• Title/Summary/Keyword: 이론처짐

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Calculation of Deflection Using the Acceleration Data for Concrete Bridges (가속도 계측 자료를 이용한 콘크리트 교량의 처짐 산정)

  • Yun, Young Koun;Ryu, Hee Joong
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.15 no.5
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    • pp.92-100
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    • 2011
  • This paper describes a numerical modeling for deflection calculation using the natural frequency response that is measured acceleration response for concrete bridges. In the formulation of the dynamic deflection, the change amounts and the transformed responses about six kinds of free vibration responses are defined totally. The predicted response can be obtained from the measured acceleration data without requiring the knowledge of the initial velocity and displacement information. The relationship between the predicted response and the actual deflection is derived using the mathematical modeling that is induced by the process of a acceleration test data. In this study, in order to apply the proposed response predicted model to the integration scheme of the natural frequency domain, the Fourier Fast Transform of the deflection response is separated into the frequency component of the measured data. The feasibility for field application of the proposed calculation method is tested by the mode superposition method using the PSC-I bridges superstructures under several cases of moving load and results are compared with the actually measured deflections using transducers. It has been observed that the proposed method can asses the deflection responses successfully when the measured acceleration signals include the vehicle loading state and the free vibration behavior.

Postbuckling Analysis of Thin Plates under Impact Loading (충격하중을 받는 박판의 후좌굴 해석)

  • Kim, Hyeong-Yeol;Park, Sun-Kyu
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.6 no.3
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    • pp.139-149
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    • 2002
  • An explicit direct time integration method based solution algorithm is proposed to predict dynamic postbuckling response of thin plates. Based on the von Karman's plate equations and Marquerre's shallow shell theory, a rectangular plate finite element is formulated and utilized in this study. The element formulation takes into account geometrical nonlinearity and initial deflection of plates. The solution algorithm employs the central difference method. Using the computer program developed by the authors, dynamic postbuckling behavior of elastic thin plates under impact loading is investigated by considering the time variation of load and load duration. The efficiency of the proposed solution algorithm is examined through illustrative numerical examples.

Evaluation of Reinforcing Performance of Window Protection Device Against Strong Wind (강풍에 대비한 창호보호장치의 보강성능 평가)

  • Park, Won Bin;Kim, Hong Jin
    • Journal of the wind engineering institute of Korea
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    • v.22 no.4
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    • pp.155-161
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    • 2018
  • In modern society, damage caused by strong winds such as typhoons is expected to increase due to urbanization and global warming. In order to test the reinforcement performance of the newly developed window protection device, two-point force test and uniformly distributed load test were carried out on non-reinforced plate glass. It reinforcement performance of the window protection device was evaluated based on the flexural performance improvement. The analytical performance of the window protection device was evaluated by analysis using differential equations of elastic loading method and deflection curve and Midas-Gen. First, the analytical window protection device was evaluated by formulae derived using differential equations of elastic loading and deflection curve. The validity of the derived formulae investigated by comparing the maximum deflection of the central part of the plate with the experimental value and the theoretical value at maximum load. Then the results were compared with those by finite element FE method using Midas-Gen. Under the experimental conditions, with the window protection device, stress reduction effect up to 40% and deflection reduction up to 71.4% under the same load were obtained. It was also found that it is advantageous to perform the FE analysis using the plate element when the performance is evaluated because the error of FE analysis result using plate elements is far less than that using beam elements.

복합재료의 탄성학 소개

  • 황운봉
    • Journal of the KSME
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    • v.29 no.3
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    • pp.231-243
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    • 1989
  • 복합재료의 탄성 문제를 정리하면 다음과 같다. 복합재료와 등방성 재료의 탄성학적 차이는 재료의 탄성계수에 기인하며 이것은 각각 다른 형태의 응력-변형률관계를 갖게 한다. 한편 응 력-변형률 관계식을 제외한 탄성학의 지배방정식은 재료의 종류에 관계없이 성립한다. 복합적 층판의 Stiffness와 응력 등은 Lamination 이론을 사용하여 구할 수 있다. 판이론은 평형식을 z방향으로 적분한 식, 즉 합력(resultant force)와 모멘트로 나타낸 평형식을 사용하는데 이 때 처짐 방정식을 구하기 위해 합력. 모멘트-곡률. 변형률 관계식을 이용하는데 이 관계식이 복합 재료와 등방성재료가 상이하다. 결과로 복합재료는 커플링 효과를 갖게 되며, 복합적층판을 대 칭으로 쌓으면 이 효과를 상쇄시킬 수 있다. 복합적층 보의 이론은 유효 굽힘 계수를 도입하면 등방체 보 이론을 사용하여 보의 처짐을 해석할 수 있다. 복합적층 보의 경우 굽힘 응력의 최 대치는 등방체와는 달리 보의 표면에서만 일어나지 않고 내부에서도 일어날 수 있다.

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Flexural Strength and Deflection Evaluation for FRP Bar Reinforced HSC Beams with Different Types of Reinforcing Bar and Fiber (이질 보강근 및 섬유와 함께 보강된 FRP 보강근 보강 고강도 콘크리트 보의 휨 강도 및 처짐 평가)

  • Yang, Jun-Mo;Yoo, Doo-Yeol;Shin, Hyun-Oh;Yoon, Young-Soo
    • Journal of the Korea Concrete Institute
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    • v.23 no.4
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    • pp.413-420
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    • 2011
  • The test results of high-strength concrete beam specimens, which have various combinations of different types of flexural reinforcement and short fibers, were compared with the prediction results of codes, guidelines and models proposed by researchers. The theoretical calculation based on the ultimate strength method of the KCI and ACI Code underestimated the ultimate moments of FRP bar-reinforced beams without fibers. The models proposed by ACI 544.4R and Campione predicted the ultimate moment capacities inaccurately for the FRP bar-reinforced beam with steel fibers, because these models do not consider the increased ultimate compressive strain of fiber reinforced concrete. Bischoff's deflection model predicted the service load deflections reasonably well, while the deflection model of ACI Committee 440 underestimated the deflection of FRP bar-reinforced beams. Because the ACI 440 expression, used to predict member deflection, cannot directly apply to the beams reinforced with different types of reinforcing bars, an alternative method to estimate the deflections of beams with different types of reinforcing bars using the ACI 440 expression was proposed. In addition, Bischoff's approach for computing deflection was extended to include deflection after yielding of the steel reinforcement in the beams reinforced with steel and FRP bars simultaneously.

Theoretical Evaluation of the Post Tensioning Effect in Continuous Slabs (연속 슬래브의 포스트 텐셔닝 보강에 대한 이론적 분석)

  • Kim, Chang-Hyuk;Kim, Kang-Su;Kim, Sang-Sik
    • Journal of the Korea Concrete Institute
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    • v.21 no.1
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    • pp.105-116
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    • 2009
  • Reinforced concrete (RC) structures have been most widely used because of their good economic efficiency. However, it is very weak in tensile stresses and difficult to control deflection due to the heavy self-weight of concrete. On the other hand, it is generally known that prestressed concrete structures can be the most effective to overcome the demerits of RC structures by using various tendon lay-out and its amount. In the prestressed concrete members, the inflection points of tendons should be placed effectively for the deflection control and the moment reduction. Therefore, in this study, the equations of tendon profiles are derived in terms of polynomials that satisfy essential conditions of tendon geometries such as inflection points and natural curved shapes of tendons placed in continuous members, from which vertical components of prestressing forces can be also calculated. The derived high order polynomial expression for the distributed shape of the upward and downward forces was transformed to an simplified equivalent uniform vertical force in order to improve the applicability in the calculation of member deflection. The influences of vertical forces by tendons to deflection and moment in a continuous slab were also considered depending on the distance from column face to the location of tendons. The applicability of the proposed method was examined by an example of deflection calculation for the cases of slabs with and without tendons, and the efficiency of deflection control by tendons was also quantitatively estimated.

Evaluation of Flexible Pavement Layer Moduli Using the Depth Deflectometer and Flexible Pavement Behavior under Various Vehicle Speeds (아스팔트 콘크리트 포장구조체의 내부처짐에 의한 물성추정과 주행속도에 따른 거동분석)

  • Choi, Jun-Seong;Kin, Soo-Il;Yoo, Ji-hyung
    • International Journal of Highway Engineering
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    • v.2 no.1
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    • pp.135-145
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    • 2000
  • A new procedure needs to be developed to predict the dynamic layer properties under moving truck loads. In this study, a computer code to evaluate layer moduli of asphalt concrete pavement from measured interior deflections at various depths were developed and verified from numerical model tests. Interior deflections of the pavement are measured from Multi-Depth Deflectometer(MDD). It was found that errors between the given and backcalculated moduli in numerical analysis were less than 0.32% for several numerical models tested. When impact loads were used, a technique to determine the depth to virtual rigid base was proposed through the analysis of compressive wave velocity and impulse loading durations. It was found that errors between the given and backcalculated moduli in numerical analysis were less than 0.114% when virtual rigid base was considered in numerical analysis. The pavement behavior must be evaluated under various vehicle speeds when determining the dynamic interaction between the loading vehicle and pavement system. To evaluate the dynamic behavior on asphalt concrete pavement under various vehicle speeds, truck moving tests were carried out. From the test results with respect to vehicle speed, it was found that the vehicle speed had significant effect on actual response of the pavement system. The lower vehicle speed generates the higher interior deflections, and the lower dynamic modulus.

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Flexural Behavior of Concrete Beams Reinforced with GFRP Bars (GFRP 보강근을 사용한 콘크리트 보의 휨파괴 거동)

  • Eo, Seok-Hong;Ha, Sang-Hoon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.8
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    • pp.5318-5326
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    • 2014
  • This paper presents the results of flexural test of concrete beams reinforced with GFRP and conventional steel reinforcement for comparison. The beams were tested under a static load to examine the effects of the reinforcement ratio and compressive strength of concrete on cracking, deflection, ultimate capacity, and modes of failure. The test results showed that the ultimate capacity of the GFRP-reinforced beams increased with increasing reinforcement ratio and concrete strength, showing a 41.3~51.6% increase compared to steel reinforced beams. The deflections at maximum loads of the GFRP reinforced beams were 4.1~6.3 times higher that of steel reinforced beams. The measured deflections of GFRP reinforced beams decreased approximately 31% compared to the theoretical predictions because the theoretical flexural stiffness was underestimated at the maximum loads. For the GFRP-reinforced beams, the ACI code 440 design method resulted in conservative flexural strength estimates.

A Study on Evaluation of Layer Moduli and Stresses in Cement Concrete Pavement System (시멘트콘크리트 포장구조계의 층별물성 및 응력추정에 관한 연구)

  • Lee, Seong Won;Kim, Moon Kyum;Kim, Soo Il;Hwang, Hak Joo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.10 no.1
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    • pp.47-56
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    • 1990
  • An inverse self-iterative procedure is developed to estimate layer moduli and stresses in cement concrete pavement systems from the falling weight deflectometer deflection basins. The existing concrete pavement highways are analyzed using coupled analysis procedure of finite element and layer elastic theory for models obtained through factorial design, from which the characteristics of deflection basins are studied and the empirical equations are proposed for the estimation of layer moduli. The empirical equations are used to assume initial moduli, and the relations between the rate of change of moduli and deflections are used in the self-iterative procedure to ensure accuracy of moduli. The developed computer program of this procedure is verified through various numerical model tests.

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