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Stress Analysis of Steel Beams Made of Sigma Cross-Section

Dybizbański Maciej A., Rzeszut Katarzyna, Szczepańska Aleksandra

Advances in Science and Technology. Research Journal

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2022

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Vol. 16, no 4

106--118

EN

This paper presents a stress analysis of elements made of a steel cold-formed sigma cross-section, uniformly loaded in a plane parallel to the web and not passing through the shear centre. Such an application of a load very often occurs in engineering practice and corresponds to the application of a load to the upper flange of the cross-section. It usually result in an additional torsional moment. In this paper, special attention is paid to normal stresses from the bi-moment, and shear stresses from restrained and free torsion. The contribution of these stresses to the section utilization was evaluated on the example of a sigma cross-section with different thicknesses of the wall. Furthermore, the paper also included the stresses analysis concerning different load locations at the upper flange. All numerical calculations were made using analytical approach based on Vlasov beam theory.

2

Static response of curved steel thin-walled box-girder bridge subjected to Indian railway loading

Verma V., Nallasivam K.

Journal of Achievements in Materials and Manufacturing Engineering

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2021

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Vol. 108, nr 2

63--74

EN

Purpose: The primary objective of the current study is to numerically model the steel thin-walled curved box-girder bridge and to examine its various response parameters subjected to Indian Railway loading. Design/methodology/approach: The analysis is conducted by adopting a one dimensional curved thin-walled box-beam finite beam element based on finite element methodology. The scope of the work includes a computationally efficient, three-noded, one-dimensional representation of a thin-walled box-girder bridge, which is especially desirable for its preliminary analysis and design phase, as well as a study of the static characteristics of a steel curved bridge, which is critical for interpreting its dynamic response. Findings: The analytical results computed using finite element based MATLAB coding are presented in the form of various stress resultants under the effect of various combinations of Indian Railway loads. Additionally, the variation in different response parameters due to changes in radius and span length has also been investigated. Research limitations/implications: The research is restricted to the initial design and analysis phase of box-girder bridge, where the wall thickness is small as compared to the cross-section dimensions. The current approach can be extended to future research using a different method, such as Extended finite element technique on curved bridges by varying boundary conditions and number of elements. Originality/value: The validation of the adopted finite element approach is done by solving a numerical problem, which is in excellent agreement with the previous research findings. Also, previous studies had aimed at thin-walled box girders that had been exposed to point loading, uniformly distributed loading, or highway truck loading, but no research had been done on railway loading. Moreover, no previous research had performed the static analysis on thin-walled box-girders with six different response parameters, as the current study has. Engineers will benefit greatly from the research as it will help them predict the static behaviour of the curved thin-walled girder bridge, as well as assess their free vibration and dynamic response analysis.

3

Zginanie i skręcanie belek o przekroju mono-symetrycznym

Bijak R., Kołodziej G.

Czasopismo Inżynierii Lądowej, Środowiska i Architektury / Journal of Civil Engineering, Environment and Architecture

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2016

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z. 63, nr 1/I

315--322

PL

W pracy przedstawiono metodę wymiarowania zginanych i skręcanych belek monosymetrycznych opracowaną na podstawie [1]. Uwzględnia ona teorię skręcania Własowa i wprowadza pojęcie bimomentu. Moment zginający względem osi słabszej analizowano w konfiguracji odkształconej [2]. W celu wyznaczenia kąta skręcenia przekroju skorzystano ze wzorów teorii Własowa, zawartych w pracy Ruteckiego [3].

EN

In presented paper it was shown method of calculation beams of monosymmetric cross-section, under simultaneous bending and torsion, elaborated on basis of standard [1]. The method takes into account Vlasov’s theory of torsion and introduces concept of bimoment. Bending moment about the minor axis of inertia (=axis of symmetry) is analyzed with respect to deformed configuration of section [2]. Analytic formulas for angle of twist are based on Vlasov’s formulas shown in Rutecki’s book [3].

4

Nośność i stateczność stalowych belek o przekroju ceowym

Szczerba R

Budownictwo i Architektura

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2013

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Vol. 12, nr 2

283--290

PL

W pracy przedstawiono analizę nośności i stateczności elementów o przekroju ceowym, obciążonych w płaszczyźnie równoległej do środnika, nie przechodzącej przez środek ścinania. Następstwem tego jest powstanie momentu skręcającego, który generuje powstanie naprężeń normalnych od bimomentu oraz naprężeń stycznych od skręcania skrępowanego i swobodnego. Oszacowano udział tych naprężeń w wytężeniu przekroju na przykładzie belki wolnopodpartej obciążonej obciążeniem ciągłym oraz siłą skupioną. Przy weryfikacji prętów odniesiono się do obowiązujących obecnie Eurokodów oraz do Normy Polskiej PN-90/B-3200. Do obliczenia momentu krytycznego przy zwichrzeniu sprężystym wykorzystano program Autodesk Algor Simulation Professional 2012.

EN

Analysis of the resistance and stability of steel beam of channel section loaded in the plane parallel to beam web, which does not pass through shear center, is presented in the paper. The consequence of this is the creation of a torsional moment that generates normal stresses due to bimoment and shear stresses as a result of St. Venant and warping torsion. In the paper, the contribution of those stresses to the global state of stress of simply supported beam is presented. Calculations were made according to Eurocodes and to the Polish Standard PN-90/B-3200. The elastic critical moment for lateral-torsional buckling was calculated with the use of Autodesk Algor Simulation Professional 2012 program.