The lecture covers the fundamentals and engineering applications of the statics of elastically deformable bodies (elastostatics). At the beginning of the module, basic quantities of elastostatics, such as stress, strain, and constitutive law, are introduced using the tension/compression bar. These terms are then defined for the general three-dimensional case, with the constitutive law always limited to isotropic linear elasticity. Equivalent stresses for different strength hypotheses are treated as an elementary part of ultimate limit state design. The general building blocks of elastostatics - i.e., stresses, strains, and constitutive law - are then combined to derive the differential equations for selected structures. In particular, the bending line of the shear-rigid beam (Bernoulli theory) is derived and torsion problems are treated. Next, the concepts of work and energy for elastic deformable bodies are introduced and the theorems of Castigliano and Menabrea and the principle of virtual forces are treated. Finally, buckling problems are discussed. The module is the basis for numerous other modules in the compulsory and elective areas.