• Title/Summary/Keyword: transverse stresses

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Strength of Compression Lap Splice in Confined Concrete (횡구속된 콘크리트에서 압축이음강도)

  • Chun, Sung-Chul;Lee, Sung-Ho;Oh, Bo-Hwan
    • Proceedings of the Korea Concrete Institute Conference
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    • 2008.11a
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    • pp.855-858
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    • 2008
  • A compression lap splice can be calculated longer than a tension lap splice in high strength concrete according to current design codes. Including effects of transverse reinforcement, a compression splice becomes much longer than a tension splice. Effects of transverse reinforcement on strength and behavior of compression lap splice, which always exist in actual structures, have been investigated through experimental study of column tests with concrete strength of 40 and 60 MPa. Confined specimens have twice of calculated strengths by current design codes. New design equations for the compression lap splice including the effects of transverse reinforcement are required for practical purpose of ultra-high strength concrete. End bearing is enhanced by transverse reinforcement placed at ends of splice not by transverse reinforcement within splice length. As more transverse reinforcement are placed, the stresses developed by bond linearly increase. The transverse reinforcements at ends of splice a little improve the strength by bond.

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Long-term Behavior of Steel-Concrete Composite Girders due to Concrete Shrinkage (콘크리트 건조수축에 의한 합성거더의 장기거동)

  • Bae, Doo Byong;Youn, Seok Goo;Ham, Sang Hee
    • Journal of Korean Society of Steel Construction
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    • v.16 no.6 s.73
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    • pp.807-818
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    • 2004
  • Experimental tests and theoretical methods of the analysis of the concrete shrinkage behaviors of steel-concrete composite girders are described herein. Steel-concrete composite test specimens were fabricated in the laboratory, and long-term behaviors such as deflections, curvatures, and strains were measured for one year. Test results were compared to the analytical results obtained by using the age-adjusted effective modulus method (AEMM). In addition, composite girders have been analyzed to investigate the effects of several parameters on the concrete shrinkage behaviors. From the long-term test results, it could be used to validate AEMM for the evaluation of the shrinkage behavior of composite girders. Because the shrinkage of the reinforced concrete slab in composite girders may lead to large tensile stresses in the concrete section, the transverse cracking of the slab could occur both in the positive and negative regions. Therefore, if the cracking of concrete would be ignored,it might lead to an overestimation of the stresses of the steel section of composite girders. Based on this research, it is proposed that the effect of transverse concrete cracking on the shrinkage behavior of steel-concrete composite bridges be considered.

Size-dependent analysis of functionally graded ultra-thin films

  • Shaat, M.;Mahmoud, F.F.;Alshorbagy, A.E.;Alieldin, S.S.;Meletis, E.I.
    • Structural Engineering and Mechanics
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    • v.44 no.4
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    • pp.431-448
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    • 2012
  • In this paper, the first-order shear deformation theory (FSDT) (Mindlin) for continuum incorporating surface energy is exploited to study the static behavior of ultra-thin functionally graded (FG) plates. The size-dependent mechanical response is very important while the plate thickness reduces to micro/nano scales. Bulk stresses on the surfaces are required to satisfy the surface balance conditions involving surface stresses. Unlike the classical continuum plate models, the bulk transverse normal stress is preserved here. By incorporating the surface energies into the principle of minimum potential energy, a series of continuum governing differential equations which include intrinsic length scales are derived. The modifications over the classical continuum stiffness are also obtained. To illustrate the application of the theory, simply supported micro/nano scaled rectangular films subjected to a transverse mechanical load are investigated. Numerical examples are presented to present the effects of surface energies on the behavior of functionally graded (FG) film, whose effective elastic moduli of its bulk material are represented by the simple power law. The proposed model is then used for a comparison between the continuum analysis of FG ultra-thin plates with and without incorporating surface effects. Also, the transverse shear strain effect is studied by a comparison between the FG plate behavior based on Kirchhoff and Mindlin assumptions. In our analysis the residual surface tension under unstrained conditions and the surface Lame constants are expected to be the same for the upper and lower surfaces of the FG plate. The proposed model is verified by previous work.

Bi-axial and shear buckling of laminated composite rhombic hypar shells

  • Chaubey, Abhay K.;Raj, Shubham;Tiwari, Pratik;Kumar, Ajay;Chakrabarti, Anupam;Pathak, K.K.
    • Structural Engineering and Mechanics
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    • v.74 no.2
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    • pp.227-241
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    • 2020
  • The bi-axial and shear buckling behavior of laminated hypar shells having rhombic planforms are studied for various boundary conditions using the present mathematical model. In the present mathematical model, the variation of transverse shear stresses is represented by a second-order function across the thickness and the cross curvature effect in hypar shells is also included via strain relations. The transverse shear stresses free condition at the shell top and bottom surfaces are also satisfied. In this mathematical model having a realistic second-order distribution of transverse shear strains across the thickness of the shell requires unknown parameters only at the reference plane. For generality in the present analysis, nine nodes curved isoparametric element is used. So far, there exists no solution for the bi-axial and shear buckling problem of laminated composite rhombic (skew) hypar shells. As no result is available for the present problem, the present model is compared with suitable published results (experimental, FEM, analytical and 3D elasticity) and then it is extended to analyze bi-axial and shear buckling of laminated composite rhombic hypar shells. A C0 finite element (FE) coding in FORTRAN is developed to generate many new results for different boundary conditions, skew angles, lamination schemes, etc. It is seen that the dimensionless buckling load of rhombic hypar increases with an increase in c/a ratio (curvature). Between symmetric and anti-symmetric laminations, the symmetric laminates have a relatively higher value of dimensionless buckling load. The dimensionless buckling load of the hypar shell increases with an increase in skew angle.

A Simple Modification of the First-order Shear Deformation Theory for the Analysis of Composite Laminated Structures (복합적층구조해석을 위한 1차전단변형이론의 간단한 수정방안)

  • Chun, Kyoung-Sik;Ji, Hyo-Seon
    • Journal of Korean Society of Steel Construction
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    • v.23 no.4
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    • pp.475-481
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    • 2011
  • In this study, a simplified method of improving not only transverse shear stress but also shear strain based on the first-order shear deformation theory was developed. Unlike many established methods, such as the higher-order shear deformation and layerwise theories, this method can easily apply to finite elements as only $C^0$ continuity is necessary and the formulation of equations is very simple. The basic concept in this method, however, must be corrected:the distribution of the transverse shear stresses and shear strains through the thickness from the formulation based on the higher-order shear deformation theory. Therefore, the shear correction factors are no longer required, based on the first-order shear deformation theory. Numerical analyses were conducted to verify the validity of the proposed formulations. The solutions based on the simplified method were in very good agreement with the results considering the higher-order shear deformation theory.

Horizontal Cracks in Continuously Reinforced Concrete Pavement Structures (연속철근콘크리트 도로포장 구조물의 내부 수평균열)

  • Kim, Seong-Min;Cho, Byoung-Hooi;Kwon, Soon-Min
    • Journal of the Korea Concrete Institute
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    • v.18 no.3 s.93
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    • pp.425-429
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    • 2006
  • Horizontal cracks at the mid-depth of concrete slabs were observed at a section of the continuously reinforced concrete pavement(CRCP) structures on the Korea Highway Corporation's Test Road. To investigate the existence and the extent of horizontal cracks in the concrete slab, a number of cores were taken from the section of CRCP. To identify the causes of horizontal cracks, numerical analyses were conducted. Several variables relative to design, material, and environment were considered in the studies to evaluate possible causes of horizontal cracking. A numerical model of CRCP was developed using the finite element discretization, and the shear and normal tensile stress distributions in CRCP were investigated with the model. Numerical analysis results show that the maximum shear and normal tensile stresses develop near the depth of steel bars at transverse cracks. If those maximum stresses reach the strength of concrete, horizontal cracks occur. The maximum stresses become higher as the environmental loads, coefficient of thermal expansion of concrete, and elastic modulus of concrete increase.

Effects of Fiber Arrangements on Stress Distributions over the Transverse Cross Section of Unidirectionally Continuous Fiber-reinforced Composites (단방향 연속 섬유 복합재 횡단면에서 섬유 배열에 따른 응력 분포 변화)

  • Choi, Soohoon;Ji, Wooseok
    • Composites Research
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    • v.33 no.1
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    • pp.30-37
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    • 2020
  • Stress distributions dependent on fiber arrangements are studied using the two-dimensional representative volume element (RVE) model for uni-directionally continuous fiber-reinforced composites subjected to transverse tensile loading. It is easily expected that the stresses around the fibers are concentrated mainly due to the stiffness mismatch between the fiber and matrix materials. In this presentation, it is shown that the stresses are not always increased although the distance between two fibers is shortened. The 2D RVE models, originally having a regular hexagonal fiber array, is utilized to study the effect of the fiber locations on the stress distributions. As the central fiber is relocated, the stress distributions around the fiber are obtained through finite element analysis. It is found that the stresses around the fiber are strongly dependent on the fiber distance as well as the angle between the loading direction and the line connecting two fibers.

Performance Evaluation of Barlat's and BBC Yield Criteria based on Directionalities of R-values and Yield Stresses

  • Lou, Y.;Bae, G.;Lee, C.;Park, C.;Buh, H.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.10a
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    • pp.277-280
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    • 2009
  • This paper deals with the performance evaluation of Barlat's and BBC yield criteria by the directional variation prediction of the yield stresses and the R-values. for the evaluation of yield criteria, three kinds of Aluminum alloys and two kinds of steels were selected and their material properties are from Stoughton and Yoon's work. The experimental data required for the parameter evaluation included the uniaxial yield stresses and R-values (width-to-thickness strain ratio in uniaxial tension) measured in rolling direction, diaganol direction and the transverse direction, the equibiaxial yield stress and the R-value of equibiaxial tension. The optimization method, the Downhill Simplex method, was selected for the coefficient identification of Barlat91, Barlat97 and Barlat2000 yield criteria. Yield surface shapes, yield stress and R-value directionalities of Barlat's and BBC yield criteria were investigated and compared with the experimental data. Barlat2000 and BBC yield criteria were extremely qualified for the shape of the yield surface and the directionality of the yield stresses and the R-values.

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Minimum Weiht Design of Transverse Strength Member by Using Finite Element Method (유한요소법에 의한 횡강도부재의 최소중량설계)

  • Seung-Soo,Na;Keh-Sik,Min;Hang-Sub,Urm;Dong-Hee,Shin
    • Bulletin of the Society of Naval Architects of Korea
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    • v.22 no.3
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    • pp.27-37
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    • 1985
  • The optimum design of the transverse strength member was carried out with respect to the minimum hull weight taken account of the 2-dimensional analysis by using Finite Element Method. The optimum sizes of the member such as web height, web thickness, lower flange breadth, lower flange thickness, radii, were calculated by using Hooke and Jeeves direct search method. The optimum structure satisfies requirements to allowable bending and shear stresses in each strength member. The optimum design results were compared with the practical ship design. The optimum design saves the hull weight than that of practical design amounts to 9.6% of that.

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Dynamic analysis for delaminated composites using DKQ concept based on higher-order zig-zag theory (고차 지그재그 모델을 이용한 다중 층간 분리부가 내재한 복합재 평판의 동적 해석)

  • 오진호;조맹효;김준식
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2002.10a
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    • pp.71-74
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    • 2002
  • A higher-order zig-zag theory is developed to refine the predictions of natural frequency and mode shape of laminated composite plates with multiple delaminations. By imposing top and bottom surface transverse shear stress-free and interface continuity conditions of transverse shear stresses including delaminated interfaces, the displacement field with minimal degree-of-freedoms are obtained. This displacement field can systematically handle the number, shape, size, and locations of delaminations. Through the dynamic version of variational approach, the dynamic equilibriums and variationally consistent boundary conditions are obtained. Through the numerical example of natural frequency analysis, the accuracy and efficiency of present theory are demonstrated. The present theory is suitable as an efficient tool to analyze the static and dynamic behavior of the composite plates with multiple delaminations.

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