The expected skills after the attendance of the course are: • Ability to define a force equilibrium and to calculate the constraint reactions of a simplified model of a component and/or a structure; • Ability to draw and compute the internal force diagrams in a simplified model of a component and/or a structure; • Ability to determine the most critical cross section and to define on it the point where the most severe stress state occurs; • Ability to define, depending on load type (static or fatigue) and material type (brittle or ductile), the adequate failure criterion and to calculate the equivalent stress; • Ability to evaluate the material properties and, if necessary, to choose the most suitable material for the application; • Ability to calculate, depending on the verification and/or design requirements, the adequate safety factor and/or the unknown geometrical dimension and/or the component endurance.

The required prerequisites for a useful attendance of the course are: • Concepts of Mathematics (study of functions, computation of derivatives and integrals, matrix algebra, eigenvalue problems); • Concepts of Physics (basic concepts of kinematics, statics and dynamics).

• Summary and completion of fundamentals of statics (forces, moments, resultants, equivalence of systems), concentrated and distributed loads, fundamental constraints, static determinacy. Equilibrium equations with respect to translation and rotation in plane and in space domain. (1CFU) • Internal force diagrams in one-dimensional structural elements subjected to plane and spatial loading conditions. de St Venant’s theory: tension/compression, bending, torsion and shear. Stress and strain state. (3,5 CFU) • Static mechanical characteristics of materials of engineering interest, failure criteria for materials with brittle and ductile behaviour, static safety factors. (1 CFU) • Deformed shape of bending beams (elastic line equation), overconstrained problem solution and elastic instability (buckling). (1 CFU) Uniaxial mechanical fatigue with high number of cycles (HCF): fundamental parameters, SN diagram, effect of the mean stress (Haigh, Goodman-Smith diagrams). From material to component: surface finishing effect, load type effect, dimension effect and notch effect. Component life and fatigue safety factor. Fatigue with varying amplitude stress (Palmgren-Miner cumulative damage rule). (1.5 CFU)

• Theory lessons (47 hours); • Practice classes on subjects presented at theory classes (33 hours).

Reference textbook: • A. Somà, Fondamenti di meccanica strutturale, Ed. Levrotto & Bella, 2019. Possible additional deepening textbooks: • R.C. Juvinall, K.M. Marshek, Fondamenti della progettazione dei componenti delle macchine, Ed. ETS. • J. A. Collins, Failure of materials in mechanical design, Ed. J. Wiley. • M. Rossetto, Introduzione alla fatica dei materiali e dei componenti meccanici, Ed. Levrotto & Bella. • L. Goglio, Fondamenti di Meccanica Strutturale (shareware).

Exam: Written test; Optional oral exam;

The exam has the aim of verifying the competences of the Section " Expected Learning Outcomes". The objectives that the exam intends to verify are therefore: the correct definition of the force equilibrium and the correct calculation of the constraint reactions, the correct calculation and graphical representation of the internal forces, the correct determination of the most critical cross section and the identification of the point where the most severe stress state occurs, the correct selection of the more adequate failure criterion for the calculation of the equivalent stress, the correct calculation of the safety factor and/or of the unknown geometrical dimension and/or of the endurance of the component/structure model under investigation. The exam is constituted by a written part and an optional oral part. The written part of the exam, whose duration is equal to 3 hours, consists in the solution of 2-3 numerical exercises and in the open-answer of 2-3 theoretical questions concerning all the subjects presented during the course. To attend the written part of the exam, it is necessary to: 1. Register with the usual online procedure; 2. Show up in front of the classroom that will be communicated in the web-page portal of the course (‘Avvisi’); 3. Show a valid ID card (student badge or identity card) for identification purposes and bring the following tools: scientific calculator, minimum stationery material (blue or black pen, pencil, rubber, ruler, set of square and compass). Sheets of paper will be provided by the teachers. During the written part of the exam, notes, textbooks and every other didactical stuff cannot be used. Exposition clarity and clear graphic representations constitute additional subjects for the evaluation. Students will check their own paperwork after teachers grading. This check is part of the exam session and it is taken exclusively within the date defined for the oral exam; exceptions may occur only for certified reasons. The oral part of the exam is optional for students who have obtained a minimum score of 18 in the written part. In order to take the oral part it is not necessary to register by means of the on-line procedure. If the oral exam is not attended: • for students having reached a score ranging between 18 and 26 in the written part, the final score of the exam will correspond to the score of the written exam; • for students having reached a score larger than 26 in the written part, the final score of the exam will be limited to 26/30. The oral part of the exam must be taken during the same call of the written part. The oral exam consists in at least 2 questions about the contents of the whole course. The absence of the student to the official date of the oral part will be considered as choice to not take part to the oral part and therefore as implicit acceptance of the score obtained in the written part, according to the above exposed rules. The final score of the exam is defined as the average of the two scores reached in the written and in the oral parts.

In addition to the message sent by the online system, students with disabilities or Specific Learning Disorders (SLD) are invited to directly inform the professor in charge of the course about the special arrangements for the exam that have been agreed with the Special Needs Unit. The professor has to be informed at least one week before the beginning of the examination session in order to provide students with the most suitable arrangements for each specific type of exam.