MECHANICS OF BIDIMENSIONAL STRUCTURES

Course objectives

Starting from the theory of curved beam we introduce the concept of curvature and study its utility from the mechanical point of view. Starting from plane elasticity we study how a two-dimensional structure (yet plane) differs from a one-dimensional structure. We end up with the general model of Koiter for shells, structures which are both curved and two-dimensional.

Channel 1
ACHILLE PAOLONE Lecturers' profile

Program - Frequency - Exams

Course program
Introduction: Structural analysis and design; structural idealization; structural members and elements; structural systems; types of loads and supports for structures. Plane stress and plane strain condition: the governing equation for slub in cartesian and polar coordinates: thick-walled cylinder; circular hole in a plate subject to tension; concentrated force acting on the edge of an elastic half-plane. Thin plates: general behavior of plates, generalized strain and generalized stress; the governing equation for deflection of plates in cartesian and polar coordinates. Introduction to the theory of shells. Membrane and bending theory for shell of revolution. Determination of membrane solutions: spherical shell, conical shell, cylindrical shell. Multishell structures: forces and displacements method.
Prerequisites
Mechanics of solids and structures
Books
- Appunti del corso forniti dal docente e reperibili presso il Dipartimento di Ingegneria delle Strutture, Via Eudossiana 18, Facoltà di Ingegneria, “Sapienza” Università di Roma. - Abate Marco & Tovena Francesca (2006) - Curve e superfici, Springer Verlag. - Belluzzi Odone (1960) - Scienza delle costruzioni, vol. 3, Zanichelli. - Corradi Dell’Acqua Leone (1993) - Meccanica delle strutture, vol. 2, McGraw-Hill. - Daniel L. Schodek (2004) – Strutture, Pàtron Editore.
Teaching mode
Lectures and practical exercises “ex cathedra”.
Frequency
Although not mandatory, course attendance is strongly recommended.
Exam mode
Evaluation of the design of a case-study and oral exam.
Bibliography
- Appunti del corso forniti dal docente e reperibili presso il Dipartimento di Ingegneria delle Strutture, Via Eudossiana 18, Facoltà di Ingegneria, “Sapienza” Università di Roma. - Abate Marco & Tovena Francesca (2006) - Curve e superfici, Springer Verlag. - Belluzzi Odone (1960) - Scienza delle costruzioni, vol. 3, Zanichelli. - Corradi Dell’Acqua Leone (1993) - Meccanica delle strutture, vol. 2, McGraw-Hill. - Daniel L. Schodek (2004) – Strutture, Pàtron Editore.
Lesson mode
Lectures and practical exercises “ex cathedra”.
  • Lesson code1001897
  • Academic year2025/2026
  • CourseCivil Engineering
  • CurriculumIngegneria Civile (percorso valido anche ai fini del conseguimento del doppio titolo italo-francese e italo-spagnolo)
  • Year2nd year
  • Semester1st semester
  • SSDICAR/08
  • CFU6