Vector calculus. Bound vectors; thrust line. Kinematics of rigid infinitesimal motion. Constraints: kinematic properties. Kinemqatic analysis of beam systems. Equilibrium of rigid body. Constraints: static properties. Static analysis of beam systems. Bending moment, shear stress and axial stress. Differential equetions of equilibrium for a beam element. Plane trusses. Theorem of virtual work. Centroyd, second moment of area, principal axes of inertia, beam core.