Università degli Studi di Perugia

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Study-unit FUNDAMENTALS OF STRUCTURAL MECHANICS

Course name Mechanical engineering
Study-unit Code 70367206
Curriculum Generale
Lecturer Antonio Borri
Lecturers
  • Antonio Borri - Didattica Ufficiale
Hours
  • 54 Hours - Didattica Ufficiale - Antonio Borri
CFU 6
Course Regulation Coorte 2017
Supplied 2018/19
Supplied other course regulation
Learning activities Affine/integrativa
Area Attività formative affini o integrative
Sector ICAR/08
Type of study-unit Obbligatorio (Required)
Type of learning activities Attività formativa monodisciplinare
Language of instruction Italian
Contents 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.
Reference texts Lecture Slides available on https://www.unistudium.unipg.it/unistudium/login/index.php
-Angotti, Borri - Lezioni di Scienza delle Costruzioni - Dei
-Erasmo Viola - Esercitazioni di Scienza delle costruzioni - vol 1° 1993 Pitagora Editrice Bologna
-Erasmo Viola - Esercitazioni di Scienza delle costruzioni - vol 2° 1985 Pitagora Editrice Bologna
-Riccardo Baldacci - Scienza delle costruzioni: Fondamenti di meccanica dei solidi - vol 1° 1970 UTET
-Riccardo Baldacci - Scienza delle costruzioni: Fondamenti di meccanica delle strutture - vol 2° 1976 UTET
Educational objectives 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.
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.
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 methods Practical and theoretical classes.
Learning verification modality The exam consists in a in-class test and an oral interview.
The test includes a statically determinate beam system and the determination of principal axes of inertia and stresses in the section of a De Saint Venant solid.
The oral interview is based on two or three theoretical questions.
Extended program -Mechanics of elastic solids (concepts of stress and strain; elasticity theory)
­-Beam theory of linearly elastic isotropic beam subject to extension, flexure, shear and torsion
­-failure criterion (Rankine, Tresca, Von Mises);
­-principle of virtual works;
­-statically determinate beams (classification of beams, types of constraints, types of loads, Statics and kinematics of plane systems of beams, equilibrium equations, internal forces – axial force, shear force, bending moment); trusses.
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