The V-shaped cutting disc is one of the types of cutting discs used for the head of the full-section tunnel boring machine, and calculating the forces applied to it is of great importance for the design of the head. Today, with the advancement of modeling software, including LS-DYNA software, it is possible to use them to predict the forces applied to the discs. In this article, by conducting a series of simulations with the aforementioned software, the effect of linear velocity and edge angle on the forces has been investigated in the penetration depth. Accordingly, the simulation results show that as the penetration depth of three discs with edge angles of 60, 90 and 120 degrees increases from 2.5 to 7.6 mm, the vertical force increases by 36, 51 and 86 percent, respectively, and the rotational force increases by 79, 96 and 120 percent, respectively. The linear velocity effect rate for the vertical and rotational forces is +23.85 and +3.86 kN, respectively. Also, the modeling shows that the force on the peripheral disks is much greater than that on the central disks. At all simulated speeds, the force on the shear disk increases with increasing disk edge angle and penetration depth, which shows a direct relationship between the contact area and the force on the shear disk. According to the relationships presented in this article, the effect of penetration depth is much greater than the effect of the edge angle.