Did you know that you could use Consteel to calculate the elastic critical moment of a member subject to arbitrary loading and boundary conditions?

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Consteel offers a range of load combination filtering options, which can be applied based on limit states, load cases, and analysis and design results. By applying different series of filters, designers can streamline their workflow and reduce calculation time.

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Teil 1: Unterschiede bei der Stabilitätsausnutzung

Der Eurocode EN 1993-1-1 bietet grundsätzlich zwei Verfahren für den Stabilitätsnachweis von Stäben an:

(1) basierend auf Abminderungsfaktoren (Knickkurven) und

(2) basierend auf äquivalenten (eigenformaffinen) geometrischen Imperfektionen.

In diesem Artikel wird untersucht, wie sich diese beiden Methoden in Bezug auf die endgültige Stabauslastung Im Vergleich verhalten. Der Einfachheit halber betrachten wir nur eine einfache zentrisch beanspruchte Druckstütze, die auf Biegeknicken versagt. Für Fall (1) wird Kapitel 6.3.1 verwendet, während für Fall (2) angenommen wird, dass die Imperfektionen die Form der zum ersten Eigenwert gehörenden Knickfigur annehmen, und das entsprechende Kapitel ist 5.3.2 (11).

Offensichtlich sollten diese zwei Standardverfahren die gleiche Ausnutzung für das gleiche Problem ergeben. Dies ist jedoch im Allgemeinen bei weitem nicht der Fall.

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Gewöhnlich zeigt traditionelle baustatische Software die Verformungen von Balken mit ihren Querschnitten auf der verformten Schwerachse. ConSteel 15 dagegen benutzt eine fortschrittliche Methode für Deformationsdarstellungen, die feiner und realistischer ist. Natürlich sind die numerischen Ergebnisse identisch, aber mit der verfeinerten Visualisierung kann das 3D-Verhalten der Balkenstruktur besser erkannt werden.

Comparison of chosen methods for estimation of critical lateral torsional buckling bending moment of web-tapered I-beams. In this article, the elastic critical bending moments of the web-tapered I-beams calculated by the analytical and numerical solutions developed last years by researchers involved in the topic were compared with own calculations carried out with available common tools. The main goal was to verify the accuracy and convergence of the results provided by different modern methods and different finite bar elements 1D with 7 degrees od freedom at the node (7DOF).

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D. Czepiżak, A. Machowiak: Comparison of chosen methods for estimation of critical lateral torsional buckling bending moment of web-tapered I-beams. Inżynieria i Budownictwo Nr 5–6/2021

Consteel 14 is a powerful analysis and design software for structural engineers. Watch our video how to get started with Consteel.

Contents

• Set analysis parameters
• Perform first and second order analysis
• Perform buckling analysis
• Analysis results in graphics and in tables
• Results: deformation, internal forces, reactions

This article aims to cover the theoretical background of the shear field stiffness determination methods implemented in Consteel. Modeling with the shear field stiffness based method will also be compared with shell modeling of trapezoidal deckings in Consteel.

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Modeling of tapered elements

Stability calculation of tapered members is always a difficult problem despite its popularity in steel hall construction.

Generally in analysis software for the stability analysis a segmented but uniform beam element method is used where a member with I or H cross section and with variable web depth is divided into n segments and the depth of each segment is taken equal to the real depth measured at the middle of the segment. The lengths of the segments were taken equal, except at both ends where additional shorter segments are added in order the better approximate the real depth of the elements to be modeled. Such model captures correctly the in-plane displacements, but cannot consider accurately the additional torsion coming from the axial stresses due to warping in the flanges which are not parallel with the reference line in case of tapered elements.

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Introduction

As you may already know, you can check the max, min and min-max envelope diagrams for (first and second order) analysis results in Consteel. But you can also create your own envelope figures…

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Introduction

In case of a model with a lot of load cases (wind in different directions, with and without internal pressure, snow,seismic etc.), hundreds of load combinations can be generated acc. to EC but many of these combinations are irrelevant. Running an Analysis on all of the load combinations can take a lot of time, that could be saved, if the relevant load combinations are calculated only.

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