Twisting in structural components, especially with non-circular sections due to distortion, can be considered as a critical load to cause small or extensive failures. Nowadays, the saving of consumable materials is considered among the first priorities of engineering, and beams, as one of the main and frequent components in the load-bearing system of structures, can play an important role in the stability of the structure and at the same time the cost price of the structure. In this regard, the use of beams with a hollow core can help us achieve this goal. FRP fibers can be described as new developed materials outstandingly with high strength-to-weight ratio and durability in corrosive environments, which has made their application especially significant in space structures and marine industries. In this research, after validating the laboratory sample and confirming the obtained results, the modeling of 7 samples of concrete beams with circular and square holes with CFRP sheets under the effect of torsional force in different situations was done. The obtained results show that the samples in which CFRP sheets were used to improve the performance of the concrete beam had the same performance in the elastic region, and with the continuation of loading and changing the slope of the curve and entering the plastic region of the samples, we have seen an increase in the difference between the samples. Also, the values of stress and plastic strain in the places where CFRP sheets were used were of lower value and intensity and also spread in a shorter length. So, in the sample with CFRP sheets at the beginning and end of the beam, the amount of stress and strain distributed in a larger length is created. One of the significant results of this study is that the capacity of a beam with a square hollow core shows a 15.71% increase in torsional capacity compared to a circle with the same cross-sectional area, as well as a 12.15% increase in the capacity of a beam with four hollow circles in the cross-section compared to a circle with an equal area.