Ing - Civ (Mag.)(ord. 270) - MI (488) INGEGNERIA CIVILE - CIVIL ENGINEERING
092849 - COMPUTATIONAL STRUCTURAL ANALYSIS
092851 - ELEMENTS OF COMPUTATIONAL STRUCTURAL ANALYSIS
The objective of the course is to provide students with sound theoretical bases and essential implementation skills of computationally oriented structural analysis methods for proper application to complex real-world engineering problems.
Risultati di apprendimento attesi
The expected learning outcomes encompass: (1) Solid knowledge and in-depth understanding of computational methods and programming techniques for structural analysis; (2) Ability to apply knowledge and understanding to linear and nonlinear analysis of frames, plates, shells, and solid structures; (3) Critical thinking and communication skills for effective teamwork in solving structural analysis problems of real civil engineering systems, including buildings and bridges and addressing specific modeling issues of steel structures, concrete structures, cable-supported systems, and deteriorating structures.
I - MATRIX ANALYSIS OF FRAMED STRUCTURES. Principle of Virtual Work. Principles of Virtual Forces and Virtual Displacements. Matrix formulation of the Force and Displacement Methods. Modelling of frame systems. Stiffness matrix. Equivalent nodal forces. Transformation of coordinates. Assembly. Rigid restraints and links. Solution of linear equation systems. Stress analysis.
II - ADVANCED TOPICS IN MATRIX STRUCTURAL ANALYSIS. Release of degree of freedoms. Beams with varying cross-section. Offsets. Shear walls. Grillages. Prestressing. Beams on elastic foundation. Elastic restraints and links. Imposed displacements. Inclined constraints. Conditioning of linear equation systems. Checking of results. Characteristic problems in modelling of frame systems.
III - FINITE ELEMENT ANALYSIS OF STRUCTURAL SYSTEMS. Principle of Virtual Work applied to a continuum subdivided in elements. Finite Element Method. Convergence criteria (h and p). Isoparametric transformations. Numerical integration. Elements for plane, solid, and axisymmetric problems. Plate and shell elements. Finite Strip Method. Problems with geometrical and material non-linearity. Specialised elements for steel structures, concrete structures, and cable-supported systems. Basic aspects of elements with time-variant properties for life-cycle structural analysis.
Requested background: Fundamentals of matrix analysis; Principles and methods of structural mechanics.
Modalità di valutazione
Grading is based on weekly evaluations of the progress of numerical laboratory assignments and final oral exam. Assignments involve teamwork and include programming of computer codes for structural analysis with benchmark testing and application to real structures, such as bridges under load testing. In the assignments students should demonstrate their teamwork proficiency and ability to apply knowledge and understanding acquired during the course to programming computational methods and solving advanced structural analysis problems. The oral exam consists of open questions on the course topics and in-depth discussion of the assignment reports aimed at assessing the students’ knowledge and understanding of theory, implementation, and proper application of computationally oriented structural analysis methods.
F. Biondini, Lecture Notes on Computational Structural Analysis Note:
Lecture notes and slides are made available to students in attendance before each class session.
A. Ghali, A.M. Neville, Structural Analysis , Editore: Chapman & Hall
W. McGuire, R.H. Gallagher, R.D. Zieman, Matrix Structural Analysis , Editore: John Wiley & Sons
J.S. Przemieniecki, Theory of Matrix Structural Analysis, Editore: McGraw-Hill
K.J. Bathe, Finite Element Procedures in Engineering Analysis , Editore: Prentice Hall
R.D. Cook, D.S. Malkus, M.E. Plesha, Concepts and Applications of Finite Element Analysis, Editore: John Wiley & Sons
O.C. Zienckiewicz, R.L Taylor, The Finite Element Method , Editore: McGraw-Hill
G. Toniolo, Analisi strutturale con l'elaboratore elettronico, Editore: Masson Note:
(Book in Italian)
G. Toniolo, P.G. Malerba, Metodi di discretizzazione dell'analisi strutturale, Editore: Masson Note:
(Book in Italian)
P.G. Malerba (Ed.), Analisi limite e non lineare di strutture in calcestruzzo armato, Editore: CISM (International Centre for Mechanical Sciences) Note:
(Book in Italian)
Tipo Forma Didattica
Ore di attività svolte in aula
Ore di studio autonome
Laboratorio Di Progetto
Informazioni in lingua inglese a supporto dell'internazionalizzazione
Insegnamento erogato in lingua
Disponibilità di materiale didattico/slides in lingua inglese
Disponibilità di libri di testo/bibliografia in lingua inglese
Possibilità di sostenere l'esame in lingua inglese
Disponibilità di supporto didattico in lingua inglese