• Title/Summary/Keyword: Creep Deflection

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Finite Difference Analysis of Safe Load and Critical Time in a Four-Parameter Viscoelastic Column

  • Shin, Jong-Gye;Lee, Jae-Yeul
    • Journal of Hydrospace Technology
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    • v.2 no.2
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    • pp.80-87
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    • 1996
  • A creep-buckling analysis is studied for a simply-supported viscoelastic column. The fluid-type four-parameter model is employed because of its general applicability to creep materials. Using the imperfection-based incremental approach, a nonlinear load deflection equation is derived. Safe load and critical (or life) time which characterize the stability of the viscoelastic column are obtained mathematically and interpreted physically. A finite difference algorithm is applied to solve the second-order differential equation of the viscoelastic stress-strain relation. Numerical calculation has been made and discussed far a SUS316 stainless steel column.

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A Prediction of the Long-Term Deflection of RC Beams Externally Bonded with CFRP and GFRP (CFRP와 GFRP로 외부 부착된 철근콘크리트보의 장기 처짐 예측)

  • Kim, Sung-Hu;Kim, Kwang-Soo;Han, Kyoung-Bong;Song, Seul-Ki;Park, Sun-Kyu
    • Journal of the Korea Concrete Institute
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    • v.20 no.6
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    • pp.765-772
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    • 2008
  • For RC structures, long-term deformation occurs due to the inherent characteristics, which are creep and shrinkage. In terms of serviceability, it is important to limit deflection caused by the deformation to the allowable deflection. In the recent years, various repair and strengthening methods have been used to improve performance of the existing RC structures. One of the typical methods is FRP externally bonded method (EBR). Fiber reinforced polymer (FRP) has been used worldwide as repair and strengthening materials due to its superior properties. Besides, it has to offer improved strengthening performance not only under instantaneous load but sustained load. Therefore, accurate prediction method of deflection for the RC members externally bonded with FRP under sustained load is required. In this paper, three beams were fabricated. Two beams were externally strengthened with one of CFRP plate and GFRP plate respectively. Total three beams were superimposed under sustained load of 25 kN. During 470 days, deflections at midspan were obtained. Moreover, creep coefficients and shrinkage strains were calculated by using ACI-209 code and CEB-FIP code. In order to predict the deflection of the beams, EMM, AEMM, Branson's method and Mayer's method were used. Through the experiment, it was found that the specimen with CFRP plate has the most flexural capacity and Mayer's method is the most precise method to predict total long-term deflections.

Long Term Deflection of Flat Plate Affected by Construction Load (시공하중의 영향을 받는 플랫플레이트의 장기처짐)

  • Kang, Su-Min;Lee, Ji-Woong;Oh, Jea-Geun;Kim, Ook-Jong;Lee, Do-Bum;Park, Hong-Gun
    • Proceedings of the Korea Concrete Institute Conference
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    • 2006.11a
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    • pp.149-152
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    • 2006
  • Serviceability of reinforced concrete building is affected dominantly by long term deflection of slab. And in case of reinforced concrete building with flat plate slab, severe long term deflection was expected because it has no beams which have large flexural stiffness. Therefore it is important to calculate exactly long term deflection of RC flat plate structure to assure its serviceability. However, current codes couldn't calculate exactly long term deflection of RC flat plate structure because they don't consider effects of boundary condition and construction load. By the way, recently the method to calculate long term deflection of RC flat plate structure was proposed by considering these effects. In the present study, long term deflection of RC flat plate structure was analyzed by comparing this method with recent experimental results. In conclusion, long term deflection of RC flat plate structure was affected considerably by effects of boundary condition, construction load and tensile strength of concrete. And recently proposed method considers these effects reasonably but it should be modified to reflect creep effect of RC flat plate slab reasonably.

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An Experimental Study on the Behavior of RC Beams Externally Bonded with FRPs Under Sustained Loads (지속하중을 받은 FRP 외부부착 보강 철근콘크리트 보의 거동 특성에 관한 실험적 연구)

  • Shim, Jae-Joong;Oh, Kwang-Jin;Kim, Yeon-Tae;Park, Sun-Kyu
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.14 no.1
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    • pp.125-132
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    • 2010
  • In the recent construction industry, an external strengthening method using fiber reinforced polymers has been widely used. Since reinforced concrete structures strengthened with fiber reinforced polymers are always under sustained loads, influence of creep and shrinkage on the structures is inevitable. Due to the creep and shrinkage, behaviors of the structures, such as deflection, deformation, recovery capability, strength and so on are also under the influence of creep and shrinkage. Thus, in order to estimate efficacy, creep recovery and residual strength of FRP strengthened RC beams, long-term flexural experiments and static flexural experiments were carried out. As the result of the experiments, FRP strengthened RC beams were very effective in terms of deflection control. Furthermore, the strengthened beams had higher immediate deformation recovery than immediate deformation. Through the static flexural experiments, it was shown that the CFRP strengthened beam had high residual strength. It seems that the sustained loads did not affect bond and residual strength of the beams.

Suggestion of the Prediction Model for Material Properties and Creep of 60~80MPa Grade High Strength Concrete (설계기준강도 60~80MPa급 고강도콘크리트의 재료 특성 및 크리프 예측모델식 제안)

  • Moon, Hyung-Jae;Koo, Kyung-Mo;Kim, Hong-Seop;Seok, Won-Kyun;Lee, Byeong-Goo;Kim, Gyu-Yong
    • Journal of the Korea Institute of Building Construction
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    • v.18 no.6
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    • pp.517-525
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    • 2018
  • The construction of super tall building which structure is RC and must be certainly considered on column shortening estimation and construction reflected concrete creep has been increased. Regarding the Fck 60~80MPa grade high strength concrete applied in the domestic super tall building project, the mechanical properties and creep deflection according to curing conditions(Drying creep/Basic creep) were reviewed in this research. Results of compressive strength and elastic modulus under sealed curing condition were 5% higher than unsealed condition and difference of results according to the curing condition was increased over time. Autogenous and drying shrinkage tendency showed adversely in the case of high strength concrete. Additionally, creep modulus under unseal curing condition was evaluated 2~3 times higher than sealed condition. Modified model of ACI-209 based on test result was applied to estimate long period shortening of vertical members(such as Core Wall/Mega Column) exactly, it is designed to modify and suggest the optimal creep model based on various data accumulated during construction, in the future.

Time Dependent Behavior of Partially Prestressed Concrete Flexural Members (부분 프리스트레스트콘크리트 휨부재의 장기거동)

  • 김수만;이운재
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.11a
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    • pp.647-650
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    • 2003
  • Under sustained loads, the deformation of a structure gradually increase with time and eventually may be much greater than its instantaneous value, This inelastic and time-dependent deformation causes increase in deflection and curvature, redistribution of stress and internal action, In this paper, time-dependent analysis with creep and shrinkage of uncracked and cracked partially prestressed concrete flexural members is presented.

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Experimental study on long-term behaviour of CFRP strengthened RC beams under sustained load

  • Ahmed, Ehsan;Sobuz, Habibur Rahman
    • Structural Engineering and Mechanics
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    • v.40 no.1
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    • pp.105-120
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    • 2011
  • The strengthening and rehabilitation of reinforced concrete structures with externally bonded carbon fibre reinforced polymer (FRP) laminates has shown excellent performance and, as a result, this technology is rapidly replacing steel plate bonding techniques. This paper addresses this issue, and presents results deals with the influence of external bonded CFRP-reinforcement on the time-dependent behavior of reinforced concrete beams. A total of eight reinforced concrete beams with cracked and un-cracked section, with and without externally bonded CFRP laminates, were investigated for their creep and shrinkage behavior. All the beams considered in this paper were simply supported and subjected to a uniform sustained loading for the period of six months. The main parameters of this study are two types of sustained load and different degrees of strengthening scheme for both cracked and un-cracked sections of beams. Both analytical and experimental work has been carried out on strengthened beams to investigate the cracking and deflection performance. The applied sustained load was 56% and 38% of the ultimate static capacities of the un-strengthened beams for cracked and un-cracked section respectively. The analytical values based on effective modulus method (EMM) are compared to the experimental results and it is found that the analytical values are in general give conservative estimates of the experimental results. It was concluded that the attachment of CFRP composite laminates has a positive influence on the long term performance of strengthened beams.

Rapid prediction of long-term deflections in composite frames

  • Pendharkar, Umesh;Patel, K.A.;Chaudhary, Sandeep;Nagpal, A.K.
    • Steel and Composite Structures
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    • v.18 no.3
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    • pp.547-563
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    • 2015
  • Deflection in a beam of a composite frame is a serviceability design criterion. This paper presents a methodology for rapid prediction of long-term mid-span deflections of beams in composite frames subjected to service load. Neural networks have been developed to predict the inelastic mid-span deflections in beams of frames (typically for 20 years, considering cracking, and time effects, i.e., creep and shrinkage in concrete) from the elastic moments and elastic mid-span deflections (neglecting cracking, and time effects). These models can be used for frames with any number of bays and stories. The training, validating, and testing data sets for the neural networks are generated using a hybrid analytical-numerical procedure of analysis. Multilayered feed-forward networks have been developed using sigmoid function as an activation function and the back propagation-learning algorithm for training. The proposed neural networks are validated for an example frame of different number of spans and stories and the errors are shown to be small. Sensitivity studies are carried out using the developed neural networks. These studies show the influence of variations of input parameters on the output parameter. The neural networks can be used in every day design as they enable rapid prediction of inelastic mid-span deflections with reasonable accuracy for practical purposes and require computational effort which is a fraction of that required for the available methods.

Time-dependent analysis of cable trusses -Part I. Closed-form computational model

  • Kmet, S.;Tomko, M.
    • Structural Engineering and Mechanics
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    • v.38 no.2
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    • pp.157-169
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    • 2011
  • In this paper the time-dependent closed-form static solution of the suspended pre-stressed biconcave and biconvex cable trusses with unmovable, movable and elastic or viscoelastic yielding supports subjected to various types of vertical load is presented. Irvine's forms of the deflections and the cable equations are modified because the effects of the rheological behaviour needed to be incorporated in them. The concrete cable equations in the form of the explicit relations are derived and presented. From a solution of a vertical equilibrium equation for a loaded cable truss with rheological properties, the additional vertical deflection as a time-function is determined. The time-dependent closed-form model serves to determine the time-dependent response, i.e., horizontal components of cable forces and deflection of the cable truss due to applied loading at the investigated time considering effects of elastic deformations, creep strains, temperature changes and elastic supports. Results obtained by the present closed-form solution are compared with those obtained by FEM. The derived time-dependent closed-form computational model is used for a time-dependent simulation-based reliability assessment of cable trusses as is described in the second part of this paper.

Minimum Thickness Requirements of Flat Plate Considering Construction Scheme (시공 계획을 고려한 플랫 플레이트 최소 두께)

  • 강성훈;최경규;박홍근
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.10a
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    • pp.631-636
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    • 2002
  • It is common in multistory flat-plate structures that newly cast slabs are supported by a number of previously cast floors. Then the weight of newly cast slabs is imposed on shored previously cast floors as load, and this load may be large as double as dead load. Because early-age construction loads cause large immediate deflection and creep deflection with cracks, this loads influence long-term behavior of slabs. In current provision, the minimum thickness is required to satisfy serviceability But this minimum thickness based on historical precedent is determined by span length, therefore the minimum thickness of current provision can not includes properly the effect of construction scheme including the number of shored floors and construction cycle. In the present study, a minimum thickness criterion, which includes the effect of concrete strength, geometry of slabs and construction scheme, was developed from computer-based iteration using deflection calculation procedure of current code method.

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