{"id":21705,"date":"2025-08-29T15:01:26","date_gmt":"2025-08-29T15:01:26","guid":{"rendered":"https:\/\/support.buildsoft.eu\/docs\/wapeningsberekening-in-oppervlakken\/"},"modified":"2026-03-11T16:06:19","modified_gmt":"2026-03-11T16:06:19","slug":"wapeningsberekening-in-oppervlakken","status":"publish","type":"docs","link":"https:\/\/support.buildsoft.eu\/nl\/docs\/diamonds\/ontwerp-van-gewapend-beton\/wapeningsberekening\/wapeningsberekening-in-oppervlakken\/","title":{"rendered":"Wapeningsberekening in oppervlakken"},"content":{"rendered":"<p><\/p>\n\n<h3 class=\"wp-block-heading\">Voor buiging<\/h3>\n\n<p style=\"font-size:16px\">Uit de elastische analyse volgen de resultaten voor M<sub>xx<\/sub>, M<sub>zz<\/sub> and M<sub>xz<\/sub> in elke meshknoop. Bij de wapeningsberkenening kan de bijdragen van het torsiemoment M<sub>xz<\/sub> niet verwaarloosd worden.<\/p>\n\n<p style=\"font-size:16px\">Op elk punt van de plaat bestaat er een paar orthogonale richtingen (de hoofdrichtingen) waar het torsiemoment M<sub>xz<\/sub> verdwijnt ( M<sub>xz<\/sub> =0). In die richtingen zijn de <strong>buigmomenten <\/strong>de <strong>hoofdmomenten <\/strong>M1 en M<sub>2<\/sub>. <\/p>\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><a href=\"https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2025\/08\/FiguurHoofdmomenten2.png\"><img decoding=\"async\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2025\/08\/FiguurHoofdmomenten2.png\" alt=\"\" class=\"wp-image-19290\" width=\"800\"\/><\/a><\/figure>\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 36px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/ql-cache\/quicklatex.com-dba8ec0075f5e50a4ad1ef25360eff94_l3.png\" height=\"36\" width=\"396\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91;&#77;&#95;&#123;&#49;&#44;&#50;&#125;&#61;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;&#32;&#40;&#77;&#95;&#123;&#120;&#120;&#125;&#32;&#43;&#32;&#77;&#95;&#123;&#122;&#122;&#125;&#32;&#92;&#112;&#109;&#32;&#92;&#115;&#113;&#114;&#116;&#123;&#40;&#77;&#95;&#123;&#120;&#120;&#125;&#32;&#45;&#32;&#77;&#95;&#123;&#122;&#122;&#125;&#41;&#94;&#123;&#50;&#125;&#43;&#32;&#52;&#92;&#99;&#100;&#111;&#116;&#32;&#77;&#95;&#123;&#120;&#122;&#125;&#94;&#123;&#50;&#62;&#36;&#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n<p style=\"font-size:16px\">De hoek <img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/ql-cache\/quicklatex.com-7b2034939b850e3311120fca462ab64e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#104;&#101;&#116;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"\/>\u200b tussen de x&#8217;-as en het richting van M<sub>1<\/sub>\u200b is:<\/p>\n\n<p><p class=\"ql-center-displayed-equation\" style=\"line-height: 39px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/ql-cache\/quicklatex.com-9bca6e65e7a1266d1ec2aa5617e1c3ef_l3.png\" height=\"39\" width=\"171\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91;&#116;&#97;&#110;&#40;&#50;&#92;&#116;&#104;&#101;&#116;&#97;&#41;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#77;&#95;&#123;&#120;&#122;&#125;&#125;&#123;&#77;&#95;&#123;&#120;&#120;&#125;&#45;&#77;&#95;&#123;&#122;&#122;&#125;&#125;&#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><\/p>\n\n<p style=\"font-size:16px\">Je zou de hoofdmomenten M<sub>1<\/sub> en M<sub>2<\/sub> kunnen gebruiken om de benodigde wapening in de plaat te berekenen, maar dit leidt tot wapening op een gebogen pad. Dat maakt het onpraktisch in het echte leven. <\/p>\n\n<p><\/p>\n\n<p style=\"font-size:16px\">Diamonds berekent de wapening met behulp van Wood-Armer momenten. Dit resulteert in een orthogonaal wapeningsnet: de wapening loopt altijd parallel aan de lokale x&#8217;- en y&#8217;-as van het oppervlak. <\/p>\n\n<figure class=\"wp-block-image aligncenter size-full\"><a href=\"https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2025\/08\/Diagram_wapening-moment.png\"><img decoding=\"async\" loading=\"lazy\" width=\"521\" height=\"291\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2025\/08\/Diagram_wapening-moment.png\" alt=\"\" class=\"wp-image-19265\"\/><\/a><\/figure>\n\n<p class=\"has-text-align-center\">(ENV 1992-1-1 \u00a7A2.8)<\/p>\n\n<p style=\"font-size:16px\">Opmerkingen:<\/p>\n\n<ul>\n<li>Meer info over de Wood-Armer momenten in: R. H. WOOD, The reinforcement of slabs in accordance with a pre-determined fiel of moments (original paper), feb 1968<\/li>\n\n\n\n<li>Voor wapeningsberekeningen volgens NEN 6720, gebruikt Diamonds volgende wapeningsmomenten: <br\/>\\[M_{u,dx}=M_{xx} \\pm \\left| M_{xz} \\right| \\text{ and } m=&#8221;&#8221; m_=&#8221;&#8221;]<\/li>\n<\/ul>\n\n<h3 class=\"wp-block-heading\">Voor axiale kracht<\/h3>\n\n<p>Analoog aan het moment worden de wapeningskrachten bepaald op basis van de interne krachten N<sub>xx<\/sub>, N<sub>zz<\/sub>, N<sub>xz<\/sub>.<\/p>\n\n<figure class=\"wp-block-image aligncenter size-full\"><a href=\"https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2025\/08\/Diagram_wapening-normaalkracht.png\"><img decoding=\"async\" loading=\"lazy\" width=\"521\" height=\"227\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2025\/08\/Diagram_wapening-normaalkracht.png\" alt=\"\" class=\"wp-image-19352\"\/><\/a><\/figure>\n\n<p class=\"has-text-align-center\">(Source: ENV 1992-1-1 \u00a7A2.9)<\/p>\n","protected":false},"featured_media":0,"parent":21852,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","doc_tag":[],"comment_count":0,"_links":{"self":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/docs\/21705"}],"collection":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/docs"}],"about":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/types\/docs"}],"replies":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/comments?post=21705"}],"version-history":[{"count":4,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/docs\/21705\/revisions"}],"predecessor-version":[{"id":26158,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/docs\/21705\/revisions\/26158"}],"up":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/docs\/21852"}],"next":[{"title":"Berekening van de ponswapening in (funderings)platen","link":"https:\/\/support.buildsoft.eu\/nl\/docs\/diamonds\/ontwerp-van-gewapend-beton\/wapeningsberekening\/berekening-van-de-ponswapening-in-funderingsplaten\/","href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/docs\/21723"}],"prev":[{"title":"Wapeningsberekening in staven","link":"https:\/\/support.buildsoft.eu\/nl\/docs\/diamonds\/ontwerp-van-gewapend-beton\/wapeningsberekening\/wapeningsberekening-in-staven\/","href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/docs\/21699"}],"wp:attachment":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/media?parent=21705"}],"wp:term":[{"taxonomy":"doc_tag","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/doc_tag?post=21705"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}