Building engineering and architecture

KINEMATICS. Position and displacement. Planar kinematics of a rigid body. Translation. Rotation about a fixed axis. Velocity. External and internal constraints. Kinematics classification of rigid bodies systems. STATICS. Active and reactive forces. External and internal forces. Conservative forces: weight and elastic forces. Equivalent forces systems. Simplification of a force and coupled system. Reactions of external and internal supports. Equations of equilibrium. Static classification of rigid body systems. Beam definition. Internal loads. Normal, shear and bending moment diagrams. WORK AND ENERGY. Relation between kinematics and statics. Equation of virtual work. Theorem of virtual displacements. Theorem of virtual forces. GEOMETRIC PROPRTIES OF AN AREA. Area. First moment for the area. Centroid of an area. Moment of inertia for an area. Polar moment of inertia. Product on inertia for an area. Parallel-axis theorem. Moments of inertia for an area about inclined axes. Principal axes.

The course requires knowledge of the main topics of Geometry and Physics. In particular, basic skills in linear algebra and mechanics are required: - differential and integral calculus on one variable - vector and matrix algebra - fundamentals of mechanics - forces and work

MECCANICA DELLE STRUTTURE (Cap.1-2-3), Luongo A., Paolone A., Ed. Masson. SCIENZA DELLE COSTRUZIONI, Casini P., Vasta M., Ed.Città Studi

Teaching activities consist of frontal classes on theoretical topics at chalkboard (2/3 of the lectures). Classroom tutorials are also provided to show applications and examples (1/3 of the lectures).

Class attendance is optional but recommended.

The final examination will be written and oral. Each student will be offered exercises, intended to verify the capability of solving kinematics and statics problems on rigid body systems, application of virtual work theorem and some questions about theoretical topics. The solution of the excercises will be discussed during the oral examination, as well as the theoretical fundamentals tought in the course.

CINEMATICA PIANA DEI CORPI RIGIDI, Bergamasco I., Capecchi D., De Angelis M., Sepe V., Ed. CISU. STATICA PIANA DEI CORPI RIGIDI, Capecchi D., De Angelis M., Sorrentino L., Ed. CISU. STATICA, Guagenti Grandori, Buccino, Garavaglia, Novati, Ed. Mc Graw-Hill. INTRODUZIONE ALLA MECCANICA STRUTTURALE, Claudia Comi, Leone Corradi Dell'Acqua - McGraw-Hill Education.

Teaching activities consist of frontal classes on theoretical topics at chalkboard (2/3 of the lectures). Classroom tutorials are also provided to show applications and examples (1/3 of the lectures).