• Structural Engineering and Mechanics
• /
• 제18권6호
• /
• pp.745-757
• /
• 2004

Lateral-torsional buckling moment resistances of I-shaped stepped beams with continuous lateral top-flange bracing under a single point load on the top flange and negative end moments were investigated. Stepped beam factors and a moment gradient correction factor suggested by Park et al. (2003, 2004) were used to develop new lateral buckling formula for beam designs. From the investigation of finite element analysis (FEA), new lateral buckling formula of beams with singly or doubly stepped member changes and with continuous lateral top-flange bracing subjected to a single point load on top flange and end moments were developed. The new design equation includes the length-to-height ratio factor to account for the increase of lateral-torsional buckling moment resistance as the increase of length-to-height ratio of stepped beams. The calculation examples for obtaining lateral-torsional buckling moment resistance using the new design equation indicate that engineers should easily determine the buckling capacity of the stepped beams.

• Steel and Composite Structures
• /
• 제9권4호
• /
• pp.367-380
• /
• 2009

This study focuses on the experimental evaluation of the flexural-torsional performance of high strength thin-walled composite members. A series of tests on composite members with various sectional aspect ratios subjected to eccentric cyclic loads were conducted. Test results show that the composite member's torsional strength could be approximated using a series of linear segments and evaluated using the superposition of the component steel and reinforced concrete responses. It is also validated from the tests that the strength deterioration of members subjected to combined loads is closely related to the aspect ratios of the sections. An interaction expression between the bending and torsion for high strength thin-walled composite members is proposed for engineering practice references.

• Advances in concrete construction
• /
• 제9권1호
• /
• pp.1-7
• /
• 2020

Retrofitting is an alteration of existing member or component of the structure. In civil engineering point of view, it is called strengthening of the old structure. Deterioration of structures may be due to aging, corrosion, failure of joints, earthquake forces, increase in service loads, etc. Such structures need urgent repair, retrofitting and strengthening to avoid collapse, cracking and loss in strength or deflection. Advanced techniques are required to be developed for the repair of structural components to replace conventional techniques. This paper focuses exclusively on torsional behaviour of Reinforced Concrete (RC) beams and retrofitted RC beams wrapped with aramid fiber. Beams were retrofitted with aramid fiber by full wrapping and in the form of 150 mm wide strips at a spacing of 100 mm, 150 mm, 200 mm respectively using epoxy resin and hardener. A total 15 numbers of RC beams of 150 mm×300 mm×1300 mm in size were cast, 3 beams are tested as control specimens, and 12 beams are tested for torsion up to the failure and then retrofitted with aramid fiber. Experimental results are validated with the help of data obtained by finite element analysis using ANSYS. The full wrapping configuration of aramid fiber regains 105% strength after retrofitting. With the increase in spacing of fabric material, torsional strength reduces to 82% with about 45% saving in material.

• Structural Engineering and Mechanics
• /
• 제60권6호
• /
• pp.1039-1061
• /
• 2016

Based on Vlasov's torsional theory of open thin-walled members and the nonlinear constitutive relations of materials, a nonlinear analysis model to predict response of open thin-walled RC members subjected to pure torsion is proposed in the current study. The variation of the circulatory torsional stiffness and warping torsional stiffness over the entire loading process and the impact of warping shear deformation on the torsion-induced rotation of the member are considered in the formulation. The torque equilibrium differential equation is then solved by Runge-Kutta method. The proposed nonlinear model is then applied to predict the behavior of five U-shaped thin-walled RC members under pure torsion. Four of them were tested in an earlier experimental study by the authors and the testing data of the fifth one were reported in an existing literature. Results show that the analytical predictions based on the proposed model agree well with the experimental data of all five specimens. This clearly shows the validity of the proposed nonlinear model analyzing behavior of U-shaped thin-walled RC members under pure torsion.

• Steel and Composite Structures
• /
• 제39권5호
• /
• pp.599-614
• /
• 2021

This study deals with the Lateral-Torsional Buckling (LTB) of a mono-symmetric tapered I-beam, in which the cross-section is varying longitudinally. To obtain the buckling moment, two concentrated bending moments should be applied at the two ends of the structure. This structure is made of Functionally Graded Material (FGM). The Young's and shear modules change linearly along the longitudinal direction of the beam. It is considered that this tapered beam is laterally restrained continuously, by using torsional springs. Furthermore, two rotational bending springs are employed at the two structural ends. To achieve the buckling moment, Ritz solution method is utilized. The response of critical buckling moment of the beam is obtained by minimizing the total potential energy relation. The lateral and torsional displacement fields of the beam are interpolated by harmonic functions. These functions satisfy the boundary conditions. Two different support conditions are considered in this study. The obtained formulation is validated by solving benchmark problems. Moreover, some numerical studies are implemented to show the accuracy, efficiency and high performance of the proposed formulation.

• International Journal of Concrete Structures and Materials
• /
• 제11권2호
• /
• pp.261-273
• /
• 2017

The control of the deformative behaviour of pre-stressed concrete roof elements for a satisfactory service performance is a main issue of their structural design. Slender light-weight wing-shaped roof elements, typical of the European heritage, are particularly sensitive to this problem. The paper presents the results of deformation measurements during storage and of both torsional-flexural and purely flexural load tests carried out on a full-scale 40.5 m long innovative wing-shaped roof element. An element-based simplified integral procedure that de-couples the evolution of the deflection profile with the progressive shortening of the beam is adopted to catch the experimental visco-elastic behaviour of the element and the predictions are compared with normative close-form solutions. A linear 3D fem model is developed to investigate the torsional-flexural behaviour of the member. A mechanical non-linear beam model is used to predict the purely flexural behaviour of the roof member in the pre- and post-cracking phases and to validate the loss prediction of the adopted procedure. Both experimental and numerical results highlight that the adopted analysis method is viable and sound for an accurate simulation of the service behaviour of precast roof elements.

• 한국강구조학회 논문집
• /
• 제16권5호통권72호
• /
• pp.529-541
• /
• 2004

콘크리트 충전 강관에 대한 기존의 연구는 단일 압축상태, 휨모멘트 상태, 편심 압축력 상태의 연구만이 행해 졌을 뿐 압축력과 비틀림이 조합된 응력 상태에 대한 연구는 거의 이루어지지 않고 있다. 따라서 본 연구에서는 압축력과 비틀림을 받는 원형 CFT 부재의 거동에 대한 특성을 살펴보고 합리적인 해석법을 연구하였다. 원형 CFT부재가 압축력과 비틀림을 받을 경우의 압축 강도와 비틀림 강도를 결정하는데 중요 요소인 구속효과와 부착 응력에 의한 스파이럴 효과를 본 모델에 고려하였다. 이를 위하여 단일 압축응력을 받을 경우 원형 강관에 의해 구속된 콘크리트 코어에 대한 연구가 선행되었다. 또한 비틀림을 받을 경우는 비틀림에 의한 크랙이 콘크리트의 표면을 따라 발생하게 된다. 크랙 발생이후 비틀림을 계속 받게 되면 크랙은 나선형태로 진전되어 콘크리트가 솟아 나오려 하나 강관과 콘크리트 사이의 부착 응력에 의해 억제 되게 된다. 이러한 이유 때문에 코어 콘크리트는 압축응력을 받게 되고 강관만 인장응력을 받게 되는데 이러한 영향 효과를 실제적으로 고려하였다. 연구 결과는 기존의 실험결과와 비교하였으며 제안된 이론은 압축력과 비틀림을 받는 원형 CFT부재의 실제 거동을 합리적으로 설명하고 있다.

• Steel and Composite Structures
• /
• 제3권4호
• /
• pp.261-275
• /
• 2003

Truss members built-up with double angles back-to-back have monosymmetric cross-section and twisting always accompanies flexion upon the onset of buckling about the axis of symmetry. Approximate formulae for calculating the buckling capacity are presented in this paper for routine design purpose. For a member susceptible only to flexural buckling, its optimal cross-section should consist of slender plate elements so as to get larger radius of gyration. But, occurrence of twisting changes the situation owing to the weakness of thin plates in resisting torsion. Criteria for limiting the leg slenderness are discussed herein. Truss web members in compression are usually considered as hinged at both ends for out-of-plane buckling. In case one (or both) end of member is not supported laterally by bracing member, its adjoining members have to provide an elastic support of adequate stiffness in order not to underdesign the member. The stiffness provided by either compression or tension chords in different cases is analyzed, and the effect of initial crookedness of compression chord is taken into account. Formulae are presented to compute the required stiffness of chord member and to determine the effective length factor for inadequately constrained compressive diagonals.

• 대한토목학회논문집
• /
• 제26권1A호
• /
• pp.99-106
• /
• 2006

일축대칭의 단면특성을 갖는 T형 부재는 단면의 특성상 축방향 압축력으로 인하여 전체좌굴이 발생할 경우 휨-비틀림 좌굴이 지배모드가 된다. 인발성형 T형 부재의 휨-비틀림 좌굴거동을 실험적 연구를 통하여 알아보았다. E-glass/vinylester와 E-glass/polyester로 만들어진 2종류의 인발성형 부재가 사용되었으며, 보강층의 배치, 보강층의 두께, 구성물질의 부피비, 역학적 성질 등을 실험적으로 규명하였다. 좌굴실험에서 휨 및 비틀림에 대한 단순지지 조건을 만족시키기 위해서 knife edge를 사용하였으며, 3개의 potentiometer를 사용하여 실험체의 횡변위와 비틀림각을 측정하였다. 모든 실험체에 휨-비틀림 좌굴이 발행하였으며, 대부분의 실험체가 후좌굴 강도를 가지고 있음을 알 수 있었다.

• Structural Engineering and Mechanics
• /
• 제2권3호
• /
• pp.269-284
• /
• 1994

The analysis and tests of thin-walled channel frames including nonlinear flexible or semi-rigid connection behaviour is presented. The semi-rigid connection behaviour is modelled using a mathematical approximation of the connection flexibility-moment relationship. Local instability such as local buckling and torsional flexural buckling of the member are included in the analysis. The full response of the frame, up to the collapse load, can be predicted. Experimental investigation was carried out on a series of simple double storey symmetrical frames with the purpose of verifying the accuracy and validity of the analysis. Agreement between the theoretical and experimental results is acceptable. The investigation also shows that connection flexibility and local instability such as local buckling and torsional flexural buckling can affect the behaviour and strength of thin-walled frames significantly. The results can also provide further insight into the advanced study of practical structures where interaction between flexible connections and phenomenon associated with thin-walled members are present.