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