Aims & Learning Objectives:
To extend previously introduced structural theory and analysis to an appropriate level for a broad coverage of finite element methods.
To develop the understanding and application of finite element methods to a range of structural systems.
To extend understanding of, and the ability to apply plasticity methods for the analysis of structures.
Content:
Numerical methods: revision of matrix methods of analysis as applied to pin jointed trusses, rigidly jointed frames, and finite element modelling of continuum structures. Isoparametric elements, plate and shell elements. Finite element analysis of complete structures; compatiblity of in-plane and bending displacements.
Classical plate theory.
Plate buckling and buckling of thin-walled box-beams.
Non-linear behaviour of structures, geometric and material non-linearity; Newton-Raphson and incremental solution methods. Computer finite element modelling of non-linear problems.
Plasiticity theory: yield and failure criteria, 3-D Mohr's circle of stress, hydrostatic and deviatoric stresses. C-curves and the pi-plane. Tresca and von Mises yield criteria. The flow rule, normality and convexity. Mohr-Coulomb failure criterion. The upper and lower bound theorems. Shakedown.
Torsion, indentation, axial and shear effects for metallic structures.
Concrete plasticity, upper-bound flexural and shear analysis, lower-bound strut-and-tie methods.
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