Study-unit MECHANICS OF SOLIDS AND STRCUTURES
| Course name | Civil and environmental engineering |
|---|---|
| Study-unit Code | 70009212 |
| Curriculum | Comune a tutti i curricula |
| Lecturer | Vittorio Gusella |
| Lecturers |
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| Hours |
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| CFU | 12 |
| Course Regulation | Coorte 2021 |
| Supplied | 2022/23 |
| Supplied other course regulation | |
| Learning activities | Caratterizzante |
| Area | Ingegneria civile |
| Sector | ICAR/08 |
| Type of study-unit | Obbligatorio (Required) |
| Type of learning activities | Attività formativa monodisciplinare |
| Language of instruction | Italian |
| Contents | The beam model. Restraints. Kinematics and Static of the beam. Internal Forces. Theorem of virtual work. Constitutive Relations. Iperstatic structures. Method of congruence. The solid mechanics. Stress and strain. Theorem of virtual work. Linear elasticity. Clapeyron's Theorem. Kirchhoff's Theorem. Betti's Theorem. Isotropy. Navier's Equations. Beltrami - Michell Equations. De Saint-Venant 's Problem. Tresca's criterion. Von Mises's criterion. Notes on structural instability (omega method). |
| Reference texts | Lectures Notes - UNISTUDIUM UNIPG Riccardo Baldacci - Scienza delle Costruzioni - UTET Michele Capurso - Lezioni di Scienza delle costruzioni - Piatagora Editrice Leone Corradi dell'Acqua - Meccanica delle strutture - Mc Graw Hill Odone Belluzzi - Scienza delle Costruzioni - Zanichelli |
| Educational objectives | With reference to the Dublin Descriptor 1 - knowledge and under standing, the learning outcomes, expected and verified in the tests, are related to knowledge of the mechanical behavior of solids and structures in linear elastic range. In the written test, the main skill acquired (applying knowledge and under standing - Dublin Descriptor 2) are realtive to solving hyperstatic structures, calculation of displacements, analysis of the stress and strain for beams subject normal force, bending moment, torque, shear. The outcomes will also be checked, with reference to the Dublin Descriptors 3 and 4,in the oral test. As regards the calendar of the exams: http://www.ing1.unipg.it/didattica/studiare/34-calendario-appelli-esam |
| Prerequisites | Calculus: derivatives, integrals, functions of several variables, total and partial differential equations. Geometry - Algebra: vector analysis, matrix analysis, surfaces. Physics - Theoretical Mechanics: cinamatiche sizes, static equilibrium equations. |
| Teaching methods | Theoretical lessons and practical training |
| Other information | - |
| Learning verification modality | The examination consists of two tests: a written test and an oral test. The written exam consists of three questions: 1) resolution of a hyperstatic structure, 2) verification of beam section, 3) variable topic (beam bending, measurement displacements, analysis of stress, analysis of strain, etc.). As part of this test will be assessed the knowledge and skills of the candidate's application (Dublin Descriptors 1 and 2) in the context both of structural mechanics that of solid mechanics. The duration of the test is about three hours. The oral exam will focus on the entire program of the course. Please note that in the oral exam it is possible to require the solution of structures (applicative exercises) (statically indeterminate structures, internal forces in beams, etc.). In this context will check the autonomy and capabilities - command of the language (Dublin Descriptors 3 and 4). If the oral examination should be insufficient, the candidate must repeat the written test for admission. The topics of education, that will be verified during the tests, are of great interest in the formation of a engineer oriented to the analysis, design and management of civil construction and civil infrastructure. Calendar of examinations: http://www.ing1.unipg.it/didattica/studiare/34-calendario-appelli-esami |
| Extended program | The beam model. Restraints. Kinematics of the beam. Static of the beam. Internal Forces. Internal restraints. Isostatic beams. Compatibility Equations. Equilibrium Equations. Theorem of virtual work. Constitutive Relations, Frame structures. Reticular structures. Iperstatic structures. Method of congruence. The solid mechanics. Equilibrium. Stress. Special components of stress. Cauchy Theorem. Normal stress and shear stress. Directions and principal stresses. Isotropic and deviatoric stress. Mohr circles. Deformation - strain. Tensor of strain. Geometric representation of tensor. Displacement field. Infinitesimal strain. The displacement gradient tensor and the deformation and rotation. Theorem of virtual work. Elastic potential energy. Linear elasticity. Deformation work - Clapeyron's Theorem. Kirchhoff's Theorem. Betti's Theorem. Isotropy. Navier's Equations. Beltrami - Michell Equations. De Saint-Venant 's Problem. De Saint-Venant's Postulate. Normal force. Bending moment. Shear. Torque. Tresca's criterion. Von Mises's criterion. Notes on structural instability (omega method). |