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 of rigid bodies: equilibrium and congruence.
Stress characteristics in isostatic beam systems.
Analysis of stress and strain states in deformable bodies.
Mechanical behavior of materials: elasticity, ductility, fracture, strength.
Stress characteristics in hyperstatic beam systems.
Stress states for tension, bending, shear, and torsion.
Skills:

Calculate support reactions in an isostatic structure.
Plot stress diagrams in isostatic structures and their elastic lines.
Manipulate stress and strain components.
Calculate stresses in beam systems based on the principle of de Saint Venant.
Apply strength criteria for triaxial stress states.
Verify a slender column subjected to point loading.

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 covered are:
1. The solution of structures composed of isostatic beams,
2. The solution of hyperstatic structures with the force method
3. Introduction to the displacement method
4. Stress analysis, including the Mohr circle of stresses,
5. Deformation analysis
6.The theory of stress
7. The constitutive equations of continuous linear-elastic media, the equation of the elastic line of the inflected beam
8. The principle of virtual work for the beam
9. The principle of minimum Total Potential Energy
10. The de Saint Venant problem in normal and tangential tensions
11. The technical theory of the shear beam (Jourawski Formula)
12. verification of the sections
13. The resistance criteria of materials
14. The equilibrium stability of beams with concentrated deformability
15. The stability of the bent beam subjected to buckling (Euler's Formula)

L.Nunziante, L.Gambarotta, A.Tralli, Scienza delle costruzioni, McGraw-Hill, terza edizione 2011

M.Capurso, Lezioni di scienza delle costruzioni, edizione Esculapio

Written and oral exam

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

Italian

written and oral

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