Politecnico di Torino
Politecnico di Torino
Politecnico di Torino
Academic Year 2007/08
Fundamentals of structural mechanics
1st degree and Bachelor-level of the Bologna process in Electrical Engineering - Alessandria
1st degree and Bachelor-level of the Bologna process in Plastic Engineering - Alessandria
1st degree and Bachelor-level of the Bologna process in Mechanical Engineering - Alessandria
Teacher Status SSD Les Ex Lab Tut Years teaching
Goglio Luca ORARIO RICEVIMENTO O2 ING-IND/14 56 28 0 0 14
SSD CFU Activities Area context
ING-IND/14 7.5 B - Caratterizzanti Ingegneria meccanica
Objectives of the course
To give the basic knowledge required to understand the problems related to the structural design of machine elements, defining the parameters that accounts for applied stresses and material strength.
Expected skills
Understanding the typical problems of the structural design applied to the cases of machine and plant components.
Contents of the Mathematics and Physics courses, especially functions, fundamental matrix operations and eigenvalues/eigenvectors problems, as well as basic concepts of kinematics and statics.
Fundamentals of statics (forces, moments, resultant, equivalence). Constraints and reactions, point and distributed loads, translational and rotational equilibrium.

Stress state
Normal and shear stress, stress vector and stress tensor. Principal stresses and directions, Mohr circles for the stresses: features and physical meaning.

Strain state
Rigid body and deformation motion, linear and shearing strain, principal stresses and directions, Mohr circles for the strains. Stress-strain relationship (Hooke law), elastic energy. Resistance strain gauges, features, circuits, rosettes.

Static resistance of material
Tensile test: specimens, machines, results; ductile and brittle behaviour. Failure hypotheses and ideal stresses, safety factor. Basic information on creep, notch, cracks.

Monodimensional structural element
Geometrical properties of the sections: static moments, centroid, moments of inertia, product of inertia, principal axes and moments. Saint Venant problem: hypotheses and limits of validity, internal forces, extensional, flexural and torsional (circular sections) behaviour. Approximate solutions for thin walled sections under torsion. Stresses due to shear, shear centre.

Elementary structures
Internal forces and graphical presentation. Elastic deflection. Basic concepts on hyperstatic structures and 3D cases. Trusses: calculation of the normal forces in the rods (force polygon, Ritter section ). Elastic instability: Eulerian critical load.

Fatigue resistance of materials
Cyclic loading, crack initiation and nucleation, diagrams. Fatigue design of mechanical components, reducing factors. Fundamentals on variable amplitude and multi-axial loading.
Laboratories and/or exercises
Weekly classroom exercises on the topics presented during the lessons.
Course notes (downloadable from the site).
Revisions / Exam
Written examination including exercises and, questions to achieve a score up to 27/30. Optional oral examination to achieve higher scores.

Programma definitivo per l'A.A.2008/09

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