About the author:

1. Shaanxi Architecture Science Research Institute Co., Ltd., Xi􀆳an, Shaanxi 710082, China;2. Shaanxi Branch of China Construction First Group Co.,Ltd.,Xi􀆳an, Shaanxi 710075,China;3. College of Civil Engineering, Xi􀆳an University of Architecture and Technology, Xi􀆳an, Shaanxi 710055, China

Abstract:

Reinforced concrete slab⁃column structures are widely used in modern long⁃span buildings dueto their advantages of high space utilization and economic efficiency in construction. However, traditionalprestressing tendon laying methods in multi⁃span dense areas often lead to some problems such asincreased friction, linear displacement, sheath wear, and low construction efficiency,which severelyconstrain project quality and progress. To address these challenges, this paper proposes an optimizationmethod for the prestressing tendon laying sequence based on graph theory and topological sorting. Byconstructing an elevation difference matrix, the spatial relationships between longitudinal and transversesteel strands are abstracted into a directed weighted bipartite graph model, and Kahn􀆳s algorithm isemployed to generate a conflict⁃free laying sequence. Engineering practice shows that this methodsignificantly reduces cross⁃interference, improves construction efficiency by approximately 83%, andeffectively ensures the precision of tendon alignment and structural durability.