Recently, the importance of high Strength concrete has appeared due to its application in manufacturing most of the concrete structures and members, as well as to its importance in the implementation of civilian facilities like bridge bases, skyscrapers and in implementing the columns and platforms which carry oil installations carried out in the oceans and seas. The research aims to design concrete mixtures with cylindrical resistors ( 55- 65- 75 Mpa) according to the American code AcI-211-4R-93 by using local and appropriate additions as well as explaining the method used in designing. Then, studying the transformation in stress strain curve – deformation (σ- ζ ) undergoing a simple pressure on the previous samples throughout the available devices. Then, it was compared to the charts obtained mathematically .Law behaviour of stress strain and deformation curve was rated, in addition to modulus of elasticity taken from the chart. Couple of results and recommendations related to the issue were concluded, those which were applied in praxis.