{
    "id": 6630,
    "date": "2023-04-26T10:12:59",
    "date_gmt": "2023-04-26T08:12:59",
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        "rendered": "https:\/\/www.sustainablemediterraneanconstruction.eu\/?page_id=6630"
    },
    "modified": "2023-04-26T10:18:51",
    "modified_gmt": "2023-04-26T08:18:51",
    "slug": "si-2019-03-049",
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    "link": "https:\/\/www.sustainablemediterraneanconstruction.eu\/it\/edizioni-speciali\/si-2019-03\/si-2019-03-049\/",
    "title": {
        "rendered": "A FIRST STEP INTO NONLINEAR STATICS"
    },
    "content": {
        "rendered": "<div data-elementor-type=\"wp-page\" data-elementor-id=\"6630\" class=\"elementor elementor-6630\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-236c667 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"236c667\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4776f99\" data-id=\"4776f99\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-855f026 elementor-widget elementor-widget-page-title\" data-id=\"855f026\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"page-title.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\n\t\t<div class=\"hfe-page-title hfe-page-title-wrapper elementor-widget-heading\">\n\n\t\t\t\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">\n\t\t\t\t\t\t\t\t\n\t\t\t\tA FIRST STEP INTO NONLINEAR STATICS  \n\t\t\t<\/h1> \n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-523efe1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"523efe1\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-e89344d\" data-id=\"e89344d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4997769 elementor-widget elementor-widget-text-editor\" data-id=\"4997769\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h6 style=\"display: inline;\">Autori:\u00a0<\/h6><h2 style=\"display: inline;\">Enrico Babilio, Luca Buoninconti<\/h2>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-aa532b6 elementor-widget elementor-widget-text-editor\" data-id=\"aa532b6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h6 style=\"display: inline;\">Keywords:\u00a0<\/h6><h4 style=\"display: inline;\">nonlinear statics, geometric nonlinearity, large displacements, mechanical nonlinearity, strain measures<\/h4>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-4c92b99\" data-id=\"4c92b99\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7397444 elementor-widget elementor-widget-text-editor\" data-id=\"7397444\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><div class='w3eden'><!-- WPDM Link Template: List Group -->\n\n    <div class=\"list-group wpdm-lt-card\" style=\"margin: 0 0 15px 0\">\n        <a href=\"https:\/\/www.sustainablemediterraneanconstruction.eu\/it\/download\/si-2019-03-049\/\" class=\"d-block\">\n                    <\/a>\n\n        <div class=\"list-group-item d-flex justify-content-between align-items-center\">\n            <h3 class=\"p-0 m-0 elipsis\"><a href='https:\/\/www.sustainablemediterraneanconstruction.eu\/it\/download\/si-2019-03-049\/'>SI-2019-03-049<\/a><\/h3>\n        <\/div>\n        <div class=\"list-group-item d-flex justify-content-between align-items-cente\">\n            File Size <span class=\"badge\">530 KB<\/span>\n        <\/div>\n        <div class=\"list-group-item d-flex justify-content-between align-items-cente\">\n            Downloads <span class=\"badge\">11<\/span>\n        <\/div>\n        <div class=\"list-group-item d-flex justify-content-between align-items-center\">\n                        <a class='wpdm-download-link download-on-click btn btn-primary' rel='nofollow' href='#' data-downloadurl=\"https:\/\/www.sustainablemediterraneanconstruction.eu\/it\/download\/si-2019-03-049\/?wpdmdl=6633&#038;refresh=6adb712d0766f1792766253\">Download<\/a>\n        <\/div>\n    <\/div>\n\n\n<\/div><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-9578cf9\" data-id=\"9578cf9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-15db6a7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"15db6a7\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6bf2a63\" data-id=\"6bf2a63\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-dc69665 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"dc69665\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-d2ede10 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d2ede10\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-b35e857\" data-id=\"b35e857\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-31fc9ca elementor-widget elementor-widget-heading\" data-id=\"31fc9ca\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Abstract<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7ae5a7f elementor-widget elementor-widget-text-editor\" data-id=\"7ae5a7f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>In the introductory courses in Statics and Structural Mechanics, the role played by nonlinearities is often left out, to make more room to details in linear problems, which can be faced with relatively simple mathematical tools. Behavior of structures is appropriately modeled as linear in many circumstances, although we have to take nonlinearities into account whenever stresses or strains become large enough, or members have very small thickness or even very large slenderness, and so on. Hence, we could say that behavior of structures is inherently nonlinear, and linear approximation is valid provided specific requirements on the order of magnitude of given ingredients of the problem under consideration are fulfilled. The scope of this brief contribution is reveal, through a paradigmatic example, how nonlinearity naturally emerges.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6cf3801 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6cf3801\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-630bc9b\" data-id=\"630bc9b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ad8c5d7 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"ad8c5d7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-10d56e0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"10d56e0\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-777e7b0\" data-id=\"777e7b0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8c533d3 elementor-widget elementor-widget-heading\" data-id=\"8c533d3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Anteprima<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4a906be elementor-widget elementor-widget-text-editor\" data-id=\"4a906be\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div id=\"dflip_post_meta_box_shortcode\" class=\"postbox\"><div class=\"inside\"><div class=\"dflip-tabs normal-tabs\"><div id=\"dflip-tab-content-normal\" class=\"dflip-tab-content dflip-active\"><div id=\"dflip_post_meta_box_shortcode\" class=\"postbox\"><div class=\"inside\"><div class=\"dflip-tabs normal-tabs\"><div id=\"dflip-tab-content-normal\" class=\"dflip-tab-content dflip-active\"><div class=\"_df_book df-lite\" id=\"df_6634\"  _slug=\"si-2019-03-049\" data-title=\"si-2019-03-049\" wpoptions=\"true\" thumbtype=\"\" ><\/div><script class=\"df-shortcode-script\" nowprocket type=\"application\/javascript\">window.option_df_6634 = {\"outline\":[],\"backgroundColor\":\"#ededed\",\"autoEnableOutline\":\"false\",\"autoEnableThumbnail\":\"false\",\"overwritePDFOutline\":\"false\",\"direction\":\"1\",\"pageSize\":\"0\",\"pageMode\":\"1\",\"soundEnable\":\"false\",\"source\":\"https:\\\/\\\/www.sustainablemediterraneanconstruction.eu\\\/wp-content\\\/uploads\\\/2023\\\/04\\\/SI-2019-03-049.pdf\",\"wpOptions\":\"true\"}; if(window.DFLIP && window.DFLIP.parseBooks){window.DFLIP.parseBooks();}<\/script><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-9e39c51\" data-id=\"9e39c51\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9fb1e3f elementor-widget elementor-widget-text-editor\" data-id=\"9fb1e3f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"919\" class=\"elementor elementor-919\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-46c87b9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"46c87b9\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1638e4b\" data-id=\"1638e4b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5011586 elementor-widget elementor-widget-text-editor\" data-id=\"5011586\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>SMC Special Issue N.03 2019<\/h2>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9e68e62 elementor-widget elementor-widget-toggle\" data-id=\"9e68e62\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<h2 id=\"elementor-tab-title-1661\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1661\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><i class=\"fas fa-caret-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><i class=\"elementor-toggle-icon-opened fas fa-caret-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Indice dei contenuti<\/a>\n\t\t\t\t\t<\/h2>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-1661\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1661\"><p><a href=\"\/it\/edizioni-speciali\/si-2019-03\/\"><strong>SMC MAGAZINE SPECIAL ISSUE N. THREE\/2019<\/strong><\/a><\/p><p><a href=\"\/it\/edizioni-speciali\/si-2019-03\/si-2019-03-000\/\">WHOLE BOOK<\/a><\/p><p>001_<a href=\"\/it\/edizioni-speciali\/si-2019-03\/si-2019-03-001\/\">COVER AND INDEX<\/a><\/p><p>009_<a href=\"\/it\/edizioni-speciali\/si-2019-03\/si-2019-03-009\/\"> Introduction<\/a> <br \/><em>Paola De Joanna<\/em><\/p><p><strong>PART I<\/strong><br \/><strong>TENSILE MEMBRANE TODAY<\/strong><\/p><p>017_<a href=\"\/it\/edizioni-speciali\/si-2019-03\/si-2019-03-017\/\">Membranes: a challenge for Environmental Sustainability<\/a><br \/><em>Luca Buoninconti<\/em><\/p><p>027_<a href=\"\/it\/edizioni-speciali\/si-2019-03\/si-2019-03-027\/\">Architectural Membranes for improving the functional performance of buildings<\/a><br \/><em>Paulo Mendon\u00e7a, Racquel Macieira<\/em><\/p><p>039_<a href=\"\/it\/edizioni-speciali\/si-2019-03\/si-2019-03-039\/\">Educational Objectives from an Architectural Studio on Nature &amp; Space Structures<\/a> <br \/><em>Nikos P. Tsinikas, Dimitris Antoniou, George Dimopoulos, Dimitris Kontaxakis, Ioanna Symeonidou<\/em><\/p><p>049_<a href=\"\/it\/edizioni-speciali\/si-2019-03\/si-2019-03-049\/\">A first step into Nonlinear Statics<\/a><br \/><em>Enrico Babilio, Luca Buoninconti<\/em><\/p><p><strong>PART II<\/strong><br \/><strong>SUSTAINABILITY AND TECHNOLOGICAL INNOVATION<\/strong><\/p><p>059_<a href=\"\/it\/edizioni-speciali\/si-2019-03\/si-2019-03-059\/\">Tensile architecture and sustainable approach<\/a> <br \/><em>Dora Francese<\/em><\/p><p>079_<a href=\"\/it\/edizioni-speciali\/si-2019-03\/si-2019-03-079\/\">Frei Otto and Tensile Structures<\/a> <br \/><em>Sergio Pone<\/em><\/p><p>087_<a href=\"\/it\/edizioni-speciali\/si-2019-03\/si-2019-03-087\/\">The healing colture<\/a> <br \/><em>Michele Castaldo<\/em><\/p><p>091_<a href=\"\/it\/edizioni-speciali\/si-2019-03\/si-2019-03-091\/\">In search of lightness. Past, present and future of membrane space structures<\/a> <br \/><em>Giuseppe Vaccaro<\/em><\/p><p><strong>PART III<\/strong><br \/><strong>APPLICATION ON A CASE STUDY EXPERIENCE<\/strong><\/p><p>109_<a href=\"\/it\/edizioni-speciali\/si-2019-03\/si-2019-03-109\/\">PROJECTS<\/a><\/p><p>116_<a href=\"\/it\/edizioni-speciali\/si-2019-03\/si-2019-03-116\/\">LIST OF AUTHORS<\/a><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f391a5b elementor-widget elementor-widget-shortcode\" data-id=\"f391a5b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\">\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"7047\" class=\"elementor elementor-7047\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-702a7ec elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"702a7ec\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-feda018\" data-id=\"feda018\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f992429 elementor-widget elementor-widget-text-editor\" data-id=\"f992429\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5>L&#8217;ultimo numero della Rivista<\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0b3b331 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