The investigations suggested by the objective of this work are focused on the calculation of the confinement pressure, for concrete structural elements with circular section, and of the effective lateral compression stress at the ultimate limit state (ULS) due to the confinement of these elements with carbon fiber fabric. The paper also refers to the execution and consolidation of concrete structural elements by confinement with carbon fiber fabric, so that following the concrete structural elements tests for obtaining the mechanical strength values, these would be comparable with the ones obtained from the calculation.