To provide knowledge about the various methods of structural analysis. To study the mechanical behaviour of structures, their response in service and their safety. To introduce the concept of nonlinearity of materials and structures, and understand how this can influence their performance. To understand that the linear behaviour of structures (internal forces, deformations) has a limited domain of validity. To study the dynamic behaviour of structures. To introduce the concepts of vibration and instability of structures (eigenvalue problems). To apply the finite element method to several selected problems. To use finite element programs to study the behaviour of structures with practical interest in mechanical engineering.
Types of structural analysis. Discrete structural systems. Nonlinearities. Limit load. Newton-Raphson Method.
Structural instability. Buckling load and instability mode. Post-buckling behavior. Dynamic behavior. Newmark method.
Frequency and vibration mode. Structural damping. Rayleigh-Ritz and finite element methods for the beam dynamic analysis. Dynamic response of beams and frames. Instability of beams and frames. Determination of critical loads and instability modes. Fundamentals of the nonlinear finite element method for structures. Basic concepts of plasticity.
Effect of shear deformation on the behavior of structures. Timoshenko's beam. Failure and structural safety check.
The grading is based on a final exam and a computational work based on a laboratory session. The exam counts 75% of final grade. The homework, which is individual, counts 25% to the final grade.
Apontamentos de Mecânica Estrutural, Silvestre N. e Araújo A. , 2014, Instituto Superior Técnico, Universidade de Lisboa
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