PRINCIPLES OF STRUCTURAL DESIGN FOR INDUSTRY
cod. 1006530

Academic year 2017/18
3° year of course - Second semester
Professor
Academic discipline
Scienza delle costruzioni (ICAR/08)
Field
A scelta dello studente
Type of training activity
Student's choice
42 hours
of face-to-face activities
6 credits
hub: PARMA
course unit
in ITALIAN

Learning objectives

To develop the threshold skills required, the student is asked to demonstrate knowledge on the following points:

• Knowledge and understanding.
o To know the basic theory of solid and structural mechanics
o To know and embrace the concepts of stress state, strain state, constitutive relationship
o To know the response of elastic, plastic, elasto-plastic and viscoelastic materials
o To understand relations governing the internal action and the elastic curve of a beam
o To understand the response of elasto-plastic beam elements under tension/compression, bending, shear, and torsion
o To understand the response of 2-dimensional structural elements

• Applying knowledge and understanding.
To be able to:
o apply the basic concepts of solid and structural mechanics
MANAGEMENT ENGINEERING STUDENTS
o determine the stress state, starting from the strain state, and viceversa
o interpret simple programs for the determination and drawing of the internal action diagrams and of the elastic curve of a beam
o describe the stress and strain state of an elasto-plastic beam subjected to tension/compression, bending, shear, and torsion
o describe and classify buckling phenomena
o use the acquired knowledge for autonomously studying and deepening of issues related to solid and structural mechanics
MECHANICAL ENGINEERING STUDENTS
o determine the stress state, starting from the strain state, and viceversa, for solids with different material response
o write simple programs for the determination and drawing of the internal action diagrams and of the elastic curve of a beam
o determine and calculate the stress and strain state of an elasto-plastic beam subjected to tension/compression, bending, shear, and torsion
o classify buckling phenomena and evaluate the related critical loads
o use the acquired knowledge for autonomously studying and deepening of issues related to solid and structural mechanics, and for the design of structural elements

• Making judgements
o to evaluate the applicability of structural models to describe real structures and elements
o to evaluate the applicability of the beam theory and of numerical methods
MANAGEMENT ENGINEERING STUDENTS
o to assess and compare independently the engineering solutions of a problem with limited complexity
MECHANICAL ENGINEERING STUDENTS
o to assess and compare independently the engineering solutions of a problem
o to analyze a problem related to solid and structural mechanics, choosing autonomously the right approach and the appropriate tools for its solution

• Communication skills
o to communicate effectively in written and/or oral form in the context of solid and structural mechanics
MANAGEMENT ENGINEERING STUDENTS
o to know and know how to use the specific scientific / technical terminology of solid and structural mechanics
MECHANICAL ENGINEERING STUDENTS
o to know and know how to use the specific scientific / technical terminology of solid and structural mechanics, possibly also in English
o to be able to properly use the mathematical language to describe the treated issues


• Learning skills
o to catalog, schematize and elaborate the acquired knowledge
o to correlate the different topics one other and with the basic and related disciplines
o to autonomously use and apply the acquired knowledge

Prerequisites

It is essential to have a basic knowledge of calculus, linear algebra, physics and of solids and structural mechanics

Course unit content

The expertise are related with the study of the behavior of structures and structural elements under the effect of various types of actions. In particular, the course deepens issues treated in the courses “Structural Mechanics” (for mechanical engineering students) and “Planning and design of industrial components - module 2” (for management engineering students), and addresses new issues.
The first part of the course is devoted to the study of Solid Mechanics, and concerns stress and strain analysis and constitutive relations (linear and nonlinear elasticity, elastoplasticity and viscoelasticity). The second part is focused on Structural Mechanics. First, the theory of statically determined and undetermined beams will be used to develop numerical codes for the determination of the internal action diagrams and of the elastic curve. The following issues will be the response of beam elements, made of an elastoplastic material, under tension/compression, bending, shear and torsion, the study of plane structural elements under in-plane (membrane response) and out-of-plane (flexural response) loading, and stability and buckling.
The last part of the course will be devoted to development, deepening and implementation of different themes addressed during the course by the students, through Project Works.

Full programme

1. Constitutive relations
1.1. Revision of analysis of Stress and Strain. Classification of stress states.
1.2. Constitutive models for engineering materials. Linear and non-linear elasticity, elasto-plasticity and plasticity, viscoelasticity

2. Development of numerical codes for the determination of the elastic curve
2.1. Revision of Calculus of statically indeterminate structures, internal action relationships and diagrams, moment-curvature relationship, governing differential equation for the elastic curve.
2.2. Development of numerical codes (in Matlab) for the determination of the internal action diagrams
2.3. Development of numerical codes (in Matlab) for the determination of the elastic curve

3. Elastoplastic Analysis of beams
3.1. Axially Loaded Members. Plastic deformations
3.2. Pure Bending. Plastic deformations and residual stress. Plastic hinges.
3.3. Torsion. Plastic deformations and residual stress.
3.4. Shear

4. 2-dimensional flat elements
4.1. plane structural elements under in-plane loading (membrane response)
4.2. plane structural elements under out-of-plane loading (flexural response). Mindlin–Reissner and Kirkhhoff-Love plate theories

5. Stability and buckling
5.1. Buckling of compressed elements. Euler’s critical load.
5.2. Structures with concentrated elasticity
5.3. Flexural and torsional instabilities. Local instabilities.

Bibliography

F. P. Beer, E. R. Johnston, J. T. DeWolf, D. F. Mazurek, "Meccanica dei solidi - Elementi di scienza delle costruzioni", MCGraw-Hill, 4° edizione (in italian, available also in english).

Other suggested books:
• S. H. Crandall, N. C. Dahl, T. J. Lardner, “Introduction to the Mechanics of Solids”, McGraw-Hill, 2° Edizione.
• O. Belluzzi, “Scienza delle Costruzioni”, Zanichelli (in italian).

Teaching methods

Lectures and exercises on the blackboard. As a rule, lectures will follow as much as possible the recommended text. Homework exercises will be assigned. The teaching material will be uploaded on Elly platform weekly.
In the second part of the course, student will be asked to autonomously develop and deeply study issues related to solid and structural mechanics, and/or to perform design exercises based on the content of the course, with particular reference to mechanical and industrial applications. This will be developed individually or in small groups (up to 3 students). The topics can be chosen by students from those proposed by the teacher, or proposed by the students themselves. The teacher will guide and support students at this stage. The report will be discussed in the exam.
The teacher is available for clarification during office hours or by appointment.

Assessment methods and criteria

The exam is based on
• a written test (lasting 2 hours), where the student will be asked to solve a few exercises of the same type as those carried out in the classroom during recitation. During the written test, the student can use calculator, self- written formulary, as well as pens, pencils, etc. The evaluation is on 0-30 scale and students are admitted to the oral exam if at least 18 points are achieved. The marks will be published on Elly platform.
• an oral test, consisting in the discussion of the project developed by the student (develop and deeply study of particular issues related to solid and structural mechanics, and/or design exercises based on the content of the course, with particular reference to mechanical and industrial applications). During the oral examination will be verified that the student knows and has successfully used the knowledge of the mechanics of solids and structures, applied to a problem chosen by him/herself, and can communicate procedures and obtained results properly using the scientific/technic terminology. For teamworks, it will be verified that each member of the group master all the work in its entirety and explicit parts that he personally developed. The evaluation is on 0-30 scale and the mark is communicated to the student at the end of the oral exam.
The final mark is the average of written and oral marks. “30 cum laude” is given to students who achieve the highest score on each item and use precise vocabulary.

Other information

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