General principles of statics. Fundamental problems of material resistance. Simple stress, combined stresses, buckling, main features of the structural elements. Building materials. Principles of construction techniques.
Sorbetti Guerri F. - Appunti di Statica e Scienza delle costruzioni (handouts provided during the course)
Sorbetti Guerri F. - Materiali da Costruzione (handouts provided during the course)
Obiettivi formativi
Learning Objectives
The aim of the course is to provide students with basic knowledge of structures, construction science and the characteristics and use of building materials
Prerequisites
Courses to be used as requirements (required and/or recommended)
Courses recommended: Mathematics
Scalar quantities and vectors. Oriented segments and vectors. Differences in addiction and subtraction between scalars and vectors. Varignon equation.
Static: .Forces: Definition, Force Characterization. Equivalent forces. Force Units. Forces applied to bodies. Convention on force Signs and designation. Rule of the Parallelogram of forces or Galileo.
Force composition and decomposition: force parallelogram method, successive succession method, funicular polygon method. Static moments of forces. Varignon theorem. Couples. Moments of couples.
Center of parallel vectors. Center of gravity. Determination of barycenter of flat figures. Static moments of flat figures. Moments of inertia. Moment of inertia of flat figures
Resistance module. Static body analysis. Balancing conditions of a rigid body. The constraints. Constraint Classification: Simple Constraints, Double Constraints, Triple Constraints, Perfect and Imperfect Constraints, Effective and Ineffective Constraints.
Unstable, isostatic, hyper-static systems.
Reactions of constraints. Calculation of constraint reactions. The substitutability of the loads with the resulting. Graphic calculation and analytical calculation of reactions. General static equations.
Single-beam systems: Supported beams, shelf beams, continuous beams, reticulated beams.
Multiple beam planar systems. External constraints and internal constraints.
Internal tensions. The six basic hypotheses. Deformations. Hooke's Law. Elasticity module. Breakage loads and safety loads. Building stability: General stability equation. Special stability equations. Sizing of the members: project calculation and verification calculation. The security of the structures. The method of tolerable tensions. Strength of materials: Tension, Compression, Shear, Bending, Torsional loading, Bending composed with Pressure and Tension, Buckling. Reticular structures.