（1 同济大学预应力研究所， 上海 200092； 2 中国建筑西南设计研究院有限公司， 成都 610041；  3 同济大学先进土木工程材料教育部重点实验室， 上海 200092； 4 华东建筑设计研究院有限公司， 上海 200002）

［摘要］基于前期研究及《预应力混凝土结构设计规程》（DGJ 08-69—2015）的修订工作，阐述了有粘结与无粘结混合配置预应力筋混凝土梁开裂阶段、正常使用阶段、承载能力极限状态下的计算公式，公式的形式与现行规范中有粘结预应力混凝土梁的计算公式统一，通过调整公式中相关参数的取值以考虑有粘结与无粘结预应力筋混合配置的影响。

［关键词］预应力混凝土； 有粘结； 无粘结； 混合配置

中图分类号：TU378-2文献标识码：A文章编号：1002-848X(2018)08-0021-03

Design of hybrid reinforcement concrete beams with bonded and unbonded prestressed tendons

Zhang Sen1,2, Xiong Xueyu1，3，  Bao Lianjin4

(1 Institute of Prestressed Structures, Tongji University, Shanghai 200092, China; 2 China Southwest Architectural Design and Research Institute Co.,  Ltd., Chengdu 610041, China； 3 Key Laboratory of Advanced Civil Engineering Materials(Tongji University), Ministry of Education, Shanghai 200092, China；4 Ｅａｓｔ Ｃｈｉｎａ Ａｒｃｈｉｔｅｃｔｕｒａｌ Ｄｅｓｉｇｎ＆Ｒｅｓｅａｒｃｈ Ｉｎｓｔｉｔｕｔｅ Ｃｏ．， Ｌｔｄ．， Ｓｈａｎｇｈａｉ ２００００２， Ｃｈｉｎａ)

Abstract:According to previous research and the preparation of revise of the Design Code for Prestressed Concrete Structures (DGJ 08-69—2015), computational formulas of hybrid reinforcement  concrete beams with bonded and unbonded prestressed tendons were presented for crack stage, service stage and bearing capacity ultimate stage. The form of the formulas was consistent with the formulas of bonded prestressed concrete beams in the existing codes, and the influence of the hybrid reinforcement with bonded and unbonded prestressed tendons was taken into account by adjusting the values of the relevant parameters in the formulas

Keywords:prestressed concrete; bonded; unbonded; hybrid reinforcement

*国家自然科学基金资助项目（５１１７８３２８，５１５７８４００）

通讯作者：熊学玉，博士，教授，博士生导师， Email：xueyu@tongji.edu.cn。