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Course Sheet Academic Year of enrolment:
Professor and Collaborators:
Hours of classroom activity:
Prerequisites:
Basic notions of Physics and Calculus. Functions and their graphic representation.
Objectives
Contents Basic problems of Mechanics relevant to structures composed by beam and truss elements. The kinematics and statics of rigid bodies assembly are studied. The supports reactions and the internal forces of statically determined structures are computed
Extended Syllabus Kinematics of rigid bodies
- Definition of rigid body and Degrees of freedom
- Fundamental formula of rigid displacements
- Supports and kinematic performances
- Kinematic analysis of assembly of rigid bodies
Forces, Moments and Statics of rigid bodies
- Forces and moments (couples)
- Resultant force for a system of forces-moments
- Principle of transmissibility and the line of action
- Equivalence and equilibrium among systems of forces-moments
- Supports and static performances
- Static analysis of assembly of rigid bodies
Framed structures
- Definition of frame elements and framed structures
- Classification of framed structures
- Internal forces in structures (axial force, shear, torsion and bending moment)
- Calculation of reactions and internal forces of statically determined structures
Truss Structures
- Definition of a truss structure
- Forces in members of a truss using the Method of Joints
- Forces in members of a truss using the Method of Sections
Virtual work
- Definition of work and Theorem of virtual work
- The method of virtual work to evaluate reactions
- The method of virtual work to determine internal forces (beam and truss structures)
Geometric properties of areas
- Centroid
- First and second order moment of inertia
Recommended Bibliography "Statica Applicata alle Costruzioni" di L. Boscotrecase e A. Di Tommaso, Patron Editore
Thematic topics supplied by the theacer
Teaching Methods The study is organised in theoretical lessons and exercises. A practical experience is performed by the use of a physical model of a truss structure .for which the theoretical collapse load is estimated and checked against the results of loading tests
Evaluation methods Verification of learning:
The exam is composed by a written test and a speaking test.
Those who pass the written test gain access to the speaking test.
The speaking test is taken one week after the written test.
Tow intermediated checks are foreseen plus a final check at the end of the course
Contacts/More Information Attendance is recommended, but not mandatory. The attendance is monitored randomly.