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To provide students with a good understanding of the mathematical theory underpinning advanced computer based numerical modelling techniques. To investigate the application of various modelling techniques to Civil Engineering problems. To provide an insight into the process of developing conceptual and idealised models of Civil Engineering problems.

On successful completion of this course a student will be able to:

1. Critically evaluate and select appropriate modelling techniques for a given Civil Engineering problem.

2. Develop conceptual and idealised models of Civil Engineering problems.

3. Translate an idealised model into a computer model.

4. Solve the computer model using a range of software tools.

5. Test and validate solutions derived from computer models.

 Essential math – review: Advanced numerical analysis methods; the solution of simultaneous and homogeneous equations; matrix algebra including symmetry, partitioning and inverse.

 One dimensional finite element theory: Modelling of framed structures; trusses, beams and frames. Direct stiffness method, truss and beam elements. Construction of global structure stiffness; boundary conditions; solution for displacements and reaction forces.

 Two and three dimensional finite element theory: Fundamental equations of elasticity; equilibrium equations, strain displacement relations, stress strain relationships, boundary conditions. Approximate displacement, shape functions; virtual work, total potential energy; element stiffness, nodal load; isoparametric elements.

 Finite element process: Mesh design. Input, solution, and output. Commercial software, use of software. Validating the idealised model. Interpreting results; drawing conclusions.

 Computer modelling: Idealisation of civil engineering problems. Numerical methods, finite element, finite difference. Static analysis. Dynamic analysis, free and forced vibrations, damping effect, earthquake response. Non-linear analysis, geometric and material non-linearity; engineering material property and behaviour; yield criteria; the solution of non-linear equations. Boundary conditions, discontinuities, loading conditions.

 Case studies: Steel frame structures, static and dynamic analyses, FE model updating. Reinforced concrete slab, modelling of reinforcement and concrete, non-linearity. Geotechnical problems, soil-structure interaction, soil model. Validation of FE numerical results.

The course will comprise lectures and studio sessions. Studio sessions will include project oriented work; case studies; discussion groups /seminars; computer workshops; student-led presentations; tutorials; peer group teaching via self-assessed assignments.

Students are required to pass all components in order to pass the course.

Assignment - 40% weighting, 50% pass mark, LO 1-5. Outline Details - Individual project: one computer based assignment. 3,000 words.

Examination - 60% weighting, 50% pass mark, LO 1-5. Outline Details - 3 Hours Exam.