Stability analysis of prestressed stayed steel columns with split-up crossarm systems

Pengcheng Li,Zhiqiang Li,Bin Jia,Hao Wang 국제구조공학회 2020 Steel and Composite Structures, An International J Vol.34 No.5

A Prestressed stayed steel column is an efficient and lightweight way with regard to enhancing the stability behaviour of a compression column. In the past, researchers primarily concentrated on investigating the behaviour of stayed steel columns with horizontal crossarms. However, this article focuses on prestressed stayed steel columns with split-up crossarm system, in which the crossarms are aslant and rotational symmetrically arranged. A mathematical formula calculating the optimal pretension that corresponds to the maximum critical buckling load was established according to geometric analysis based on the small deformation assumption. It was demonstrated that critical buckling mode of this stayed column is different from the one with horizontal crossarms. The governing imperfection direction that should be adopted in the nonlinear buckling analysis was determined in this work. In addition, the effects of crossarm inclination, stay diameter, and crossarm length on the stability behaviour were investigated. An influencing factor denotes the ratio of the load carrying capacity of the prestressed stayed steel column to the Euler load of the main column was also obtained.

A numerical method for buckling analysis of built-up columns with stay plates

Djafour, M.,Megnounif, A.,Kerdal, D.,Belarbi, A. Techno-Press 2007 Structural Engineering and Mechanics, An Int'l Jou Vol.26 No.4

A new numerical model based on the spline finite strip method is presented here for the analysis of buckling of built-up columns with and without end stay plates. The channels are modelled with spline finite strips while the connecting elements are represented by a 3D beam finite element, for which the stiffness matrix is modified in order to ensure complete compatibility with the strips. This numerical model has the advantage to give all possible failure modes of built-up columns for different boundary conditions. The end stay plates are also taken into account in this method. To validate the model a comparative study was carried out. First, a general procedure was chosen and adopted. For each numerical analysis, the lowest buckling loads and modes were calculated. The basic or "pure" buckling modes were identified and their critical loads were compared with solutions obtained using analytical methods and/or other numerical methods. The results showed that the proposed numerical model can be used in practice to study the elastic buckling of built-up columns. This model is considered accurate and efficient for the local buckling of short columns and global buckling for slender columns.

트러스로 보강된 단일기둥시스템의 탄성좌굴강도에 대한 연구

김경식(Kim, Kyung-Sik) 한국산학기술학회 2011 한국산학기술학회논문지 Vol.12 No.12

양단 핀지지 기둥부재의 중간 위치에 수평재를 연결하고 설치된 수평재의 양끝단과 기둥의 상하끝단을 트러 스로 연결된 트러스보강 단일기둥시스템은 보강되지 않은 경우에 비해 그 좌굴강도가 상당수준 향상될 수 있다. 수평 재가 설치된 기둥중간지점에서의 수평 및 회전 자유도에 대한 제한하여 기둥의 유효좌굴길이를 줄이는 효과를 통해 강도향상이 구현된다. 본 연구에서는 해석적 해와 탄성 및 비탄성 유한요소해석을 통해 보강된 평면내 단일기둥 시 스템의 좌굴강도를 정량적으로 산정하였고 그 결과를 비교하였다. 예제해석을 통해 보강된 단일기둥시스템은 보강되 지 않은 단순기둥에 비해 최대 8배까지 좌굴강도가 향상될 수 있음이 확인되었다. The buckling strength of a pin-ended column may be increased significantly by reinforcing it with an assemblage of cross-arm members rigidly connected to the modpoint of the column and stayed members connecting the ends of the columns and cross-arm members. The purpose of the stays and cross-arm members is to introduce restraint against translation and rotation and thereby decrease the effective buckling length of the column. In this study, buckling strengths of the reinforced columns were quantitatively evaluated from analytical solutions and elastic/inelastic finite elements analysis and the results were compared each other. It was found that the reinforcing system may increase the buckling strength up to 8 times compared to ones without reinforcing system.

Behavior of Prestressed Stayed Steel Columns Under Fire Conditions

Huanting Zhou,Venkatesh K.R. Kodur,Hebin Nie,Yuzhuo Wang,Mohannad Z. Naser 한국강구조학회 2017 International Journal of Steel Structures Vol.17 No.1

Prestressed stayed steel columns experience loss of strength and stiffness when exposed to fire conditions. This paper presents results from experimental studies on the behavior of prestressed stayed circular steel columns under fire conditions. Two full scale prestressed stayed steel columns were tested by subjecting the columns to simultaneous gravity (mechanical) loading and fire conditions. In these fire tests, the varied parameters include load level and level of prestressing. Cross sectional temperatures, axial deformations, as well as fire resistance during the fire tests were recorded and measured. The results indicate that prestressed stayed steel columns undergo various failures modes under different combinations of load and prestress ratios. Specifically, load level significantly influence the fire response of prestressed stayed steel columns with higher load level leading to higher contraction and lower fire resistance.

Structural Stability of Cable-stayed Bridges

김승준,원덕희,이기세,강영종 한국강구조학회 2015 International Journal of Steel Structures Vol.15 No.3

This paper presents an investigation of the structural stability of cable-stayed bridges based on nonlinear analysis. In general, girders and masts of cable-stayed bridges are always subjected to compressive forces due to pre-tensioned stay cables. Cablestayed bridges exhibit various geometric nonlinearities, such as the cable-sag effect, beam-column effect of girders and masts, and large displacement effect. In this study, the characteristics of the structural stability of cable-stayed bridges are investigated. Because of various geometric nonlinearities, nonlinear finite element analysis should be performed for stability analysis instead of conventional eigenvalue analysis. Furthermore, the initial shape analysis should be performed prior to live load analysis in order to consider the dead load condition rationally. A two-step analysis method, developed based on the theory of nonlinear finite element method, is presented in this study for stability analysis under live load cases. An intensive series of parametric studies is subsequently performed using three-span cable-stayed bridges. The main buckling modes are classified depending on the location of the critical members. Also, the effects of cable arrangement, girder-mast stiffness ratio, area, and the number of cables on the structural stability are extensively investigated.

사장교의 기하학적 비선형 거동의 해석적 연구

김승준(Kim Seungjun),이기세(Lee Kee Sei),김경식(Kim Kyung Sik),강영종(Kang Young Jong) 대한토목학회 2010 대한토목학회논문집 A Vol.30 No.1A

본 연구에서는 사장교의 기하학적 비선형 거동을 기하학적 비선형 유한요소 해석을 통해 분석한다. 사장교의 주탑 및 거더는 휨 모멘트 뿐만 아니라 케이블의 장력에 의해 축력이 작용한다. 즉 거더와 주탑은 보-기둥 부재와 같이 휨모멘트와 축력의 상호작용에 의한 대변위 거동을 일으킬 수 있다. 본 연구에서는 기하학적 비선형 해석을 통해 완성계 사장교의 대변위 효과 주탑 및 거더의 보-기둥 효과 그리고 케이블의 새그효과가 모두 고려된 비선형 거동을 검토하였다. 거더 및 주탑은 6자유도 프레임 요소로 모사하고 사장교 케이블은 새그효과를 효율적으로 고려하기 위해 3지유도 등가 트러스 요소를 사용하여 모사하였다. 해석은 먼저 사하중에 대한 초기 형상 해석을 통해 사하중을 고려하고 이 후 각기 다른 형태의 활하중에 대한 기하학적 비선형 해석을 수행하였다. 해석 후 각 모델의 변형형상, 각 주요 지점의 하중-변위곡선 케이블 장력의 변화등의 정량적 수치를 분석하여 고려한 활하중 형태 및 사장교 형식에 대한 주요 기하학적 비선형 거동을 규명하였다. This paper presents an investigation on the geometric nonlinear behavior of cable-stayed bridges using geometric nonlinear finite element analysis method. The girder and mast in cable-stayed bridges show the combined axial load and bending moment interaction due to horizontal and vertical forces of inclined cable. So these members are considered as beam-column member. In this study, the nonlinear finite element analysis method is used to resolve the geometric nonlinear behavior of cable-stayed bridges in consideration of beam-column effect, large displacement effect (known as P-δ effect) and cable sag effect. To analyze a cable-stayed bridge model, nonlinear 6-degree of freedom frame element and nonlinear 3-degree of free-dom equivalent truss element is used. To resolve the geometric nonlinear behavior for various live load cases, the initial shape analysis is performed for considering dead load before live load analysis. Then the geometric nonlinear analysis for each live load case is performed. The deformed shapes of each model, load-displacement curves of each point and load-tensile force curves for each cable are presented for quantitative study of geometric nonlinear behavior of cable-stayed bridges.

완성계 강사장교의 극한 거동의 해석적 연구

김승준(Kim Seungjun),임석빈(Im Seok-Been),이기세(Lee Kee-Sei),강영종(Kang Young-Jong) 대한토목학회 2012 대한토목학회논문집 A Vol.32 No.2A

논문은 비선형 해석을 통한 완성계 강사장교의 극한 거동에 대해 다룬다. 사장교는 재료적 비선형성과 함께 다양한 기하학적 비선형성을 나타내므로 극한 거동을 명확히 규명하려면 반드시 합리적인 비선형해석이 수행되어야 한다. 따라서 본 연구에서는 합리적인 극한 해석기법을 통해 활하중에 대한 강사장교의 주요한 극한거동을 규명하고자 하였다. 강사장교의 비선형 해석을 위하여 비선형 트러스 요소 및 비선형 프레임요소를 이용하였고, 강재의 재료적 비선형성을 효율적으로 고려하기 위해 개선소성힌지법을 이용하였다. 활하중에 대한 극한 거동을 합리적으 분석하기 위해 본 연구에서는 초기형상해석활하중 해석으로 이어지는 2단계 해석 기법을 통해 극한 해석을 수행하였다. 해석 모델은 총 지간장이 920.0 m 사장교를 이용하였고, 방사형 및 팬 형 사장교를 해석에 이용하였다. 극한 해석결과를 통해 얻은 하중-변위 곡선, 구조물 변형형상, 소성단면, 휨모멘트분포도 등을 분석하여 활하중에 대한 완성계 사장교의 주요한 극한 거동을 규명하였다. This paper presents an investigation on the ultimate behavior of steel cable-stayed bridges using nonlinear finite element analysis method. Cable-stayed bridges exhibit various geometric nonlinearities as well as material nonlinearities, so rational nonlinear finite element analysis should be performed for investigation of the ultimate behavior. In this study, ultimate behavior of steel cable-stayed bridges was studied using rational ultimate analysis method. Nonlinear equivalent truss element and nonlinear frame element were used for modeling the cable, girder and mast. Moreover, refined plastic hinge method was adopted for considering the material nonlinearity of steel members. In this study, the 2-step analysis method was used. Before live load analysis, initial shape analysis was performed in order to consider the dead load condition. For investigation of the ultimate behavior of steel cable-stayed bridges, analysis models which span length is 920.0 m were used. Radiation type and fan type were considered as the cable-arrangement types. With various quantitative evidences such as load-displacement curves, deformed shapes, locations of the yield point or region, bending moment distribution and so on, the ultimate behavior of steel cable-stayed bridges was investigated and described in this paper.

기하학적 특성이 강사장교의 극한 거동에 미치는 영향

김승준(Kim, Seungjun),신도형(Shin, Do Hyoung),최병호(Choi, Byung Ho),강영종(Kang, Young Jong) 대한토목학회 2012 대한토목학회논문집 A Vol.32 No.6A

본 논문은 완성계 강사장교의 기하학적 특성이 극한 거동에 미치는 영향을 분석한다. 사장교는 구조형식의 특성에 따라 매우 효율적인 구조체로 알려져 있지만, 이러한 구조 특성에 따라 구조물의 극한 거동에 영향을 미치는 다양한 비선형성과 함께 복잡한 구조거동을 보인다. 본 연구에서는 거더 및 주탑의 단면 크기, 케이블 배치 형식 및 케이블 단면적 변화에 따른 완성계 강사장교의 극한 거동에 대해 다룬다. 선행연구를 통해 도출된 극한거동에 지배적인 활하중에 대해 각 인자의 변화에 대한 매개변수연구를 수행하였다. 활하중에 대한 완성계 사장교의 합리적인 해석을 위해 초기형상해석-활하중해석을 거치는 2단계 해석법을 통해 극한 해석을 수행하였다. 해석에 고려된 사장교 모델은 총 920.0 m의 지간장을 갖는 강사장교 이고 케이블 배치각도에 따른 거동분석을 위해 방사형 사장교와 팬 형 사장교 모델을 이용하였다. 본 해석 연구를 통해 각 기하학적 특성 인자 변화에 따른 완성계 강사장교의 극한거동 변화 특성을 도출하였다. This study presents the effects of various geometric properties on the ultimate behavior of steel cable-stayed bridges. In general, cable-stayed bridges are well known as a very efficient structural system, because of those geometric characteristics, but at the same time, the structure also shows complex structural behavior including various nonlinearities which significantly affect to the ultimate behavior of the structure. In this study, the effects of various geometric properties of main members on the ultimate behavior under specific live load cases, which had been studied in previous studies, were investigated using a rational analytical method. In this parametric study, sectional dimensions of main members were considered as main geometric parameters. For the rational ultimate analysis under specific live load cases, the 2-step analysis method, which contains initial shape analysis and live load analysis, was used. As the analysis model, 920.0 m long steel cable-stayed bridges were used and two different types of cable arrangement were considered to study the effect of the cable arrangement types. Through this study, the effects of various geometric properties on the characteristics of the ultimate behavior of steel cable-stayed bridges were intensively investigated.