{"id":364,"date":"2024-01-26T21:35:05","date_gmt":"2024-01-27T05:35:05","guid":{"rendered":"https:\/\/www.fwhb.ca\/?page_id=364"},"modified":"2024-08-23T11:08:05","modified_gmt":"2024-08-23T18:08:05","slug":"limit-states-design-lsd","status":"publish","type":"page","link":"https:\/\/www.fwhb.ca\/?page_id=364","title":{"rendered":"Limit States Design (LSD)"},"content":{"rendered":"\n<h4 class=\"wp-block-heading has-small-font-size\">Loads applied on the formwork and falsework <\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">In Table 2 of the standard, the loads are defined as followed<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-regular\"><table><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">DL<\/td><td>Dead load<\/td><td>Forming and shoring equipment self-weight<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">LL<\/td><td>Live load<\/td><td>Workers and tools<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">C<\/td><td>Concrete<\/td><td>Fresh concrete weight (vertical)<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">P<\/td><td>Concrete pressure<\/td><td>Lateral concrete pressure (horizontal)<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">W<\/td><td>Wind load<\/td><td>Wind load on braces and lateral supports<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">H<\/td><td>Horizontal loads<\/td><td>Other loads then the lateral concrete pressure and wind load<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">E<\/td><td>Environmental loads<\/td><td>Site specific conditions<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">CL<\/td><td>Additional construction loads<\/td><td>Major concrete placing ands screeding equipment or other site specific conditions<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">ML<\/td><td>Material loads<\/td><td>Site specific material storage and falsework and access<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">PT<\/td><td>Post tensioning loads<\/td><td>For pre-stress concrete elements<\/td><\/tr><\/tbody><\/table><figcaption class=\"wp-element-caption\">Load types and definitions, Clause 5.3<\/figcaption><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\">Load combinations<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">From Table 5 of the standard, the load combinations and the load factors <strong>(\\(\\alpha\\))<\/strong> are defined as the following<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>Load Cases (LC)<\/th><th>DL<\/th><th>LL<\/th><th>C<\/th><th>P<\/th><th>W<\/th><th>H<\/th><th>E<\/th><th>CL<\/th><th>ML<\/th><th>PT<\/th><\/tr><\/thead><tbody><tr><td>Direction<\/td><td>V<\/td><td>V<\/td><td>V<\/td><td>H<\/td><td>V\/H<\/td><td>H<\/td><td>V\/H<\/td><td>V\/H<\/td><td>V<\/td><td>V\/H<\/td><\/tr><tr><td>LC1<\/td><td>1.00<\/td><td>&#8211;<\/td><td>&#8211;<\/td><td>&#8211;<\/td><td>1.50<\/td><td>1.50<\/td><td>1.50<\/td><td>&#8211;<\/td><td>&#8211;<\/td><td>&#8211;<\/td><\/tr><tr><td>LC2<\/td><td>1.25<\/td><td>1.50<\/td><td>1.50*<\/td><td>1.50<\/td><td>1.50<\/td><td>1.50<\/td><td>1.50<\/td><td>1.50<\/td><td>&#8211;<\/td><td>&#8211;<\/td><\/tr><tr><td>LC3<\/td><td>1.25<\/td><td>1.50<\/td><td>1.50<\/td><td>&#8211;<\/td><td>&#8211;<\/td><td>1.50<\/td><td>&#8211;<\/td><td>&#8211;<\/td><td>1.50<\/td><td>1.00<\/td><\/tr><\/tbody><\/table><figcaption class=\"wp-element-caption\">Load cases and load factors <strong>(\\(\\alpha\\))<\/strong>, Clause 6.3.2<br>* refer to clause 6.3.2.5 Reduction of concrete load factor<br>( V: vertical loads and H: horizontal loads )<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Where the load cases are defined as follow<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>LC1<\/td><td>Unloaded falsework and formwork or no concrete load. This load case is mostly affected by the wind horizontal pressure (W).<\/td><\/tr><tr><td>LC2<\/td><td>Falsework and formwork during concrete placement. For must falsework LC2 = 1.25DL + 1.5LL+1.5C. Since DL is relatively small compared to LL and C we use for simplicity LC2 = 1.5(DL+LL+C).<\/td><\/tr><tr><td>Lc3<\/td><td>Loaded falsework and formwork after concrete placement.<\/td><\/tr><\/tbody><\/table><figcaption class=\"wp-element-caption\">Load cases description, Clause 6.3.2<\/figcaption><\/figure>\n\n\n\n<h5 class=\"wp-block-heading\">*Reduction of concrete load factor<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">The load factor \\(\\alpha C\\) can be reduce if the placed concrete <strong>surface area<\/strong> supported by one element (stringer, post) is greater than \\(12.5m^2\\). Clause 6.3.2.5.1 specify the formula and the load factor range, this clause is not cover here because it is rarely used. It would apply to falsework design with a \\(12ft*12ft\\) or greater post spacing. <br><br>The load factor \\(\\alpha C\\) can be reduce if the placed concrete <strong>depth<\/strong> is greater than \\(0.55m\\). As per Clause 6.3.2.5.2, for \\(LL=1.90kPa\\), \\(\\alpha C\\) varies from 1.50 for depth less than \\(0.55m\\) to 1.25 for depth greater than \\(1.25m\\) as per the formula below.<br><br>\\(\\alpha C=1.25\\leq(0.5+\\sqrt{\\frac{1.75}r})\\times1.5\\leq1.50\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">where \\(r=\\frac{C}{LL}\\)<br>\\(C = \\rho_c*h\\)<br>\\(\\rho_c = 24 \\frac{kN}{m^3}\\)<br>\\(h=\\) concrete depth<br><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"973\" height=\"683\" src=\"https:\/\/www.fwhb.ca\/wp-content\/uploads\/2024\/01\/alphaC-graf-m.jpg\" alt=\"\" class=\"wp-image-464\" srcset=\"https:\/\/www.fwhb.ca\/wp-content\/uploads\/2024\/01\/alphaC-graf-m.jpg 973w, https:\/\/www.fwhb.ca\/wp-content\/uploads\/2024\/01\/alphaC-graf-m-300x211.jpg 300w, https:\/\/www.fwhb.ca\/wp-content\/uploads\/2024\/01\/alphaC-graf-m-768x539.jpg 768w\" sizes=\"auto, (max-width: 973px) 100vw, 973px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Concrete load factor \\(\\alpha C\\) as a function of the concrete depth \\(h\\) measured in meters<\/p>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"993\" height=\"678\" src=\"https:\/\/www.fwhb.ca\/wp-content\/uploads\/2024\/01\/alphaC-graf-in.jpg\" alt=\"\" class=\"wp-image-465\" srcset=\"https:\/\/www.fwhb.ca\/wp-content\/uploads\/2024\/01\/alphaC-graf-in.jpg 993w, https:\/\/www.fwhb.ca\/wp-content\/uploads\/2024\/01\/alphaC-graf-in-300x205.jpg 300w, https:\/\/www.fwhb.ca\/wp-content\/uploads\/2024\/01\/alphaC-graf-in-768x524.jpg 768w\" sizes=\"auto, (max-width: 993px) 100vw, 993px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Concrete load factor \\(\\alpha C\\) as a function of the concrete depth \\(h\\) measured in inches<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Loads applied on the formwork and falsework In Table 2 of the standard, the loads are defined as followed DL Dead load Forming and shoring equipment self-weight LL Live load Workers and tools C Concrete Fresh concrete weight (vertical) P Concrete pressure Lateral concrete pressure (horizontal) W Wind load Wind load on braces and lateral &hellip; <a href=\"https:\/\/www.fwhb.ca\/?page_id=364\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Limit States Design (LSD)<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-364","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.fwhb.ca\/index.php?rest_route=\/wp\/v2\/pages\/364","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fwhb.ca\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.fwhb.ca\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.fwhb.ca\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fwhb.ca\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=364"}],"version-history":[{"count":9,"href":"https:\/\/www.fwhb.ca\/index.php?rest_route=\/wp\/v2\/pages\/364\/revisions"}],"predecessor-version":[{"id":829,"href":"https:\/\/www.fwhb.ca\/index.php?rest_route=\/wp\/v2\/pages\/364\/revisions\/829"}],"wp:attachment":[{"href":"https:\/\/www.fwhb.ca\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=364"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}