CODE  66323 

ACADEMIC YEAR  2021/2022 
CREDITS 

SCIENTIFIC DISCIPLINARY SECTOR  ICAR/08 
LANGUAGE  English 
TEACHING LOCATION 

SEMESTER  2° Semester 
TEACHING MATERIALS  AULAWEB 
Structural Mechanics is a collection of mechanical models concerning bodies in which the shape of the body permits us to introduce simplified hypotheses that give rise to reliable and efficient solutions in applications. Firstly, we introduce the linear elasticity theory that, for many engineering applications, offers a very useful and reliable model for design. Then, invoking the set of elasticity theory equations, structural mono and bidimensional models are illustrated.
The unit is focused on the analysis of the elastic system equilibrium and strain; particularly, the course aims to study the redundant structure equilibrium, strength and stability conditions.
The goal of the course is to educate the students with fundamental mechanics of solids and structures to understand with the use of different mechanical models (1D2D structural theories or 3D solid mechanics) the elastic response of solid bodies made with conventional or composite materials subjected to different loading conditions. Particular attention is devoted to the phase of idealization of the model and to the discussion of results obtained with the different models.
Lectures: 52 hours
The course is articulated in the following four parts.
1) Linear elasticity theory. The principles of stress and strain and the stressstrain relations are obtained with particular attention to the different costitutive equations for structural materials used in Yacht Design. The formulation of the Boundary Value Problem (BVP) of elasticity theory is presented for different boundary conditions (global, punctual; traction, displacement, mixed and contact). Because of the complexity of the elasticity BVP, analytical solutions to fully threedimensional problems are very difficult to accomplish. Thus, most solutions are developed for reduced problems that include i.e. twodimensionality to simply particular aspects of the formulation and the solution.
2) Plane problems. For the useful in many engineering applications the formulation of twodimensional problem in elasticity is examined in details in Cartesian and coordinate systems. The two basic theories of plane strain and plane stress (and generalized plane stress) are developed and the Airy stress function solution method employed to solve a selection of explicit solutions useful in applications. The following explicit solutions are presented: rectangular domains with polynomial loading conditions, 2D beam solution, thickwalled cylinder in pressure, stress intensity factor around the hole in a plate, Flamant problem. Exercises with Maple software.
3) Bidimensional theories (plates and shells). Invoking the sets of equations of elasticity the basic equations of the classical Kirchhoff’s bending theory for stiff plates are derived; the field equation in terms of displacements is used to solve plates bending problems. Navier and Levy method solutions are adopted to present explicit solutions for rectangular plates. Then, circular plate are investigated for different loading and boundary conditions. The refined MindlinReissner theory in which the effects of transverse shear deformation on the bending of thick plates are take into account, is presented and, comparisons with the two models performed. The large deflection Von Karman theory is obtained to determine the critical buckling load of plates according to the equilibrium method. A brief introduction to the shell theory is illustrated. Exercises with Maple software.
4) Introduction to the Finite Element Method (FEM) for structural models. The energetic approach for the solution of the elastic problem is introduced. A brief introduction of finite element method is presented for the structural mechanics applications (phases, elements, nodes, shpeform functions, assemblage, stiffness matrix, solution procedure). Examples with Maple software.
Corradi Dell’Acqua, L., Meccanica delle strutture 2, McGrawHill, London (2010).
Nunziante, L., Gambarotta, L., Tralli, A., Scienza delle Costruzioni, McGrawHill (2008).
Mase, G.T. Mase, G.E., Continuum Mechanics for Engineering, CRC Press, New York (1999).
Sadd, M.H., Elasticity: Theory, Applications, and Numerics, Elsevier (2014).
ROBERTA SBURLATI (President)
ROBERTO CIANCI
All class schedules are posted on the EasyAcademy portal.
The exam is oral with two/three questions concerning the different parts of the program.
A laboratory in which an elastic plane solution problem and/or a plate elastic solution are obtained using the Maple software is proposed to the students during the course (optional, presence is required).
Websupport: notes and slides in aulaweb (slides in English and notes in Italian).
The exam is oral with two/three questions concerning the different parts of the program.
Date  Time  Location  Type  Notes 

13/01/2022  10:00  LA SPEZIA  Orale  
08/02/2022  10:00  LA SPEZIA  Orale  
20/06/2022  14:30  LA SPEZIA  Orale  
11/07/2022  14:30  LA SPEZIA  Orale  
05/09/2022  14:30  LA SPEZIA  Orale 