The scientific aspects of the historical buildings are subject to selection and critical analysis in order to offer the development of cultural tools necessary to understand the structural concepts of the architectural organisms.
teacher profile teaching materials
Equilibrium equations.
Diagrams of stress (axial, shear, moment).
Kinematic analysis.
Rigid bodies with concentrated elasticity
Equilibrium equations, kinematics.
Introduction to the constitutive relation (simple elastic element).
Introduction to the displacement method. Solution of statically indeterminate systems.
Theory of the straight plane beam
Equilibrium equations, kinematics, and constitutive relation.
Solution of the elastic problem using the displacement method: the elastic line.
Comparison between the Timoshenko beam and the shear-rigid beam.
Theory of the plane beam with a curved axis
Equilibrium equations, kinematics, and constitutive relation.
Solution of the elastic problem using the displacement method.
Analysis of circular arches.
The problem of the funicular.
The Cauchy continuum
Introduction to plane problems.
Stress analysis (Cauchy’s theorem).
Strain analysis.
Geometric interpretation of local strain measures.
The linear elastic constitutive relation (Hooke’s laws).
Analysis of plane stress states.
Interpretation of cracking patterns.
Gurtin: An introduction to continuum mechanics.
Benvenuto: An Introduction to the History of Structural Mechanics.
Programme
Recalls on the rigid body modelEquilibrium equations.
Diagrams of stress (axial, shear, moment).
Kinematic analysis.
Rigid bodies with concentrated elasticity
Equilibrium equations, kinematics.
Introduction to the constitutive relation (simple elastic element).
Introduction to the displacement method. Solution of statically indeterminate systems.
Theory of the straight plane beam
Equilibrium equations, kinematics, and constitutive relation.
Solution of the elastic problem using the displacement method: the elastic line.
Comparison between the Timoshenko beam and the shear-rigid beam.
Theory of the plane beam with a curved axis
Equilibrium equations, kinematics, and constitutive relation.
Solution of the elastic problem using the displacement method.
Analysis of circular arches.
The problem of the funicular.
The Cauchy continuum
Introduction to plane problems.
Stress analysis (Cauchy’s theorem).
Strain analysis.
Geometric interpretation of local strain measures.
The linear elastic constitutive relation (Hooke’s laws).
Analysis of plane stress states.
Interpretation of cracking patterns.
Core Documentation
Lecture notes.Gurtin: An introduction to continuum mechanics.
Benvenuto: An Introduction to the History of Structural Mechanics.
Attendance
Attendance is mandatory. A minimum of 75% classroom attendance is required.Type of evaluation
During the course, exercises will be carried out to consolidate the knowledge acquired in the theoretical lectures. These exercises will also aim to introduce students to the use of Mathematica and SAP2000 software. By using these tools, students will perform the analysis of some structures agreed upon with the instructor. Students, in groups, will then be required to prepare a report summarizing the analyses carried out, which will be discussed during the examination. The assessment of learning is based on the presentation of a project report concerning the structural analysis of some typical elements of historical structures (such as floors, arches, and façades). The report is prepared in student groups, while the oral examination is individual.