Sustainable Building Engineering

Note: the numbering of the lectures may not correspond to the sequence of the lectures given during the semester, although the content is the same. Lecture 1. 1.1 Introduction to structural and continuum mechanics. Summary of basic tensor and vector algebra. Summary of basic calculus. Examples. Lecture 2. 2.1 Kinematics of three-dimensional continua. The infinitesimal strain tensor and the mechanical meaning of its components. Principal strains and principal directions. Lecture 3. 3.1 Statics of three-dimensional Cauchy continua. The Cauchy theorem. Equilibrium equations. Principal stresses and principal directions. Lecture 4 4.1 Exercises developed in class. Lecture 5. 5.1 The octahedral shear stress and the maximum shear stress in 3D continua. 5.2 The Mohr’s circles and their application to plane stress-states. 5.3 Exercises developed in class. Lecture 6. 6.1 Constitutive behaviors for 3D continua. 6.2 Linear elastic behavior of isotropic homogeneous materials. The elastic problem in 3D continua 6.3 Yield surfaces: the von Mises criterion and the Tresca yield surface. Examples. Lecture 7. 7.1 The Saint-Venant problem 7.2 Geometric properties of surfaces. Thin-walled sections. Lecture 8. 8.1 Exercises developed in class Lecture 9. 9.1 Global equilibrium equations of the Saint-Venant solid: stress resultants and strain resultants. The S-V sub-problems. Lecture 10. 10.1 The axial problem: theory and applications. The one-axis bending problem and the two-axes bending problem: theory and applications. The case of eccentric axial forces: theory and applications. Lecture 11. 11.1 Exercises developed in class Lecture 12. 14.1 Torsion of thin-walled open sections. 14.2 Exercises developed in class Lecture 13. 12.1 The shear problem and the Jourawsky theory. 12.2 The shear center. Lecture 14. 13.1 Exercises developed in class Lecture 15. 15.1 Kinematics and statics of rigid bodies systems. 15.2 The constraints and their kinematic and static meaning 15.3 The kinematic and the static problems Lecture 16. 16.1 Exercises developed in class: solution of the kinematic problem, the isokinematic case Lecture 17. 17.1 Exercises developed in class: solution of the static problem, the isostatic case. Lecture 18. 18.1 The beam theory: the in-plane problem 18.2 Kinematics of the beam. 18.3 Statics of the beam Lecture 19. 19.1 Systems of beams, the case of isostatic systems: stress resultants diagrams. Lecture 20. 20.1 The elastic beam problem and the Euler-Bernoulli beam model.

Subjects taught in the classes of Analysis I and II, Geometry and Physics (Mechanics) are fundamental prerequisites for the topics of the course of Structural Mechanics.

Lecture notes, taken by the student Material available in the Google Classroom web-page of the course (including video records of the homeworks) Books: TALIERCIO PEREGO - Fundamentals of Structural Mechanics SKU: 3918 -A40- I Ed.2022 17x24 Paperback Pag. 432 ISBN: 9788893852890 COLLANA: Esculapio Ingegneria

Although the participation to every class is not mandatory, it is strongly suggested to follow all lectures, included those where exercises are developed by the teacher.

The exam in presence will be given in one of the classroom made available in the University building of Rieti. The exam consists in two parts: the first one is a written test in which the students are required to solve 3 or 4 exercises, the second is an oral test in which the students have to answer to questions concerning the theoretical part of the course, providing discussion, comments and analytical demonstration of theorems and formula studied in the class. In the first part of the exam it is possible to use notes, books and developed exercises. It is not possible to use computers or smartphones. In the second part of the exam, it is not possible to use any book or note and it is also not possible to use computers or smartphones. The passing grade for the two parts of the exam (i.e., written and oral) is 18/30 (for each part of the exam). The students must have a grade greater or equal to 18 to each part of the exam in order to pass the whole exam. The maximum grade is 30/30 (30 cum laude for an excellent exam).

Lectures are given in class, the language adopted is English. Also a Google Classroom web-page is used to contact the students, to post the video records of the homeworks, to assign homeworks, provide communications, etc. Both theories and applications will be taught in class.