• 제목/요약/키워드: static cyclic loading

검색결과 248건 처리시간 0.025초

Analysis of shear lag effect in the negative moment region of steel-concrete composite beams under fatigue load

  • Zhang, Jinquan;Han, Bing;Xie, Huibing;Yan, Wutong;Li, Wangwang;Yu, Jiaping
    • Steel and Composite Structures
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    • 제39권4호
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    • pp.435-451
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    • 2021
  • Shear lag effect was a significant mechanical behavior of steel-concrete composite beams, and the effective flange width was needed to consider this effect. However, the effective flange width is mostly determined by static load test. The cyclic vehicle loading cases, which is more practical, was not well considered. This paper focuses on the study of shear lag effect of the concrete slab in the negative moment region under fatigue cyclic load. Two specimens of two-span steel-concrete composite beams were tested under fatigue load and static load respectively to compare the differences in the negative moment region. The reinforcement strain in the negative moment region was measured and the stress was also analyzed under different loads. Based on the OpenSees framework, finite element analysis model of steel-concrete composite beam is established, which is used to simulate transverse reinforcement stress distribution as well as the variation trends under fatigue cycles. With the established model, effects of fatigue stress amplitude, flange width to span ratio, concrete slab thickness and shear connector stiffness on the shear lag effect of concrete slab in negative moment area are analyzed, and the effective flange width ratio of concrete slab under different working conditions is calculated. The simulated results of effective flange width are compared with calculated results of the commonly used specifications, and it is found that the methods in the specifications can better estimate the shear lag effect in concrete slab under static load, but the effective flange width in the negative moment zone under fatigue load has a large deviation.

Effects of reinforcement on two-dimensional soil arching development under localized surface loading

  • Geye Li;Chao Xu;Panpan Shen;Jie Han;Xingya Zhang
    • Geomechanics and Engineering
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    • 제37권4호
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    • pp.341-358
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    • 2024
  • This paper reports several plane-strain trapdoor tests conducted to investigate the effects of reinforcement on soil arching development under localized surface loading with a loading plate width three times the trapdoor width. An analogical soil composed of aluminum rods with three different diameters was used as the backfill and Kraft paper with two different stiffness values was used as the reinforcement material. Four reinforcement arrangements were investigated: (1) no reinforcement, (2) one low stiffness reinforcement R1, (3) one high stiffness reinforcement R2, and (4) two low stiffness reinforcements R1 with a backfill layer in between. The stiffness of R2 was approximately twice that of R1; therefore, two R1 had approximately the same total stiffness as one R2. Test results indicate that the use of reinforcement minimized soil arching degradation under localized surface loading. Soil arching with reinforcement degraded more at unloading stages as compared to that at loading stages. The use of stiffer reinforcement had the advantages of more effectively minimizing soil arching degradation. As compared to one high stiffness reinforcement layer, two low stiffness reinforcement layers with a backfill layer of certain thickness in between promoted soil arching under localized surface loading. Due to different states of soil arching development with and without reinforcement, an analytical multi-stage soil arching model available in the literature was selected in this study to calculate the average vertical pressures acting on the trapdoor or on the deflected reinforcement section under both the backfill self-weight and localized surface loading.

Effect of loading velocity on the seismic behavior of RC joints

  • Wang, Licheng;Fan, Guoxi;Song, Yupu
    • Earthquakes and Structures
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    • 제8권3호
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    • pp.665-679
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    • 2015
  • The strain rate of reinforced concrete (RC) structures stimulated by earthquake action has been generally recognized as in the range from $10^{-4}/s$ to $10^{-1}/s$. Because both concrete and steel reinforcement are rate-sensitive materials, the RC beam-column joints are bound to behave differently under different strain rates. This paper describes an investigation of seismic behavior of RC beam-column joints which are subjected to large cyclic displacements on the beam ends with three loading velocities, i.e., 0.4 mm/s, 4 mm/s and 40 mm/s respectively. The levels of strain rate on the joint core region are correspondingly estimated to be $10^{-5}/s$, $10^{-4}/s$, and $10^{-2}/s$. It is aimed to better understand the effect of strain rates on seismic behavior of beam-column joints, such as the carrying capacity and failure modes as well as the energy dissipation. From the experiments, it is observed that with the increase of loading velocity or strain rate, damage in the joint core region decreases but damage in the plastic hinge regions of adjacent beams increases. The energy absorbed in the hysteresis loops under higher loading velocity is larger than that under quasi-static loading. It is also found that the yielding load of the joint is almost independent of the loading velocity, and there is a marginal increase of the ultimate carrying capacity when the loading velocity is increased for the ranges studied in this work. However, under higher loading velocity the residual carrying capacity after peak load drops more rapidly. Additionally, the axial compression ratio has little effect on the shear carrying capacity of the beam-column joints, but with the increase of loading velocity, the crack width of concrete in the joint zone becomes narrower. The shear carrying capacity of the joint at higher loading velocity is higher than that calculated with the quasi-static method proposed by the design code. When the dynamic strengths of materials, i.e., concrete and reinforcement, are directly substituted into the design model of current code, it tends to be insufficiently safe.

Seismic behavior of steel reinforced concrete (SRC) joints with new-type section steel under cyclic loading

  • Wang, Qiuwei;Shi, Qingxuan;Tian, Hehe
    • Steel and Composite Structures
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    • 제19권6호
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    • pp.1561-1580
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    • 2015
  • No significant improvement has been observed on the seismic performance of the ordinary steel reinforced concrete (SRC) columns compared with the reinforced concrete (RC) columns mainly because I, H or core cross-shaped steel cannot provide sufficient confinement for core concrete. Two improved SRC columns by constructing with new-type section steel were put forward on this background: a cross-shaped steel whose flanges are in contact with concrete cover by extending the geometry of webs, and a rotated cross-shaped steel whose webs coincide with diagonal line of the column's section. The advantages of new-type SRC columns have been proved theoretically and experimentally, while construction measures and seismic behavior remain unclear when the new-type columns are joined onto SRC beams. Seismic behavior of SRC joints with new-type section steel were experimentally investigated by testing 5 specimens subjected to low reversed cyclic loading, mainly including the failure patterns, hysteretic loops, skeleton curves, energy dissipation capacity, strength and stiffness degradation and ductility. Effects of steel shape, load angel and construction measures on seismic behavior of joints were also analyzed. The test results indicate that the new-type joints display shear failure pattern under seismic loading, and steel and concrete of core region could bear larger load and tend to be stable although the specimens are close to failure. The hysteretic curves of new-type joints are plumper whose equivalent viscous damping coefficients and ductility factors are over 0.38 and 3.2 respectively, and this illustrates the energy dissipation capacity and deformation ability of new-type SRC joints are better than that of ordinary ones with shear failure. Bearing capacity and ductility of new-type joints are superior when the diagonal cross-shaped steel is contained and beams are orthogonal to columns, and the two construction measures proposed have little effect on the seismic behavior of joints.

응력연화거동을 고려한 고무 재료의 변형률 에너지 함수 결정 (Determination of Strain Energy Function of Rubber Materials Considering Stress Softening Behavior)

  • 김완수;홍성인
    • Elastomers and Composites
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    • 제42권3호
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    • pp.168-176
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    • 2007
  • 카본블랙이나 실리카 등으로 보강된 고무 가황체는 순수한 초기상태에서 하중(부하)를 가하고 제거하는 반복과정에서 응력은 점점 연화되어 초기상태에서 얻어진 응력보다 작게 나타난다. 이러한 응력 연화 현상을 Mullins 효과라고 부른다. 이러한 응력 연화 거동을 이론적으로 표현하기 위하여 Ogden-Roxburgh 등이 손상 파라미터를 이용하여 제안한 pseudo-elastic 개념을 적용하여 보강제가 함유된 고무 가황체의 변형률 에너지 함수를 구하였다. 카본블랙으로 보강된 NR 가황체를 이용하여 준정적 반복 부하 시험을 실시하였으며, pseudo-elastic 모델에서의 손상 파라미터가 제하 및 재 부하 시 응력-변형률 곡선에 어떠한 영향을 주는가와 더불어 손상 파라미터의 두 가지 변수인 r과 m의 물리적 의미를 파악하였다. 또한 보강제 함량을 달리하여 제작한 고무 가황체의 응력연화 변형률 에너지 함수를 결정하고 비교하였다.

Fatigue behavior of hybrid GFRP-concrete bridge decks under sagging moment

  • Xin, Haohui;Liu, Yuqing;He, Jun;Fan, Haifeng;Zhang, Youyou
    • Steel and Composite Structures
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    • 제18권4호
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    • pp.925-946
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    • 2015
  • This paper presents a new cost-effective hybrid GFRP-Concrete deck system that the GFRP panel serves as both tensile reinforcement and stay-in-place form. In order to understand the fatigue behavior of such hybrid deck, fatigue test on a full-scale specimen under sagging moment was conducted, and a series of static tests were also carried out after certain repeated loading cycles. The fatigue test results indicated that such hybrid deck has a good fatigue performance even after 3.1 million repeated loading cycles. A three-dimensional finite element model of the hybrid deck was established based on experimental work. The results from finite element analyses are in good agreement with those from the tests. In addition, flexural fatigue analysis considering the reduction in flexural stiffness and modulus under cyclic loading was carried out. The predicted flexural strength agreed well with the analytical strength from finite element simulation, and the calculated fatigue failure cycle was consistent with the result based on related S-N curve and finite element analyses. However, the flexural fatigue analytical results tended to be conservative compared to the tested results in safety side. The presented overall investigation may provide reference for the design and construction of such hybrid deck system.

다양한 실내시험을 이용한 지반의 탄성계수 평가 (Evaluation of Modulus of Soils Using Various Laboratory Tests)

  • 권기철;김동수
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2000년도 가을 학술발표회 논문집
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    • pp.345-352
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    • 2000
  • It is very important to evaluate the reliable nonlinear modulus characteristics of soils not only in the analysis of geotechnical structures under working stress conditions but also for the soil dynamic problems. For the evaluation of modulus characteristics of soils, various tests have been mostly employed in laboratory. However, different testing techniques are likely to have different ranges of reliable strain measurements, different applied stress level, and different loading frequencies, and the modulus of soils can be affected by these variables. For reliable evaluation, therefore, those effects on the modulus need to be considered, and measured values should be effectively adjusted to actual conditions where the soil is working. In this paper, to evaluate the modulus characteristics of soils, laboratory testing such as free-free resonant column (FF-RC), resonant column (RC), torsional shear (TS), static TX, and cyclic M/sub R/ tests were performed. The effects of strain amplitude, loading frequency, loading cycles, confining pressure, density, and water content on modulus were investigated. It is shown that the FF-RC test, which is simple and inexpensive testing technique, can provide a reliable estimation of small strain Young's modulus (E/sub max/), and the modulus evaluated by various laboratory tests are comparable to each other fairly well when the effects of these factors are properly taken into account.

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해양 실트질 모래의 비배수 동적 거동에 대한 평균 및 반복전단응력의 영향 (Effect of Average and Cyclic Shear Stress on Undrained Cyclic Behavior of Marine Silty Sand)

  • 무하마드 사프다르;손수원;김진만
    • 한국지반공학회논문집
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    • 제30권1호
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    • pp.17-25
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    • 2014
  • 해상풍력발전기의 기초는 바람, 조류, 그리고 파도 하중을 받기 때문에 해상풍력발전기 기초를 설계하는 데 있어 반복하중을 받는 기초지반의 전단거동 평가가 필요하다. 지반의 비배수 동적 전단거동은 반복하중 횟수, 수직 유효응력, 반복 전단변형률, 상대 밀도, 그리고 평균 및 반복전단응력의 조합에 영향을 받는다. 본 연구에서는 해양 실트질 모래의 비배수 동적 거동에 대한 평균 및 반복전단응력의 영향을 평가하기 위하여 반복단순전단시험(CDSS)을 수행하였으며 상대밀도 85%, 수직 유효응력 200kPa과 300kPa의 시험조건에서 15%의 이중진폭 동적전단변형률(${\gamma}_{cyc}$)과 영구전단변형률(${\gamma}_p$)를 파괴 기준으로 적용하였다. 시험결과는 설계 그래프와 등고선도로 나타내었다. 결과에 따르면 해양 실트질 모래의 비배수 동적 거동은 평균 및 반복전단응력과 두가지 전단응력의 조합에 의해 크게 변하는 경향을 보였다. 평균전단응력이 존재하는 경우에는 반복전단변형보다는 영구변형에 의해 파괴가 결정되는 것으로 나타났다.

천호산 석회암의 반복하중에 의한 피로파괴거동에 관한 연구 (A Study on the Fatigue Failure Behavior of Cheon-Ho Mt. Limestone Under Cyclic Loading)

  • Lee, Jong-Uk;Rhee, Chan-Goo;Kim, Il-Jung;Kim, Yeong-Seok
    • Nuclear Engineering and Technology
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    • 제24권1호
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    • pp.98-109
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    • 1992
  • 본 연구에서는 천호산석회암에 대한 피로파괴 거동을 조사하기 위해“일축압축 반복시험”을 수행하였고, 반복 하중하에서는 하중속도를 760kg/$\textrm{cm}^2$/sec로 적용하여 일정하게 유지시켰다. 또한 암종에 따른 피로거동을 규명하기 위해 Indiana 석회암과 성주사암에 대한 기존의 연구결과와 비교 검토하였다. 피로현상은 파괴에 이르는데 요하는 반복횟수(N)와 최대적용응력(S)과의 관계를 S-N 곡선으로 나타낸다. 암종에 따른 S-N곡선을 비교하기 위해 $10^4$반복횟수까지 식으로 나타내었고, 이 때의 천호산석회암과 성주사암시편의 상관계수(R)는 각각 0.886, 0.983 이다. 3가지 암석시편 모두가 응력 수준이 높을수록 피로수명이 짧은 점을 알 수 있었다 암종별 피로수명은 천호산석회암, Indiana 석회암과 성주사암의 경우에 있어서 각각 응력수준 81.5% 이상, 70% 이상 74.8% 이상에 해당한다고 볼 수 있다. $10^4$회 반복에서도 파괴되지 않은 시편들에 대해 정하중강도를 측정하여 원래의 정하중강도와 비교한 결과, 강도증가율은 천호산석회 암이 약 6.18%, Indiana 석회암의 경우는 10.96% 정도이다. 반복횟수에 따른 포아송비와 체적변형률의 변화를 조사하기 위해 천호산 석회암과 성주사암을 비교한 결과, 두 경우 모두 응력수준이 높을수록 급증하는 경향을 나타내며, 파괴직전부터 급격한 증가추세를 보였다 또한 각 응력수준에 저한 포아송비와 체적변형률에 있어서 1회 반복시와 파괴직전의 반복시를 비교 검토하였다.

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Seismic behavior of reinforced concrete exterior beam-column joints strengthened by ferrocement composites

  • Li, Bo;Lam, Eddie Siu-shu;Wu, Bo;Wang, Ya-yong
    • Earthquakes and Structures
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    • 제9권1호
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    • pp.233-256
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    • 2015
  • This paper presents an experimental study to assess the effectiveness of using ferrocement to strengthen deficient beam-column joints. Ferrocement is proposed to protect the joint region through replacing concrete cover. Six exterior beam-column joints, including two control specimens and four strengthened specimens, are prepared and tested under constant axial load and quasi-static cyclic loading. Two levels of axial load on column (0.2fc'Ag and 0.4fc'Ag) and two types of skeletal reinforcements in ferrocement (grid reinforcements and diagonal reinforcements) are considered as test variables. Experimental results have indicated that ferrocement as a composite material can enhance the seismic performance of deficient beam-column joints in terms of peak horizontal load, energy dissipation, stiffness and joint shear strength. Shear distortions within the joints are significantly reduced for the strengthened specimens. High axial load (0.4fc'Ag) has a detrimental effect on peak horizontal load for both control and ferrocement-strengthened specimens. Specimens strengthened by ferrocement with two types of skeletal reinforcements perform similarly. Finally, a method is proposed to predict shear strength of beam-column joints strengthened by ferrocement.