Study-unit STRUCTURAL MECHANICS AND NUMERICAL METHODS
| Course name | Building engineering and architecture |
|---|---|
| Study-unit Code | A001141 |
| Curriculum | Comune a tutti i curricula |
| Lecturer | Massimiliano Gioffre' |
| CFU | 12 |
| Course Regulation | Coorte 2021 |
| Supplied | 2023/24 |
| Supplied other course regulation | |
| Type of study-unit | Opzionale (Optional) |
| Type of learning activities | Attività formativa integrata |
| Partition |
COMPUTATIONAL STRUCTURAL MECHANICS
| Code | A001145 |
|---|---|
| CFU | 6 |
| Lecturer | Chiara Pepi |
| Lecturers |
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| Hours |
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| Language of instruction | Italian |
| Contents | Finite Element Method for linear analysis of structures. Algorithms and programming codes for structural analysis. |
| Reference texts | J.S. Przemieniecki, Theory of matrix structural analysis, McGraw-Hill Inc., New York, 1968. Klaus-Jürgen Bathe, Finite element procedures in engineering analysis, Prentice-Hall Inc., Englewood Cliffs, New Jersey 07632, 1982. |
| Educational objectives | Knowledge of the Finite Element Method for linear static analysis of structures. Knowledge of problems connected to implementation of numerical codes for solving structural systems by the Finite Element Method. |
| Prerequisites | In order to be able to understand and apply the majority of the techniques described within the Course, the following knowledge is recommended: Maths: derivation and integration techniques for one-dimensional and bi-dimensional functions; differential equations. Physics: vector calculus; equilibrium equation both for static problems. Structural Mechanics and Strength of Materials: equilibrium, compatibility and constitutive equations for the elastic continuum; beam elastic deflection equations. |
| Teaching methods | Face-to-face both theoretical and practical classes. |
| Other information | Attendance to classes: optional but strongly advised. |
| Learning verification modality | Hands-on practice and oral exam. |
| Extended program | Structural analysis by the equilibrium method. Structural analysis by the Finite Element Method (FEM). Stiffness matrices for truss and beam elements. Shape functions. Plane elements. Lagrangian and Serendipity family. Isoparametric elements. Numerical integration. Algorithms for numerical static analysis of structures. Structural analysis by means of commercial software. |
| CFU | 3 |
|---|---|
| Lecturer | Chiara Pepi |
| CFU | 3 |
|---|---|
| Lecturer | Chiara Pepi |
MECHANICS OF STRUCTURES
| Code | 70000409 |
|---|---|
| CFU | 6 |
| Lecturer | Massimiliano Gioffre' |
| Lecturers |
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| Hours |
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| Learning activities | Caratterizzante |
| Area | Analisi e progettazione strutturale per l'architettura |
| Sector | ICAR/08 |
| Type of study-unit | Opzionale (Optional) |
| Language of instruction | Italian |
| Contents | Basics of Continuum mechanics. Displacements in elastic beams and structures. Statically indeterminate structures. Barré de Saint Venant problem. Plasticity and strength criteria. Stability of the elastic equilibrium. |
| Reference texts | R. Baldacci, Scienza delle Costruzioni, Volumi I e II, UTET, Torino. L. Nunziante, L. Gambarotta, A. Tralli, Scienza delle Costruzioni, McGraw-Hill Leone Corradi dell'Acqua - Meccanica delle strutture, Mc Graw Hill M. Capurso, Lezioni di Scienza delle Costruzioni, Pitagora, Bologna. |
| Educational objectives | Understanding the base principles and concepts of Mechanics aimed to manage the tools needed for structural analysis (design and verifications) of both one-dimensional elements and bi-, tri-dimensional continua. |
| Prerequisites | In order to be able to understand and apply the majority of the techniques described within the Course, the following knowledge is recommended: Maths: derivation and integration techniques for one-dimensional and bi-dimensional functions; differential equations. Physics and Meccanica Razionale: vector calculus; equilibrium equation both for static and dynamic problems. Geometry: vector spaces and linear operations; matrices and linear operators; linear systems; algebraic curves: conic curves. |
| Teaching methods | Face-to-face both theoretical and practical classes. |
| Other information | Attendance to classes: optional but strongly advised. |
| Learning verification modality | Written test and oral exam. |
| Extended program | Strain analysis. Stress analysis. Principle of virtual works. Elastic bodies and energy related theorems. Elastic Beams. Energy based methods for systems of beams. Statically indeterminate structures and their solution. Barré de Saint Venant problem: axial force, bending moment, eccentric axial force, shear force and bending moment, torsion. Plasticity and strength criteria. Strength of materials. Safety assessment. Stability of the elastic equilibrium: buckling loads, Euler buckling. |