The main objective of this course is to develop, in the Building Engineering student, the knowledge and ability to analyze and design structures basing their load carrying capacity on their shape, such as arcs, plates, membranes, shells with single and double curvatures. Furthermore, the course intends to provide the student with the basic concepts of theory of plasticity and fracture mechanics, which are necessary to design a structure by using modern codes, having focuses on objectives rather than on prescriptions. To complete the educational purpose, the course also covers the basics of experimental testing and characterization of structures, in such a way to offer a 360-degree vision on the analysis of the structural behavior. Laboratory classes are organized to allow direct experience of testing and characterization issues, by using simple structural models.
The main objective of this course is to develop, in the Building Engineering student, the knowledge and ability to analyze and design structures basing their load carrying capacity on their shape, such as arcs, membranes, and shells with single and double curvatures. The analysis of additional structural typologies is also included, such as towers and tall buildings. For each of them, the focus will always be on the building scale. To complete the educational purpose, the course also covers the basics of experimental testing and characterization of structures, in such a way to offer a 360-degree vision on the analysis of the structural behavior. Laboratory classes are organized to allow direct experience of testing and characterization issues, by using simple structural models.
The student should learn how to discuss, in a rational and quantitative way, the points of strength and the points of weakness of the structural solutions presented, and the factors that may cause a discrepancy between the expected theoretical behavior and the experimental performance of a structure. Moreover, the numerical codes that assist the student during the structural analysis report some warning or error messages. The right interpretation of the above-mentioned messages, the following modifications to the model and the critical evaluation of the final results complete the learning outcomes expected from the course.
The student should learn how to discuss, in a rational and quantitative way, the points of strength and the points of weakness of the structural solutions presented, and the factors that may cause a discrepancy between the expected theoretical behavior and the experimental performance of a structure.
From the previous course of Structural Mechanics, the student should know how to analyze the strain and stress field in a 3D continuum and in the Saint Venant solid. The student should also know the basic concepts of stability of the elastic equilibrium. Basic knowledge about computation of multidimensional integrals, partial derivatives, linear systems of equations, differential equations, constrained maximum and minimum points is also recommendable.
The student should know the basic concepts of structural mechanics, e.g., how to analyze the stress and strain field in a 3D continuum and in the Saint Venant solid.
AUTOMATIC COMPUTATION OF BEAM SYSTEMS (10h): the stiffness matrix of a single beam in a plane; transformation, expansion and assembly of the previous matrix; boundary conditions; short account on truss systems, grids and full 3D frames.
PLANE CONTINUUM STRUCTURES (10h): kinematics and statics of the membrane regime and of the flexural regime; equilibrium equations in the case of thin plates where the shearing deformation can be neglected (Kirchhoff); Sophie Germain-Lagrange equation.
NUMERICAL METHODS ACCORDING TO RITZ-GALERKIN (5h): the displacements approach applied to the kinematic hypotheses previously presented for membrane and plates.
PLASTICITY THEORY (5h): elastoplastic flexural behavior of a rectangular section; residual stresses after unloading; the extension of the plastic zone; incremental elastoplastic analysis; limit analysis theorems; the transition from plasticity to fracture and the related dimensional analysis.
EXPERIMENTAL TESTING AND CHARACTERIZATION OF SIMPLE STRUCTURAL MODELS (30h): general introduction and lab classes on beam, frame, arc and plate models under different constraints; non-destructive testing via ultrasonic and sclerometric methods; material characterization according to European standards.
STRUCTURAL TYPOLOGIES (20h): Brief review of graphical statics and construction history; theory and examples of arch constructions; vaulted systems: simple and compound vaults (barrel, pavilion, cross, dome vaults); historical notes and theoretical elements of tall buildings.
EXERCISES (10h): Examples of calculation of the stress and strain state in structural elements.
EXPERIMENTAL TESTING AND CHARACTERIZATION OF SIMPLE STRUCTURAL MODELS (30h): general introduction and lab classes on beam, frame, arch, and plate models under different constraints; non-destructive testing via ultrasonic and rebound hammer testing methods; material characterization according to European standards.
The course is divided into classroom lessons and laboratory classes.
Classroom lessons cover the part of the program related to the analysis, design and computation of structures, and are complemented by exercises, that will be presented just after the theoretical parts. Each student will install the educational version of Abaqus code on his/her laptop computer. The laboratory classes cover the part of the program related to the characterization of materials and structural elements and are conducted by dividing the students into working groups and/or with the aid of videos and suitable remote teaching tools. The preparation of reports on the laboratory activities is required for the purpose of achieving the expected practical skills.
The course is divided into classroom lessons and laboratory classes.
Classroom lessons cover the part of the program related to the analysis of the mechanical behavior of different types of structures and are complemented by exercises. The laboratory classes cover the part of the program related to the characterization of materials and structural elements and are conducted by dividing the students into working groups. The preparation of reports on the laboratory activities is required for the purpose of achieving the expected practical skills. Both classroom lessons and laboratory classes can be given onsite or in remote mode without altering the overall educational effectiveness.
A.Carpinteri: Structural Mechanics Fundamentals , CRC Press,Taylor and Francis Group,2014
O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu: The finite element method: its basis and fundamentals, Elsevier.
SIMULIA Academic Teaching Suite
A. Carpinteri: Structural Mechanics Fundamentals, CRC Press, Taylor and Francis Group, 2014.
Additional reading materials, data, and templates will be made available through the Teaching Portal.
Modalità di esame: Prova orale obbligatoria; Elaborato scritto prodotto in gruppo;
Exam: Compulsory oral exam; Group essay;
...
The exam consists of two mandatory parts, as described below.
1. GROUP ESSAY. The laboratory classes are assessed through the related reports, which must be structured as a written group essay, in accordance with a template provided by the teacher, and must be delivered at least one week before the oral exam. The teacher analyzes the reports and proposes a grade on two levels (sufficient / insufficient), which does not contribute to the definition of the final grade. The achievement of the sufficiency level is only a necessary condition to access the oral exam.
2. ORAL EXAM. The learning outcomes and the degree of autonomy and maturity of the student in critically discussing the course topics are assessed through an oral test, during which the examiners ask the student at least two questions, i.e., one (or more) about the part of the syllabus related to the structural typologies, and one (or more) about the part of the syllabus related to the experimental testing and characterization. Depending on the question asked, the student is free to write notes, schemes, and simple calculations to facilitate discussion. At the end, the examiners discuss privately the outcomes of the oral test and propose a grade up to 30 cum laude, which averages their judgements on the learning outcomes achieved by the student.
The final grade is given by the individual grade out of thirty obtained in the oral exam.
Gli studenti e le studentesse con disabilità o con Disturbi Specifici di Apprendimento (DSA), oltre alla segnalazione tramite procedura informatizzata, sono invitati a comunicare anche direttamente al/la docente titolare dell'insegnamento, con un preavviso non inferiore ad una settimana dall'avvio della sessione d'esame, gli strumenti compensativi concordati con l'Unità Special Needs, al fine di permettere al/la docente la declinazione più idonea in riferimento alla specifica tipologia di esame.
Exam: Compulsory oral exam; Group essay;
The exam consists of two mandatory parts, as described below.
1. GROUP ESSAY. The laboratory classes are assessed through the related reports, which must be structured as a written group essay, in accordance with a template provided by the teacher, and must be delivered at least one week before the oral exam. The teacher analyzes the reports and proposes a grade on two levels (sufficient / insufficient), which does not contribute to the definition of the final grade. The achievement of the sufficiency level is only a necessary condition to access the oral exam.
2. ORAL EXAM. The learning outcomes and the degree of autonomy and maturity of the student in critically discussing the course topics are assessed through an oral test, during which the examiners ask the student at least two questions, i.e., one (or more) about the part of the syllabus related to the structural typologies, and one (or more) about the part of the syllabus related to the experimental testing and characterization. Depending on the question asked, the student is free to write notes, schemes, and simple calculations to facilitate discussion. At the end, the examiners discuss privately the outcomes of the oral test and propose a grade up to 30 cum laude, which averages their judgements on the learning outcomes achieved by the student.
The final grade is given by the individual grade out of thirty obtained in the oral exam.
In addition to the message sent by the online system, students with disabilities or Specific Learning Disorders (SLD) are invited to directly inform the professor in charge of the course about the special arrangements for the exam that have been agreed with the Special Needs Unit. The professor has to be informed at least one week before the beginning of the examination session in order to provide students with the most suitable arrangements for each specific type of exam.
Modalità di esame: Prova orale obbligatoria; Elaborato scritto prodotto in gruppo;
To access the exam, it is required to produce a document that collects the reports on the laboratory classes, to be drawn up according to a format made available via the teaching portal. Such a document is subject to a two-level assessment (sufficient/insufficient) and does not contribute to the definition of the final grade, but only constitutes a mandatory condition to access the exam.
The exam consists in a test in which the examiner poses questions to the student in spoken form, covering the theoretical topics, the computational exercises and the laboratory classes presented during the course. The exam qualifies the student's autonomy and maturity in learning and critically applying the teaching content and leads to the attribution of a final score in thirtieths.
Exam: Compulsory oral exam; Group essay;
The exam consists of two mandatory parts, as described below.
1. GROUP ESSAY. The laboratory classes are assessed through the related reports, which must be structured as a written group essay, in accordance with a template provided by the teacher, and must be delivered at least one week before the oral exam. The teacher analyzes the reports and proposes a grade on two levels (sufficient / insufficient), which does not contribute to the definition of the final grade. The achievement of the sufficiency level is only a necessary condition to access the oral exam.
2. ORAL EXAM. The learning outcomes and the degree of autonomy and maturity of the student in critically discussing the course topics are assessed through an oral test, during which the examiners ask the student at least two questions, i.e., one (or more) about the part of the syllabus related to the structural typologies, and one (or more) about the part of the syllabus related to the experimental testing and characterization. Depending on the question asked, the student is free to write notes, schemes, and simple calculations to facilitate discussion. In case of online exam, a suitable platform (such as BBB, Skype, Zoom, etc.) is selected in accordance with the students' and examiners' needs, and individual links are provided for the remote connection. At the end, the examiners discuss privately the outcomes of the oral test and propose a grade up to 30 cum laude, which averages their judgements on the learning outcomes achieved by the student.
The final grade is given by the individual grade out of thirty obtained in the oral exam.
Modalità di esame: Prova orale obbligatoria; Elaborato scritto prodotto in gruppo;
To access the exam, it is required to produce a document that collects the reports on the laboratory classes, to be drawn up according to a format made available via the teaching portal. Such a document is subject to a two-level assessment (sufficient/insufficient) and does not contribute to the definition of the final grade, but only constitutes a mandatory condition to access the exam.
The exam consists in a test in which the examiner poses questions to the student in spoken form, covering the theoretical topics, the computational exercises and the laboratory classes presented during the course. The exam qualifies the student's autonomy and maturity in learning and critically applying the teaching content and leads to the attribution of a final score in thirtieths.
Exam: Compulsory oral exam; Group essay;
The exam consists of two mandatory parts, as described below.
1. GROUP ESSAY. The laboratory classes are assessed through the related reports, which must be structured as a written group essay, in accordance with a template provided by the teacher, and must be delivered at least one week before the oral exam. The teacher analyzes the reports and proposes a grade on two levels (sufficient / insufficient), which does not contribute to the definition of the final grade. The achievement of the sufficiency level is only a necessary condition to access the oral exam.
2. ORAL EXAM. The learning outcomes and the degree of autonomy and maturity of the student in critically discussing the course topics are assessed through an oral test, during which the examiners ask the student at least two questions, i.e., one (or more) about the part of the syllabus related to the structural typologies, and one (or more) about the part of the syllabus related to the experimental testing and characterization. Depending on the question asked, the student is free to write notes, schemes, and simple calculations to facilitate discussion. In case of blended exam mode, a suitable platform (such as BBB, Skype, Zoom, etc.) is selected in accordance with the students' and examiners' needs. Links for remote connection are provided to the students who cannot be present onsite. At the end, the examiners discuss privately the outcomes of the oral test and propose a grade up to 30 cum laude, which averages their judgements on the learning outcomes achieved by the student.
The final grade is given by the individual grade out of thirty obtained in the oral exam.