• Title/Summary/Keyword: 평형 계산

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Bending Moment Calculation Method and Optimum Element Size for Finite Element Analysis with Continuum Elements (연속체 요소를 사용한 유한요소해석의 휨 모멘트 계산 방법 및 최적의 요소 크기)

  • Heo, Ji-Hye;Kim, Han-Soo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.1
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    • pp.9-16
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    • 2018
  • When designing a reinforced concrete member using nonlinear finite element analysis results, the bending moment at the critical section should be calculated. In this paper, a bending moment calculation method using the results of reinforced concrete finite element analysis(FEA) using continuum elements is presented and the optimum element size according to the order of the displacement function of the finite element is proposed. The bending moments calculated by integrating the stresses from the FEA are compared with the bending moments calculated using the static equilibrium conditions. In the method of integrating the stress, both the stress due to the reinforcing bar and the stress of the concrete are considered. In addition, various factors affecting the accuracy of the stresses calculated by the FEA were analyzed and the influence of the displacement function and the element size was verified. If the purpose of the analysis is to roughly observe the behavior of the members, it is appropriate to use the first order displacement function and the element size should be about 25% of the section height of the analytical model. When the bending moment of a member with high accuracy is required, it is suggested that the secondary displacement function be used and the element size be 12.5%.

The Effects of Ionic Strength on Polytungstate Ions Equilibrium in KCl Solution (다중텅그스텐산 이온평형에 대한 이온세기의 영향. 염화칼륨용액에서)

  • Ahn Sangwoon
    • Journal of the Korean Chemical Society
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    • v.18 no.3
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    • pp.157-170
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    • 1974
  • The effects of ionic strength on the polynucleation reaction of tungstate ions and the protonized reaction of polytungstate ions have been investigated in the range of ionic strength from 1 M to 4 M KCl.The hexatungstate ions and the protonized forms of hexatungstate ions are formed in the tungstate solutions whose ionic strengths are 1 M to 4 M KCl. The equilibrium constants for the formation of hexatungstate ions and the protonized forms of hexatungstate ions are calculated in the range of ionic strength from 1 M to 4M KCl. The enthalpy changes for the formation of hexatungstate ions and the protonized forms of hexatungstate ions are as follows; $7H^++{6WO_4}^{2-}={HW_6O_{21}}^{5-}+3H_2O\;\;{\Delta}H^{\circ}=-62.4{\pm}0.6$$H^++{HW_6O_{21}}^{5-}={H_2W_6O_{21}}^{4-}\;\;{\Delta}H+_1^{\circ}=-4.12{\pm}0.10$$H^++{H_2W_6O_{21}}^{4-}={ H_3W_6O_{21}}^{3-}\;\;{\Delta}H_2^{\circ}=-4.36{\pm}0.30$ The free energy and entropy changes for the above reactions have been also calculated. A linear relation is formed between $log k_{6,7}$ and ionic strength, and $log k_1\;or\;log k_2\;vs{\cdot}{\mu}.$ $log k_{6,7}\;=\;D{\mu}+I,\;\;where\;D\;=\;1.66{\pm}0.02$$log k_1\;=\;D_1{\mu}+I_1,\;\;where\;D_1\;=\;-8.065{\pm}0.001$$log k_2\;=\;D_2{\mu}+I_2,\;\;where\;D_2\;=\;-0.376{\pm}0.006$

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Estimates of Flushing Time in a Bay using the SCS Curve Number Method (SCS 유출곡선지수법(流出曲線指數法)을 이용한 만내(灣內) 담수(淡水) 교체시간(交替時間)의 추정(推定))

  • Kim, Jong Hwa;Chang, Sun Duck;Song, Hyun Ku
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.6
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    • pp.1453-1463
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    • 1994
  • The SCS Curve Number(CN) method has become widely accepted as a procedure of estimating stormflow volumes for design and natural events in small watersheds. The applicability of this method for calculating the flushing time was evaluated as compared with the net volume transport(NVT) method in Masan Bay, Korea. It is shown that the flushing time using the CN method ranged from 10.9 to 15.3 days under the well mixed condition, that the time using the NVT method was 13.9 days averaged over 6 days of field data. These results were revealed that two methods calculated the approximate times as shown above. The relationships between the run-off, Qr, and the flushing time, t, are expressed as the following forms. $t_1=228.79Q_r^{-0.9996}$ in case of well mixed condition, (1) $t_2=131.06Q_r^{-1.0}$ in case of two layered model. (2) Those empirical expressions are represented that the relationships between Q and t are nonlinear as those as Bumpus obtained in Boston Inner Harbour. Therefore, the CN method will permit calculation of the flushing time for any given bay to be unexpected as water balance under the condition of short-time (0.5 day) data, instead of NVT method based on the long-time (at least 3 days over) data.

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An analytical study on the thermal performance of multi-tube CO2 water heater (다중관형 CO2 급탕열교환기의 열적성능에 대한 해석연구)

  • Chang, Keun Sun;Choi, Youn Sung;Kim, Young-Jae
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.8
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    • pp.23-30
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    • 2016
  • In this study, the heat transfer and pressure drop characteristics were evaluated for multi-tube $CO_2$ water heaters with lengths of 4.5 m and 7.5 m. The evaluation was done using the -NTU method, and the results were compared with experimental data. Water flows through the shell side of the water heater, while $CO_2$ flows through 8 inner tubes. The heater uses a counter-current design to maximize the heat transfer efficiency. The energy balance equation describing the flows of $CO_2$ and water for each node is set up using the section-by-section method. The calculated heat transfer rates agree well with the experimental data within ${\pm}5%$ error. The outlet water temperature decreased linearly with the increase of the water flow rate. The calculated heat transfer rates agreed well with the experimental data within ${\pm}3%$ error. The results show that the heat transfer rate increases almost linearly with the increase of water flow rate or $CO_2$ inlet temperature in both the 4.5-m and 7.5-m water heaters, whereas the water outlet temperature linearly decreases with the increase of the water flow rate. The comparison of the $CO_2$ pressure drop between the calculation and experiment results shows good agreement at the high $CO_2$ flow rate within 5 % error, but the value is about 20 % higher in the experimental pressure drop at the low $CO_2$ flow rate.

The Characteristic Calculation of a Phosphoric Acid Ion Exchanger using the Potentiometric Titration (전위차 적정법을 이용한 인산형 양이온교환수지의 특성 계산)

  • Kim, T.I.;Son, W.K.
    • Applied Chemistry for Engineering
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    • v.10 no.6
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    • pp.871-875
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    • 1999
  • We calculated the characteristics of a phosphoric cation exchanger and studied on an accurately computable method to determine the ion exchange capacity for type of potentiometric titration curve. The ion exchanger was prepared by phosphorylation of a styrene-divinylbenzene copolymer with 4% crosslinking. The ion exchange capacity is 5.7 meq/g. The experimental pK values versus ${\mathit{x}}$ in phosphoric cation exchanger can be expressed as a linear equation. The ${\Delta}pK$ values were obtained from the slope of linear equation. The ${\Delta}pK$ values are the differences of antilogarithms(pK) values of the apparent equilibrium constant at complete and zeroth neutralization of the ion exchanger. Also the experimental pK values at ${\mathit{x}}=0.5$ were accorded well with theoretical data. And when it is titrated with NaOH and $Ba(OH)_2$ solutions, a good agreement between experimental and theoretical pK values for various ${\mathit{x}}$ was seen in all the potentiometric titration curves. We knew that the inflection point of potentiometric titration curve in the case of divalent ions are changed much large than that for monovalent ions. If the relation between g values and ${\partial}pH/{\partial}g$ was plotted to the Lorentz distribution curve, ion exchange capacity can be accurately evaluated.

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Radionuclides Transport from the Hypothetical Disposal Facility in the KURT Field Condition on the Time Domain (KURT 부지 환경에 위치한 가상의 처분 시설에서 누출되는 방사성 핵종의 이동을 Time Domain에서 해석하는 방법에 관한 연구)

  • Hwang, Youngtaek;Ko, Nak-Youl;Choi, Jong Won;Jo, Seong-Seock
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.10 no.4
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    • pp.295-303
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    • 2012
  • Based on the data observed and analyzed on a groundwater flow system in the KURT (KAERI Underground Research Tunnel) site, the transport of radionuclides, which were assumed to be released at the supposed position, was calculated on the time-domain. A groundwater pathway from the release position to the surface was identified by simulating the groundwater flow model with the hydrogeological characteristics measured from the field tests in the KURT site. The elapsed time when the radionuclides moved through the pathway is evaluated using TDRW (Time Domain Random Walk) method for simulating the transport on the time-domain. Some retention mechanisms, such as radioactive decay, equilibrium sorption, and matrix diffusion, as well as the advection-dispersion were selected as the factors to influence on the elapsed time. From the simulation results, the effects of the sorption and matrix diffusion, determined by the properties of the radionuclides and underground media, on the transport of the radionuclides were analyzed and a decay chain of the radionuclides was also examined. The radionuclide ratio of the mass discharge into the surface environment to the mass released from the supposed repository did not exceed $10^{-3}$, and it decreased when the matrix diffusion were considered. The method used in this study could be used in preparing the data on radionuclide transport for a safety assessment of a geological disposal facility because the method could evaluate the travel time of the radionuclides considering the transport retention mechanism.

On the Development of the Generalized Slope Deflection Method for the Analysis and Design of Ship Structures (선체(船體) 구조(構造) 해석(解析) 및 설계(設計)를 위한 일반화(一般化) 경사(傾斜) 처짐법(法) 개발(開發)에 관한 연구(硏究))

  • Chang-Doo Jang;Seung-Soo Na
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.4
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    • pp.202-213
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    • 1992
  • For the analysis and design of ship structures the generalized slope deflection method(GSDM) taking account of axial elongation effect as well as the bending and shearing deformation is developed. Using the span point concept, the existing slope deflection method is easy to transform the variable section to the equivalent uniform one under the bending moment and the shear force, but it is difficult to analyze the web frame with inclined members because the axial deformation effect is not considered. In the present method, the equilibrium conditions including all force components(i.e. axial force, shear force, bending moment) are formulated at the both ends of the variable section beam, such that the usual space frame stiffness equation which can be solved easily by the matrix method is derived. The accuracy and applicability of the present method is demonstrated by analyzing the ship web frame structures.

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Development of Novel Method of Seismic Slope Stability Analysis (신(新) 유사정적 사면안정해석 기법 개발)

  • Yun, Seung;Park, Duhee;Lee, Seungho;Hwang, Youngchul
    • Journal of the Korean GEO-environmental Society
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    • v.10 no.1
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    • pp.49-54
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    • 2009
  • The seismic slope stability is most often evaluated by the pseudo-static limit analysis, in which the earthquake loading is simplified as static inertial loads acting in horizontal and/or vertical directions. The transient loading is represented by constant acceleration via the pseudostatic coefficients. The result of a pseudostatic analysis is governed by the selection of the value of the pseudostatic coefficient. However, selection of the value is very difficult and often done in an ad hoc manner without a sound physical reasoning. In addition, the maximum acceleration is commonly estimated from the design guideline, which cannot accurately estimate the dynamic response of a slope. There is a need to perform a 2D dynamic analysis to properly define the dynamic response characteristics. This paper develops a new hybrid pseudostatic method that links the modified one-dimensional seismic site response analysis and the pseudostatic algorithm. The modified site response analysis adjusts the density of the layers to simulate the change in mass and weight of the layers of the slope with depth. Multiple analyses were performed at various locations within the slope to estimate the change in seismic response of the slope. The calculated peak acceleration profiles with depth from the developed procedure were compared to those by the two-dimensional analyses. Comparisons show that the two methods result in remarkable match. The calculated profiles are used to perform pseudostatic analysis. The results show that use of peak or a fraction of acceleration at the surface can seriously underestimate or overestimate the factor of safety, and that the proposed procedure significantly enhances the reliability of a standard procedure.

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Ab Initio Studies of Hexahydroxybenzene Triscarbonate ($C_9O_9$) and Analogous Compounds ($C_9S_9,\;C_9O_6S_3,\;C_9O_3S_6$) (Hexahydroxybenzene Triscarbonate($C_9O_9$)와 유사화합물들의 ab initio 연구)

  • Kwon, Young Hi;Koo, Min Su
    • Journal of the Korean Chemical Society
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    • v.40 no.4
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    • pp.219-228
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    • 1996
  • An ab initio molecular orbital method has been applied to investigation of molecular properties and equilibrium geometries for hexahydroxybenzene triscarbonate (C9O9) and its analogous cyclic compounds (C9S9, C9O6S3, C9O3S6). In these works, the optimized geometry of each compound has been obtained at HF and MP2 levels. These results have shown that the optimized geometries of these compounds prefer D3h planar structure to C3v bowl structure. Calculations of harmonic vibrational frequencies have been also carried out at HF/3-21G* level to analyze normal modes of these compounds. Bonding characters of these compounds are studied by Mulliken and natural populations obtained at HF/6-31G* level. We have also studied the structures and the populations of C6O6 and C6S6 at HF and MP2 levels which are obtained by pyrolyses of C9O9 and analogous compounds. In addition, the single point calculations have been performed to predict the approximate energy barrier for pyrolysis of each compound.

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Magnetic Properties of Cr Substituted SiTe Compounds (SiTe에 Cr을 치환한 화합물의 자기적 성질)

  • Landge, Kalpana;Bialek, Beata;Lee, Jae-Il
    • Journal of the Korean Magnetics Society
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    • v.21 no.4
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    • pp.127-131
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    • 2011
  • In this paper, we study the electronic and magnetic properties of Cr substituted SiTe in the rock-salt structure compound using the full potential linearized augmented plane wave method within the generalized gradient approximation to the exchange correlation potential. Two stoichiometries are studied: $CrSi_3Te_4$ with 25 %, and $CrSiTe_2$ with 50 % Cr substitution. We found, from the total energy calculations, that the equilibrium lattice constant for cubic $CrSi_3Te_4$ is 11.64 a.u. and a = 7.89 a.u. and c = 11.13 a.u. for tetragonal $CrSiTe_2$. The integer value of the calculated magnetic moment per unit cell, $4{\mu}_B$ for $CrSiTe_2$ suggests that this compound is halfmetallic. The magnetic moment per unit cell for $CrSi_3Te_4$ is slightly larger than $4{\mu}_B$. The magnetic moment on Cr atoms are 3.61 and $3.62{\mu}_B$ in the $CrSi_3Te_4$ and $CrSiTe_2$, respectively. The presence of Cr atoms causes that the other atoms become slightly magnetized in both compounds. The electronic properties and the magnetism are discussed with the calculated spin-polarized density of states.