


Politecnico di Torino  
Academic Year 2007/08  
11AJRBK Mechanics of materials 

1st degree and Bachelorlevel of the Bologna process in Automotive Engineering  Torino 





Objectives of the course
The aim of the course is to introduce the student to mechanical properties of engineering materials, to develop awareness of interaction
between material and design, to provide tools for stress and strain analysis. 
Expected skills
At the end of the course, students will be expected to acquire knowledge, at an appropriete level, on: stress and strain calulation;
concept of design against yielding and use of safety factor; relashionship between load and stress in beams; work and elastic strain energy; statically indeterminate system; nature of fatigue initiation and high cycle fatigue; elastic instability. 
Prerequisites
Euclidean geometry; elements of vectorial and matrix algebra; elements of eigenproblems; differential calculus with ordinary and partial
derivatives, integral calculus; basic mechanics including forces, moments, transport and reduction, equivalence and equilibrium; basic kinematics. 
Syllabus
Beams
 Review of static equilibrium, static determinacy of frame, reactions;  diagrams for shear and normal force, torque and bending moment in beams, calculation of stress and strain;  calculation of second moment of area;  bending moment and curvature;  elastic instability failure for beam Materials and stress analysis  Traction tests, yield criteria;  Mohr's circle, principal stress;  Strain compatibility, elastic stressstrain relationship in one and three dimensions;  Failure prediction for constant stress, safety factor. Work and energy  Deformation work and elastic strain energy;  calculation of displacement by virtual work;  Theorems of Betti, Clapeyron and Castigliano;  Applications to statically indeterminate systems. Fatigue  Phenomenology of fatigue and characteristic curves (SN approach, diagrams of Haigh, GoodmanSmith, Moore);  stress concentration factor;  fatigue failure in one and three dimensions, safety factor;  fatigue damage and residual life. 
Laboratories and/or exercises
During the practical exercises, which represent a fundamental component of the learning process, students will carry out exercises in
the classroom on the topics dealt with during the lessons, especially regarding the verification of mechanical components. It is essential, in order to draw maximum advantage from such exercises, that the students apply the concepts and notions learned during the lessons autonomously. Didactic Material Lecture notes will be made available to the students. Reference texts: F.P. Beer, E. R. Johnston, J. T. DeWolf 'Meccanica dei solidi', McGrawHill M. Rossetto 'Introduzione alla fatica dei materiali e dei componenti' Levrotto & Bella Nash 'Resistenza dei materiali' Collana Schaum, n° 28 (exercises done) Exam Procedure The exam consists of a written paper which includes both theory and exercises. The oral test is optional. 
