{"id":14904,"date":"2025-03-13T09:19:39","date_gmt":"2025-03-13T09:19:39","guid":{"rendered":"https:\/\/support.buildsoft.eu\/?post_type=ht_kb&p=14904"},"modified":"2026-03-29T08:11:18","modified_gmt":"2026-03-29T08:11:18","slug":"dt-ec-01-shear","status":"publish","type":"ht_kb","link":"https:\/\/support.buildsoft.eu\/nl\/knowledge-base\/dt-ec-01-shear\/","title":{"rendered":"DT EC 01: Shear"},"content":{"rendered":"

Description<\/h2>\n

\"\"<\/p>\n

\n\n\n\n\n\n\n\n
Geometry<\/th>\nCross-section:<\/td>\n70x221mm<\/td>\n<\/tr>\n
Material:<\/td>\nC24<\/td>\n<\/tr>\n
Load<\/th>\nULS FC:<\/td>\n7.16kN<\/td>\n<\/tr>\n
Standard<\/th>\n<\/td>\nEN 1995-1-1 [- -]<\/td>\n<\/tr>\n
Design parameters<\/th>\nkmod<\/sub>:<\/td>\n0.8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Independent reference results<\/h2>\n
<\/span>Open handcalculations<\/div>
\n

According to EN 1995-1-1 \u00a76.1.7 (1)P the shear check implies:<\/p>\n

  <\/span>   <\/span>\"\[\tau_d \leq f_v_._d\]\"<\/p>\n

with<\/p>\n

    \n
  • \"\tau_d\" the design shear stress<\/li>\n
  • \"f_v_._d\" the design shear strength (= a material property)<\/li>\n<\/ul>\n

    From any course on mechanics, you can find that the maximal shear stress in a rectangular section equals:<\/p>\n

      <\/span>   <\/span>\"\[\tau_d=\frac{3 \cdot V_E_d}{2 \cdot A}\]\"<\/p>\n

    Combining both equations gives:<\/p>\n

      <\/span>   <\/span>\"\[ \frac{3 \cdot V_{Ed}}{2 \cdot A} \leq f_v_._d\]\"<\/p>\n

    or<\/p>\n

      <\/span>   <\/span>\"\[V_{Ed} \leq \frac{2 f_v_._d \cdot A}{3} \]\"<\/p>\n

    The area \"A\" of a rectangular section equals \"b \cdot h\":<\/p>\n

      <\/span>   <\/span>\"\[V_{Ed} \leq \frac{2}{3} b \cdot h \cdot f_v_._d \]\"<\/p>\n

    Yet the addendum EN 1995-1-1\/A1:2008 \u00a76.1.7 (2) states that the effective width \"b_{eff} = b \cdot k_{cr}\"; should be used instead of the width \"b\" to take the influence of cracks into account.Addendum EN 1995-1-1\/A1: 2008 for solid and glued laminated timber, \"k_{cr}= 1.0\" for all other wood based products.<\/p>\n

      <\/span>   <\/span>\"\[V_{Ed} \leq \frac{2}{3} \cdot b_{eff} \cdot h \cdot f_{v.d}\]\"<\/p>\n

      <\/span>   <\/span>\"\begin{align*}<\/p>\n

      <\/span>   <\/span>\"\begin{align*}<\/p>\n<\/div><\/div><\/div>\n

    Diamonds results and comparison<\/h2>\n

    \"\"<\/p>\n

    Strength verification of the beam according to EN 1995-1-1. At the end of the bar, the shear is decisive. In the middle of the beam it’s bending.<\/strong><\/p>\n

    \"\"<\/p>\n

    Intermediate results in Diamonds for lateral torsional buckling<\/strong><\/p>\n

    \n\n\n\n\n
    Results<\/th>\nIndependent reference<\/th>\nDiamonds<\/th>\nDifference<\/th>\n<\/tr>\n
    Unity check<\/td>\n42.3%<\/td>\n42.1%<\/td>\n-0.47%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

    References<\/h2>\n
      \n
    • EN 1995-1-1: 2005 + AC: 2006<\/li>\n
    • Addendum EN 1995-1-1\/A1: 2008<\/li>\n<\/ul>\n
        \n
      • Tested in Diamonds 2026.<\/li>\n<\/ul>\n\n","protected":false},"excerpt":{"rendered":"

        Description Independent reference results Diamonds results and comparison Strength verification of the beam according to EN 1995-1-1. At the end of the bar, the shear is decisive. In the middle of the beam it’s bending. Intermediate results in Diamonds for lateral torsional buckling References EN 1995-1-1: 2005 + AC: 2006…<\/p>\n","protected":false},"author":3,"comment_status":"closed","ping_status":"closed","template":"","format":"standard","meta":[],"ht-kb-category":[1213],"ht-kb-tag":[1267,1310,653,1309,451,1265,1308,1311],"_links":{"self":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/14904"}],"collection":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb"}],"about":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/types\/ht_kb"}],"author":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/comments?post=14904"}],"version-history":[{"count":3,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/14904\/revisions"}],"predecessor-version":[{"id":28334,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/14904\/revisions\/28334"}],"wp:attachment":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/media?parent=14904"}],"wp:term":[{"taxonomy":"ht_kb_category","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb-category?post=14904"},{"taxonomy":"ht_kb_tag","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb-tag?post=14904"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}