Does the Front Row Carry It All? Concrete Edge Failure of Multi-Row Anchor Groups in EN 1992-4

A Critical Re-examination by Hand Calculation, Nonlinear Finite-Element Analysis (Code_Aster) and the AAS Equal-Share Method

Abstract

EN 1992-4 verifies concrete edge failure of a multi-row anchor group loaded in shear towards a free edge by assuming that only the row closest to the edge is effective and that it carries the whole shear load. The consequence is paradoxical: the verified resistance does not grow when rows are added behind the front row, it falls when a row is added in front of existing anchors, and it rises when the holes of the front row are deliberately slotted so that those anchors carry nothing. For a 3 × 3 group of M12 wedge anchors (s = 150 mm, h_ef = 70 mm, C25/30, h = 250 mm) at c₁ = 75, 100 and 150 mm, the code gives 31, 39 and 56 kN (uncracked), while the same anchors with the front row slotted give 73, 78 and 87 kN. The paper examines this rule with three tools: the EN 1992-4 calculation, the equal-share method implemented in the AAS anchor-design software, and a three-dimensional nonlinear finite-element analysis in Code_Aster with a regularised damage model for concrete, elastic steel shanks and a rigid fixture. Without hole clearance every row is active up to failure: the group resists 5.4, 3.9 and 2.9 times the load of the front row acting alone, where EN 1992-4 assumes 1.0. Removing the front row does not increase the computed resistance, so adding anchors near the edge does not weaken the group; with a hole clearance that lets the front row fail first, the group still reaches 92 to 94 % of its resistance at a larger displacement. The equal-share (AAS) method is close to this behaviour; a verification rule is proposed that keeps the equal share and adds a check of the global break-out body behind the back row. It is conservative by a nearly constant factor of 1.4 to 1.6 with respect to the normalised finite-element results, against 2.9 to 4.7 for the present rule.