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## Università degli Studi di Perugia

Prerequisites The basic background of high-school and of first year’s class Mathematics and Physics is assumed as a necessary prerequisite. When the written test gets a positive grade i. Pure and deviated shear: Texts, readings, handouts and other learning resources Notes provided by teachers. The basic tools are introduced initially referring to simple problems and then considering cases of increasing complexity.

Strutture isostatiche e geometria delle masse. The final evaluation is performed through a 2-hours written exam with one or more exercises depending on their complexitysimilar esercitaziomi those proposed during the course, and with one or more questions on the theoretical contents.

Gerber, truss structure, three hinges arches, closed frames, examples.

Theorems of Betti, Clapeyron and Castigliano. This course gives to students the knowledge necessary to perform validation and design calculations of simple structural elements subjected to different load configurations.

Sono presenti servizi di terze parti Facebook, Twitter e Google che potrebbero utilizzare cookie di profilazione. Titulus – IT protocol. Strutture iperstatiche e verifica di resistenza. Non-centroidal axial load and deviated bending. The basic background of high-school and of first year’s class Mathematics and Physics is assumed as a necessary prerequisite. In case the necessary financial support will be granted, a tutor will be available to help students improving their skills.

Maggiori informazioni sui cookie e come disabilitarli: Attending this class, students will become able to develop applications covering all treated issues.

Teaching Methods 60 hours of lectures, 40 hours will be devoted to theory and 20 hours will be tutorials. Verification of learning The final exam is this: The student will be able to determine the support reactions, axial force, shear force and bending moment diagrams for a statically determinate plane system of beams and to determine stress fields in a beam according to De Saint Venant’s principle.

More Information In the Course website student will find Course notes and solved tutorials. Texts — Scienza delle Costruzioni. The module presents an introduction to the relationship between applied loads and the resulting stresses and deformations produced in elastic solids and in particular in plane beam systems.

In particular the rudiments required to describe the stress states due to the above mentioned loads, and to calculate the maximum stresses caused by simple load systems and to compare the maximum stresses with the material allowables are provided.

The competence level of the Course of Theory of Structures are defined following the SUA CdS document and, in more detail, they are described as follows. The final exam is this: U-Sign — Web signature.

## IN/0102 – CONSTRUCTION THEORY

Learning verification modality The exam consists in a in-class test and an oral interview. Programma definitivo per l’A.

B-1 Elementary functions and their graphs; B-2 Vectors and analytic geometry; B-3 Matrices, systems of linear algebraic equations, eigenvalues and eigenvectors; B-4 Derivatives and study of functions by differential calculus; B-5 Integrals; B-6 Differential equations. The final structure is this: Cardinal equations of statics. Prerequisites Vectorial operations, matrix operations, basic issues of linear algebra, analytic geometry, differential geometry, functions of one or several variables concept of limit, differentiation rules, integration rules, Taylor series.

Teaching language is Italian. Teaching methods Practical and theoretical classes. Theoretical questions allow obtaining up to a maximum of 15 points on ersamo total available The exam consists in a in-class test and an oral interview.

### Esercitazioni di scienza delle costruzioni – Erasmo Viola – Google Books

The aim is that of developing in a sound and rigorous way the basic issues, by making clear the physical meaning of the mechanical models which are introduced and their limits of applicability. In the course real objects like beams, frames or structures are studied, they are a valuable support to the intuition and they allow to easily understand the meaning of the mathematical models adopted to face the problem and to find its solution.

In detail, these are the: The de Saint Venant problem: Definition of the stress components, indefinite equations of equilibrium, rotation of the reference system and stress principal directions.

Definition of the strain components. After the course the student will be able to use fundamental theory and analysis techniques to solve basic problems in structural mechanics and understand the behaviour of structural elements under different load actions.