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Scienza delle Costruzioni 2
Structural mechanics 2
Fabrizio Davi'

Seat Ingegneria
A.A. 2015/2016
Credits 9
Hours 72
Period I
Language ENG

Prerequisites
None

Learning outcomes
The course aims to complete the knoweledges acquired in the previous course of Scienza delle Costruzioni (L) with a view towards theoretical aspects.

Program
Linear elasticity. Constitutive relations: material symmetries and the elasticity tensor; anisotropic materials. The elastic problems of position, traction and mixed. Energetical methods and variational formulation: minimum and mixed principles (Hu-Washizu and Hellinger-Reissner-Prager). The Saint-Venant for anisotropic solids with the Voigt's and Clebsch's hypotheses. Plates: the Kirchhoff and Reissner-Mindlin models for anisotropic materials. Dynamics; progressive plane waves and the acoustical tensor. Rods and plates dynamics: wave solutions and separable solutions: eigenvalue problems. Stability. Theory of plasticity and limit analysis for plane structures

Development of the examination
LEARNING EVALUATION METHODS
The final test consists of a written test and an oral colloquia.

LEARNING EVALUATION CRITERIA
The written test assesses the ability to find the collapse load for a statically-undetermined plane truss, the ability to analyze in terms of capacity design the same structure and the ability to perform a exact or approximated dynamic analysis of a plane structure. The oral test must verify the ability to solve problems of a theoretical or applicative nature by starting from the equations of mechanics of deformable bodies. It could also require proofs of theorems or deductions of equations, focusing more on the deductive aspects rather than on mnemonic.

LEARNING MEASUREMENT CRITERIA
In the written test the relevance of the obtained results with the solution is checked; in the oral test both the knowledge of the topics and the capability to develop solutions to proposed problem are checked.

FINAL MARK ALLOCATION CRITERIA
For the written exam the valuation is performed by assigning to each partial exercise a rating: the sum of these ratings is the final grade of the test. The maximum rating assigned to each exercise is known in advance and shown on the text. In the oral examination, the student can take for granted the result of written test or require an oral examination, in which case the vote is given taking into account the results of the written test (50% of overall assessment) and taking into account the topics knowledge, the capability to apply these knowledges to solve examples and the smartness and neatness of language.

Recommended reading
F. Davì- Note di Scienza delle Costruzioni 2 (Free download from Professor personal page on the University website) M.E. Gurtin - An introduction to Continuum Mechanics, Academic Press, 1981 M.E. Gurtin - The Linear Theory of Elasticity, in Mechanics of

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• Ingegneria Civile (Corso di Laurea Magistrale (DM 270/04))