Undergraduate Course: Computer Methods in Structural Engineering 3 (CIVE10018)

Course Outline
School	School of Engineering	College	College of Science and Engineering
Course type	Standard	Availability	Available to all students
Credit level (Normal year taken)	SCQF Level 10 (Year 3 Undergraduate)	Credits	20
Home subject area	Civil	Other subject area	None
Course website	None	Taught in Gaelic?	No
Course description	This course introduces computational matrix methods and the finite element method as a tool for numerical simulation with an introduction to the mathematics of matrices (Linear Algebra).

Entry Requirements
Pre-requisites	Students MUST have passed: Structural Mechanics 2A (SCEE08002) AND Structural Mechanics 2B (CIVE08010)	Co-requisites	Students MUST also take: Theory of Structures 3 (CIVE09015)
Prohibited Combinations	Students MUST NOT also be taking Computer Methods for Mechanical Engineering 3 (MECE09024)	Other requirements	None
Additional Costs	None

Information for Visiting Students
Pre-requisites	Structural Mechanics/Analysis to 2nd year undergraduate level or similar
Displayed in Visiting Students Prospectus?	No

Course Delivery Information

Delivery period: 2010/11 Semester 2, Not available to visiting students (SS1)						WebCT enabled: No		Quota: 0
Location	Activity	Description	Weeks	Monday	Tuesday	Wednesday	Thursday	Friday
King's Buildings	Lecture		1-11		14:00 - 15:50
King's Buildings	Lecture		1-11				14:00 - 15:50
King's Buildings	Tutorial		1-11		16:10 - 17:00
King's Buildings	Laboratory		1-11					09:00 - 10:50
First Class	Week 1, Tuesday, 14:00 - 15:50, Zone: King's Buildings. Lecture Theatre 1, Sanderson Building
Exam Information
Exam Diet	Paper Name		Hours:Minutes	Stationery Requirements		Comments
Main Exam Diet S2 (April/May)			2:00	2 x 8 sides / 2 x graph		c/w MECE09024. Open book. Double desks

Delivery period: 2010/11 Semester 2, Available to all students (SV1)						WebCT enabled: Yes		Quota: None
Location	Activity	Description	Weeks	Monday	Tuesday	Wednesday	Thursday	Friday
King's Buildings	Lecture		1-11		14:00 - 15:50
King's Buildings	Lecture		1-11				14:00 - 15:50
King's Buildings	Tutorial		2-11		16:10 - 17:00
King's Buildings	Laboratory		2-11					09:00 - 10:50
First Class	Week 1, Tuesday, 14:00 - 15:50, Zone: King's Buildings. Lecture Theatre 1, Sanderson Building
Exam Information
Exam Diet	Paper Name		Hours:Minutes	Stationery Requirements		Comments
Main Exam Diet S2 (April/May)			2:00	2 x 8 sides / 2 x graph		c/w MECE09024. Single desks

Summary of Intended Learning Outcomes
By the end of the course, the student should be able to: - describe the basic steps and concepts of matrix methods of structural analysis and the finite element analysis of structures; - identify and understand all the various matrix operations involved in the process; - use the method in the solution of two dimensional simple elastic structural engineering problems, carry out checks to assess the correctness of the output, and interpret results.

Assessment Information
Coursework (40%) and degree examination (60%)

Special Arrangements
None

Additional Information
Academic description	Not entered
Syllabus	Segment 1 Matrix structural analysis Lectures (4 hours per week); Tutorials (1 hour per week); Computer lab exercises, and computer lab projects (1 project in Segment 1 - Method Methods, and 2 projects in Segment 2 - Finite element method) L1-2 Introduction to basic concepts; Basic matrix operations L3-4 Fundamental structural analysis principles and indeterminacy L5-6 Stiffness and flexibility; Flexibility method and beam example; Introduction to MASTAN (or a similar stiffness method-based structural analysis program) L7-8 Stiffness method fundamentals; Stiffness method for beams with the unit displacement approach L9-10 Stiffness method with unit displacement approach for beams (continued); Computer oriented direct stiffness method fundamentals L11-12 Direct stiffness method for beams L13-14 Direct stiffness method for trusses L15-16 Direct stiffness method for frames L17-18 Stiffness method with unit displacement approach for the trusses and frames. Summary and revision Segment - 2 Finite Element Method L1 Introduction Course outline; areas of application of the finite element (FE) method; examples of some problems for which FE analysis has been used. L2 FE terminology and steps Introduction to FE terminology; steps of the analysis using an assumed displacement field approach for linear elastic analysis of structures. L3 Input to and Output from a FE program 1 Feeding a finite element program (ABAQUS) with geometric, physical and loading information. L4 Input to and Output from a FE program 2 Understanding and interpreting results from a FE program. L5 FE Modelling Introduction to plane stress, plane strain, axisymmetric, and plate bending problems; degrees of freedom; stress-strain and strain-displacement relations. L6 Virtual Work Basis of Finite Element Method: 1 Definition of generic displacements, body forces, nodal displacements, and nodal actions; displacement shape functions with simple examples; relating generic displacements, strains, and stresses to nodal displacements. L7 Virtual Work Basis of Finite Element Method: 2 Derivation of FE equilibrium equations using the virtual work principle; examples of derivation of stiffness and equivalent load vector for a two node truss element. L8 2D Rectangular Elements: 1 Lagrange and Serendipity family of elements; normalised coordinates; shape functions for the bi-linear element. L9 2D Rectangular Elements: 2 Evaluation of element matrices; examples of specific cases. L10 Isoparametric Elements: 1 Isoparametric concept; Mapping rectangular elements to distorted quadrilateral elements. L11 Isoparametric Elements: 2 Derivation of element matrices; the need to use a Jacobian matrix. L12 Isoparametric Elements: 3 Numerical integration for computing FE matrices. L13 Practical Considerations in a FE Analysis Factors influencing the choice of a model, element and order of Gauss integration; concept of reduced integration and zero energy modes; acceptable distortion of elements; choice of mesh; convergence requirements; adaptive meshing. L14 Revision Segment 1 Matrix structural analysis Tutorial 1 Static and kinematic indeterminacy & Flexibility and stiffness coefficients Tutorial 2 Flexibility method problems Tutorial 3 Stiffness method problems - beams Tutorial 4 Stiffness method problems - beams (cont&�d) and simple trusses Tutorial 5 Stiffness method problems - trusses and frames Segment 2 Finite element method Tutorial 1 Computer based exercise on Unix operating system; creating an ABAQUS input file. Tutorial 2 Using ABAQUS to find the response of a cantilever subjected to a point load; using ABAQUS/viewer to display results; understanding and interpreting results from plots and output files. Tutorial 3 Derivation of element matrices for rectangular elements using hand calculations. Tutorial 4 Using ABAQUS to find the response of a column subjected to axial forces; using ABAQUS/viewer to display results; understanding and interpreting results from plots and output files. Tutorial 5 Derivation of element matrices for distorted quadrilateral elements (including numerical integration) using hand calculations. Computing Project 1: Using a frame analysis software (MASTAN or its equivalent) Two frame problems will be set for the students to analyse. They will be asked to provide a report based on all the work carried out for the analyses and the assumptions made. They will be asked to present results in the form of graphs and diagrams (shear force, bending moment and deflection) and their interpretation of the results obtained. Computing Project 2&3: Two small projects using the commercial FE package ABAQUS Students are required to submit Tutorials 2 and 4 of Segment 2. They will be asked to present results in the form of graphs, interpret results obtained and answer specific questions. Feedback Opportunities Comments on marked computer project reports. In-class feedback during tutorial discussions.
Transferable skills	Not entered
Reading list	Reference texts: McGuire W., Gallagher R.J. and Ziemian R.D. Matrix Structural Analysis John Wiley & Sons, 2000.
Study Abroad	Not entered
Study Pattern	Not entered
Keywords	Not entered

Contacts
Course organiser	Prof Yong Lu Tel: Email: Yong.Lu@ed.ac.uk	Course secretary	Miss Nicola Marshall Tel: (0131 6)50 5687 Email: Nicola.Marshall@ed.ac.uk