The consecutive process of nuclear structure is carried all the way through the periodic table of the elements with the step by step addition of each proton and neutron to the stability model of the atomic nucleus. These models of nuclear structure are formed by the mechanical interlocking of Protons, Mesons, and Neutrons. In these models that are actually a type of mathematical equation for each nucleus. The protons, mesons, and neutrons, fit together like jigsaw puzzles and are held together mechanically somewhat like nuts and bolts. Metaphysical fields and forces such as the strong and weak forces are not assumed or needed in this explanation of nuclear physics. By following a few structural rules the most common and most stable nuclear isotope of each element is formed in a step by step process that also provides unique structural models of each of the 2000 or more radioactive isotopes that have been discovered.