# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2021/2022

### Information in the Degree Programme Tables may still be subject to change in response to Covid-19

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# Undergraduate Course: The Finite Element Method 5 (CIVE11029)

 School School of Engineering College College of Science and Engineering Credit level (Normal year taken) SCQF Level 11 (Year 5 Undergraduate) Availability Available to all students SCQF Credits 10 ECTS Credits 5 Summary The finite element method is an indispensable tool for engineers in all disciplines. This course introduces students to the fundamental theory of the finite element method as a general tool for numerically solving differential equations for a wide range of engineering problems. Field problems described by the Laplace, and Poisson equations are presented first and all steps of the FE formulation are described. Specific applications in heat transfer are demonstrated. The application of the method to elasticity problems is then developed from fundamental principles. Specific classes of problems are then discussed based on abstractions and idealisations of 3D solids, such as plane stress and strain, Euler-Bernoulli and Timoshenko beams and Kirchoff and Mindlin-Reissner plates and shells. Special topics such as multiple constraints and substructuring are introduced. Course description Lectures: L1 Introduction L2 Recap of the direct stiffness method L3-L4: Approximation and weighted residuals L5-L6: Rayleigh-Ritz (variational) methods L7-L8: Heat transfer and general Poisson problems L9-L10: Poisson problems in two and three dimensions L11-L12: Elastostatics and thermal stress analysis L13-L14: Static condensation and multi-freedom constraints L15-L16: Beam and plate bending L17-L18: Revision This is a postgraduate level finite element course which builds on the introductory course "FEM for Solids and Structures". The subject is approached in a more general sense in a relatively more mathematical framework. Many topics from the rich FEM literature are presented preferring breadth over depth. The course is primarily intended for MSc students and those undergraduates who are fascinated by the subject and would like to pursue higher degrees in the field of computational mechanics. Accreditation of Higher Education Programmes Learning Outcomes: SM2m, SM5m, EA1b, EA2, G1 (Definite); EA3m, P4 (Possible)
 Pre-requisites Students MUST have passed: Finite Element Methods for Solids and Structures 4 (CIVE10022) Co-requisites Prohibited Combinations Other requirements None
 Pre-requisites This course can only be taken by students with prior experience of Advanced Structural Analysis. Visiting students must discuss their experience with the Course Organiser before they will be permitted to enroll on the course High Demand Course? Yes
 Academic year 2021/22, Available to all students (SV1) Quota:  None Course Start Semester 2 Timetable Timetable Learning and Teaching activities (Further Info) Total Hours: 100 ( Programme Level Learning and Teaching Hours 2, Directed Learning and Independent Learning Hours 98 ) Assessment (Further Info) Written Exam 60 %, Coursework 40 %, Practical Exam 0 % Additional Information (Assessment) The assessment will be made on the basis of: Intermittent assessment 40%. Degree examination 60% Feedback Verbal feedback on the examples at the student's request. Written feedback on the coursework. Exam Information Exam Diet Paper Name Hours & Minutes Main Exam Diet S2 (April/May) CIVE11029 The Finite Element Method 5 2:00
 On completion of this course, the student will be able to: Produce FEM based numerical discretisations of mathematical descriptions (differential equations) of simple problems in continuum mechanics;Use FEM for solving simple steady and transient field problems using a standard software package;Use FEM to produce a reliable prediction of displacements and stresses in linear elastic bodies of relevance to engineering practice using a standard software package;Make a critical assessment of FEM calculations.
 Recommended reading: J. N. Reddy, An Introduction to the Finite Element Method, 3rd ed., McGraw-Hill, 2005 E. G. Thompson, Introduction to the Finite Element Method - Theory, Programming and Applications, John Wiley and Sons, 2004. Background reading: O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method Set, 7th ed., Butterworth-Heinemann, 2013. K. J. Bathe, Finite Element Procedures, Prentice Hall, 1996.
 Graduate Attributes and Skills Application of Mathematical concepts, Computer Modelling skills, Interpreting design problems. Keywords Numerical methods,computational mechanics
 Course organiser Dr Stefanos Papanicolopulos Tel: (0131 6)50 7214 Email: S.Papanicolopulos@ed.ac.uk Course secretary Miss Margaret Robertson Tel: (0131 6)50 5565 Email: margaret.robertson@ed.ac.uk
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