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Multi-spring model for 3-dimensional analysis of RC members

  • Li, Kang-Ning;Otani, Shunsuke
    • Structural Engineering and Mechanics
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    • v.1 no.1
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    • pp.17-30
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    • 1993
  • A practical multi-spring model is proposed for a nonlinear analysis of reinforced concrete members, especially columns, taking into account the interaction of axial load and bi-directional bending moment. The parameters of the model are determined on the basis of material properties and section geometry. The axial force-moment interaction curve of reinforced concrete sections predicted by the model was shown to agree well with those obtained by the flexural analysis utilizing realistic stress-strain relations of materials. The reliability of the model was also examined with respect to the test of reinforced concrete columns subjected to varying axial load and bi-directional lateral load reversals. The analytical results agreed well with the experiment.

Calculation of the Molecular Quadrupole Moments (I). Calculation for the Quadrupole Moment Matrix Elements by Operator Technique (분자의 사중극자모멘트의 계산 (제1보). 연산자법에 의한 사중극자모멘트행렬요소의 계산)

  • Sangwoon Ahn;Jeong Soo Ko
    • Journal of the Korean Chemical Society
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    • v.23 no.5
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    • pp.296-306
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    • 1979
  • Operator technique has been applied for calculation of the quadrupole moment matrix-elements. Master formulas for the quadrupole moment matrix elements for pairs of Slater type, orbitals are derived, one using the expansion method for spherical harmonics and the other the transformed of the quadrupole moment matrix elements into overlap integrals for Mulliken. The numerical values of the quadrupole moment matrix elements evaluated by two methods are in agreement with each other and the calculated quadrupole moment for the ground state of HCl molecule is also in agreement with that of Nesbet.

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Equivalent moment of inertia of a truss bridge with steel-concrete composite deck

  • Siekierski, Wojciech
    • Structural Engineering and Mechanics
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    • v.55 no.4
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    • pp.801-813
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    • 2015
  • Flexural stiffness of bridge spans has become even more important parameter since Eurocode 1 introduced for railway bridges the serviceability limit state of resonance. For simply supported bridge spans it relies, in general, on accurate assessment of span moment of inertia that governs span flexural stiffness. The paper presents three methods of estimation of the equivalent moment of inertia for such spans: experimental, analytical and numerical. Test loading of the twin truss bridge spans and test results are presented. Recorded displacements and the method of least squares are used to find an "experimental" moment of inertia. Then it is computed according to the analytical method that accounts for joint action of truss girders and composite deck as well as limited span shear stiffness provided by diagonal bracing. Finally a 3D model of finite element method is created to assess the moment of inertia. Discussion of results is given. The comparative analysis proves efficiency of the analytical method.

Effects of near-fault loading and lateral bracing on the behavior of RBS moment connections

  • Yu, Qi-Song Kent;Uang, Chia-Ming
    • Steel and Composite Structures
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    • v.1 no.1
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    • pp.145-158
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    • 2001
  • An experimental study was conducted to evaluate the effects of loading sequence and lateral bracing on the behavior of reduced beam section (RBS) steel moment frame connections. Four full-scale moment connections were cyclically tested-two with a standard loading history and the other two with a near-fault loading history. All specimens reached at least 0.03 radian of plastic rotation without brittle fracture of the beam flange groove welds. Two specimens tested with the nearfault loading protocol reached at least 0.05 radian of plastic rotation, and both experienced smaller buckling amplitudes at comparable drift levels. Energy dissipation capacities were insensitive to the types of loading protocol used. Adding a lateral bracing near the RBS region produced a higher plastic rotation; the strength degradation and buckling amplitude were reduced. A non-linear finite element analysis of a one-and-a-half-bay beam-column subassembly was also conducted to study the system restraint effect. The study showed that the axial restraint of the beam could significantly reduce the strength degradation and buckling amplitude at higher deformation levels.

Seismic Behavior of Columns in Ordinary and Intermediate Moment Frames (보통과 중간 모멘트 골조 기둥의 내진거동 비교)

  • Han Sailg-Whan
    • Journal of the Korea Concrete Institute
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    • v.17 no.1 s.85
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    • pp.51-58
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    • 2005
  • Moment frames have been widely used in building construction. In current design codes, concrete moment frames are classified into ordinary, intermediate, and special moment resisting concrete frames (OMRCF, IMRCF, SMRCF)). The objective of this study is to investigate the seismic behavior of columns in ordinary moment resisting concrete frames (OMRCF) and intermediate moment resisting concrete frames (IMRCF). For this purpose 3 story OMRCF and IMRCF buildings were designed and detailed in compliance to ACI 318 (2002) and KCI (1999). In this study the buildings were assumed to be located in seismic zone 1 classified by UBC (1997). This study considered the columns in the 1st story since these columns shall resist the largest axial and lateral forces during an earthquake. Eight 2/3 scale column specimens were made for representing the upper part and lower part of exterior and interior columns of the OMRCF and the IMRCF Quasi-static reversed cyclic loading was applied to each specimen with a constant or varying axial load. Test results show that seismic behaviors of columns are influenced by existence of lap splices, axial force levels, and lateral reinforcement at possible plastic hinging region. However, the effect of such variables strongly co-related to each other.

Electronic and Magnetic Properties of Ti1-xMxO2-δ (M=Co and Fe) Thin Films Grown by Sol-gel Method

  • Kim, Kwang-Joo;Park, Young-Ran;Ahn, Geun-Young;Kim, Chul-Sung;Park, Jae-Yun
    • Journal of the Korean Magnetics Society
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    • v.15 no.2
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    • pp.109-112
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    • 2005
  • Electronic and magnetic properties of $Ti_{1-x}M_xO_{2-\delta}$ (M=Co and Fe) thin films grown by sol-gel method have been investigated. Anatase and rutile $Ti_{1-x}Co_xO_{2-\delta}$ films were successfully grown on $Al_2O_3$ (0001) substrates and exhibited p-type electrical conductivity while the undoped films n-type conductivity. Room temperature vibrating sample magnetometry measurements on the anatase and rutile $Ti_{1-x}Co_xO_{2-\delta}$ films with same x ($=4.8 at.{\%}$) showed quite similar magnetic hysteresis curves with the saturation magnetic moment of $\~4 {\mu}_B$ per Co ion despite their differences in structural and electronic properties. Such giant magnetic moment is attributable to the unquenched orbital moment of the $Co^{2+}$ ions substituting the octahedral $Ti^{4+}$ sites. Similar ferromagnetic behavior was observed for $Ti_{1-x}Fe_xO_{2-\delta}$ films that are highly resistive compared to the Co doped samples. Saturation magnetic moment was found to decrease for higher x, i.e., $\~2$ and $\~1.5 {\mu}_B$ per Fe ion for x=2.4 and 5.8 at. $\%$, respectively. Conversion electron $M\ddot{o}ssbauer$ spectroscopy measurements predicted the coexistence of $Fe^{2+}$ and $Fe^{3+}$ ions at the octahedral sites of $Ti_{1-x}Fe_xO_{2-\delta}$.

Nonlinear finite element analysis of top- and seat-angle with double web-angle connections

  • Kishi, N.;Ahmed, A.;Yabuki, N.;Chen, W.F.
    • Structural Engineering and Mechanics
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    • v.12 no.2
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    • pp.201-214
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    • 2001
  • Four finite element (FE) models are examined to find the one that best estimates moment-rotation characteristics of top- and seat-angle with double web-angle connections. To efficiently simulate the real behavior of connections, finite element analyses are performed with following considerations: 1) all components of connection (beam, column, angles and bolts) are discretized by eight-node solid elements; 2) shapes of bolt shank, head, and nut are precisely taken into account in modeling; and 3) contact surface algorithm is applied as boundary condition. To improve accuracy in predicting moment-rotation behavior of a connection, bolt pretension is introduced before the corresponding connection moment being surcharged. The experimental results are used to investigate the applicability of FE method and to check the performance of three-parameter power model by making comparison among their moment-rotation behaviors and by assessment of deformation and stress distribution patterns at the final stage of loading. This research exposes two important features: (1) the FE method has tremendous potential for connection modeling for both monotonic and cyclic loading; and (2) the power model is able to predict moment-rotation characteristics of semi-rigid connections with acceptable accuracy.

Counting Process of MAP(3)s and Moment Fittings (3계 마코프 도착과정의 계수과정과 적률근사)

  • Kim, Sunkyo
    • Journal of the Korean Operations Research and Management Science Society
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    • v.42 no.1
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    • pp.19-28
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    • 2017
  • Moments of stationary intervals and those of the counting process can be used for moment fittings of the point processes. As for the Markovian arrival processes, the moments of stationary intervals are given as a polynomial function of parameters whereas the moments of the counting process involve exponential terms. Therefore, moment fittings are more complicated with the counting process than with stationary intervals. However, in queueing network analysis, cross-correlation between point processes can be modeled more conveniently with counting processes than with stationary intervals. A Laplace-Stieltjies transform of the stationary intervals of MAP (3)s is recently proposed in minimal number of parameters. We extend the results and present the Laplace transform of the counting process of MAP (3)s. We also show how moments of the counting process such as index of dispersions for counts, IDC, and limiting IDC can be used for moment fittings. Examples of exact MAP (3) moment fittings are also presented on the basis of moments of stationary intervals and those of the counting process.

Moment and power of lower extremities during hemiplegic gait (편마비 환자의 보행 동안 양하지 관절의 돌림힘과 일률)

  • Kwon Young-Shil;Kang Gy-Chang;Jung Byong-Ok;Park Rae-Joon;Kim Jin-Sang
    • The Journal of Korean Physical Therapy
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    • v.11 no.1
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    • pp.55-61
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    • 1999
  • The purpose of this study was to compare the moment and power of affected Side and those of unaffected side during gait in hemiplegic patients after stroke. Force plate ana kinetic gait analysis was used. The following is resulted from this study. 1. In the hip joint, moment values had not difference between affected side and unaffected side. Power values had difference between affected and unafected side. 2. In the knee joint, moment values and power values had difference between affected side and unaffected side. 3. In the ankle feint, moment and power values had not, difference between affected side and unaffected side.

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Welded plate and T-stub tests and implications on structural behavior of moment frame connections

  • Dong, P.;Kilinski, T.
    • Steel and Composite Structures
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    • v.2 no.1
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    • pp.35-50
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    • 2002
  • A series of tests on simple-welded plate specimens (SWPS) and T-stub tension specimens simulating some of the joint details in moment frame connections were conducted in this investigation. The effects of weld strength mismatch and weld metal toughness on structural behavior of these specimens were considered under both static and dynamic loading conditions. Finite element analyses were performed by taking into account typical weld residual stress distributions and weld metal strength mismatch conditions to facilitate the interpretation of the test results. The major findings are as follows: (a) Sufficient specimen size requirements are essential in simulating both load transfer and constraint conditions that are relevant to moment frame connections, (b) Weld residual stresses can significantly elevate stress triaxiality in addition to structural constraint effects, both of which can significantly reduce the plastic deformation capacity in moment frame connections, (c) Based on the test results, dynamic loading within a loading rate of 0.02 in/in/sec, as used in this study, premature brittle fractures were not seen, although a significant elevation of the yield strength can be clearly observed. However, brittle fracture features can be clearly identified in T-stub specimens in which severe constraint effects (stress triaxiality) are considered as the primary cause, (d) Based on both the test and FEA results, T-stub specimens provide a reasonable representation of the joint conditions in moment frame connections in simulating both complex load transfer mode and constraint conditions.