Learning objectives
The objective of the course is to provide the basic knowledge for structural design, with particular reference to simple beam-like structures characterised by linear elastic behaviour
Prerequisites
It is necessary to have at least attended the Mathematical Laboratory.
Course unit content
Theory of vectorsSystem of forcesGeometrical characterisation of plane regionsOne-dimensional structuresStatically determinate systemsInternal actionsSpecial structures Structural problems
Full programme
Theory of vectorsScalar and vectorial quantitiesVectorial representationVector componentsVectors’ operationsVectors’ spacesSystem of forcesIntroductionSum and forces decompositionConcentrated and distributed forces and momentsEquivalence of force systemsEquation of the cableGeometrical characterisation of plane regionsIntroductionConcentrated and distributed mass systemMoments of the first orderTransformation laws of the first order momentsCentre of massMoments of the second order (moments of inertia)Principal inertia axesMohr’s circleRegions with symmetriesSimple shapes regionsThin-shaped regionsOne-dimensional structuresDegrees of freedom of a rigid bodyConstraintsPlane structuresStatically determinate systemsEquilibrium equationsPrinciple of virtual workSuperposition principleStatically determinate systemsKinematic analysis of a structureDetermination of the reactions through:- static equations- auxiliary equations- Principle of virtual worktruss-like structuresInternal actionsDefinitionDetermination of the Internal actions of a structure through:- direct method- differential method- Principle of virtual workDrawing of the internal actions diagramsSpecial structures 2D Truss-like structuresClosed structuresStructural problemsReal problems and structural modeling
Bibliography
Stuff provided by the teacher (see the teacher’s website: http://www2.unipr.it/~brigh/index.htm).Boscotrecase L., Di Tommaso A., La statica applicata alle costruzioni, Patron, BolognaBeer, F. P., E. R. Johnston & J. T. DeWolf, Meccanica dei Solidi – Elementi di Scienza delle Costruzioni, IV edizione, McGraw-Hill, Milano (2010).Viola E., Esercitazioni di Scienza delle Costruzioni – Vol.1: Strutture isostatiche e geometria delle masse, Pitagora Ed., BolognaCarpinteri A., Scienza delle Costruzioni, Vol.1, Pitagora Ed., Bologna.Guagenti E., Buccino F., Garavaglia E., Novati G., Statica – Fondamenti di meccanica strutturale, McGraw-Hill, MilanoComi C., Corradi Dell'Acqua L., Introduzione alla Meccanica Strutturale (II Ed.), McGraw-Hill, 2007.Cesari F., Del Re V., Esercizi di Meccanica delle Strutture, McGraw-Hill, 2010.
Teaching methods
Lessons and practical applications developed by the students
Assessment methods and criteria
The final exam consists in written test and an oral test related to all the topics presented in the course
Other information
Attending to the course is mandatory.
