{"id":20846,"date":"2025-07-28T10:24:44","date_gmt":"2025-07-28T04:54:44","guid":{"rendered":"https:\/\/eng.pdn.ac.lk\/civileng\/?page_id=20846"},"modified":"2025-07-29T10:14:59","modified_gmt":"2025-07-29T04:44:59","slug":"ce307","status":"publish","type":"page","link":"https:\/\/eng.pdn.ac.lk\/civileng\/ce307\/","title":{"rendered":"CE307"},"content":{"rendered":"\t\t
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Finite Element Methods in Solid Mechanics- CE307 <\/h2><\/span><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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Credits : 3<\/p>\n

Prerequisites : CE201<\/span><\/p>\n

Compulsory\/Optional : Compulsory<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Aim(s)<\/th>\n<\/tr>\n<\/thead>\n
To introduce approximate methods used in analysing civil engineering problems.<\/span><\/td>\n<\/tr>\n<\/tbody>\n
Intended Learning Outcomes<\/th>\n<\/tr>\n<\/thead>\n
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On successful completion of the course, the students should be able to;<\/span><\/p>\n

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  1. Explain the different approximate methods and their limitations for analysis of civil engineering problems.<\/li>\n
  2. Analyse basic 1D and 2D civil engineering problems by developing a computer program based on finite element method.<\/li>\n
  3. Model and analyse engineering problems by using commercially available Finite Element (FE) software.<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n
Course content\/Course description<\/th>\n<\/tr>\n<\/thead>\n
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  1. Introduction to approximate methods to solve basic engineering problems :<\/a> Variational methods: Rayleigh-Ritz; finite difference method; finite element method<\/li>\n
  2. Displacement based finite element formulation for truss structures :<\/a> 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; computer implementation using a computer program<\/li>\n
  3. Displacement based finite element formulation for frame structures :<\/a> Review of beam theory, derivation of stiffness matrix for frame element, shape (interpolation) functions, equivalent nodal forces, evaluation of stress resultants, computer implementation using a computer program<\/li>\n
  4. Finite element formulation for 2D plane stress\/strain problem : <\/a>Basic equations; derivation of stiffness matrix for a 2D plane stress\/strain elements: constant strain triangular (CST) element, bi-linear rectangular element, isoperimetric formulation and 4-node quadrilateral element, and higher-order elements; equivalent nodal forces; Gauss quadrature numerical integration and Gauss points, convergence criteria, discretization error and convergence rate<\/li>\n
  5. Introduction to general purpose finite element programs :<\/a> Pre-processor, input data, graphic interfaces, mesh generation, renumbering for efficiency, processors, storage schemes, post-processors, output devices, graphic support, refining the solution, use of finite element methods in CAD\/CAE, applications of general purpose finite element programs<\/li>\n<\/ol>\n<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n
Recommended Texts<\/th>\n<\/tr>\n<\/thead>\n
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  1. Logan, D 2007, First Course in Finite Element Method, 4th edn, Nelson Engineering.<\/li>\n
  2. Desai, C 2005, Introduction to the Finite Element Method, 1st edn, CBS Publisher.<\/li>\n
  3. Weaver, W and Gere, JM 2004, Matrix Analysis of Framed Structures, 2nd edn, Springer.<\/li>\n<\/ol>\n<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
    \n\n\n\n\n\n\n\n\n
    Time Allocation<\/th>\nHours<\/th>\n<\/tr>\n<\/thead>\n
    Lectures<\/td>\n36<\/td>\n<\/tr>\n
    Tutorials<\/td>\n04<\/td>\n<\/tr>\n
    Practical<\/span><\/span><\/td>\n–<\/td>\n<\/tr>\n
    Assignments<\/td>\n10<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
     <\/div>\n
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    Assessment<\/th>\nPercentage Marks<\/th>\n<\/tr>\n<\/thead>\n
    In-course<\/td>\n<\/tr>\n
    Assignments\/Quizzes<\/span><\/td>\n20<\/td>\n<\/tr>\n
    Mid Semester Examination<\/td>\n30<\/td>\n<\/tr>\n
    End-semester<\/strong><\/td>\n50<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/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\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

    Finite Element Methods in Solid Mechanics- CE307 Credits : 3 Prerequisites : CE201 Compulsory\/Optional : Compulsory Aim(s) To introduce approximate methods used in analysing civil engineering problems. Intended Learning Outcomes On successful completion of the course, the students should be able … <\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-20846","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages\/20846","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\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/comments?post=20846"}],"version-history":[{"count":0,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages\/20846\/revisions"}],"wp:attachment":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/media?parent=20846"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}