The purpose of the course is to revise the main concepts of the mechanics of solids and structures and to introduce the basics of computational mechanics.

The contents introduced with the course should let students perform the numerical analysis of structural problems with a critical assessment of the results. 

- Understand the basics of the numerical approaches commonly employed in structural analysis, and become aware of their limitations.

- Gain the ability to perform the numerical analysis of prototype structures, with a critical assessment of the results.

- Present the results in a clear synthetic form, justifying all assumptions made.

• Linear elastic structural problems: displacement-based formulation.

• Linear elements (trusses, thin and thick planar beams): shape functions, compatibility, elastic stiffness matrix, equivalent nodal forces, boundary conditions, reaction forces.

• Solution details: beam deflection, internal force distribution.

• Geometric stiffness matrix: cables; buckling problems.

• Solid elements: shape functions, compatibility matrix, stiffness matrix, selective and reduced integration, stress recovery. Plane problems. Thermal effects.

The basics of Solids Mechanics and of Structural Mechanics should be known in advance.

The examination consists of a colloquium on the course content and of the critical discussion about the results of the numerical application(s) developed by the student.

The student must be able to self-assess the correttness of the delivered homeworks, making use of all available information sources (handbooks, web, specific software, group discussions, ...).