# 30979 - Statics

### SDGs

This teaching activity contributes to the achievement of the Sustainable Development Goals of the UN 2030 Agenda.

## Learning outcomes

To provide the elements of solid mechanics useful in determining the stress and strain status of beams subject to the main stress characteristics: axial stress, bending moment, torsion and shear. To provide the basic knowledge of the mechanical properties of materials, experimental methods and quality control procedures. To make the students able to solve hyperstatic structures and perform structural safety assessment.

## Course contents

REQUIREMENTS/PRIOR KNOWLEDGE

A prior knowledge and understanding of Mathematics and Physicsis required to attend with profit this course.

All lectures will be in Italian. It is therefore necessary to understand the Italian language to take advantage of the course and to use the teaching material provided.

PROGRAM

STATICS AND KYNEMATICS OF RIGID SYSTEMS

Rigid body. Rigid systems. Constraints. Static and kinematic analysis. Statically determined structures. Graphical and analytical solution methods. Principle of Virtual Works for rigid systems. Beam model and internal forces. Truss structures. Gerber beams.

CROSS SECTION GEOMETRY PROPERTIES

Centroid. First and second order moments. Axis rotations. Mohr's graphical method.

ELEMENTS OF SOLIDS MECHANICS

Volume and surface forces. Rigid body equilibrium. Concept of stress and stress tensor. Principal stresses and directions. Mohr's circles. Equilibrium equations. Displacement, deformation and strain. Strain tensor and physical meaning. Principal strains and directions. Compatibility equations. Elastic behavior and strain energy. Linear elasticity. Isotropy. Hooke's laws. The linear elastic equilibrium problem. Energy theorems.

MATERIALS PROPERTIES AND TESTING

Behavior of materials. Testing of ductile and brittle materials. Mechanical properties and characterisation of steel, concrete, masonry and wood. Destructive and non-destructive tests.

· PASCALE, Lezioni di scienza delle costruzioni, Voll. 1 e 2, Esculapio - Progetto Leonardo, Bologna.

· VIOLA, Esercitazioni di scienza delle costruzioni, Voll. 1 e 2, Pitagora, Bologna.

· PASCALE, Scienza delle costruzioni: esercizi d'esame svolti, Esculapio - Progetto Leonardo, Bologna.

· BEER, JOHNSTON, Scienza delle costruzioni, Mc Graw Hill, Milano.

· DI TOMMASO, Fondamenti di scienza delle costruzioni, Patron, Bologna.

· CARPINTERI, Scienza delle costruzioni, Pitagora, Bologna (con esercizi).

· BELLUZZI, Scienza delle costruzioni, Zanichelli, Bologna.

## Teaching methods

Mostly classroom lectures and exercises, using blackboard.

Some slides presentations.

A lesson will be devoted to practical activity in laboratory for the part of the material mechanics.

## Assessment methods

he exam does not refer to the teaching module, but to the integrated course of Mechanics of solids and structures T.

The exam consists in a single session and includes one written exercise (solution of a structure or study of a section) and questions on every part of the theory and its applications.

## Teaching tools

Guided exercises, with the collaboration of the teaching tutor.

## Office hours

See the website of Giovanni Pascale

See the website of Barbara Bonfiglioli

See the website of Elena Gabrielli