Lecturer: Roberto Nascimbene  

Course name: Design of shells: plate, tank, ring and dome
Course code: 503254
Degree course: Ingegneria Civile, Ingegneria per l'Ambiente e il Territorio
Disciplinary field of science: ICAR/09
L'insegnamento è caratterizzante per: Ingegneria Civile
University credits: ECTS 6
Course website: n.d.

Specific course objectives

Aim of the course is to better understand the behaviour of two and three dimensional shell structures. Mainly to: - analyse, modelling and verify plate structures such as rectangular, square and circular plates. Reinforcement design and crack verification; elastic and elasto-plastic buckling analysis will be done; - calculate cylindrical shells (tanks, pipes and silos) using membrane and bending formulation; - evaluate the ring stiffners used to connect the wall with the roof; - analyse spherical cup (dome). Ordinary reinforced and precast concrete and steel structures will be considered.

Course programme

The may goal in studying a shell course is to reach the ability to analyse and design a shell from the bottom plate to the wall and at the end the roof with the ring stiffeners. Here are the schedule of the course:

plate
Design of reinforced concrete plate moving from the classical Lagrange-Sophie Germain equation; analytical solution; evaluation of thickness and reinforcement details;

tanks
Analysis and design of cylindrical shells such as tank, pipes an silos. Membrane and bending solutions. Design reinforcement, crack verification. Elatic and elatoplastic verification for steel tank;

Ring
Analysis and design of horizontal and vertical ring stiffners. Reinforced concrete and steel ring. Analytical solution for prestressed or postensioned reinforced concrete ring.

Dome
Analysis and design of spherical dome.

Seismic analysis of tanks
Some introduction in earthquake analysis of tanks. Equivalent mechanical models, Impulsive and convective components of the motion. Shear and overturning moment.

Course entry requirements

Basics in reinforced concrete and steel structures design.

Course structure and teaching

Lectures (hours/year in lecture theatre): 45
Practical class (hours/year in lecture theatre): 0
Practicals / Workshops (hours/year in lecture theatre): 0

Suggested reading materials

Gian Michele Calvi and Roberto Nascimbene. Progettare i Gusci. IUSS Press. http://www.iusspress.it/pc/viewPrd.asp?idcategory=7&idproduct=138.

Testing and exams

Written and oral examination at the end of the course.