Shear Lag in Slotted Welded Steel CHS Connections

Authors

  • samer sahellie Tishreen University

Abstract

The Shear Lag Phenomenon plays a significant role in the structural behavior of steel element connections, affecting their strength and performance. This study investigates the impact of shear lag on the resistance of welded connections when subjected to severe forces, particularly in the case of slotted steel CHS (Circular Hollow Sections) pipes welded to steel plates (Gusset plates). This study contributes to highlighting the importance of this phenomenon to consider its effect according to the European Code (EC3), which explicitly ignores its impact on various types of connections, especially welded ones.

The research evaluates the influence of various factors such as the overlap length (connection length) and the diameter of the connected steel pipes exposed to central concentrated forces on the evolution of the shear lag phenomenon and its consequences on the proposed connection's resistance and durability. This is achieved through analysis using the Component-based Finite Element Method (CBFEM), adopted from the European Code for the analysis and design of steel connections.

Furthermore, the research aims, through numerical analytical study, to develop a relationship to calculate the value of the shear lag coefficient for inclusion in the equations used to check these connections according to the European Code. Additionally, it provides some explanations regarding the impact of the mentioned factors (connection length and diameter of steel pipes) on the shear lag coefficient to assist in selecting the appropriate geometric dimensions of the mentioned connections to ensure achieving the desired efficiency and performance within the framework of structural safety procedures in steel structures.

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Published

2024-11-03

How to Cite

1.
ساحللي س. Shear Lag in Slotted Welded Steel CHS Connections. Tuj-eng [Internet]. 2024Nov.3 [cited 2025Oct.29];46(4):11-26. Available from: https://journal.latakia-univ.edu.sy/index.php/engscnc/article/view/17527

Issue

Vol. 46 No. 4 (2024): Tishreen University Journal of Research and Scientific Studies - Engineering Sciences Series

Section

Articles

License

Copyright (c) 2024 https://creativecommons.org/licenses/by-nc-sa/4.0/

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

The authors retain the copyright and grant the right to publish in the magazine for the first time with the transfer of the commercial right to Tishreen University Journal for Research and Scientific Studies - Engineering Sciences Series

 Under a CC BY- NC-SA 04 license that allows others to share the work with of the work's authorship and initial publication in this journal. Authors can use a copy of their articles in their scientific activity, and on their scientific websites, provided that the place of publication is indicted in  Tishreen University Journal for Research and Scientific Studies - Engineering Sciences Series   .  The Readers have the right to send, print and subscribe to the initial version of the article, and the title of  Tishreen University Journal for Research and Scientific Studies - Engineering Sciences Series     Publisher

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Dispatcher.dispatch(Object:Request) % line  281, file: PKPApplication.inc.php
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Dispatcher.dispatch(Object:Request) % line  281, file: PKPApplication.inc.php
PKPApplication.execute() % line   68, file: index.php

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                                          SubmissionSearch.retrieveResults(Object:Request, Object:Journal, Array[1], null, null, null, Object:DBResultRange, Array[1]) % line   92, file: RecommendBySimilarityPlugin.inc.php
                                       RecommendBySimilarityPlugin.callbackTemplateArticlePageFooter(Templates::Article::Footer::PageFooter, Array[3]) % line  107, file: HookRegistry.inc.php
                                    HookRegistry.call(Templates::Article::Footer::PageFooter, Array[3]) % line 1256, file: PKPTemplateManager.inc.php
                                 PKPTemplateManager.smartyCallHook(Array[1], Object:Smarty_Internal_Template) % line   43, file: 42362804174f266c598cdb32c3208fc745b92101^1c372c95cd85572e0fbc9a53d0323a0b229cfc78_0.app.frontendpagesarticle.tpl.php
                              content_6824e8afae4963_68091933(Object:Smarty_Internal_Template) % line  123, file: smarty_template_resource_base.php
                           Smarty_Template_Resource_Base.getRenderedTemplateCode(Object:Smarty_Internal_Template) % line  114, file: smarty_template_compiled.php
                        Smarty_Template_Compiled.render(Object:Smarty_Internal_Template) % line  216, file: smarty_internal_template.php
                     Smarty_Internal_Template.render(false, 1) % line  232, file: smarty_internal_templatebase.php
                  Smarty_Internal_TemplateBase._execute(Object:Smarty_Internal_Template, null, 42362804174f266c598cdb32c3208fc745b92101, null, 1) % line  134, file: smarty_internal_templatebase.php
               Smarty_Internal_TemplateBase.display(frontend/pages/article.tpl, null, 42362804174f266c598cdb32c3208fc745b92101, null) % line  924, file: PKPTemplateManager.inc.php
            PKPTemplateManager.display(frontend/pages/article.tpl) % line  292, file: ArticleHandler.inc.php
         ArticleHandler.view(Array[1], Object:Request) % line  391, file: PKPRouter.inc.php
      PKPRouter._authorizeInitializeAndCallRequest(Array[2], Object:Request, Array[1], false) % line  231, file: PKPPageRouter.inc.php
   PKPPageRouter.route(Object:Request) % line  143, file: Dispatcher.inc.php
Dispatcher.dispatch(Object:Request) % line  281, file: PKPApplication.inc.php
PKPApplication.execute() % line   68, file: index.php

                                                                  ADOConnection.CacheExecute(3600, SELECT 				o.submission_id, 				MAX(s.context_id) AS journal_id, 				MAX(i.date_published) AS i_pub, 				MAX(p.date_published) A..., Array[2]) % line  132, file: DAO.inc.php
                                                               DAO.retrieveCached(SELECT 				o.submission_id, 				MAX(s.context_id) AS journal_id, 				MAX(i.date_published) AS i_pub, 				MAX(p.date_published) A..., Array[2], 3600) % line   91, file: ArticleSearchDAO.inc.php
                                                            ArticleSearchDAO.getPhraseResults(Object:Journal, Array[1], null, null, , 500, 1) % line  202, file: SubmissionSearch.inc.php
                                                         SubmissionSearch._getMergedPhraseResults(Object:Journal, Array[1], , null, null, 500, 1) % line  147, file: SubmissionSearch.inc.php
                                                      SubmissionSearch._getMergedKeywordResults(Object:Journal, Array[4], , null, null, 500, 1) % line  195, file: SubmissionSearch.inc.php
                                                   SubmissionSearch._getMergedPhraseResults(Object:Journal, Array[4], null, null, null, 500, 1) % line  147, file: SubmissionSearch.inc.php
                                                SubmissionSearch._getMergedKeywordResults(Object:Journal, Array[3], null, null, null, 500, 1) % line  133, file: SubmissionSearch.inc.php
                                             SubmissionSearch._getMergedArray(Object:Journal, Array[1], null, null) % line  264, file: SubmissionSearch.inc.php
                                          SubmissionSearch.retrieveResults(Object:Request, Object:Journal, Array[1], null, null, null, Object:DBResultRange, Array[1]) % line   92, file: RecommendBySimilarityPlugin.inc.php
                                       RecommendBySimilarityPlugin.callbackTemplateArticlePageFooter(Templates::Article::Footer::PageFooter, Array[3]) % line  107, file: HookRegistry.inc.php
                                    HookRegistry.call(Templates::Article::Footer::PageFooter, Array[3]) % line 1256, file: PKPTemplateManager.inc.php
                                 PKPTemplateManager.smartyCallHook(Array[1], Object:Smarty_Internal_Template) % line   43, file: 42362804174f266c598cdb32c3208fc745b92101^1c372c95cd85572e0fbc9a53d0323a0b229cfc78_0.app.frontendpagesarticle.tpl.php
                              content_6824e8afae4963_68091933(Object:Smarty_Internal_Template) % line  123, file: smarty_template_resource_base.php
                           Smarty_Template_Resource_Base.getRenderedTemplateCode(Object:Smarty_Internal_Template) % line  114, file: smarty_template_compiled.php
                        Smarty_Template_Compiled.render(Object:Smarty_Internal_Template) % line  216, file: smarty_internal_template.php
                     Smarty_Internal_Template.render(false, 1) % line  232, file: smarty_internal_templatebase.php
                  Smarty_Internal_TemplateBase._execute(Object:Smarty_Internal_Template, null, 42362804174f266c598cdb32c3208fc745b92101, null, 1) % line  134, file: smarty_internal_templatebase.php
               Smarty_Internal_TemplateBase.display(frontend/pages/article.tpl, null, 42362804174f266c598cdb32c3208fc745b92101, null) % line  924, file: PKPTemplateManager.inc.php
            PKPTemplateManager.display(frontend/pages/article.tpl) % line  292, file: ArticleHandler.inc.php
         ArticleHandler.view(Array[1], Object:Request) % line  391, file: PKPRouter.inc.php
      PKPRouter._authorizeInitializeAndCallRequest(Array[2], Object:Request, Array[1], false) % line  231, file: PKPPageRouter.inc.php
   PKPPageRouter.route(Object:Request) % line  143, file: Dispatcher.inc.php
Dispatcher.dispatch(Object:Request) % line  281, file: PKPApplication.inc.php
PKPApplication.execute() % line   68, file: index.php

                                                                  ADOConnection.CacheExecute(3600, SELECT 				o.submission_id, 				MAX(s.context_id) AS journal_id, 				MAX(i.date_published) AS i_pub, 				MAX(p.date_published) A..., Array[2]) % line  132, file: DAO.inc.php
                                                               DAO.retrieveCached(SELECT 				o.submission_id, 				MAX(s.context_id) AS journal_id, 				MAX(i.date_published) AS i_pub, 				MAX(p.date_published) A..., Array[2], 3600) % line   91, file: ArticleSearchDAO.inc.php
                                                            ArticleSearchDAO.getPhraseResults(Object:Journal, Array[1], null, null, , 500, 1) % line  202, file: SubmissionSearch.inc.php
                                                         SubmissionSearch._getMergedPhraseResults(Object:Journal, Array[1], , null, null, 500, 1) % line  147, file: SubmissionSearch.inc.php
                                                      SubmissionSearch._getMergedKeywordResults(Object:Journal, Array[4], , null, null, 500, 1) % line  195, file: SubmissionSearch.inc.php
                                                   SubmissionSearch._getMergedPhraseResults(Object:Journal, Array[4], null, null, null, 500, 1) % line  147, file: SubmissionSearch.inc.php
                                                SubmissionSearch._getMergedKeywordResults(Object:Journal, Array[3], null, null, null, 500, 1) % line  133, file: SubmissionSearch.inc.php
                                             SubmissionSearch._getMergedArray(Object:Journal, Array[1], null, null) % line  264, file: SubmissionSearch.inc.php
                                          SubmissionSearch.retrieveResults(Object:Request, Object:Journal, Array[1], null, null, null, Object:DBResultRange, Array[1]) % line   92, file: RecommendBySimilarityPlugin.inc.php
                                       RecommendBySimilarityPlugin.callbackTemplateArticlePageFooter(Templates::Article::Footer::PageFooter, Array[3]) % line  107, file: HookRegistry.inc.php
                                    HookRegistry.call(Templates::Article::Footer::PageFooter, Array[3]) % line 1256, file: PKPTemplateManager.inc.php
                                 PKPTemplateManager.smartyCallHook(Array[1], Object:Smarty_Internal_Template) % line   43, file: 42362804174f266c598cdb32c3208fc745b92101^1c372c95cd85572e0fbc9a53d0323a0b229cfc78_0.app.frontendpagesarticle.tpl.php
                              content_6824e8afae4963_68091933(Object:Smarty_Internal_Template) % line  123, file: smarty_template_resource_base.php
                           Smarty_Template_Resource_Base.getRenderedTemplateCode(Object:Smarty_Internal_Template) % line  114, file: smarty_template_compiled.php
                        Smarty_Template_Compiled.render(Object:Smarty_Internal_Template) % line  216, file: smarty_internal_template.php
                     Smarty_Internal_Template.render(false, 1) % line  232, file: smarty_internal_templatebase.php
                  Smarty_Internal_TemplateBase._execute(Object:Smarty_Internal_Template, null, 42362804174f266c598cdb32c3208fc745b92101, null, 1) % line  134, file: smarty_internal_templatebase.php
               Smarty_Internal_TemplateBase.display(frontend/pages/article.tpl, null, 42362804174f266c598cdb32c3208fc745b92101, null) % line  924, file: PKPTemplateManager.inc.php
            PKPTemplateManager.display(frontend/pages/article.tpl) % line  292, file: ArticleHandler.inc.php
         ArticleHandler.view(Array[1], Object:Request) % line  391, file: PKPRouter.inc.php
      PKPRouter._authorizeInitializeAndCallRequest(Array[2], Object:Request, Array[1], false) % line  231, file: PKPPageRouter.inc.php
   PKPPageRouter.route(Object:Request) % line  143, file: Dispatcher.inc.php
Dispatcher.dispatch(Object:Request) % line  281, file: PKPApplication.inc.php
PKPApplication.execute() % line   68, file: index.php

                                                                  ADOConnection.CacheExecute(3600, SELECT 				o.submission_id, 				MAX(s.context_id) AS journal_id, 				MAX(i.date_published) AS i_pub, 				MAX(p.date_published) A..., Array[2]) % line  132, file: DAO.inc.php
                                                               DAO.retrieveCached(SELECT 				o.submission_id, 				MAX(s.context_id) AS journal_id, 				MAX(i.date_published) AS i_pub, 				MAX(p.date_published) A..., Array[2], 3600) % line   91, file: ArticleSearchDAO.inc.php
                                                            ArticleSearchDAO.getPhraseResults(Object:Journal, Array[1], null, null, , 500, 1) % line  202, file: SubmissionSearch.inc.php
                                                         SubmissionSearch._getMergedPhraseResults(Object:Journal, Array[1], , null, null, 500, 1) % line  147, file: SubmissionSearch.inc.php
                                                      SubmissionSearch._getMergedKeywordResults(Object:Journal, Array[4], , null, null, 500, 1) % line  195, file: SubmissionSearch.inc.php
                                                   SubmissionSearch._getMergedPhraseResults(Object:Journal, Array[4], null, null, null, 500, 1) % line  147, file: SubmissionSearch.inc.php
                                                SubmissionSearch._getMergedKeywordResults(Object:Journal, Array[3], null, null, null, 500, 1) % line  133, file: SubmissionSearch.inc.php
                                             SubmissionSearch._getMergedArray(Object:Journal, Array[1], null, null) % line  264, file: SubmissionSearch.inc.php
                                          SubmissionSearch.retrieveResults(Object:Request, Object:Journal, Array[1], null, null, null, Object:DBResultRange, Array[1]) % line   92, file: RecommendBySimilarityPlugin.inc.php
                                       RecommendBySimilarityPlugin.callbackTemplateArticlePageFooter(Templates::Article::Footer::PageFooter, Array[3]) % line  107, file: HookRegistry.inc.php
                                    HookRegistry.call(Templates::Article::Footer::PageFooter, Array[3]) % line 1256, file: PKPTemplateManager.inc.php
                                 PKPTemplateManager.smartyCallHook(Array[1], Object:Smarty_Internal_Template) % line   43, file: 42362804174f266c598cdb32c3208fc745b92101^1c372c95cd85572e0fbc9a53d0323a0b229cfc78_0.app.frontendpagesarticle.tpl.php
                              content_6824e8afae4963_68091933(Object:Smarty_Internal_Template) % line  123, file: smarty_template_resource_base.php
                           Smarty_Template_Resource_Base.getRenderedTemplateCode(Object:Smarty_Internal_Template) % line  114, file: smarty_template_compiled.php
                        Smarty_Template_Compiled.render(Object:Smarty_Internal_Template) % line  216, file: smarty_internal_template.php
                     Smarty_Internal_Template.render(false, 1) % line  232, file: smarty_internal_templatebase.php
                  Smarty_Internal_TemplateBase._execute(Object:Smarty_Internal_Template, null, 42362804174f266c598cdb32c3208fc745b92101, null, 1) % line  134, file: smarty_internal_templatebase.php
               Smarty_Internal_TemplateBase.display(frontend/pages/article.tpl, null, 42362804174f266c598cdb32c3208fc745b92101, null) % line  924, file: PKPTemplateManager.inc.php
            PKPTemplateManager.display(frontend/pages/article.tpl) % line  292, file: ArticleHandler.inc.php
         ArticleHandler.view(Array[1], Object:Request) % line  391, file: PKPRouter.inc.php
      PKPRouter._authorizeInitializeAndCallRequest(Array[2], Object:Request, Array[1], false) % line  231, file: PKPPageRouter.inc.php
   PKPPageRouter.route(Object:Request) % line  143, file: Dispatcher.inc.php
Dispatcher.dispatch(Object:Request) % line  281, file: PKPApplication.inc.php
PKPApplication.execute() % line   68, file: index.php

                                                                  ADOConnection.CacheExecute(3600, SELECT 				o.submission_id, 				MAX(s.context_id) AS journal_id, 				MAX(i.date_published) AS i_pub, 				MAX(p.date_published) A..., Array[2]) % line  132, file: DAO.inc.php
                                                               DAO.retrieveCached(SELECT 				o.submission_id, 				MAX(s.context_id) AS journal_id, 				MAX(i.date_published) AS i_pub, 				MAX(p.date_published) A..., Array[2], 3600) % line   91, file: ArticleSearchDAO.inc.php
                                                            ArticleSearchDAO.getPhraseResults(Object:Journal, Array[1], null, null, , 500, 1) % line  202, file: SubmissionSearch.inc.php
                                                         SubmissionSearch._getMergedPhraseResults(Object:Journal, Array[1], , null, null, 500, 1) % line  147, file: SubmissionSearch.inc.php
                                                      SubmissionSearch._getMergedKeywordResults(Object:Journal, Array[4], , null, null, 500, 1) % line  195, file: SubmissionSearch.inc.php
                                                   SubmissionSearch._getMergedPhraseResults(Object:Journal, Array[4], null, null, null, 500, 1) % line  147, file: SubmissionSearch.inc.php
                                                SubmissionSearch._getMergedKeywordResults(Object:Journal, Array[3], null, null, null, 500, 1) % line  133, file: SubmissionSearch.inc.php
                                             SubmissionSearch._getMergedArray(Object:Journal, Array[1], null, null) % line  264, file: SubmissionSearch.inc.php
                                          SubmissionSearch.retrieveResults(Object:Request, Object:Journal, Array[1], null, null, null, Object:DBResultRange, Array[1]) % line   92, file: RecommendBySimilarityPlugin.inc.php
                                       RecommendBySimilarityPlugin.callbackTemplateArticlePageFooter(Templates::Article::Footer::PageFooter, Array[3]) % line  107, file: HookRegistry.inc.php
                                    HookRegistry.call(Templates::Article::Footer::PageFooter, Array[3]) % line 1256, file: PKPTemplateManager.inc.php
                                 PKPTemplateManager.smartyCallHook(Array[1], Object:Smarty_Internal_Template) % line   43, file: 42362804174f266c598cdb32c3208fc745b92101^1c372c95cd85572e0fbc9a53d0323a0b229cfc78_0.app.frontendpagesarticle.tpl.php
                              content_6824e8afae4963_68091933(Object:Smarty_Internal_Template) % line  123, file: smarty_template_resource_base.php
                           Smarty_Template_Resource_Base.getRenderedTemplateCode(Object:Smarty_Internal_Template) % line  114, file: smarty_template_compiled.php
                        Smarty_Template_Compiled.render(Object:Smarty_Internal_Template) % line  216, file: smarty_internal_template.php
                     Smarty_Internal_Template.render(false, 1) % line  232, file: smarty_internal_templatebase.php
                  Smarty_Internal_TemplateBase._execute(Object:Smarty_Internal_Template, null, 42362804174f266c598cdb32c3208fc745b92101, null, 1) % line  134, file: smarty_internal_templatebase.php
               Smarty_Internal_TemplateBase.display(frontend/pages/article.tpl, null, 42362804174f266c598cdb32c3208fc745b92101, null) % line  924, file: PKPTemplateManager.inc.php
            PKPTemplateManager.display(frontend/pages/article.tpl) % line  292, file: ArticleHandler.inc.php
         ArticleHandler.view(Array[1], Object:Request) % line  391, file: PKPRouter.inc.php
      PKPRouter._authorizeInitializeAndCallRequest(Array[2], Object:Request, Array[1], false) % line  231, file: PKPPageRouter.inc.php
   PKPPageRouter.route(Object:Request) % line  143, file: Dispatcher.inc.php
Dispatcher.dispatch(Object:Request) % line  281, file: PKPApplication.inc.php
PKPApplication.execute() % line   68, file: index.php

                                                                  ADOConnection.CacheExecute(3600, SELECT 				o.submission_id, 				MAX(s.context_id) AS journal_id, 				MAX(i.date_published) AS i_pub, 				MAX(p.date_published) A..., Array[2]) % line  132, file: DAO.inc.php
                                                               DAO.retrieveCached(SELECT 				o.submission_id, 				MAX(s.context_id) AS journal_id, 				MAX(i.date_published) AS i_pub, 				MAX(p.date_published) A..., Array[2], 3600) % line   91, file: ArticleSearchDAO.inc.php
                                                            ArticleSearchDAO.getPhraseResults(Object:Journal, Array[1], null, null, , 500, 1) % line  202, file: SubmissionSearch.inc.php
                                                         SubmissionSearch._getMergedPhraseResults(Object:Journal, Array[1], , null, null, 500, 1) % line  147, file: SubmissionSearch.inc.php
                                                      SubmissionSearch._getMergedKeywordResults(Object:Journal, Array[4], , null, null, 500, 1) % line  195, file: SubmissionSearch.inc.php
                                                   SubmissionSearch._getMergedPhraseResults(Object:Journal, Array[4], null, null, null, 500, 1) % line  147, file: SubmissionSearch.inc.php
                                                SubmissionSearch._getMergedKeywordResults(Object:Journal, Array[3], null, null, null, 500, 1) % line  133, file: SubmissionSearch.inc.php
                                             SubmissionSearch._getMergedArray(Object:Journal, Array[1], null, null) % line  264, file: SubmissionSearch.inc.php
                                          SubmissionSearch.retrieveResults(Object:Request, Object:Journal, Array[1], null, null, null, Object:DBResultRange, Array[1]) % line   92, file: RecommendBySimilarityPlugin.inc.php
                                       RecommendBySimilarityPlugin.callbackTemplateArticlePageFooter(Templates::Article::Footer::PageFooter, Array[3]) % line  107, file: HookRegistry.inc.php
                                    HookRegistry.call(Templates::Article::Footer::PageFooter, Array[3]) % line 1256, file: PKPTemplateManager.inc.php
                                 PKPTemplateManager.smartyCallHook(Array[1], Object:Smarty_Internal_Template) % line   43, file: 42362804174f266c598cdb32c3208fc745b92101^1c372c95cd85572e0fbc9a53d0323a0b229cfc78_0.app.frontendpagesarticle.tpl.php
                              content_6824e8afae4963_68091933(Object:Smarty_Internal_Template) % line  123, file: smarty_template_resource_base.php
                           Smarty_Template_Resource_Base.getRenderedTemplateCode(Object:Smarty_Internal_Template) % line  114, file: smarty_template_compiled.php
                        Smarty_Template_Compiled.render(Object:Smarty_Internal_Template) % line  216, file: smarty_internal_template.php
                     Smarty_Internal_Template.render(false, 1) % line  232, file: smarty_internal_templatebase.php
                  Smarty_Internal_TemplateBase._execute(Object:Smarty_Internal_Template, null, 42362804174f266c598cdb32c3208fc745b92101, null, 1) % line  134, file: smarty_internal_templatebase.php
               Smarty_Internal_TemplateBase.display(frontend/pages/article.tpl, null, 42362804174f266c598cdb32c3208fc745b92101, null) % line  924, file: PKPTemplateManager.inc.php
            PKPTemplateManager.display(frontend/pages/article.tpl) % line  292, file: ArticleHandler.inc.php
         ArticleHandler.view(Array[1], Object:Request) % line  391, file: PKPRouter.inc.php
      PKPRouter._authorizeInitializeAndCallRequest(Array[2], Object:Request, Array[1], false) % line  231, file: PKPPageRouter.inc.php
   PKPPageRouter.route(Object:Request) % line  143, file: Dispatcher.inc.php
Dispatcher.dispatch(Object:Request) % line  281, file: PKPApplication.inc.php
PKPApplication.execute() % line   68, file: index.php

                                                                  ADOConnection.CacheExecute(3600, SELECT 				o.submission_id, 				MAX(s.context_id) AS journal_id, 				MAX(i.date_published) AS i_pub, 				MAX(p.date_published) A..., Array[2]) % line  132, file: DAO.inc.php
                                                               DAO.retrieveCached(SELECT 				o.submission_id, 				MAX(s.context_id) AS journal_id, 				MAX(i.date_published) AS i_pub, 				MAX(p.date_published) A..., Array[2], 3600) % line   91, file: ArticleSearchDAO.inc.php
                                                            ArticleSearchDAO.getPhraseResults(Object:Journal, Array[1], null, null, , 500, 1) % line  202, file: SubmissionSearch.inc.php
                                                         SubmissionSearch._getMergedPhraseResults(Object:Journal, Array[1], , null, null, 500, 1) % line  147, file: SubmissionSearch.inc.php
                                                      SubmissionSearch._getMergedKeywordResults(Object:Journal, Array[4], , null, null, 500, 1) % line  195, file: SubmissionSearch.inc.php
                                                   SubmissionSearch._getMergedPhraseResults(Object:Journal, Array[4], null, null, null, 500, 1) % line  147, file: SubmissionSearch.inc.php
                                                SubmissionSearch._getMergedKeywordResults(Object:Journal, Array[3], null, null, null, 500, 1) % line  133, file: SubmissionSearch.inc.php
                                             SubmissionSearch._getMergedArray(Object:Journal, Array[1], null, null) % line  264, file: SubmissionSearch.inc.php
                                          SubmissionSearch.retrieveResults(Object:Request, Object:Journal, Array[1], null, null, null, Object:DBResultRange, Array[1]) % line   92, file: RecommendBySimilarityPlugin.inc.php
                                       RecommendBySimilarityPlugin.callbackTemplateArticlePageFooter(Templates::Article::Footer::PageFooter, Array[3]) % line  107, file: HookRegistry.inc.php
                                    HookRegistry.call(Templates::Article::Footer::PageFooter, Array[3]) % line 1256, file: PKPTemplateManager.inc.php
                                 PKPTemplateManager.smartyCallHook(Array[1], Object:Smarty_Internal_Template) % line   43, file: 42362804174f266c598cdb32c3208fc745b92101^1c372c95cd85572e0fbc9a53d0323a0b229cfc78_0.app.frontendpagesarticle.tpl.php
                              content_6824e8afae4963_68091933(Object:Smarty_Internal_Template) % line  123, file: smarty_template_resource_base.php
                           Smarty_Template_Resource_Base.getRenderedTemplateCode(Object:Smarty_Internal_Template) % line  114, file: smarty_template_compiled.php
                        Smarty_Template_Compiled.render(Object:Smarty_Internal_Template) % line  216, file: smarty_internal_template.php
                     Smarty_Internal_Template.render(false, 1) % line  232, file: smarty_internal_templatebase.php
                  Smarty_Internal_TemplateBase._execute(Object:Smarty_Internal_Template, null, 42362804174f266c598cdb32c3208fc745b92101, null, 1) % line  134, file: smarty_internal_templatebase.php
               Smarty_Internal_TemplateBase.display(frontend/pages/article.tpl, null, 42362804174f266c598cdb32c3208fc745b92101, null) % line  924, file: PKPTemplateManager.inc.php
            PKPTemplateManager.display(frontend/pages/article.tpl) % line  292, file: ArticleHandler.inc.php
         ArticleHandler.view(Array[1], Object:Request) % line  391, file: PKPRouter.inc.php
      PKPRouter._authorizeInitializeAndCallRequest(Array[2], Object:Request, Array[1], false) % line  231, file: PKPPageRouter.inc.php
   PKPPageRouter.route(Object:Request) % line  143, file: Dispatcher.inc.php
Dispatcher.dispatch(Object:Request) % line  281, file: PKPApplication.inc.php
PKPApplication.execute() % line   68, file: index.php