FUNDAMENTALS OF STRUCTURAL MECHANICS
cod. 1011600

Academic year 2024/25
2° year of course - Second semester
Professor
Laura GALUPPI
Academic discipline
Scienza delle costruzioni (ICAR/08)
Field
Ingegneria dei materiali
Type of training activity
Characterising
48 hours
of face-to-face activities
6 credits
hub:
course unit
in ITALIAN

Learning objectives

1) Knowledge and understanding
a) To know the basic theory of solid and structural mechanics
b) To know and embrace the concepts of stress state, strain state, constitutive relationship
c) To understand relations governing the internal action and the elastic curve of a beam
d) To understand the response of beam elements under tension/compression, bending, shear, and torsion

2) Applying knowledge and understanding. To be able to:
a) apply the basic concepts of solid and structural mechanics
b) draw of the internal action diagrams for beams, for given load and constrain conditions
c) evaluate the deflection of a beam, for given load and constrain conditions
d) calculate the stress state of a beam subjected to tension/compression, bending, shear, and torsion
e) calculate critical loads for compressed beams
f) use the acquired knowledge for autonomously studying issues related to solid and structural mechanics

3) Making judgements
a) to evaluate the applicability of structural models to describe real structures and elements
b) to evaluate the applicability of the beam theory
c) to assess and compare independently the engineering solutions of a structural problem
d) choosing autonomously the right approach and the appropriate tools to solve a structural problem

4) Communication skills
a) to communicate effectively in written and oral form in the context of solid and structural mechanics
b) to know and know how to use the specific scientific / technical terminology of solid and structural mechanics
c) to be able to properly use the mathematical language to describe the treated issues

5) Learning skill
a) to catalog, schematize and elaborate the acquired knowledge
b) to correlate the different topics one other and with the basic and related disciplines
c) to autonomously use and apply the acquired knowledge

Prerequisites


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, in the linear elastic range.
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 will subsequently be addressed.

The topics covered are more specifically as follows.
• Basic principles of mechanics. Fundamental equations of statics.
• Constraints, Free Body Diagrams, calculation of constraint reactions.
• Shear force and bending moment diagrams in slender beams.
• Stress and strain. Linear elastic constitutive relation. Mohr’s graphical representation. Strength criteria.
• De Saint Venant problem. Normal stress. Twist. Simple bending. Shear.
• Solution of statically undetermined structures.
• Instability phenomena, Euler beam.
The application aspect is taken care of through the introduction of a large number of solved examples and exercises.

Full programme

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Bibliography


- F. P. Beer, E. R. Johnston, J. T. DeWolf, D. F. Mazurek, “Meccanica dei solidi. Elementi di scienza delle costruzioni”, McGraw-Hill
- Course notes

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. The teaching material will be uploaded on Elly platform weekly.

Assessment methods and criteria


The exam is based on a written test, 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 and formulary. The evaluation is on 0-30 scale.

Other information

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2030 agenda goals for sustainable development

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