Considering the phase shift of jointing segment (including the variation of axial horizontal angle in relation to its reference phase) and the geometry deviations of segment assembly in launching platform, the realization of unstressed geometry with high precision for incrementally launched girder is achieved in this study. Firstly, some concepts, including phase, reference phase, instant phase
... [Show full abstract] and positioning datum line, are proposed for unstressed girder geometry. Furthermore, coordinate transformation between reference phase and instant phase is performed through translation and rotation of rigid body; transformation formulas under positioning elevations and instant phase for preassembled (or precast) segments of girder are established; the mathematical expressions of gradually adjusting the unstressed geometry error in the assembly process are determined. These achievements lead to the final settlements of the key problems in the evaluation of the unstressed geometry of assembled (or casted) segments as well as the determination of the positioning elevation of preassembled segments for incrementally launched bridges. The incremental launching process of the steel channel girder for the west approach of Fuyuan Bridge over Xiangjiang River is studied and it is shown that if the unstressed geometry of assembled segments is evaluated appropriately based on the proposed procedure and the positioning elevation of preassembled segments is determined, the unstressed girder geometry of the entire girder may perfectly match the aiming geometry considering that the above procedure is strictly followed and the launching process of girder is successful.