Advanced Structural Analysis

Recommended Prerequisites

Linear Algebra and Analytic Geometry

Mathematical Analysis I and II

Numerical Methods

Mechanics II

Continuum Mechanics

Strength of Materials I and II

Structural Analysis.

Teaching Methods

Classes with detailed explanation, using visual media, of the concepts, principles and fundamental theories followed by solving application examples to fill the student needs as the subject are concerned. The problems are solved by hand calculation and using both, open source code and commercial computer analysis programs. The students, under the teacher guidance, must develop skills to solve, on their own, additional practical problems.

Learning Outcomes

The students are provided with the most important concepts, principles and theories which explain, understand and reflect the material and/or geometric nonlinear behaviour of structures undergoing static and dynamic loading. Analysis of framed structures and plate structures using the finite element method. Approaches which can be easily employed to design structures with linear elastic behaviour are referred and used. Acquiring capabilities in synthesis and analysis, autonomous learning, practical application of theoretical knowledge, oral and written communication, critic reflection, solving structural analysis problems using computational tools.

Work Placement(s)

No

Syllabus

1. Finite element method

1.1 Basis of the method

1.3 Truss element

1.4 Beam element

1.5 CST element for plane elasticity

1.6 CMT element for plate bending

2. Nonlinear geometrical analysis

2.1 Elastic stability and equilibrium bifurcation

2.2 Geometric stiffness matrix

2.3 Linear elastic stability analysis of framed structures

2.4 Second order effects

2.5 Second order analysis of framed structures

3. Material nonlinear analysis

3.1 Elastoplastic incremental analysis

3.2 Plastic limit analysis

4. Structural dynamics

4.1 Single-degree-of-freedom systems

4.1.1 Undamped and damped free vibrations

4.1.2 Forced vibrations due to harmonic loading

4.1.3 Impulse function

4.1.4 Response spectrum for impulsive loading

4.2. Multi-degree-of-freedom systems

4.2.1 Modal analysis

4.2.2 Modal superposition method

4.2.3 Response to general dynamic loading

4.2.4 Response to seismic action.

Head Lecturer(s)

Alberto Miguel Bizarro Martins

Assessment Methods

Final assessment
Course assessment can also be made by exam as an alternative to the midterm exams assessment.: 100.0%

Continuous assessment
Resolution Problems: 25.0%
Frequency: 75.0%

Bibliography

Simões, L.M.C. (2015). Análise de Estruturas, Vol I, Coimbra: Gráfica Ediliber

Simões, L.M.C. (2015). Análise de Estruturas, Vol II, Coimbra: Gráfica Ediliber

Ghali, A., Neville, A.M. (1997). Structural analysis: A unified classical and matrix approach (4th ed). London: E & FN Spon

Oñate, E. (1992). Cálculo de estructuras por el método de elementos finitos análisis estático lineal. Barcelona: CIMNE

Reis, A., Camotim, D. (2001) Estabilidade Estrutural. Amadora: McGraw-Hill

Clough, R.W., Penzien, J. (1993). Dynamics of Structures. 2nd ed. New York: McGraw-Hill

Smith, D.L. (1974) Plastic Limit Analysis and Synthesis of Frames by Mathematical Programming, Imperial College London.