Lateral load-displacement curve model for column foot-forked timber frames based on rocking and racking coordination
Wu Yajie1,2,3 Song Xiaobin1,2 Gu Xianglin1,2
1. Key Laboratory of Performance Evolution and Control for Engineering Structures of the Ministry of Education, Tongji University, Shanghai 200092, China；
2. College of Civil Engineering, Tongji University, Shanghai 200092, China;3. Xi'an University of Architecture and Technology, Xi'an 710055, China
Abstract：Mortise-tenon jointed timber frames are basic load-bearing elements in traditional Chinese timber structures. Previous research indicates that such frames are of rocking function and racking function to resist lateral loads under coupled actions of vertical and lateral loading. According to the conditions of deformation compatibility and moment equilibrium from rocking and racking, a curve model is proposed to explain the lateral load-displacement relationship of column foot-forked timber frames under vertical and lateral loading. The calculation methods for elastic limit load point, peak load pints and corresponding tangent stiffness as well as the descending stiffness are proposed. And the proposed model was verified by the test results of typical timber frames. It was found that the theoretical model agreed well with the experimental results with prediction error less than 15.5%. The research results can provide reference for the seismic performance analysis and structural design of traditional timber structures.
