calcul de la <strong>largeur de la rainure<\/strong>, en fonction de l&#8217;<strong>\u00e9paisseur<\/strong> de la planche, et de l&#8217;<strong>angle<\/strong> d&#8217;assemblage.<\/p>\n<h1>Formules<\/h1>\n<p>Comme la d\u00e9coupe des rainures est destin\u00e9e \u00e0 une d\u00e9coupeuse laser, il s&#8217;agit de d\u00e9coupe droite, perpendiculaire au plan du panneau.<\/p>\n<p>Voici le sch\u00e9ma de l&#8217;assemblage, vu &#8220;du dessus&#8221;:<\/p>\n<p><img loading=\"lazy\" class=\"wp-image-89 aligncenter\" src=\"https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture.png\" alt=\"enture\" width=\"502\" height=\"365\" srcset=\"https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture.png 741w, https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture-300x218.png 300w, https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture-660x480.png 660w\" sizes=\"(max-width: 502px) 100vw, 502px\" \/><\/p>\n<p>L\u00e9gende:<\/p>\n<ul>\n<li>T: \u00e9paisseur des planches<\/li>\n<li>a: angle entre les 2 planches<\/li>\n<li>L: largeur des rainures<\/li>\n<\/ul>\n<p><img loading=\"lazy\" class=\"size-medium wp-image-107 alignright\" src=\"https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture_L1-300x186.png\" alt=\"\" width=\"300\" height=\"186\" srcset=\"https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture_L1-300x186.png 300w, https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture_L1.png 317w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/>On a donc, pour <strong>L1<\/strong>:<\/p>\n<p><img class=\"mathtex-equation-editor\" src=\"http:\/\/chart.apis.google.com\/chart?cht=tx&amp;chl=T%3DL1.tan(a)\" alt=\"T=L1.tan(a)\" align=\"absmiddle\" \/><\/p>\n<p>et donc:<\/p>\n<p><img class=\"mathtex-equation-editor\" src=\"http:\/\/chart.apis.google.com\/chart?cht=tx&amp;chl=L1%3D%5Cfrac%7BT%7D%7Btan(a)%7D%3DT.%5Cfrac%7Bcos(a)%7D%7Bsin(a)%7D\" alt=\"L1=\\frac{T}{tan(a)}=T.\\frac{cos(a)}{sin(a)}\" align=\"absmiddle\" \/><\/p>\n<p><!--more--><img loading=\"lazy\" class=\"size-medium wp-image-108 alignright\" src=\"https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture_L2-300x190.png\" alt=\"\" width=\"300\" height=\"190\" srcset=\"https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture_L2-300x190.png 300w, https:\/\/laurenternes.net\/wp-content\/uploads\/2017\/01\/enture_L2.png 349w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/>et pour <strong>L2<\/strong>:<\/p>\n<p><img class=\"mathtex-equation-editor\" src=\"http:\/\/chart.apis.google.com\/chart?cht=tx&amp;chl=T%3DL2.sin(a)\" alt=\"T=L2.sin(a)\" align=\"absmiddle\" \/><\/p>\n<p>donc:<\/p>\n<p><img class=\"mathtex-equation-editor\" src=\"http:\/\/chart.apis.google.com\/chart?cht=tx&amp;chl=L2%3D%5Cfrac%7BT%7D%7Bsin(a)%7D\" alt=\"L2=\\frac{T}{sin(a)}\" align=\"absmiddle\" \/><\/p>\n<p><!--more-->soit au total, pour <strong>L<\/strong>:<\/p>\n<p><img class=\"mathtex-equation-editor\" src=\"http:\/\/chart.apis.google.com\/chart?cht=tx&amp;chl=L%3DL1%2BL2%3DT%5Cfrac%7Bcos(a)%7D%7Bsin(a)%7D%2B%5Cfrac%7BT%7D%7Bsin(a)%7D\" alt=\"L=L1+L2=T\\frac{cos(a)}{sin(a)}+\\frac{T}{sin(a)}\" align=\"absmiddle\" \/><\/p>\n<p>et donc:<\/p>\n<div class=\"box\"><img loading=\"lazy\" class=\"mathtex-equation-editor aligncenter\" src=\"http:\/\/chart.apis.google.com\/chart?cht=tx&amp;chl=L%3D%5Cfrac%7BT%7D%7Bsin(a)%7D(cos(a)%2B1)\" alt=\"L=\\frac{T}{sin(a)}(cos(a)+1)\" width=\"159\" height=\"38\" align=\"absmiddle\" \/><\/div>\n<p>On voit que pour un angle droit (90\u00b0): sin(90\u00b0) = 1, cos(90\u00b0) = 0, et on revient \u00e0 la simple formule L=T<\/p>\n<p>Et par exemple, pour un bois de 6mm d&#8217;\u00e9paisseur, avec un angle de 60 degr\u00e9s:<\/p>\n<p><img class=\"mathtex-equation-editor\" src=\"http:\/\/chart.apis.google.com\/chart?cht=tx&amp;chl=L%3D%5Cfrac%7B6mm%7D%7Bsin(60%5E%7Bo%7D)%7D(cos(60%5E%7Bo%7D)%2B1)%3D%5Cfrac%7B6%7D%7B%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%7D(%5Cfrac%7B1%7D%7B2%7D%2B1)%3D%5Cfrac%7B6.2%7D%7B%5Csqrt%7B3%7D%7D.%5Cfrac%7B3%7D%7B2%7D%3D6.%5Csqrt%7B3%7D%5Csimeq10.38mm%0A%20\" alt=\"L=\\frac{6mm}{sin(60^{o})}(cos(60^{o})+1)=\\frac{6}{\\frac{\\sqrt{3}}{2}}(\\frac{1}{2}+1)=\\frac{6.2}{\\sqrt{3}}.\\frac{3}{2}=6.\\sqrt{3}\\simeq10.38mm \" align=\"absmiddle\" \/><\/p>\n<h1>Pour aller plus loin<\/h1>\n<p>Et si les planches sont d&#8217;\u00e9paisseur diff\u00e9rentes ? (\u00e0 suivre&#8230;)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Avoir acc\u00e8s \u00e0 une d\u00e9coupeuse laser est un must pour tout bricoleur&#8230; amateur de fabrication num\u00e9rique. Les artisans qui aiment travailler la mati\u00e8re \u00e0 la seule agilit\u00e9 de leurs mains (et je les respecte) ne seront donc pas int\u00e9ress\u00e9s par cet article. La d\u00e9coupeuse laser est un merveilleux outil: elle permet de travailler avec pr\u00e9cision\u2026 <span class=\"read-more\"><a href=\"https:\/\/laurenternes.net\/index.php\/2017\/01\/20\/assemblages-par-encoches-slot\/\">Read More &raquo;<\/a><\/span><\/p>\n","protected":false},"author":1,"featured_media":87,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[7],"tags":[],"_links":{"self":[{"href":"https:\/\/laurenternes.net\/index.php\/wp-json\/wp\/v2\/posts\/82"}],"collection":[{"href":"https:\/\/laurenternes.net\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/laurenternes.net\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/laurenternes.net\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/laurenternes.net\/index.php\/wp-json\/wp\/v2\/comments?post=82"}],"version-history":[{"count":19,"href":"https:\/\/laurenternes.net\/index.php\/wp-json\/wp\/v2\/posts\/82\/revisions"}],"predecessor-version":[{"id":105,"href":"https:\/\/laurenternes.net\/index.php\/wp-json\/wp\/v2\/posts\/82\/revisions\/105"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/laurenternes.net\/index.php\/wp-json\/wp\/v2\/media\/87"}],"wp:attachment":[{"href":"https:\/\/laurenternes.net\/index.php\/wp-json\/wp\/v2\/media?parent=82"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/laurenternes.net\/index.php\/wp-json\/wp\/v2\/categories?post=82"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/laurenternes.net\/index.php\/wp-json\/wp\/v2\/tags?post=82"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}