During the construction of shield cutting piles, reasonable thrust force and control measures can effectively control the deformation of bridge piles, ensuring structural stability and construction safety. Based on a cutting pile project of Beijing Metro Line 12, the penetration force of the straight section of the double-edged ripper during steady-state cutting is derived based on the Mohr-Coulomb strength criterion. The penetration force model of the arc segment of the double-edged ripper is established based on the contact stress distribution on the cutter surface. The penetration force of the ripper is combined with the mathematical model of cutting pile to obtain the calculation method for the total shield thrust force. The total thrust model is validated based on the measured thrust values on site, and the effect of the thrust force on the deformation of the pile foundation is analyzed. Furthermore, an intelligent management and control platform is built based on the calculation method of the thrust force acting on the pile. The platform and construction control measures are applied to the cutting piles project, and the bridge settlement is simultaneously monitored. The monitoring results show that the maximum vertical settlement of the bridge piers and abutments in the cross-river section during cutting piles is 8.48 mm, and the maximum lateral differential settlement is 1.4 mm, respectively, both within the safe control range.