93649 - Mechanics of Structures Workshop T

Learning outcomes

By the end of the course, the student will understand the elements of solid mechanics and structural mechanics, including hypotheses, formulations, and developments in the analysis within the linear elastic field.

Course contents

Recommended Prerequisites/Corequisites

Students entering this course should be familiar with and able to use basic concepts of mathematical analysis and rational mechanics.

All lectures will be conducted in Italian. Therefore, comprehension of the Italian language is necessary to successfully follow the course and utilize the provided teaching materials.

Syllabus

• Purpose, Hypotheses, and Models of Structural Mechanics

• Deformation Analysis

  • Displacement and deformation
  • Strain tensor and its physical significance
  • Principal directions and dilations of deformation
  • Internal and external congruence
  • Equations of congruence

• Stress Analysis

  • Surface and volume forces
  • Equilibrium equations of rigid bodies
  • Internal stress and stress tensor
  • Principal directions and stresses
  • Mohr’s circles
  • Equations of equilibrium

• General Relationships

  • Theorem of virtual work
  • Principle of virtual work: alternative formulations of equilibrium and congruence
  • Applications to beams

• Elastic Body

  • Material behavior
  • Tests on ductile and brittle materials
  • Elastic behavior and deformation work
  • Linear elastic body
  • Isotropy hypothesis
  • Elastic equilibrium problem
  • Superposition of effects
  • Uniqueness of the solution
  • Clapeyron, Betti, and Maxwell theorems

• Strength Criteria

  • Ultimate state and safety coefficient
  • Tresca criterion
  • Huber-Hencky-Mises criterion
  • Criteria for brittle materials

• Saint-Venant’s Problem

  • General setup
  • Saint-Venant’s hypothesis and postulate
  • Normal stress
  • Straight and deviated bending
  • Eccentric normal stress
  • Torsion
  • Approximate treatment of shear
  • Thin-walled open and closed sections

• Theory of Structures

  • Beam and stress characteristics
  • Constraints
  • Static and kinematic analysis
  • Pressure curve
  • Truss structures
  • Mass geometry
  • Structural symmetry and semi-symmetry
  • Elastic line
  • Calculation of displacement components
  • Hyperstatic structures: force method and displacement method
  • Neglect of some effects
  • Stability of elastic equilibrium
  • Eulerian critical load

Readings/Bibliography

• Slides and lecture notes (https://virtuale.unibo.it)
  
• M. Capurso, Lezioni di Scienza delle Costruzioni, Pitagora Editrice
  
• E. Viola, Esercitazioni di Scienza delle Costruzioni, Vol. 1 and 2, Pitagora Editrice Bologna, 1993
  
• Claudia Comi, Leone Corradi Dell'Acqua - INTRODUZIONE ALLA MECCANICA STRUTTURALE 3/ED, 2016
  

Teaching methods

The entire course syllabus is covered during lecture hours. Lectures are supplemented with in-class exercises to guide students in solving specific structural mechanics problems based on the knowledge acquired in class. At least one visit to the Structural and Geotechnical Engineering Laboratory (LISG) is planned to show students tests on materials and structures.

Due to the types of activities and teaching methods adopted, attending this educational activity requires all students to complete modules 1 and 2 in e-learning mode [https://www.unibo.it/it/servizi-e-opportunita/salute-e-assistenza/salute-e-sicurezza/sicurezza-e-salute-nei-luoghi-di-studio-e-tirocinio] and participate in module 3 of specific training on safety and health in study places. Information on dates and attendance methods for module 3 can be found in the appropriate section of the study course website.

Assessment methods

Learning assessment is through a final exam, which verifies the acquisition of the expected knowledge and skills via a written test, lasting 2.5 hours without the aid of notes or books, followed by an oral test.

The written test consists of solving some simple exercises (typically 3) similar to those tackled during in-class exercises. A satisfactory evaluation of the written test is required to proceed to the oral test.

The oral test consists of questions aimed at verifying the student’s knowledge of the topics covered in class.

Two written tests during the year may replace the final written test.

Students who demonstrate mastery of the key concepts illustrated in the course will pass the exam. Failure to pass the exam may result from insufficient knowledge of these concepts.

Teaching tools

Classroom support tools include the blackboard, digital board, and video projector.

At least one visit to the Structural and Geotechnical Engineering Laboratory (LISG) is planned.

Office hours

See the website of Giovanni Castellazzi

See the website of Francesco Ubertini

See the website of Luca Patruno