Concrete that uses very less amount of energy in its production and it also produces very less carbon dioxide than our conventional type of concrete is called a sustainable concrete. Sustainable concrete construction is a step towards green and eco-friendly concrete construction practices to solve global environmental problems. The findings of a test program for the reinforcement against shear properties of continuous, unidirectional, flexible carbon-fiber polymer sheets attached to reinforced Pozzolime concrete (RC) beams are presented in this work. Nine Pozzolime concrete beams with dimensions (150 × 200) mm and length 1600 mm were used which satisfies partial replacement of cement by Pozzolanic materials at 50%. The resistance was seen to diminish as the Semi_Pozzolime (Replacing part of the cement with pozzolanic materials) was increased. After that, it was strengthened by adding a percentage of steel fiber in two different percentages 1.5 and 2%, reinforced beams with steel bar and with carbon fiber sheets (CFRB), placed around the beam in the shear area and at a vertical and inclined angle. The impact of various sheet layouts and combinations on the beams’ ultimate shear strength were investigated. According to the testing, RC beams can be strengthened in shear by using externally adhesively attached flexible carbon-fiber sheets. It was also noted that the strength rises with the amount of steel fiber across the beam section and the angle of the sheet layers. Of all the wrapping strategies that were investigated, inclined with 45-degree sheet offered the best reinforcing for concrete beams with steel fiber 2%.