MECHANIC OF STRUCTURES

The Structural Engineering course plays a crucial role in the engineering curriculum, serving as a link between foundational subjects such as mathematics, physics, and geometry, and the more applied and design-oriented disciplines in subsequent semesters. It introduces students to the fundamental theoretical principles essential for analyzing the mechanical behavior of elastic solids, with particular emphasis on beam systems.

Through the acquisition and application of these principles, students will develop a solid understanding of the core concepts governing the structural behavior of materials and support systems. This will enable them to effectively tackle the design and analytical challenges they will encounter in later stages of their studies and in professional practice.

The course aims to provide students with the theoretical and conceptual foundations necessary to successfully address advanced topics in the field of structural engineering, preparing them for a future career in the engineering sector.

In addition to acquiring the theoretical concepts listed below, the student should be able to apply them to proposed problems.

Knowledge:

Statics and kinematics in rigid bodies
Beams: internal forces and diagrams
Beam deformation
Beam stiffness and statically Indeterminate structures
Strain analysis and Stress theory
Constitutive laws
Saint Venant's problem
Strength criteria

Skills:

Isostatic problems and solution
Hyperstatic problems and solution
Evaluation of Stress State
Apply Failure criterion for triaxial stress states.
Evaluation of Euler's critical load

Students should have a solid understanding of the kinematic, static, and dynamic theory of the material point, as well as the fundamental operations on vectors (addition, scalar multiplication, dot product, and cross product) and matrices. Additionally, it is important for students to be familiar with basic topics in linear algebra and geometry (analytical and differential).

Regarding functions of a single variable, knowledge of limits, derivatives, integrals, Taylor series expansion, and the solution of differential equations with constant coefficients is required. For functions of multiple variables, students should be able to apply the rules of differentiation, integration, and Taylor series expansion.

The main topics are:
1. The solution of isostatic beam structures,
2. Beam theory
3. The solution of hyperstatic structures by the force method
4. Introduction to the displacement method
5. Deformation analysis
6. Stress theory and Mohr's circles
7. Constitutive relationships
8. The principle of virtual work
9. Energy theorems
10. Saint Venant' problem
11. The technical theory of the shear beam (Jourawsky's Formula)
12. The resistance criteria
13. Euler's critical load

F.P. Beer, E.R. Johnston, D.F. Mazurek, S. Sanghi (), Meccanica dei solidi - Elementi di scienza delle costruzioni, McGraw-Hill, quinta edizione 2018
P. Casini, M. Vasta, Scienza delle costruzioni, CittàStudiEdizioni, quarta edizione 2020
E. Viola, Esercitazioni di Scienza delle Costruzioni: Vol. 1 (Strutture isostatiche e geometria delle masse) e Vol 2 (Strutture iperstatiche e verifiche di resistenza), Esculapio

Written and oral exams
Positive results in intermediate written tests (planned during the semester) will directly admit the student to oral exam

written and oral

Teaching is conducted through frontal lessons during which the topics scheduled for the course are presented.

Italian

Educational software with specific learning tools will be suggested

This subject deals with topics related to the macro-area "Cities, infrastructure and social capital" and contributes to the achievement of one or more goals of U. N. Agenda for Sustainable Development