{"id":2365,"date":"2018-02-26T15:43:33","date_gmt":"2018-02-26T12:43:33","guid":{"rendered":"https:\/\/ishik.edu.iq\/conf\/iec\/?p=2365"},"modified":"2018-02-23T17:45:36","modified_gmt":"2018-02-23T14:45:36","slug":"iec2018-18","status":"publish","type":"post","link":"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/","title":{"rendered":"ANALYSIS OF ELASTIC BEAMS ON LINEAR AND NONLINEAR FOUNDATIONS USING FINITE DIFFERENCE METHOD"},"content":{"rendered":"<p style=\"text-align: center;\"><span style=\"color: #800000;\"><strong>4th International Engineering Conference on Developments in Civil &amp; Computer Engineering Applications (IEC2018)<\/strong><\/span><\/p>\n<div class=\"page\" title=\"Page 1\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<p><strong>Title<\/strong>:\u00a0ANALYSIS OF ELASTIC BEAMS ON LINEAR AND NONLINEAR FOUNDATIONS USING FINITE DIFFERENCE METHOD<\/p>\n<p><strong>Authors<\/strong>: Saad Essa<\/p>\n<p><strong>DOI<\/strong>:<strong>\u00a0<\/strong>10.23918\/iec2018.18<\/p>\n<p><strong>Abstract:\u00a0<\/strong>An approximate method is developed to analyze the deflection in beams and beam- column by solving the differential equation for the elastic deformation of beam and beam-column. The analysis is performed using the central difference of finite difference method for the Euler-Bernoulli beam and beam-column supported on an elastic, nonlinear foundation with rigid or elastic discrete supports. To make a verification of the results, Laplace Transformation method is used to solve the elastic differential equation of beam and beam-column based on linear elastic supports and the results are compared with the finite difference method. Two types of beams are selected, simply supported and fixed-fixed with five elastic supports of an idealized soil. In the nonlinear idealization, the division of force into many levels are assumed and based on these forces, the equivalent displacements are obtained from an assumed power law equation by using the finite difference method. Central finite difference scheme has a second order is used throughout the numerical analysis with five nonlinear behavior of springs separated by an equal distance between them.<\/p>\n<p><strong>Keywords<\/strong>: Finite difference method, Euler-Bernoulli beam, Laplace transformation.<\/p>\n<p>[button href=&#8221;https:\/\/conferences.tiu.edu.iq\/iec\/wp-content\/uploads\/2018\/02\/iec2018.18.pdf&#8221; size=&#8221;medium&#8221; textcolor=&#8221;#ffffff&#8221;]Full Paper (PDF)[\/button]<\/p>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>4th International Engineering Conference on Developments in Civil &amp; Computer Engineering Applications (IEC2018) Title:\u00a0ANALYSIS OF ELASTIC BEAMS ON LINEAR AND NONLINEAR FOUNDATIONS USING FINITE DIFFERENCE METHOD Authors: Saad Essa DOI:\u00a010.23918\/iec2018.18 Abstract:\u00a0An approximate method is developed to analyze the deflection in beams and beam- column by solving the differential equation for the elastic deformation of beam &hellip; <\/p>\n","protected":false},"author":23,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-2365","post","type-post","status-publish","format-standard","hentry","category-iec2018-proceedings-book"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>ANALYSIS OF ELASTIC BEAMS ON LINEAR AND NONLINEAR FOUNDATIONS USING FINITE DIFFERENCE METHOD -<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ANALYSIS OF ELASTIC BEAMS ON LINEAR AND NONLINEAR FOUNDATIONS USING FINITE DIFFERENCE METHOD -\" \/>\n<meta property=\"og:description\" content=\"4th International Engineering Conference on Developments in Civil &amp; Computer Engineering Applications (IEC2018) Title:\u00a0ANALYSIS OF ELASTIC BEAMS ON LINEAR AND NONLINEAR FOUNDATIONS USING FINITE DIFFERENCE METHOD Authors: Saad Essa DOI:\u00a010.23918\/iec2018.18 Abstract:\u00a0An approximate method is developed to analyze the deflection in beams and beam- column by solving the differential equation for the elastic deformation of beam &hellip;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Tishkuniversity\/?ref=bookmarks\" \/>\n<meta property=\"article:published_time\" content=\"2018-02-26T12:43:33+00:00\" \/>\n<meta name=\"author\" content=\"Web Admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@tishkuni\" \/>\n<meta name=\"twitter:site\" content=\"@tishkuni\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Web Admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/\"},\"author\":{\"name\":\"Web Admin\",\"@id\":\"https:\/\/conferences.tiu.edu.iq\/iec\/#\/schema\/person\/29db1c5dd3318fe7aa99165dc7b6c203\"},\"headline\":\"ANALYSIS OF ELASTIC BEAMS ON LINEAR AND NONLINEAR FOUNDATIONS USING FINITE DIFFERENCE METHOD\",\"datePublished\":\"2018-02-26T12:43:33+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/\"},\"wordCount\":248,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/conferences.tiu.edu.iq\/iec\/#organization\"},\"articleSection\":[\"IEC2018 Proceedings Book\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/\",\"url\":\"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/\",\"name\":\"ANALYSIS OF ELASTIC BEAMS ON LINEAR AND NONLINEAR FOUNDATIONS USING FINITE DIFFERENCE METHOD -\",\"isPartOf\":{\"@id\":\"https:\/\/conferences.tiu.edu.iq\/iec\/#website\"},\"datePublished\":\"2018-02-26T12:43:33+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/conferences.tiu.edu.iq\/iec\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"ANALYSIS OF ELASTIC BEAMS ON LINEAR AND NONLINEAR FOUNDATIONS USING FINITE DIFFERENCE METHOD\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/conferences.tiu.edu.iq\/iec\/#website\",\"url\":\"https:\/\/conferences.tiu.edu.iq\/iec\/\",\"name\":\"TIU - IEC 2020\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/conferences.tiu.edu.iq\/iec\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/conferences.tiu.edu.iq\/iec\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/conferences.tiu.edu.iq\/iec\/#organization\",\"name\":\"Tishk International University\",\"url\":\"https:\/\/conferences.tiu.edu.iq\/iec\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/conferences.tiu.edu.iq\/iec\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/conferences.tiu.edu.iq\/iec\/wp-content\/uploads\/2021\/09\/cropped-cropped-cropped-8IEC2-e1765454092479-1-1.png\",\"contentUrl\":\"https:\/\/conferences.tiu.edu.iq\/iec\/wp-content\/uploads\/2021\/09\/cropped-cropped-cropped-8IEC2-e1765454092479-1-1.png\",\"width\":116,\"height\":63,\"caption\":\"Tishk International University\"},\"image\":{\"@id\":\"https:\/\/conferences.tiu.edu.iq\/iec\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/Tishkuniversity\/?ref=bookmarks\",\"https:\/\/x.com\/tishkuni\",\"https:\/\/www.instagram.com\/tishk.international.university\/\",\"https:\/\/www.youtube.com\/channel\/UCQRKNIvqcvKLa7DLbWVvR7Q\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/conferences.tiu.edu.iq\/iec\/#\/schema\/person\/29db1c5dd3318fe7aa99165dc7b6c203\",\"name\":\"Web Admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/conferences.tiu.edu.iq\/iec\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/3a47b9231d151155cd33bd25d059ecb52841805eb3d30eec2e06be3ffe6ee961?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/3a47b9231d151155cd33bd25d059ecb52841805eb3d30eec2e06be3ffe6ee961?s=96&d=mm&r=g\",\"caption\":\"Web Admin\"},\"url\":\"https:\/\/conferences.tiu.edu.iq\/iec\/author\/web_admin\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"ANALYSIS OF ELASTIC BEAMS ON LINEAR AND NONLINEAR FOUNDATIONS USING FINITE DIFFERENCE METHOD -","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/","og_locale":"en_US","og_type":"article","og_title":"ANALYSIS OF ELASTIC BEAMS ON LINEAR AND NONLINEAR FOUNDATIONS USING FINITE DIFFERENCE METHOD -","og_description":"4th International Engineering Conference on Developments in Civil &amp; Computer Engineering Applications (IEC2018) Title:\u00a0ANALYSIS OF ELASTIC BEAMS ON LINEAR AND NONLINEAR FOUNDATIONS USING FINITE DIFFERENCE METHOD Authors: Saad Essa DOI:\u00a010.23918\/iec2018.18 Abstract:\u00a0An approximate method is developed to analyze the deflection in beams and beam- column by solving the differential equation for the elastic deformation of beam &hellip;","og_url":"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/","article_publisher":"https:\/\/www.facebook.com\/Tishkuniversity\/?ref=bookmarks","article_published_time":"2018-02-26T12:43:33+00:00","author":"Web Admin","twitter_card":"summary_large_image","twitter_creator":"@tishkuni","twitter_site":"@tishkuni","twitter_misc":{"Written by":"Web Admin","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/#article","isPartOf":{"@id":"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/"},"author":{"name":"Web Admin","@id":"https:\/\/conferences.tiu.edu.iq\/iec\/#\/schema\/person\/29db1c5dd3318fe7aa99165dc7b6c203"},"headline":"ANALYSIS OF ELASTIC BEAMS ON LINEAR AND NONLINEAR FOUNDATIONS USING FINITE DIFFERENCE METHOD","datePublished":"2018-02-26T12:43:33+00:00","mainEntityOfPage":{"@id":"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/"},"wordCount":248,"commentCount":0,"publisher":{"@id":"https:\/\/conferences.tiu.edu.iq\/iec\/#organization"},"articleSection":["IEC2018 Proceedings Book"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/","url":"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/","name":"ANALYSIS OF ELASTIC BEAMS ON LINEAR AND NONLINEAR FOUNDATIONS USING FINITE DIFFERENCE METHOD -","isPartOf":{"@id":"https:\/\/conferences.tiu.edu.iq\/iec\/#website"},"datePublished":"2018-02-26T12:43:33+00:00","breadcrumb":{"@id":"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/conferences.tiu.edu.iq\/iec\/iec2018-18\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/conferences.tiu.edu.iq\/iec\/"},{"@type":"ListItem","position":2,"name":"ANALYSIS OF ELASTIC BEAMS ON LINEAR AND NONLINEAR FOUNDATIONS USING FINITE DIFFERENCE METHOD"}]},{"@type":"WebSite","@id":"https:\/\/conferences.tiu.edu.iq\/iec\/#website","url":"https:\/\/conferences.tiu.edu.iq\/iec\/","name":"TIU - IEC 2020","description":"","publisher":{"@id":"https:\/\/conferences.tiu.edu.iq\/iec\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/conferences.tiu.edu.iq\/iec\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/conferences.tiu.edu.iq\/iec\/#organization","name":"Tishk International University","url":"https:\/\/conferences.tiu.edu.iq\/iec\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/conferences.tiu.edu.iq\/iec\/#\/schema\/logo\/image\/","url":"https:\/\/conferences.tiu.edu.iq\/iec\/wp-content\/uploads\/2021\/09\/cropped-cropped-cropped-8IEC2-e1765454092479-1-1.png","contentUrl":"https:\/\/conferences.tiu.edu.iq\/iec\/wp-content\/uploads\/2021\/09\/cropped-cropped-cropped-8IEC2-e1765454092479-1-1.png","width":116,"height":63,"caption":"Tishk International University"},"image":{"@id":"https:\/\/conferences.tiu.edu.iq\/iec\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/Tishkuniversity\/?ref=bookmarks","https:\/\/x.com\/tishkuni","https:\/\/www.instagram.com\/tishk.international.university\/","https:\/\/www.youtube.com\/channel\/UCQRKNIvqcvKLa7DLbWVvR7Q"]},{"@type":"Person","@id":"https:\/\/conferences.tiu.edu.iq\/iec\/#\/schema\/person\/29db1c5dd3318fe7aa99165dc7b6c203","name":"Web Admin","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/conferences.tiu.edu.iq\/iec\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/3a47b9231d151155cd33bd25d059ecb52841805eb3d30eec2e06be3ffe6ee961?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/3a47b9231d151155cd33bd25d059ecb52841805eb3d30eec2e06be3ffe6ee961?s=96&d=mm&r=g","caption":"Web Admin"},"url":"https:\/\/conferences.tiu.edu.iq\/iec\/author\/web_admin\/"}]}},"_links":{"self":[{"href":"https:\/\/conferences.tiu.edu.iq\/iec\/wp-json\/wp\/v2\/posts\/2365","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/conferences.tiu.edu.iq\/iec\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/conferences.tiu.edu.iq\/iec\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/conferences.tiu.edu.iq\/iec\/wp-json\/wp\/v2\/users\/23"}],"replies":[{"embeddable":true,"href":"https:\/\/conferences.tiu.edu.iq\/iec\/wp-json\/wp\/v2\/comments?post=2365"}],"version-history":[{"count":1,"href":"https:\/\/conferences.tiu.edu.iq\/iec\/wp-json\/wp\/v2\/posts\/2365\/revisions"}],"predecessor-version":[{"id":2366,"href":"https:\/\/conferences.tiu.edu.iq\/iec\/wp-json\/wp\/v2\/posts\/2365\/revisions\/2366"}],"wp:attachment":[{"href":"https:\/\/conferences.tiu.edu.iq\/iec\/wp-json\/wp\/v2\/media?parent=2365"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/conferences.tiu.edu.iq\/iec\/wp-json\/wp\/v2\/categories?post=2365"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/conferences.tiu.edu.iq\/iec\/wp-json\/wp\/v2\/tags?post=2365"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}