# STRUCTURAL DRAWING AND DESIGN (UNIT 2) cod. 1005276

2° year of course - First semester
Professor
COLLINI Luca
Progettazione meccanica e costruzione di macchine (ING-IND/14)
Field
Ingegneria meccanica
Type of training activity
Characterising
30 hours
of face-to-face activities
3 credits
hub: -
course unit
in - - -

Integrated course unit module: STRUCTURAL DRAWING AND DESIGN

## Learning objectives

Knowledge and understanding:
At the end of the course, students will have acquired the basic knowledge of the mechanics of deformable elastic bodies, with particular reference to the technical theory of beams.
Skills:
The student will be able to perform the design and verification of some simple structural elements, with particular reference to the organs of machines.
Making judgments:
The student will have the tools to critically evaluate the output of a structural software.
Communication skills:
The student must possess the ability to clearly present a technical report on the design of simple structural elements.

## Prerequisites

It is essential to have a basic knowledge of calculus, linear algebra and physics.

## Course unit content

The course aims to provide a unified treatment of the main aspects of the mechanical behavior of structures, referring mainly to the linear elastic response but also with nods to the behavior beyond the elastic limit.
The first part of the course is devoted to the evaluation of the static schemes and strain in elastic solids under assigned external actions. Structural theories for beams and the evaluation of the load bearing capacity of structures will subsequently be addressed.

## Full programme

The topics covered are more specifically as follows.
Basic principles of mechanics. Fundamental equations of statics.
Constraints, Free Body Diagrams, calculation of constraint reactions in variously articulated bodies.
Diagrams of stress characteristics in elongated bodies (slender beams).
Stress tensor. Strain tensor. Mohr’s graphical representation. Strength criteria for ductile and brittle materials.
Constitutive relations. Linear elastic constitutive relation. Thermal variations.
De Saint Venant problem. Normal stress. Twist. Simple bending. Shear flow.
Technical theory of beams. Calculation of the elastic curve under the most varied load conditions. Solution of statically undetermined structures.
Notes on buckling. Euler beam.
The application aspect is taken care of through the introduction of a large number of solved examples and exercises.

## Bibliography

Recommended book:
S. Crandall, N. Dahl, T. Lardner, An introduction to the mechanics of solids, McGraw-Hill, 1978 ISBN-13 :978-0-07-013441-6
O. Belluzzi, Building Science, Vol I, Freeman, 1973.
F.P. Beer, É.R. Johnston, Jr., J.T. Dewolf: Solid Mechanics. Elements of building science (second edition). McGraw-Hill, Milano, 2002.
L. Corradi Dell'Acqua, Structural Mechanics, Vol I, Mac-Graw Hill, 2010.
Additional material presented during the lectures.

## Teaching methods

We provide lectures and exercises on the blackboard. As a rule, lectures will follow as much as possible the recommended text, so that the student can critically review what has been developed in the classroom. From time to time, homework exercises will be assigned; clarification will be given during office hours.

## Assessment methods and criteria

The exam is based on a written test and an oral test. In the written test, the student will be asked to solve a few exercises of the same type as those carried out in the classroom during recitation. The oral test will be aimed at verifying the learning of the basic theoretical knowledge.

## Other information

It is strongly recommended to attend the course.