- Docente: Vincenzo Dal Re
- Credits: 6
- SSD: ING-IND/14
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Forli
- Corso: First cycle degree programme (L) in Aerospace Engineering (cod. 8263)
Learning outcomes
The aim of this course is to introduce the methods for stress, strain and deflection calculation in elementary structures like straight beams, arches and axial-symmetrical shells, loaded in tension/compression, bending, torsion and shear. Many practical applications are presented and discussed.
Course contents
- Static of beams. Supported and fixed ends. Support reactions in straight beams and in circular arches.
- Tension, compression, shear, bending and torsion. Undefined equations of equilibrium. Shear and moment diagrams.
- Stresses. Normal stresses and shear stresses. Normal strains and shear strains. Elastic behaviour of materials: the Hook's law. Mohr's circle. Principal stresses. Resistance criteria: Rankine, Grashof, Tresca and Von Mises.
- Tension and compression. Elongation of beams. Strain energy. Stress concentrations. Tension in two directions.
- Flexure of bars. Distribution of stress and strain. The neutral axis. The maximum fibre stress. Strain energy. Convenient shapes of the cross-section. Stress concentrations. Beam not loaded in plane of symmetry.
- Torsion. Straight bar of uniform circular section under pure torsion. The angle of twist. Strain energy. Thin-walled sections. Principal stresses in pure torsion. Torsion in rectangular sections.
- Shear. Elementary theory of shear. Shear in rectangular sections. Shear in circular sections. Shear strain. Riveted structures.
- Combined loading. The principle of superposition. Examples.
- The elastic curve. Differential equation of the elastic curve. The Mohr theorem. Composition of deflections.
- Statically indeterminate beams. The principal beam. Examples.
- Elastic stability of straight beams. The Eulero's solution.
- Method of unit loads. Examples.
Readings/Bibliography
S. Timoshenko. Strength of Materials. Vol. 1&2. McGraw-Hill.
In Italian:
Odone Belluzzi. Scienza delle Costruzioni. Volume Primo. Zanichelli Editore.
Bologna.
Michele Capurso “Lezioni di Scienza delle Costruzioni” - Pitagora editrice. Bologna..
V. Dal Re. Lecture notes: Dispense del Corso di “Comportamento Meccanico dei Materiali”.
F. Cesari – V. Dal Re “Meccanica dei materiali” – McGrow-Hill. Milano
Teaching methods
Theoretical lessons are followed by practical applications and exercises.
Assessment methods
At the end of the course, a complete calculation of a simple structure, with numerical results, is required. During this test the use of books and handbooks is allowed.
Teaching tools
Blackboard and transparencies
Office hours
See the website of Vincenzo Dal Re