Mechanics of Solids and Structures (Scienza delle costruzioni)
Teacher
Credits
12 CFU
Objectives
The course provides the fundamentals of Continuum Mechanics, with applications to the study of elastostatic problems for beam-like structures.
Acquired skills
To formulate and solve design problems for simple structural systems in linear elastostatics.
Contents
Elements of vector and tensor calculus (10 h)
Kinematic analysis of plane rigid systems (8 h)
Static analysis of plane rigid systems (12 h)
Strain and deformation analysis of continuous bodies (10 h)
Stress analysis of continuous bodies (10 h)
Virtual Work Theorem for continuous bodies (3 h)
Constitutive equations (10 h)
Linear elastostatics (5 h)
The De Saint-Venant problem (22)
Differential formulation of the equilibrium problem for linearly elastic beam-like structures (6 h)
Solution of statically indeterminate beam-like structures via Virtual Work Theorem (12 h)
Strength of materials and structural safety criteria (7 h)
Eulerian elastic stability of beam-like structures (5 h)
References
Davini C., Lezioni di Scienza delle Costruzioni.
Love A. E. H., A Treatise on the Mathematical Theory of Elasticity, Dover, New York, 1944.
Sokolnikoff I.S., Mathematical Theory of Elasticity, McGraw-Hill, 2nd edition, New York, 1956.
Truesdell C. A., The Elements of Continuum Mechanics, Springer Verlag, Berlin, 1966.
Class notes.
Type of exam
Written and oral examination