[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-564612-105":53,"doc-detail-564612-en":120},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":113,"head_meta":115,"extra_data":117,"updated_unix":119},105,"en","effective-length-factor-calculation-for-columns-using-alignment-charts","Effective Length Factor Calculation for Columns Using Alignment Charts","","Procedure for determining effective length factors K for columns in frames using alignment charts (AISC manual figures) and rigidity ratio G. The method distinguishes braced (side-sway inhibited) versus unbraced (side-sway uninhibited) frames, assigns G values based on end restraint conditions (pin/roller/hinge or fixed), then selects K from appropriate chart ranges. Worked examples show calculations for different column labels and brace configurations, including cases with bracing at midspan or at specified distances, with resulting effective lengths KLx and KLy.",{"@graph":63,"@context":112},[64,80,95],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":46,"@type":70,"position":76},"https://docshare.wps.com/template/paper-templates/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/effective-length-factor-calculation-for-columns-using-alignment-charts/564612/",4,{"url":78,"name":59,"@type":81,"author":82,"headline":59,"publisher":85,"fileFormat":88,"inLanguage":57,"description":61,"dateModified":89,"datePublished":89,"encodingFormat":88,"isAccessibleForFree":90,"interactionStatistic":91},"DigitalDocument",{"name":83,"@type":84},"Bintang","Person",{"url":68,"name":86,"@type":87},"DocShare","Organization","application/pdf","2026-10-12",true,{"@type":92,"interactionType":93,"userInteractionCount":4},"InteractionCounter",{"@type":94},"ViewAction",{"@type":96,"mainEntity":97},"FAQPage",[98,104,108],{"name":99,"@type":100,"acceptedAnswer":101},"How is the rigidity factor G for a column end defined?","Question",{"text":102,"@type":103},"G is defined as the ratio between the summed rigidity (EI/L) of all columns meeting at an end and the summed rigidity (EI/L) of all beams meeting at the same end.","Answer",{"name":105,"@type":100,"acceptedAnswer":106},"What G values are used for different column end restraints?",{"text":107,"@type":103},"G = 10 for (pin, roller and hinge) end conditions, and G = 1 for fixed end conditions.",{"name":109,"@type":100,"acceptedAnswer":110},"When can alignment charts be used to determine the effective length factor K?",{"text":111,"@type":103},"Alignment charts can be used only if the initial sizes of the columns and girders are known, and they use the actual restraints at girder-to-column connections to determine K.","https://schema.org",{"og:url":78,"og:type":114,"og:title":59,"og:site_name":86,"og:description":61},"article",{"robots":116,"canonical":78},"index,follow",{"doc_id":118,"site_id":56},564612,1791843200,{"code":4,"msg":5,"data":121},{"doc_id":118,"user_id":122,"nickname":83,"user_avatar":123,"doc_module":9,"category_id":45,"category_name":46,"doc_title":59,"doc_description":61,"doc_content":124,"file_id":125,"file_url":126,"file_type":127,"file_size":128,"view_count":4,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":79,"language":129,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":130,"faqs":131,"seo_title":132,"seo_description":61,"update_tm":119,"read_time":73},962085564381,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","2. by using Alignment charts (AISCM, Tables C-C2.3 and C-C2.4  \nIf a compression member is supported differently with respect to each of its principle The alignment charts use the actual restraints at the girder-to-column connections to determine the effective length factor, K. They provide more accurate values for the effective length factor than AISCM, Table C-C2 . 2, but the process of obtaining these values is more boring than the first method, and the alignment charts can only be used if the initial sizes of the columns and girders are known.  \nThe effective length factor for columns in frames must be calculated as follows  \n1. Determine whether the column is part of a braced frame or an unbraced frame If the column is part of a braced (non-sway) (inhibited) frame and truss member then  \nits effective length factor will be ranged from 0.5\u003C K ≤ 1 if the column is part of an unbraced frame then 1 \u003C K ≤ ∞ .  \n2. Determine the relative rigidity factor G for both ends of the column, where G is defined as the ratio of the summation of the rigidity (EI/L) of all columns coming together at an  \nend to the summation of the rigidity (EI/L) of all beams coming together at the same end Where:  \n∑ (􀮾􀯖􀯂􀯖/􀯅􀯖) ∑ (􀯂/􀯅)􀯖 G= ~~ ~~ = ~~ ~~  \n∑ (􀮾􀯚􀯂􀯚/􀯅􀯚) ∑ (􀯂/􀯅)􀯚  \n.  \nNote  \nG= 10 for (pin, Roller and Hinge)  \nG= 1 for (fixed)  \n3. Determine the effective length factor K for the column using the calculated value of G at both ends, i.e., GA and GB and the appropriate alignment chart  \nFor columns in braced (side sway inhibited) frames use Figure C-C2 .3 of the AISC manual which 0 ≤in K \u003C 1 for safe side take K=1  \nFor columns in unbraced (side sway uninhibited) frames use Figure C-C2.4 of the AISC manual in which 1 \u003C K ≤ ∞  \nThe procedure for calculating G is the same for both  \nExample 1)  \nFind the effective length factor for col. (BC) assume the frame is brace only in the weak direction which it perpendicular to the frame direction?  \nSolution  \nSince the frame is brace only in weak direction which it perpendicular to the frame direction. Ky =1  \nThe frame is side sway in the frame direction  \nUse Alignments chart  \n\n| Section | Ix-x (in4) | L (ft) |\n| --- | --- | --- |\n| W10x100 | 623 | 12 |\n| W10x77 | 455 | 12 |\n| W10x60 | 341 | 12 |\n| W10x54 | 303 | 16 |\n\n∑ 􀲺 G = ~~ ~~􀲺~~ ~~􀯖􀯢􀯟􀯨􀯠􀯦  \n 􀳗  􀯕􀯘􀯔􀯠􀯦  \n62312+45125  \nGB= 30316+~~ ~~30316 = 43121 +45125  \nGC= 303 303  16 + 16   \n2.731  \n= 1.75  \nW 10x30 W 10x30  \n16 ft 16 ft  \nGo to Alignments chart and find Kx  \nKx=1.6  \nLx Ly =12 ft (there is no brace member in both axis)) KL)x =1.6 x12=19.2 ft  \n) KL)y =1.0 x12=12 ft  \nRe-solve the above example to find effective length factors for Col. AB & CE  \nRe-solve the above example if there is bracing in the weak direction at mid span as shown in the fig. below  \nNote: This note  ,  and  refer to bracing of column in the other direction  \nThis means that (the web of col, was bracing that lead to Ly  \nwill be divided in two parts (i.e. Ly =6 ft), while, Lx remain constant  \n(KL)x=1 .6 x12 =19 . 2ft (Kl)y =1x6 =6 ft  \nHomework)  \nFind the effective length factor for col. (BC) assume the frame is brace only in the frame perpendicular to the frame direction?  \nW 10x30 W 10x30  \n\n| W 10x54 | E\u003Cbr>C | W 10x54 |\n| --- | --- | --- |\n| W 10x54 | B | W 10x54 |\n|  | A |  |\n\nW 10x77 W 10x60  \n12 ft 12 ft  \nW 10x 100  \n12 ft  \n16 ft  \n16 ft  \nFrame Direction  \nKx =1 Ky from alignments chart  \nW 10x30 W 10x30  \n\n| W 10x54 | E\u003Cbr>C | W 10x54 |\n| --- | --- | --- |\n| W 10x54 | B | W 10x54 |\n|  | A |  |\n\nW 10x77 W 10x60  \n12 ft 12 ft  \nW 10x 100  \n12 ft  \n16 ft  \n16 ft  \nFrame Direction  \nKy =1 Kx from alignments chart  \nExample)  \nFind the effective length factor for col. (AB) assuming that the top col. end is pin connection in in the weak direction which it perpendicular to the frame direction and free to translate only in the frame plane direction?  \nSolution   \nSince the both column have been defined, there for, we can used table C-C2 .1 P. P240  \nKx=1.2  \nKy=0.8  \n","cbCaiczC7PH0fDDA","https://ap.wps.com/l/cbCaiczC7PH0fDDA","pdf",1043249,"English","# Effective length factor method\n## Determine frame bracing condition\n## Compute end rigidity factor G\n## Select K from alignment charts for braced and unbraced frames\n## Worked examples and homework cases","[{\"question\":\"How is the rigidity factor G for a column end defined?\",\"answer\":\"G is defined as the ratio between the summed rigidity (EI/L) of all columns meeting at an end and the summed rigidity (EI/L) of all beams meeting at the same end.\"},{\"question\":\"What G values are used for different column end restraints?\",\"answer\":\"G = 10 for (pin, roller and hinge) end conditions, and G = 1 for fixed end conditions.\"},{\"question\":\"When can alignment charts be used to determine the effective length factor K?\",\"answer\":\"Alignment charts can be used only if the initial sizes of the columns and girders are known, and they use the actual restraints at girder-to-column connections to determine K.\"}]","Effective Length Factor Calculation for Columns Using Alignment Charts | PDF"]