{"id":16700,"date":"2025-04-02T13:49:10","date_gmt":"2025-04-02T08:19:10","guid":{"rendered":"https:\/\/civileng.helashop.lk\/?page_id=16700"},"modified":"2025-04-02T13:50:32","modified_gmt":"2025-04-02T08:20:32","slug":"ce3110","status":"publish","type":"page","link":"https:\/\/eng.pdn.ac.lk\/civileng\/ce3110\/","title":{"rendered":"CE3110"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"16700\" class=\"elementor elementor-16700\" data-elementor-post-type=\"page\">\n\t\t\t\t<div class=\"elementor-element elementor-element-4f4aceb e-con-full e-flex e-con e-parent\" data-id=\"4f4aceb\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-f4cb2b1 elementor-widget elementor-widget-html\" data-id=\"f4cb2b1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<style>\r\n    table {\r\n        border: 1px solid black;\r\n        font-family: Verdana;\r\n        font-size: 12pt;\r\n        border-collapse: collapse;\r\n        width: 100%;\r\n    }\r\n    td, th {\r\n        border: 1px solid black;\r\n        padding: 5px;\r\n        text-align: left;\r\n    }\r\n    @media screen and (max-width: 600px) {\r\n        table {\r\n            display: block;\r\n            overflow-x: auto;\r\n            white-space: nowrap;\r\n        }\r\n    }\r\n<\/style>\r\n\r\n<table style=\"border-color: black; font-family: Verdana; font-size: 12pt; text-indent: 0; border-collapse:collapse; margin-left:5.25pt;\" border=\"solid\" cellspacing=\"6\" cellpadding=\"5\">\r\n\r\n<tbody style=\"vertical-align: top; overflow: visible;\">\r\n\r\n<tr>\r\n<td width=\"267\">\r\n<p><strong>Semester:<\/strong><\/p>\r\n<\/td>\r\n<td colspan=\"8\" width=\"596\">\r\n<p>6<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"267\">\r\n<p><strong>Course Code<\/strong>:<\/p>\r\n<\/td>\r\n<td colspan=\"8\" width=\"596\">\r\n<p>CE3110<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"267\">\r\n<p><strong>Course Name<\/strong>:<\/p>\r\n<\/td>\r\n<td colspan=\"8\" width=\"596\">\r\n<p>Finite Element Methods in Solid Mechanics<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"267\">\r\n<p><strong>Credit Value:<\/strong><\/p>\r\n<\/td>\r\n<td colspan=\"8\" width=\"596\">\r\n<p>3 (Notional hours:150)<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"267\">\r\n<p><strong>Prerequisites:<\/strong><\/p>\r\n<\/td>\r\n<td colspan=\"8\" width=\"596\">\r\n<p>CE1130<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"267\">\r\n<p><strong>Core\/Optional<\/strong><\/p>\r\n<\/td>\r\n<td colspan=\"8\" width=\"596\">\r\n<p>Core<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td rowspan=\"2\" width=\"267\">\r\n<p><strong>Hourly Breakdown<\/strong><\/p>\r\n<\/td>\r\n<td width=\"89\">\r\n<p>Lecture hrs.<\/p>\r\n<\/td>\r\n<td colspan=\"2\" width=\"89\">\r\n<p>Tutorial hrs.<\/p>\r\n<\/td>\r\n<td colspan=\"2\" width=\"95\">\r\n<p>Practical hrs.<\/p>\r\n<\/td>\r\n<td width=\"123\">\r\n<p>Assignment hrs.<\/p>\r\n<\/td>\r\n<td colspan=\"2\" width=\"201\">\r\n<p>Independent Learning &amp; Assessment hrs.<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"89\">\r\n<p>30<\/p>\r\n<\/td>\r\n<td colspan=\"2\" width=\"89\">\r\n<p>5<\/p>\r\n<\/td>\r\n<td colspan=\"2\" width=\"95\">\r\n<p>-<\/p>\r\n<\/td>\r\n<td width=\"123\">\r\n<p>20<\/p>\r\n<\/td>\r\n<td colspan=\"2\" width=\"201\">\r\n<p>95<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"9\" width=\"864\">\r\n<p><strong>Course Aim: <\/strong>To introduce numerical methods for solving engineering problems.<\/p>\r\n\r\n<p><strong>Intended Learning Outcomes<\/strong>:<\/p>\r\n<p>On successful completion of the course, the students should be able to;<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>explain <\/strong>numerical methods in solid mechanics and their limitations.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>analyze <\/strong>discrete and continuum structural systems using the displacement based Finite Element (FE) method.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>develop <\/strong>a general computer code for analysis of basic structural systems.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>predict <\/strong>the complex structural system response by using commercially available Finite Element (FE) codes.<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"9\" width=\"864\">\r\n<p><strong>Course Content:<\/strong><\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>Introduction to approximate methods to solve basic engineering problems: <\/strong>Variational Formulations for 1D problems (weak formulations): Galerkin Method; Rayleigh-Ritz .<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>Introduction of finite element methods: <\/strong>Displacement based finite element method and force based finite element method; discretization error, proof of convergence and convergence rate.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>Displacement based finite element formulation of truss element and its applications: <\/strong>Derivation of element stiffness matrix for a spring\/bar element referring local coordinate system; shape (interpolation) functions; 2D transformation of element stiffness matrix from local to global coordinate system; assembly of element stiffness matrices into global stiffness matrix; boundary conditions; solution techniques; evaluation of member forces; implementation using a computer code.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>Displacement based finite element formulation of frame element and its applications: <\/strong>Review of beam theory, derivation of stiffness matrix for frame element, shape (interpolation) functions, equivalent nodal forces, evaluation of stress resultants, implementation using a computer code.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>Finite element formulation of 2D plane stress\/strain element: <\/strong>Basic equations; derivation of stiffness matrix for a 2D plane stress\/strain element: constant strain triangular (CST) element, isoparametric formulation of 4-node quadrilateral element, and higher-order elements; equivalent nodal forces; Gaussian quadrature for numerical integration of 2D elements, reduced integration and Gauss points.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>Finite element formulation of 3D solid element: <\/strong>Isoparametric formulation of 8-node solid element, and higher-order elements; equivalent nodal forces; Gaussian quadrature for numerical integration of 3D elements, reduced integration and Gauss points.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>Modeling and analysis of complex structural systems using general purpose finite element programs: <\/strong>Pre-processor, input data, graphic interfaces, mesh generation, automatic renumbering for efficiency, processors, storage schemes, post-processors, output devices, graphic support, refining solution, use of finite element methods in CAD\/CAE.<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"9\" width=\"864\">\r\n<p><strong>Teaching \/Learning Methods:<\/strong><\/p>\r\n<p>Classroom lectures, computer based exercises, hands on experience with software<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"9\" width=\"864\">\r\n<p><strong>Assessment Strategy:<\/strong><\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr align=\"center\">\r\n<td colspan=\"3\" width=\"383\">\r\n<p>Continuous Assessment<\/p>\r\n\r\n<p>50%<\/p>\r\n<\/td>\r\n<td colspan=\"6\" width=\"480\">\r\n<p>Final Assessment<\/p>\r\n\r\n<p>50%<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"3\" width=\"383\">\r\n<p>Details: <\/p>\r\n<p>Assignments\/Quizzes\/Tutorials&nbsp;&nbsp; 25% <\/p>\r\n<p>Mid Semester Examination&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 25%<\/p>\r\n<\/td>\r\n<td colspan=\"2\" width=\"150\">\r\n<p>Theory (%)<\/p>\r\n\r\n<p>50<\/p>\r\n<\/td>\r\n<td colspan=\"3\" width=\"164\">\r\n<p>Practical (%)<\/p>\r\n\r\n<p>-<\/p>\r\n<\/td>\r\n<td width=\"166\">\r\n<p>Other (%)<\/p>\r\n\r\n<p>-<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"9\" width=\"864\">\r\n<p><strong>Recommended Reading<\/strong>:<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; Klaus-J&uuml;rgen Bathe. (2014). <em>Finite Element Procedures<\/em>, 2nd edition, Prentice Hall, Pearson Education, Inc.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; Logan, D. (2007). <em>First Course in Finite Element Method<\/em>, 4th edition, Nelson Engineering.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; Desai, C. (2005). <em>Introduction to the Finite Element Method<\/em>, 1st edition, CBS Publisher.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; Zienkiewicz, O. C., Taylor R.L., (1989\/1990), <em>The Finite Element Method in Structural and Continuum Mechanics<\/em>, 4th edition, McGraw-Hill.<\/p>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Semester: 6 Course Code: CE3110 Course Name: Finite Element Methods in Solid Mechanics Credit Value: 3 (Notional hours:150) Prerequisites: CE1130 Core\/Optional Core Hourly Breakdown Lecture hrs. Tutorial hrs. Practical hrs. Assignment hrs. Independent Learning &amp; Assessment hrs. 30 5 &#8211; &hellip; <\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-16700","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages\/16700","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/comments?post=16700"}],"version-history":[{"count":0,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages\/16700\/revisions"}],"wp:attachment":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/media?parent=16700"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}