Learning objectives
Knowledge and understanding
The Course presents basic concepts related to equilibrium of forces and to structural mechanics. Such concepts are needed to understand the main aspects of the structural design, and are preparatory to the Course of Structural Mechanics.
Applying knowledge and understanding
At the end of the Course, each student should be able to model simple structural systems (elastic frames), to determine their equilibrium conditions, and to describe the mechanical behaviour of statically determinate elastic frames.
Communication skills
At the end of the Course, each student should know all the technical words related to the topics treated.
Prerequisites
Laboratorio di Matematica
Course unit content
The topics treated in the Course are the following ones:
(A1) Systems of forces
(A2) Geometry of areas
(A3) Simple (beams) and complex (frames) structural systems
(A4) Statically determinate framed structures
(A5) Internal beam reactions
(A6) Particular problems
Full programme
(A1) Systems of forces
- Introduction
- Decomposition of forces
- Definition of forces and couples, both distribuited and concentrated
- Funicular curve
Exercises
(A2) Geometry of areas
- Introduction
- Static moment and centroid
- Moments of inertia
- Laws of transformation
- Principal axes and moments of inertia
- Mohr’s circle
Exercises
(A3) Simple (beams) and complex (frames) structural systems.
- Plane beams and frames
- Problem of structural system equilibrium: kinematic definition of plane constraints; static definition of plane constraints (constraint reactions) and cardinal equations of statics
- Framed structures: statically determinate (or isostatic); hypostatic; statically indeterminate (or hyperstatic)
- Principle of superposition
Exercises
(A4) Statically determinate framed structures.
Cardinal equations of statics; kinematic procedure; auxiliary equations
Exercises
(A5) Internal beam reactions.
- Direct method; differential method (indefinite equations of equilibrium for plane beams)
- Diagrams of characteristics of internal beam reactions
Exercises
(A6) Particular problems
- Closed-frame structures
- Plane trusses
Exercises
Bibliography
Recommended books:
- A. Carpinteri, “Scienza delle Costruzioni” Vol.1, Pitagora Ed., Bologna
- A. Carpinteri, “Scienza delle Costruzioni” Vol.2, Pitagora Ed., Bologna
- M. Capurso, "Lezioni di Scienza delle Costruzioni", Ed. Pitagora, Bologna
- E. Viola, “Esercitazioni di Scienza delle Costruzioni – Vol.1: Strutture isostatiche e geometria delle masse”, Pitagora Ed., Bologna
- E. Viola, “Esercitazioni di Scienza delle Costruzioni – Vol.2: Strutture iperstatiche e verifiche di resistenza”
- L. Boscotrecase, A. Di Tommaso, “La statica applicata alle costruzioni”, Patron, Bologna
All books are available by the library (Biblioteca Politecnica di Ingegneria e Architettura).
Additional educational material:
- Documentation provided by the teacher (Centro Documentazione - Ingegneria – Sede Didattica)
Teaching methods
The Course consists of theoretical lectures and practical tutorials. For each topic treated in the Course, exercises are solved so that each student can determine the solutions of the theoretical problems explained just before such practical tutorials.
The theoretical lectures are delivered by employing transparencies, which the students can get at the Documentation Office.
For each theoretical topic treated, practical tutorials are planned according to two modes:
- at first, by employing transparencies (which the students can get at the Documentation Office) to explain the solution methods;
- then, students solve some exercises in the lecture hall, and a common discussion on the difficulties to solve them follows.
Assessment methods and criteria
The final test of the Course of Laboratory of Structures 1 (Statics together with Structural Mechanics) consists of a written test which is weighted as follows:
- 70% application of theoretical concepts to practical cases, i.e. exercises (applying knowledge and understanding);
- 20% questions on theoretical concepts (knowledge and understanding);
- 10% ability to present scientific topics with the right technical words (communication skill).
Other information
Students must compulsorily attend all lectures and tutorials.
