When the bearing capacity of the soil layer of the building base is insufficient, foundation piles can be used to transfer the weight of the building to ensure safety. However, the reinforced concrete pile caps of the interconnected piles have to be designed with appropriate thickness to avoid shear damage under the extremely high axial pressure of the underlying columns, and the appropriate amount of bending reinforcement is also required to ensure that the pile caps will not be damaged by bending. In this study, a new analytical method is proposed to calculate the ultimate strength of 126 square pile caps supported by 4 piles based on the softened strut-and-tie (SST) model. The accuracy of the analytical method is investigated by comparing the analytical values with the test results. It was found that the ACI Code (2019) cross-section method uses the full width of the pile cap to calculate the bending strength of the pile cap, which tends to overestimate the ultimate strength of the pile cap controlled by the bending damage. The proposed analytical method can accurately identify the damage pattern and predict the ultimate strength of the pile cap.