• Title/Summary/Keyword: 상계치 이론

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Numerical Modelling on the Strength of Reinforced Concrete Simple-Continuous Deep Beams with Openings by an Upper-Bound Theorem (상계치 이론을 이용한 개구부를 갖는 철근콘크리트 단순·연속 깊은 보 내력의 수치해석 모델)

  • Yang, Keun-Hyeok;Eun, Hee-Chang;Chung, Heon-Soo
    • Journal of the Korea Concrete Institute
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    • v.18 no.4 s.94
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    • pp.469-477
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    • 2006
  • Models to predict the ultimate strength of simply supported or continuous deep beams with web openings are proposed. The derived equations are based on upper-bound theorem. The concrete is assumed as a perfectly plastic material obeying the modified Coulomb failure criteria with zero tension cutoff. Reinforcing bar is considered as elastic-perfectly plastic material and its stress is calculated from the limiting principal compressive strain of concrete. The governing failure mechanisms based on test results are idealized as rigid moving blocks separated by a hyperbolic yield line. The effective compressive strength of concrete is calculated from the formula proposed by Vecchio and Collins. Comparisons with existing test results are performed, and they show good agreement.

Extursion of viscoplastic material (점소성재료의 압출)

  • Oh, Hung-Kuk
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.5 no.2
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    • pp.77-81
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    • 1981
  • 1200.deg.C-1300.deg.C 의 열간 단조작업에서의 강철은 스트레인 속도에 민감하고 그 기계적인 특성방정식은 .delta.=.delta.$_{0}$ .epsilon.$^{m}$ 이다. 이 연구는 열간압출시 필요고 하는 작용력을, 상계이론을 사용하여 해석하고 쟤료의 기계적 특성상수들을 대입하여, 계산한다. 이 결과를 실험치와 비교하고 압출각, 마찰계수, 스트레인 속도와 점성계수등의 일반적인 영향에 대해서도 토의하였다.특히 변형역내의 평균스트레인 속도에 의한 일정 항복용력을 사용하였을 경우에 대해서도 비교 검토되었다.

Shear Strength of Reinforced High Strength Concrete Deep Beams with Geometric Condition (기하학적 경계조건을 고려한 고강도 철근 콘크리트 춤이 큰 보의 전단강도)

  • 오정근;신성우
    • Magazine of the Korea Concrete Institute
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    • v.10 no.1
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    • pp.109-118
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    • 1998
  • 전단거동에 의해 지배되는 고강도 철근콘크리트 춤이 큰 보의 전단역학적 거동 및 전단강도특성을 고려한 이론식을 제시하고자 소성이론에 근거한 극한해석에서 상계치정리를 이용하여 이론적 전개를 하였으며, 고강도 R/C춤이 큰 보의 전단응력에 영향을 미치는 콘크리트 압축강도, 수직전단보강근 및 수평잔단보강근의 보강효과를 고려한 이론식을 제시하였으며, 수평철근 즉 주인장철근 및 수평전단보강근의 장부작용을 고려하였다. 실험결과와 비교할 때 제안식은 수직잔단보강근의 전단보강효과를 과대평가하고있으며, 수평전단보강근의 효과를 적절하게 평가하고 있음을 나타내었다. 또 전단스팬비가 0.5, 0.85인 경우에는 제안식에 의한 값이 다소 낮게 나타내, 전단스팬비가 낮은 경우는 다소 과소평가하는 것으로 나타났다.

Shear Friction Strength Model of Concrete considering Transverse Reinforcement and Axial Stresses (축응력 및 횡보강근을 고려한 콘크리트의 전단마찰내력 평가모델)

  • Hwnag, Yong-Ha;Yang, Keun-Hyeok
    • Journal of the Korea Concrete Institute
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    • v.28 no.2
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    • pp.167-176
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    • 2016
  • Shear friction strength model of concrete was proposed to explain the direct friction mechanism at the concrete interfaces intersecting two structural elements. The model was derived from a mechanism analysis based on the upper-bound theorem of concrete plasticity considering the effect of transverse reinforcement and applied axial loads on the shear strength at concrete interfaces. Concrete was modelled as a rigid-perfectly plastic material obeying modified Coulomb failure criteria. To allow the influence of concrete type and maximum aggregate size on the effectiveness strength of concrete, the stress-strain models proposed by Yang et al. and Hordijk were employed in compression and tension, respectively. From the conversion of these stress-strain models into rigidly perfect materials, the effectiveness factor for compression, ratio of effective tensile strength to compressive strength and angle of concrete friction were then mathematically generalized. The proposed shear friction strength model was compared with 91 push-off specimens compiled from the available literature. Unlike the existing equations or code equations, the proposed model possessed an application of diversity against various parameters. As a result, the mean and standard deviation of the ratios between experiments and predictions using the present model are 0.95 and 0.15, respectively, indicating a better accuracy and less variation than the other equations, regardless of concrete type, the amount of transverse reinforcement, and the magnitude of applied axial stresses.

Influence of Inclined Reinforcement around Openings on the Shear Behavior of Reinforced Concrete Continuous Deep Beams (철근콘크리트 연속 깊은 보의 전단 거동에 대한 개구부 경사 보강근의 영향)

  • Chung, Heon-Soo;Sim, Jae-Il;Yang, Keun-Hyeok
    • Journal of the Korea Concrete Institute
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    • v.19 no.2
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    • pp.171-178
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    • 2007
  • Twelve reinforced concrete continuous deep beams having web openings within interior shear spans were tested to failure. All beams tested had the same geometrical dimensions. The main variables investigated were the opening size and amount of inclined reinforcement around openings. An effective inclined reinforcement factor combining the influence of the opening size and amount of inclined reinforcement on the structural behavior of the beams tested is proposed. It was observed that the load distribution, diagonal crack width, and load capacity of beams tested were greatly dependent on the effective inclined reinforcement factor which ranged from 0 to 0.171 for the test specimens. The higher this factor, the smaller the diagonal crack width and its development rate. A higher load capacity also developed in beams having effective inclined reinforcement factor above 0.077 than in the corresponding solid deep beams. A numerical technique based on the upper bound analysis of the plasticity theory is proposed to evaluate the load capacity of continuous deep beams having openings within interior shear spans. Predictions obtained from the proposed formulas are in good agreement with test results.

Determination of Constant Friction Factor and Forming Characteristics of Sintered Porous Metal (소결금속 의 성형 특성 및 마찰 상수 결정 에 관한 연구)

  • 오흥국;문재호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.8 no.2
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    • pp.111-118
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    • 1984
  • On the basis of plasticity theory for porous metal, an analysis of ring compression is carried out, employing the upper bound approach. The plastic flowability and the neutral radius of porous metal ring are calculated and deformation characteristics of power forging are obtained from this result. The experiments on ring compression are carried out for sintered iron porous metal with various relative densities under various friction conditions. A good agreement is observed between the shapes of the calculated curves and the experimental results from the ring compression test. The friction factor for powder metal forming can be determined not only from the relationship between reduction in height and reduction in internal diameter but independently from the relationship between reduction in height and relative density, if the initial relative density is known.

Shear Capacity of Reinforced Concrete Continuous T-Beams Externally Strengthened with Wire Rope Units (와이어로프로 외부 보강된 철근콘크리트 연속 T형 보의 전단내력)

  • Yang, Keun-Hyeok;Sim, Jae-Il;Byun, Hang-Yong
    • Journal of the Korea Concrete Institute
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    • v.19 no.6
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    • pp.773-783
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    • 2007
  • A simple unbonded-type shear strengthening technique for reinforced concrete beams using wire rope units is developed. Six two-span continuous T-beams externally strengthened with wire rope units and an unstrengthened control beam were tested. The main variables investigated were the amount and prestressing force of wire rope units. All specimens had the same geometrical dimension and arrangement of internal reinforcement. Influence of the distribution of vertical stresses in beam web owing to the prestressing force of wire rope units on the diagonal shear cracking load and the ultimate shear capacity of beams tested is presented. Based on the current study, it can be concluded that the amount and initial prestress of wire rope should be limited to be above 2.5 times the minimum shear reinforcement ratio specified in ACI 318-05 and below 0.6 times its own tensile strength, respectively, to ensure the enhancement of shear capacity and ductile failure mode of the strengthened beams. A numerical analysis based on the upper-bound theorem is developed to assess the shear capacity of continuous T-beams strengthened with wire rope units. From the comparisons of measured and predicted shear capacities, a better agreement is achieved in the proposed numerical analysis than in empirical equations recommended by ACI 318-05.

Effect of Transverse Reinforcement on the Shear Friction Capacity of Concrete Interfaces with Construction Joint (시공줄눈이 있는 콘크리트 경계면의 전단마찰 내력에 대한 보강철근의 영향)

  • Hwnag, Yong-Ha;Yang, Keun-Hyeok
    • Journal of the Korea Concrete Institute
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    • v.28 no.5
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    • pp.555-562
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    • 2016
  • The objective of the present study is to evaluate the shear transfer capacity of transverse reinforcement at the concrete interfaces with smooth construction joint. The transverse reinforcing bars were classified into two groups: V-type for the arrangement perpendicular to the interface and X-type for inclined-crossing arrangement. The transverse reinforcement ratio at the interface varied from 0.0045 to 0.0135 for V-type and 0.0064 to 0.0045 for X-type. The mechanism analysis proposed for monolithic concrete interface, derived based on the upper-bound theorem of concrete plasticity, was modified to evaluate the shear friction capacity of concrete interfaces with smooth construction joint. Test results showed that the specimens with X-type reinforcement had lower amount of relative slippage at the interface and higher shear friction capacity than the companion specimens with V-type reinforcement. This observation was independent of the unit weight of concrete. The mean and standard deviation of the ratios between the experimental shear friction strength of smooth construction joints and predictions obtained from the proposed model are 1.07 and 0.14, respectively.

Estimation of Shear Strength Along Concrete Construction Joints Considering the Variation of Concrete Cohesion and Coefficient of Friction (콘크리트 시공줄눈 면에서 점착력 및 마찰계수의 변화를 고려한 전단내력 평가)

  • Yang, Keun-Hyeok;Kwon, Hyuck-Jin;Park, Jong-Beom
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.21 no.6
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    • pp.106-112
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    • 2017
  • This paper presents a mathematical model derived from the upper-bound theorem of concrete plasticity to rationally evaluate the shear friction strength of concrete interfaces with a construction joint. The upper limit of the shear friction strength was formulated from the limit state of concrete crushing failure on the strut-and-tie action along the construction joints to avoid overestimating the shear transfer capacity of a transverse reinforcement with a high clamping force. The present model approach proposed that the cohesion and coefficient of friction of concrete can be set to be $0.27(f_{ck})^{0.65}$ and 0.95, respectively, for rough construction joints and $0.11(f_{ck})^{0.65}$ and 0.64, respectively, for smooth ones, where $f_{ck}$ is the compressive strength of concrete. From the comparisons with 155 data compiled from the available literature, the proposed model gave lower values of standard deviation and coefficient of variation of the ratios between predictions and experiments than AASHTO and fib 2010 equations, indicating that the proposed model has consistent trends with test results, unlike the significant underestimation results of such code equations in evaluating the shear friction strength.