Enrollment year
2018/2019
Academic discipline
ICAR/08 (CONSTRUCTION SCIENCE)
Department
DEPARTMENT OF ELECTRICAL,COMPUTER AND BIOMEDICAL ENGINEERING
Course
INDUSTRIAL ENGINEERING
Period
1st semester (30/09/2019 - 20/01/2020)
Lesson hours
54 lesson hours
Activity type
WRITTEN AND ORAL TEST
Prerequisites
Calculus 1, Physics 1, Mathematical Physics, Algebra
Learning outcomes
Understanding and assimilation of basic concepts related to the foundations of continuum mechanics for general 3D elastic solids and elementary mechanics of deformable one-dimensional structures. Acquisition of operational capabilities necessary to solve statically determinate and indeterminate beams of basic type using different approaches, as well as the schematic design and verification of beams with general loading conditions.
Course contents
Basic concepts: force, moment, couple, vector/tensor operations, notations
Beam equilibrium: Kinematics and statics of the straight beam, internal actions and diagrams.
Euler-Bernoulli beam theory, consistency, equilibrium, constitutive law. Elastic-linear-isotropic law and formulation of the elastic problem.
Strain state. Consistency of the deformable continuum and kinematics relations. The finite-deformation tensor (Green-Lagrange). Hypothesis of "small displacements": small deformation tensor. Principal deformations and invariants. Volume and shape change. Internal consistency.
Stress state: General aspects of the structural problem. Force and stress. the Cauchy stress tensor. Principal directions and invariants. 2D and 3D stress states. The Mohr stress representation. Equilibrium conditions.
Constitutive law. Stress-strain relations and experimental evidence. Elasticity, anelasticity, failure. Elastic law: energy aspects, existence and uniqueness of the elastic response. Elastic-linear-isotropic law: elastic constants. Elastic limit and failure-yield criteria. The elastic problem.
Formulation of the problem and uniqueness of the solution.
Position of the problem of De Saint Venant. Axial action and bending. Torsion. Shear: approximate treatment.
Elastic stability of equilibrium. Formulation of the problem. Discrete elastic systems. The Euler beam. Euler curves for ideal materials and real materials.
Teaching methods
Lectures: 32 hours
Practical classes: 22 hours
Reccomended or required readings
Corradi dell'Acqua L.. Meccanica delle strutture 1 - Il comportamento dei corpi continui 2/ed. McGraw-Hill, 2010.
F.P. Beer, E. Russell Johnston Jr., J.T. DeWolf, D.F. Mazurek. Meccanica dei solidi, 5/ed. McGraw-Hill, 2014.
G.Bucci, C.Cinquini. Elementi di teoria della trave e soluzioni strutturali: esercizi risolti. S&Z.
Assessment methods
Written test with exercises + oral examination.
Further information
Written test with exercises + oral examination.
Sustainable development goals - Agenda 2030
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