{"id":7890,"date":"2020-08-31T18:08:04","date_gmt":"2020-08-31T16:08:04","guid":{"rendered":"http:\/\/www.maffeis.it\/?p=7890"},"modified":"2021-02-11T22:56:56","modified_gmt":"2021-02-11T21:56:56","slug":"bam-analytical-approach","status":"publish","type":"post","link":"https:\/\/www.maffeis.it\/index.php\/2020\/08\/31\/bam-analytical-approach\/","title":{"rendered":"BAM ANALYTICAL APPROACH"},"content":{"rendered":"<p><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-sizes-top:0px;--awb-border-sizes-bottom:0px;--awb-border-sizes-left:0px;--awb-border-sizes-right:0px;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-bottom:0px;--awb-background-color:#ffffffff;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_1 1_1 fusion-one-full fusion-column-first fusion-column-last\" style=\"--awb-bg-size:cover;--awb-margin-top:-30px;--awb-margin-bottom:30px;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-column-content-centered\"><div class=\"fusion-column-content\"><div class=\"fusion-text fusion-text-1\"><p style=\"text-align: center;\"><span style=\"display: block; font-size: 36pt; color: #000000; margin-top: 0px; margin-bottom: 0px; letter-spacing: 1.5px; line-height: 50px;\">Sharing of general loading in double glazed units<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"display: block; font-size: 20px; color: #000000; margin-top: 0px; margin-bottom: 40px; letter-spacing: 1px; line-height: 25px;\">The BAM analytical approach<\/span><\/p>\n<\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion_builder_column_1_6 1_6 fusion-one-sixth fusion-column-first fusion-no-small-visibility fusion-animated\" style=\"--awb-padding-top:0px;--awb-bg-size:cover;width:13.3333%; margin-right: 4%;\" data-animationType=\"slideInLeft\" data-animationDuration=\"1.0\" data-animationOffset=\"top-into-view\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-column-wrapper-legacy\"><div class=\"fusion-image-element in-legacy-container\" style=\"--awb-caption-title-font-family:var(--h2_typography-font-family);--awb-caption-title-font-weight:var(--h2_typography-font-weight);--awb-caption-title-font-style:var(--h2_typography-font-style);--awb-caption-title-size:var(--h2_typography-font-size);--awb-caption-title-transform:var(--h2_typography-text-transform);--awb-caption-title-line-height:var(--h2_typography-line-height);--awb-caption-title-letter-spacing:var(--h2_typography-letter-spacing);\"><span class=\" fusion-imageframe imageframe-none imageframe-1 hover-type-none\"><img decoding=\"async\" width=\"200\" height=\"76\" title=\"CGC7\" src=\"https:\/\/www.maffeis.it\/wp-content\/uploads\/2020\/02\/CGC7-200x76.png\" alt class=\"img-responsive wp-image-7895\"\/><\/span><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-2 fusion_builder_column_2_3 2_3 fusion-two-third\" style=\"--awb-bg-size:cover;width:65.3333%; margin-right: 4%;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-2\"><p style=\"text-align: justify;\">Double Glazed Units (DGUs) consist of two glass panes held together by structural edge seals.<\/p>\n<p style=\"text-align: justify;\">Calculation methods for DGUs consider that actions applied on one pane develop effects in all the panes, due to the coupling from the entrapped gas.<\/p>\n<p style=\"text-align: justify;\">Various methods have been proposed in standards to evaluate this <em>load sharing<\/em>, which depends upon the stiffness of the glass panes, the thicknesses of the spacer, and the size of the DGU.<\/p>\n<p style=\"text-align: justify;\">A comprehensive analytical formulation, the Betti\u2019s Analytical Method (BAM), has been recently proposed to calculate the load sharing in DGUs of any shape, composed by glass panes of arbitrary thickness, with various support conditions at the borders and various types of external actions, including concentrated and line loads.<\/p>\n<p style=\"text-align: justify;\">Simple expressions can determine the gas pressure as a function of a universal shape function, which coincides with the deformed surface of a simply supported plate, of the same shape of the DGU, under uniformly distributed load. Here, comparisons are made with numerical analyses, performed by implementing an <em>ad hoc<\/em> routine in the software Straus7, developed by Maffeis Engineering, where the deflection of the glass panels is iteratively calculated until the volume enclosed reaches a value compatible with the pressure exerted by the gas. The numerical routine, which is part of an integrated parametric approach to the fa\u00e7ade&#8217;s design, allows precise calculations for any kind of build-up, panel shapes, and load conditions.<\/p>\n<\/div><div class=\"fusion-widget-area awb-widget-area-element fusion-widget-area-1 fusion-content-widget-area\" style=\"--awb-title-size:24px;--awb-title-color:#000000;--awb-padding:0px 0px 0px 0px;\"><section id=\"search-2\" class=\"widget widget_search\" style=\"border-radius: 1;overflow:hidden;\">\t\t<form role=\"search\" class=\"searchform fusion-search-form  fusion-live-search fusion-search-form-clean\" method=\"get\" action=\"https:\/\/www.maffeis.it\/\">\n\t\t\t<div class=\"fusion-search-form-content\">\n\n\t\t\t\t\n\t\t\t\t<div class=\"fusion-search-field search-field\">\n\t\t\t\t\t<label><span class=\"screen-reader-text\">Search for:<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<input type=\"search\" class=\"s fusion-live-search-input\" name=\"s\" id=\"fusion-live-search-input-0\" autocomplete=\"off\" placeholder=\"Search...\" required aria-required=\"true\" aria-label=\"Search...\"\/>\n\t\t\t\t\t\t\t\t\t\t\t<\/label>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"fusion-search-button search-button\">\n\t\t\t\t\t<input type=\"submit\" class=\"fusion-search-submit searchsubmit\" aria-label=\"Search\" value=\"&#xf002;\" \/>\n\t\t\t\t\t\t\t\t\t\t<div class=\"fusion-slider-loading\"><\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\n\t\t\t<\/div>\n\n\n\t\t\t\t\t\t\t<div class=\"fusion-search-results-wrapper\"><div class=\"fusion-search-results\"><\/div><\/div>\n\t\t\t\n\t\t<\/form>\n\t\t<\/section><div class=\"fusion-additional-widget-content\"><\/div><\/div><div class=\"fusion-text fusion-text-3\"><p><a href=\"https:\/\/journals.open.tudelft.nl\/cgc\/article\/view\/4484\">Read the full article<\/a> on Challenging Glass 7<\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-3 fusion_builder_column_1_6 1_6 fusion-one-sixth fusion-column-last fusion-animated\" style=\"--awb-padding-top:0px;--awb-bg-size:cover;width:13.3333%;\" data-animationType=\"slideInRight\" data-animationDuration=\"1.0\" data-animationOffset=\"top-into-view\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-4\"><p style=\"text-align: left;\"><span style=\"color: #000000; font-size: 14pt; font-family: arial, helvetica, sans-serif;\">Authors<\/span><\/p>\n<\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-clearfix\" style=\"float:left;margin-top:-10px;margin-bottom:20px;width:100%;max-width:130px;\"><div class=\"fusion-separator-border sep-single sep-solid\" style=\"--awb-height:20px;--awb-amount:20px;--awb-sep-color:#b9bfcc;border-color:#b9bfcc;border-top-width:1px;\"><\/div><\/div><div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-builder-row fusion-builder-row-inner fusion-row\"><div class=\"fusion-layout-column fusion_builder_column_inner fusion-builder-nested-column-0 fusion_builder_column_inner_1_1 1_1 fusion-one-full fusion-column-first fusion-column-last\" style=\"--awb-bg-size:cover;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-column-wrapper-legacy\"><div class=\"fusion-text fusion-text-5\"><p><strong><span style=\"font-size: 8pt;\">Gianni Royer-Carfagni<\/span><\/strong><br \/>\n<strong><span style=\"font-size: 8pt;\">Laura Galuppi<\/span><\/strong><br \/>\n<span style=\"font-size: 8pt;\">Department of Engineering and Architecture<\/span><br \/>\n<span style=\"font-size: 8pt;\">University of Parma | Italy<\/span><\/p>\n<p><strong><span style=\"font-size: 8pt;\">Massimo Maffeis<\/span><\/strong><br \/>\n<strong><span style=\"font-size: 8pt;\">Luca Barbieri<\/span><\/strong><br \/>\n<span style=\"font-size: 8pt;\">Maffeis Engineering | Italy<\/span><\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-2 nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-background-position:left top;--awb-border-sizes-top:0px;--awb-border-sizes-bottom:0px;--awb-border-sizes-left:0px;--awb-border-sizes-right:0px;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:0%;--awb-padding-bottom:0%;--awb-margin-top:0px;--awb-margin-bottom:-80px;--awb-background-color:#ebeced;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-4 fusion_builder_column_1_6 1_6 fusion-one-sixth fusion-column-first fusion-no-small-visibility\" style=\"--awb-bg-blend:overlay;--awb-bg-size:cover;width:13.3333%; 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