본 연구에서는 비틀림 설계가 되지 않은 철근콘크리트 보의 비틀림 거동에 대하여, 폐쇄스터럽의 강도와 간격에 따른 거동 특성을 실험을 통하여 평가하였다. 그리고 비틀림 거동 시 폐쇄스터럽의 간격에 따른 종방향 철근의 거동특성을 분석 하였다. 실험결과 비틀림 설계가 되지 않은 철근 콘크리트 보의 경우 폐쇄스터럽의 강도는 비틀림 강도에 영향이 작은 것으로 나타났다. 그리고 비틀림 설계가 되지 않은 단면의 경우, 부재의 균열 비틀림 모멘트에 안전율을 고려하여 부재의 비틀림 강도를 간접적으로 평가할 수 있을 것으로 판단된다. 종방향 철근이 균열 억제 및 비틀림에 의한 인장력에 저항하기 위해서는 폐쇄 스터럽의 간격이 중요한 영향을 미치는 것으로 나타났다.

Experimental evaluation of torsional behavior, which is possible behavior of seismic beams of RC structures, was carried out. Concrete strength and stirrup spacing were set as experimental variables to investigate the torsional strength of RC beams. Based on the experimental results, the torsional strength of RC beams was compared and analyzed. From the experimental results, the concrete strength was caused a difference of about 30% in the torsional strength of the maximum torque of the RC beam specimen, and the stirrup spacing was found to be about 2.8 times and 5 times that of the peak torque. Therefore, this study will be an important study to understand the effect of both concrete strength and stirrup spacing for the torsional strength or torsional behavior of RC beams.

Over the years, several studies have been made for the improvement of the design criteria of stepped beams. However, studies on lateral-torsional buckling of stepped beams located at the midspan have been very limited. Hence, this study aims to evaluate the elastic lateral-torsional buckling strength of doubly symmetric singly stepped I-beam at midspan subjected to pure bending along the entire span. The I-beam measurements and specifications are in accordance with the AISC standards. For the analysis of stepped beams, the parameters α, β and γ are used. In this paper, singly stepped beams are defined as beams having an increased cross section at midspan. The unbraced length used for the simply supported stepped I-beams are 13.59m, 18.12m, and 22.65m while the parameters α, β and γ for the cross section varies from 0.167~0.333, 1.0~1.4, and 1.0~1.8, respectively. To model and perform the analysis for the I-beams, a universal finite element analysis program, ABAQUS, will be used. S4R elements will be used to model the simply supported beams and to check the accuracy of the models guide design specifications are used. The results from the finite element analysis will be shown in tables and plotted into graphs. Based from the obtained results, conclusions and new design guidelines are proposed.

이 연구는 상하단 철근의 영향에 따른 철근콘크리트 보의 비틀림 강도를 평가하고자 단면의 상하단 철근의 R값을 변수로 비틀림 실험을 수행하였다. 실험체는 선행연구와 동일한 캔틸레버 형태로 총 2체를 제작하였으며, 1000kN의 액추에이터 2대 를 이용하여 가력을 실시하였다. 실험결과, 상하단 철근의 영향에 따라 비틀림 내력의 차이를 확인하였다.

In this study, the torsional strength of reinforced concrete hollow beams is predicted by nonlinear finite element analysis. A nonlinear finite element analysis program, ATENA, was used for the analysis. A total of six reinforced concrete beams were used and the analysis was performed under the same conditions as the actual test.

Recently, as the level of market competition in the structural engineering field continues to rise, structural designers are finding other ways to make their designs stand out. One way of doing that is to make the designs more economical without sacrificing efficiency. As a result, the use of stepped beams and the studies involving it has become more common. Stepped beams are beams that have a sudden increase in cross section along its length. The change in cross section is made by increasing the width and/or the thickness of the flanges along a certain length while maintaining the dimensions of the web. Most of the studies involving lateral torsional buckling of stepped beams are focused on developing equations and studying the effects of symmetry. However, the studies involving actual test experiments are still very limited. Thus, this study has three main objectives. The first objective of this study is to give a brief historical overview on the series of studies involving the lateral torsional buckling capacity of stepped beams and give an idea on its current state of the art. The second objective is to determine if the intuitive expectation that the lowest critical moment always corresponds to uniform bending moment holds true for stepped beams. The degree of symmetry is varied and several loading conditions are observed. The third objective of this study is to determine the actual inelastic lateral torsional buckling capacity of doubly stepped singly symmetric I-beams having compact and non-compact flange sections subjected to two point loading condition and to use the results obtained to determine the applicability of previously proposed equations in predicting the buckling strength of stepped beams. The results are obtained by conducting actual destructive tests on doubly stepped I-beams using a universal testing machine and running simulation tests using the finite element program, ABAQUS. The main factors that are considered for the experimental and finite element analysis are the degree of beam symmetry, the loading condition, the supports, the stepped beam factors and the unsupported length. The degree of symmetry of all the stepped beams analyzed is fixed at 0.7. The unsupported lengths of the beams analyzed are 3 meters and 4 meters. The results obtained from the analysis are compared with the results from design specifications to determine the effects of steps and from proposed design equations to determine the equations’ applicability and safety. Finally, the results revealed that the stepped beams did have an increase in lateral torsional buckling capacity in comparison with the prismatic beams and that the proposed equations are suitable to be used in predicting the strength of stepped beams having compact flanges under the observed loading condition. However, for beams having non-compact flanges, the previously proposed equations produced over conservative results. Further study can also be made on stepped beams with varying degree of symmetries, loading conditions, boundary conditions and stepped beam parameters.

This study focuses on the effects of load height on the inelastic lateral buckling of doubly stepped I-beams. The effects of having compact and non-compact flanges are also covered by this study. Two sections are analyzed: one having compact flanges and web while the other section has a compact web and non-compact flanges. The loadings are limited to those having an inflection point of zero. Also, the three main locations for the loads analyzed would be at the top of the flange, at the shear and at the bottom flange. The nonlinear analysis is done using the finite element program, ABAQUS. Also, to take into consideration the effect of inelastic buckling, residual stresses and geometric imperfections are applied to the models made. The results of the analysis would then determine if the location of the loads has significant effects on the buckling strength of the stepped beams. Also, the results are compared to the results of previous studies involving the effects of load-height on prismatic beams. The final results are tabulated and conclusions and new design methods are provided.

Several studies concerning the lateral torsional buckling of horizontally curved I-beams have been made by different researchers. However, these studies are mostly limited to linear analysis and involving only single girders having single span. Nonlinear analysis of horizontally curved I-beams have been very limited or almost none. The aims of this study are to give a brief summary of the studies that have been made involving several factors concerning the lateral torsional buckling capacity of horizontally curved I-beams and to show several analyses that focused on determining the behavior of the horizontally curved I-beams that experience lateral torsional buckling failure. Subjects discussed in this study include: (1) different design provisions involving LTB of curved I-beams; (2) different equations that can be used concerning LTB of curved I-beams; (3) effect of cross frames; (4) effects of cross frame spacing; and (5) analysis results and trends comparing LTB strength of curved I-beams to straight beams. The summary of these studies will be essential in determining the future studies that has to be made involving the lateral torsional buckling of horizontally curved I-girder bridges which should cover single girder and multi girder systems as well as single span and multi span curved bridge systems.

It has been proven in recent studies that for monosymmetric I-section beams, in considering bending moment diagrams caused by any combination of applied end moments and transverse loads acting at the shear centre, the lowest critical lateral torsional buckling moment does not necessarily correspond to uniform bending. This finding is different from the intuitive expectation that researchers have that for lateral torsional buckling of thin walled beams, the lowest critical lateral torsional buckling moment always corresponds to a uniform bending moment diagram. To determine the applicability of the findings stated, considering stepped beams, this study will be focusing on the comparison of the lateral torsional buckling strength trends in monosymmetric I-beams having doubly stepped and compact cross section. Several loading conditions will be applied to see the effect of different moment diagrams having different inflection points on the lateral torsional buckling strength of stepped beams. The study will be made using the finite element program, ABAQUS. The study will investigate stepped beams having monosymmetric ratios ranging from 0.5 to 0.9. These ratios correspond to varying bottom flange width while keeping the top flange width unchanged. Both elastic and inelastic analysis will be carried out for this study. Finally, the findings for this study will be shown using illustrative figures and conclusions will be made.

본 연구에서는 비탄성 영역 내 비지지 길이가 존재하고 양단 및 일단 계단식 단면을 가지는 일축대칭 변단면 I형보의 해석적·이론적 연구를 토대로 하여 비탄성 횡-비틀림 좌굴 강도 해석을 실시하였다. 하중조건으로는 비지지 길이 내 모멘트가 0인 지점이 개수에 따라 모델을 구분지어 적용시켰으며, 플랜지 길이방향 비, 너비 방향 비, 두께의 비로 변단면 I형보를 나타내었다. 비선형 횡-비틀림 좌굴 해석을 위해 단순직선분포를 잔류응력으로 가정하였으며, 국내 I형강 표준 치수 허용치에 근거하여 부재 길이의 0.1%를 초기 최대 횡변위로 적용하여 초기변형으로 고려하였다. 유한요소해석에 사용된 프로그램은 ABAQUS(2009)이며, 회귀분석프로그램인 MINITAB(2006)을 이용해 간편한 설계식을 제안하고 있다. 본 연구 결과에서 개발·제안된 식은 향후 비탄성 횡-비틀림 좌굴 강도에 대한 연구에 많은 도움이 될 것이다.