[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-450322-105":59,"doc-detail-450322-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","strut-and-tie-model-for-predicting-shear-behavior-of-interior-rc-beam-column-joints-under-seismic-loading","Strut and tie model for predicting shear behavior of interior RC beam column joints under seismic loading","","Reinforced concrete beam–column joints are critical components with complex mechanical behavior, and joint shear response governs seismic performance. This study adopts a strut–and–tie approach for interior RC beam–column subassemblages and evaluates the joint shear stress–strain relationship using six specimens subjected to cyclic loading. The proposed strut–and–tie model is built from deformation characteristics and crack patterns, enforcing force equilibrium and deformation compatibility. Predicted shear stress–strain envelope curves show closer agreement with experimental data than the Zhao–Yang model, with lower MAE and higher R², and finite element OpenSees verification further confirms applicability.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/strut-and-tie-model-for-predicting-shear-behavior-of-interior-rc-beam-column-joints-under-seismic-loading/450322/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/strut-and-tie-model-for-predicting-shear-behavior-of-interior-rc-beam-column-joints-under-seismic-loading/450322.png","ImageObject",300,407,{"name":92,"@type":93},"Aurelia","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-05","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the main goal of the study on interior RC beam–column joints?","Question",{"text":112,"@type":113},"To assess the joint shear stress–strain relationship for interior RC beam–column subassemblages under seismic loading using a strut–and–tie approach.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many interior RC beam–column joint specimens were tested, and how were they loaded?",{"text":117,"@type":113},"Six interior RC beam–column joint specimens were tested under cyclic loading.",{"name":119,"@type":110,"acceptedAnswer":120},"How does the proposed strut–and–tie model perform compared with the Zhao–Yang model?",{"text":121,"@type":113},"The proposed STM yields shear stress–strain envelope curves in closer agreement with experimental data, with significantly lower MAE for peak shear stress and a significantly higher R².","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},450322,1791100091,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":39,"category_name":40,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":26},1099514068365,"https://ap-avatar.wpscdn.com/avatar/10000253d8d9f28188e?_k=1776742907772140068","[www. nature.com/scientificreports](www. nature.com/scientificreports)  \nOPEN  \nStrut and tie model for predicting shear behavior of interior RC beam column joints under seismic loading  \nWentong Zhao1􀀍, Yulin Yan1, Yaxin Yue2, Ru Xue1 & Xiang Yan3  \nBeam–column joint with complex mechanical behavior is an important part of reinforced concrete (RC) structures. The present study aims to assess the joint shear stress–strain relationship by adopting strut–and–tie approach of the interior beam-column subassemblages. Totally six interior RC beam–column joint specimens were tested under cyclic loading. The test results of beam–column subassemblages show that under high shear stress, the joint cores always perform obvious inelastic shear deformations. It is evident that when using finite element simulation to study the seismic behavior of RC beam–column joints, accurately modeling the shear stress–strain relationship of joint core is critical for successfully implementing the finite element analysis. Based on the experimental results, this study innovatively proposed a strut–and–tie model (STM) for RC interior beam–column joints to investigate shear behavior within joint core. This STM was established according to the deformation characteristics and the crack patterns of the joint region. The force equilibrium conditions and deformation compatibility requirements of this model were formulated. Comparisons were made between the predicted and published experimental results of the twenty–three RC interior beamcolumn joints with respect to joint shear stress and strain envelope curve at this state to investigate the adequacy of the proposed STM. The results demonstrate that the joint shear stress and strain envelope curves predicted by the proposed STM show closer agreement with experimental data. The mean absolute error (MAE) of peak shear stress calculated by the proposed STM is significantly lower than that of the Zhao-Yang model. The coefficient of determination (R2 ) is significantly higher than that of the Zhao-Yang model. These findings confirm that the proposed STM exhibits high prediction accuracy for the shear stress–strain relationship of beam-column joints.The calculation results of the proposed STM were used infinite element analysis of the beam–column joint tests based on the Beam Column Joint Element in the OpenSees software. The load–displacement hysteresis curves and joint shear deformations obtained from the finite element analysis were compared against experimental results of beam–column joints. Analytical results further validated the applicability and efficacy of the proposed STM.  \nKeywords Strut-and-tie model, Shear deformation, Reinforced concrete, Beam-column joint, Skeleton curve List of symbols  \nAc  \nAsb  \nAst  \nAjh  \nbb  \nbj  \nccc, cbd  \nbd  \njh F ∆  \nmax, Fmax ∆F  \n3.5%  \nCross section area of column  \nCross section area of beam tensile steel reinforcement Area of single layer of joint transverse reinforcement Total cross section area of joint transverse reinforcements Beam width  \nEffective joint width  \nThickness of concrete cover  \nDepth of column and beam compression zones Diameter of beam longitudinal reinforcement Diameter of joint horizontal transverse reinforcement Peak lateral load and the corresponding drift ratio Strength degradation at a drift ratio of 3.5%  \n1School of Civil and Environment Engineering, Zhengzhou University of Aeronautics, Zhengzhou 450046, China.  \n2College of Civil Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, China. 3China Mobile Group Design Institute Co., Ltd., Zhengzhou 450046, China. 􀀍 email: [wentong21@zua.edu.cn](wentong21@zua.edu.cn)  \n[www. nature.com/scientificreports/](www. nature.com/scientificreports/)  \nFn Axial compressive force of struts e.g. FnAE , FnAD, FnBD , ···  \nFni Axial force of the compression strut with serial number i  \nfc Concrete compressive strength  \nfy Steel yield strength  \nH Height between inflection points of the","cbCainVOiBUSLW3p","https://ap.wps.com/l/cbCainVOiBUSLW3p","pdf",10026090,24,"English","# Abstract\n# Strut-and-tie modeling approach\n## Force equilibrium and deformation compatibility\n# Experimental program and cyclic loading\n## Joint shear stress–strain envelope curves\n# Model validation and accuracy metrics\n## MAE comparison\n## R² comparison\n# Finite element verification in OpenSees\n## Hysteresis curves and shear deformations\n# List of symbols","[{\"question\":\"What is the main goal of the study on interior RC beam–column joints?\",\"answer\":\"To assess the joint shear stress–strain relationship for interior RC beam–column subassemblages under seismic loading using a strut–and–tie approach.\"},{\"question\":\"How many interior RC beam–column joint specimens were tested, and how were they loaded?\",\"answer\":\"Six interior RC beam–column joint specimens were tested under cyclic loading.\"},{\"question\":\"How does the proposed strut–and–tie model perform compared with the Zhao–Yang model?\",\"answer\":\"The proposed STM yields shear stress–strain envelope curves in closer agreement with experimental data, with significantly lower MAE for peak shear stress and a significantly higher R².\"}]","Strut and tie model for predicting shear behavior of interior RC beam column joints under seismic loading | PDF",1790732876]