[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-656183-105":59,"doc-detail-656183-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","beam-design-formulas-with-shear-and-moment-diagrams-design-aid-no-6-656183","BEAM DESIGN FORMULAS WITH SHEAR AND MOMENT DIAGRAMS - Design Aid No. 6","","Design Aid No. 6 provides beam design formulas together with shear and moment diagrams for determining structural response under a range of static loading conditions. It defines key symbols used in the diagrams, including elastic modulus, span length, moment of inertia, shear and reaction forces, distributed and concentrated loads, and deflection. The document organizes content as a sequence of figures covering simply supported beams, cantilevers, and beams with fixed or overhanging supports, each paired with corresponding formula sets.",{"@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":30,"@type":76,"position":81},"https://docshare.wps.com/document/technology/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/beam-design-formulas-with-shear-and-moment-diagrams-design-aid-no-6-656183/656183/",{"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/beam-design-formulas-with-shear-and-moment-diagrams-design-aid-no-6-656183/656183.png","ImageObject",300,407,{"name":92,"@type":93},"Mabel","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-26","2026-10-25",true,{"@type":102,"interactionType":103,"userInteractionCount":14},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does Design Aid No. 6 cover?","Question",{"text":112,"@type":113},"It provides shear and moment diagrams and accompanying formulas for the design of beams under various static loading conditions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which supports and loading cases are included in the figure set?",{"text":117,"@type":113},"The figures include simply supported beams, cantilever beams, fixed-end beams, and beams with overhangs, each shown under different uniform and concentrated load arrangements.",{"name":119,"@type":110,"acceptedAnswer":120},"What key variables are defined for using the formulas and diagrams?",{"text":121,"@type":113},"The document defines terms such as E (modulus of elasticity), I (moment of inertia), L/R span length, M maximum bending moment, P concentrated load, V shear force, w distributed load, and x deflection position along the beam.","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},656183,1793007003,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":29,"category_name":30,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":14,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":46,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":31},7971474920318,"https://ap-avatar.wpscdn.com/avatar/74000ee537e6b0ca360?x-image-process=image/resize,m_fixed,w_180,h_180&k=1788430171632181674","Ame ne caneriaan Wood oo cunnn ill  \nBEAM DESIGN FORMULAS WITH SHEAR AND MOMENT DIAGRAMS  \n|  |  |  |\n| --- | --- | --- |\n| 2005 EDITION\u003Cbr>ANSI/AF&PA NDS-2005 Approval Date: JANUARY 6, 2005\u003Cbr>\u003Cbr>| |  |\n| ASD/LRFD |  |  |\n| N D S®\u003Cbr>NATIONAL DESIGN SPECIFICATION®\u003Cbr>FOR WOOD CONSTRUCTION |  |  |\n| WITH COMMENTARY AND\u003Cbr>SUPPLEMENT: DESIGN VALUES FOR WOOD CONSTRUCTION |  |  |\n| |  | American Forest & Paper Association\u003Cbr>Wood |\n\n􀀂 x  \nw􀀂  \nMoment  \nDESIGN AID No. 6  \nAmerican Forest & Paper Association  \nBEAM FORMULAS WITH SHEAR AND MOMENT DIAGRAMS  \nThe American Wood Council (AWC) is part of the wood products group of the American Forest & Paper Association (AF&PA). AF&PA is the national trade association of the forest, paper, and wood products industry, representing member companies engaged in growing, harvesting, and processing wood and wood fiber, manufacturing pulp, paper, and paperboard products from both virgin and recycled fiber, and producing engineered and traditional wood products. For more information [see www.afandpa.org](see www.afandpa.org).  \nWhile every effort has been made to insure the accuracy of the information presented, and special effort has been made to assure that the information reflects the state-ofthe-art, neither the American Forest & Paper Association nor its members assume any responsibility for any particular design prepared from this publication. Those using this document assume all liability from its use.  \nCopyright © 2007  \nAmerican Forest & Paper Association, Inc.  \nAmerican Wood Council  \n1111 19th St., NW, Suite 800 Washington, DC 20036  \n202-463-4713  \n[awcinfo@afandpa.org](awcinfo@afandpa.org)  \n[www.awc.org](www.awc.org)  \nAMERICAN WOOD COUNCIL  \nIntroduction Notations Relative to “Shear and Moment  \nDiagrams”  \nFigures 1 through 32 provide a series of shear and moment diagrams with accompanying formulas for design of beams under various static loading conditions.  \nShear and moment diagrams and formulas are excerpted from the Western Woods Use Book, 4th edition, and are provided herein as a courtesy of Western Wood Products Association.  \nE = modulus of elasticity, psi I = moment of inertia, in.4  \nL = span length of the bending member, ft. R = span length of the bending member, in. M = maximum bending moment, in.-lbs. P = total concentrated load, lbs.  \nR = reaction load at bearing point, lbs. V = shear force, lbs.  \nW = total uniform load, lbs.  \nw = load per unit length, lbs./in.  \nΔ = deflection or deformation, in.  \nx = horizontal distance from reaction to point on beam, in.  \nList of Figures  \nFigure 1 Simple Beam – Uniformly Distributed Load ................................................................................................ 4  \nFigure 2 Simple Beam – Uniform Load Partially Distributed ..................................................................................... 4  \nFigure 3 Simple Beam – Uniform Load Partially Distributed at One End .................................................................. 5  \nFigure 4 Simple Beam – Uniform Load Partially Distributed at Each End ................................................................ 5  \nFigure 5 Simple Beam – Load Increasing Uniformly to One End .............................................................................. 6  \nFigure 6 Simple Beam – Load Increasing Uniformly to Center .................................................................................. 6  \nFigure 7 Simple Beam – Concentrated Load at Center ............................................................................................... 7  \nFigure 8 Simple Beam – Concentrated Load at Any Point .......................................................................................... 7  \nFigure 9 Simple Beam – Two Equal Concentrated Loads Symmetrically Placed ....................................................... 8  \nFigure 10 Simple Beam – Two Equal Concentrated Loads Unsymmetrically Placed .................................","cbCaiphwtgERvc0K","https://ap.wps.com/l/cbCaiphwtgERvc0K","pdf",474419,"English","# Introduction\n## Notations Relative to “Shear and Moment Diagrams”\n## List of Figures","[{\"question\":\"What does Design Aid No. 6 cover?\",\"answer\":\"It provides shear and moment diagrams and accompanying formulas for the design of beams under various static loading conditions.\"},{\"question\":\"Which supports and loading cases are included in the figure set?\",\"answer\":\"The figures include simply supported beams, cantilever beams, fixed-end beams, and beams with overhangs, each shown under different uniform and concentrated load arrangements.\"},{\"question\":\"What key variables are defined for using the formulas and diagrams?\",\"answer\":\"The document defines terms such as E (modulus of elasticity), I (moment of inertia), L/R span length, M maximum bending moment, P concentrated load, V shear force, w distributed load, and x deflection position along the beam.\"}]","BEAM DESIGN FORMULAS WITH SHEAR AND MOMENT DIAGRAMS - Design Aid No. 6 | PDF",1792966881]