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Abstract:	Für den Tragfähigkeitsnachweis nach Theorie II. Ordnung wird der Stich e0 der Vorkrümmungen der Einzelstäbe benötigt. In dem Nationalen Anhang DIN EN 1999-1-1/NA/A1 wird als NDP zu 5.3.2(3) beschrieben, wie dieser ermittelt werden darf. Es werden die Gleichungen für die auf die Stablänge L bezogene Vorkrümmung e0/L für sechs verschiede Querschnittsformen, die ein breites Spektrum abdecken, für lineare Interaktionsbeziehungen sowie für nichtlineare Interaktionsbeziehungen hergeleitet. Die hergeleiteten Gleichungen stellen e0/L als Funktion von Faktoren dar, von denen der erste den Querschnitt, der zweite die Streckgrenze fo und der dritte die bezogene Schlankheit, Knickklasse und Interaktionsbeziehung erfasst. Die numerische Auswertung dieser Gleichungen ergibt ungünstigste Grenzwerte von e0/L, die aber angesichts des großen Spektrums der Parameter im Allgemeinen so weit auf der sicheren Seite liegen, dass die Anwendung der zugrunde liegenden Gleichungen empfohlen wird. Für Stäbe mit über den Querschnitt infolge WEZ veränderlicher Streckgrenze fo werden die Berechnungsmöglichkeiten am Beispiel eines dünnwandigen Kreisrohres dargestellt. Determination of initial bow imperfections e0 for second-order analysis of aluminum structures according to EN 1999-1-1. The initial bow imperfection e0 is required if structures are designed with the internal forces and moments from second-order analysis. The National Annex DIN EN 1999-1-1/NA/A1 as a NDP to 5.3.2(3) of DIN EN 1999-1-1 describes how e0 may be calculated. Based on this, formulae are derived for calculating the relative initial bow imperfections e0/L for six very different types of cross sections which cover a very wide range. Linear as well as nonlinear M-N-interaction relations are used depending on the type of cross section. These formulae describe e0/L as product of functions of which the first depends on the cross section, the second on the proof strength fo and the third on relative slenderness, buckling class and interaction relation. The numerical evaluation of these formulae gives conservative limit values for e0/L. However, due to the wide range of the parameters these values will in general be that far on the safe side that the application of the formula with the relevant parameters is recommended. For members where fo due to the HAZ is variable over the cross section a linear and alternatively a nonlinear interaction relation may be used as safe approximation. This is demonstrated with a thin-walled circular tube.
Source:	Stahlbau 85 (2016), No. 6
Page/s:	409-417
Language of Publication:	German

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