• Title/Summary/Keyword: calculation formulas

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A Study on the Reclamation Earthwork Calculation Formula (매립토공량 계산식에 관한 연구)

  • 이용희;문두열
    • Journal of Korean Port Research
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    • v.15 no.1
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    • pp.87-97
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    • 2001
  • The calculation of earthwork plays a major role in plan or design of many civil engineering projects, and thus it has become very important to advanced the accuracy of earthwork calculation. Current method used for estimating the volume of pit excavation assumes that the ground profile between the grid points is linear(trapezoidal rule), or nonlinear(simpson's formulas). In this paper the spot height method, least square method, and chamber formulas, Chen and Lin method are compared with the volumes of the pits in these examples. As a result of this study, algorithm of chen and Lin me쇙 by spline method should provide a better accuracy than the spot height method, least square method, chamber formulas. The Chen and Lin formulas can be used for estimating the excavation volume of a pit divide into a grid with unequal intervals. From the characteristics of the cubic spline polynomial, the modeling curve of the Chen and Lin method is smooth and matches the ground profile well. Generally speaking, the nonlinear profile formulas provide better accuracy than the linear profile formulas. The mathematical model mentioned make an offer maximum accuracy in estimating the volume of a pit excavation.

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A Study on the Distribution of Temperature by Moving Heat Source during Welding (용접중 이동하는 열원에 의한 온도분포에 관한 연구)

  • 왕지석
    • Journal of Advanced Marine Engineering and Technology
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    • v.6 no.2
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    • pp.51-68
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    • 1982
  • A method of calculation of temperature distribution during welding was studied and compared with the existing formulas and experimental results. In contrast to the existing formulas which are founded on the suppositions that the heat source is a point and that the dimensions of welded pieces are infinite, we tried to make the distribution of calorific density of heat source approach reality more closely, so we considered it as a normal distribution of Gauss, and we presented the formulas for calculation of temperature during welding. We also used the principle of superposition for the temperature calculations of finite welded pieces. We compared the formulas presented in this paper with the existing formulas by calculations for the welding of various materials, and considerable differences around the heat source were convinced. The thermal cycles of various points were traced through the welding experiments for the mild steel, and they were compared with the results of calculations.

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A Review for Caluculation of the Formula for Probable Rainfall Intensities Following Return Periods in the Hydrological Statistics. -On Cheong-Ju district- (재현기간별 확률 향우강도식 산정에 관한 수문통계학적 고찰-청주 지방을 중심으로-)

  • 이순혁
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.17 no.3
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    • pp.3848-3859
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    • 1975
  • The author attempted to find most suitable formulas for probable rainfall intensities with analysis and consideration for characteristics of rainfall intensities according to the short and long period return periods at Cheong-Joo district. Above mentioned formulas induced by this study can be contributed to the credibility of runoff estimation for urban sewerage system, drainage works in small catchment area and embankment works in the rivers. The results of this study are summarized as follows: 1 Calculation values by Gumbel-Chow method were selected as a mean values for the calculation of probable rainfall intensities according to return periods in the short period. 2. Calculations for probable rainfall intensities for long period are based upon to the result by Iwai's method. Talbot type, {{{{I= {a} over {t+b} }}}} is confirmed as a most suitable formula for probable rainfall intensities among calculation methods in the short periods at Cheong-Joo district. 4. Specific coefficient method, I24=RN24${\beta}$N was selected as a means of calculation for suitable formulas of probable rainfall intensities according to return periods in case of long period. 5. Runoff estimation with high credibility by rational formula can be anticipated by establishment for the most suitable probable rainfall intensities at Cheong-Joo district.

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Calculation of Electromagnetic Fields near the 3-Phase Power Lines over the earth (쌍극자안테나 이론에 의한 가공 3상전력선 근방의 전자파 전저계 계산)

  • Park, Jung-Eun;Park, Sang-Ho;Kang, Dae-Ha
    • Proceedings of the KIEE Conference
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    • 2005.07a
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    • pp.609-611
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    • 2005
  • In this study electromagnetic wave fields under power lines arc derived by dipole antenna theory and electromagnetic fields under 3 phase power lines with horizontal and vertical configuration are formulated. The calculation results by those formulas were consistent with the results of reference. The formulas were applied to 345[kV] and 765[kV] transmission lines constructed in our country.

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On the Earthwork Volume Decision Using Spline Surfaces (스플라인 곡면을 이용한 토공량 결정에 관한 연구)

  • 류재칠;이승훈;문두열
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.20 no.1
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    • pp.85-92
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    • 2002
  • The calculation of earthwork plays a major role in plan or design of many civil engineering projects, and thus it has become very important to advanced the accuracy of earthwork calculation. Current methods used for estimating the volume of pit excavation assumes that the ground profile between the grid points is linear(trapezoidal rule), or nonlinear(simpson's formulas). Generally speaking, the nonlinear profile formulas provide better accuracy than the linear profile formulas. However, all the formulas mentioned have a common drawback to ground profile, such as sharp corners or the grid points of any two straight lines. In this paper, we propose an algorithm of finding a spline surface which interpolates the given data and an appropriate method to calculate the earthwork. We present some computational results showing that our proposed method provides better accuracy than Chen and Lin's method.

Simple equations for the calculation of the temperature within the cross-section of slim floor beams under ISO Fire

  • Zaharia, R.;Franssen, J.M.
    • Steel and Composite Structures
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    • v.13 no.2
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    • pp.171-185
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    • 2012
  • The calculation of fire resistance for a composite structural element comprises the calculation of the temperature within its cross-section and of the load bearing capacity, considering the evolution of the steel and concrete mechanical properties, function of the temperature. The paper proposes a method to calculate the bending capacity under ISO fire, for Slim Floor systems using asymmetric steel beams, with a wider lower flange or a narrow upper flange welded onto a half hot-rolled profile. The temperatures in the cross-section are evaluated by means of empirical formulas determined through a parametrical analysis, performed with the special purpose non-linear finite element program SAFIR. Considering these formulas, the bending capacity may be calculated, using an analytical approach to determine the plastic bending moment, for different fire resistance demands. The results obtained with this simplified method are validated through numerical analysis.

Polarizers and Splitters on the Base of Multi-layer Systems

  • L.I. Berezhinsky;Park, Dae-Yong;Sung, Chang-Min;Park, Byung-Sun;Kwon, Kwang-Ho
    • Transactions on Electrical and Electronic Materials
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    • v.4 no.6
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    • pp.21-27
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    • 2003
  • Methods of calculation of polarizers and splitters for visible spectra based on a multi-layer dielectric system are considered. Practical formulas for calculation are given. For example the cases of a splitter calculation when R$\_$s/ > 70% and R$\_$p/$\leq$ 30% or R$\_$s/=R$\_$p/ were considered. The formulas of the effective layers method are of practical use. The optical characteristics of calculated and fabricated polarizers and splitters for 650nm and 780nm wavelengths are presented.

A Study on the Earthwork Volume Decision using the Spline Interpolation (Spline보간법을 이용한 토공량결정에 관한 연구)

  • 문두열
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.18 no.3
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    • pp.305-313
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    • 2000
  • The calculation of earthwork plays a major role in plan or design of many civil engineering projects, and thus it has become very important to advanced the accuracy of earthwork calculation. Current methods used for estimating the volume of pit excavation assumes that the ground profile between the grid points is linear(trapezoidal rule), or nonlinear(simpson's formulas). Generally speaking. the nonlinear profile formulas provide better accuracy than the linear profile formulas. However, all the formulas mentioned have a common drawback to ground profile, such as sharp corners or the grid points of any two straight lines. In this paper, mathematical model for a searching examination the drawbacks of the current methods is presented. Also, the presented formular, the spot height method, and chamber formulas, chen and lin method are compared with the volumes of the pits in these examples. As a result of this study, algorithm of a proposal area formula by spline method should provide a better accuracy than the spot height method, chamber formulas, chen and lin method. The mathematical model mentioned make an offer maximum accuracy in estimating the volume of a pit excavation.

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Explicit time integration algorithm for fully flexible cell simulation (외연적 적분 기법을 적용한 Fully Flexible Cell 분자 동영학 시뮬레이션)

  • Park Shi-Dong;Cho Maeng-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.389-394
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    • 2006
  • Fully flexible cell preserves Hamiltonian in structure, so the symplectic time integrator is applied to the equations of motion. Primarily, generalized leapfrog time integration (GLF) is applicable, but the equations of motion by GLF have some of implicit formulas. The implicit formulas give rise to a complicate calculation for coding and need an iteration process. In this paper, the time integration formulas are obtained for the fully flexible cell molecular dynamics simulation by using the splitting time integration. It separates flexible cell Hamiltonian into terms corresponding to each of Hamiltonian term, so the simple and completely explicit recursion formula was obtained. The explicit formulas are easy to implementation for coding and may be reduced the integration time because they are not need iteration process. We are going to compare the resulting splitting time integration with the implicit generalized leapfrog time integration.

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Review on Applicability of Local Scour Depth Calculation Formula in River (하천 세굴심 산정을 위한 교각 세굴심 산정식의 적용성 검토)

  • Min, ByungYun;Chang, HyungJoon;Lee, HoJin;Kim, SungDuk
    • Journal of Korean Society of Disaster and Security
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    • v.12 no.1
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    • pp.1-9
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    • 2019
  • The basic analysis of Soil and structural mechanics for the bridge substructure affected by the flow of water is sufficient in the construction of such bridges, but the stability of scour resulting from hydraulic phenomena is insufficient. In addition, it is not enough to estimate the scour depth of the bridge which reflects the watershed characteristics of the domestic river because it uses the formula for calculating the scour depth of the overseas piers in calculating the scour depth of the bridge. In this study, the application of the CSU (1993) formula, which is currently applied to the national river design criteria, was reviewed between the two formulas after calculating the scour after calculating the scour by applying another bridge deck scour calculation formula to take into account the uncertainty in the calculation of scour. In this study, in addition to the CSU (1993) formula, which is currently applied to Korean river design criteria, another scour depth calculation formula is applied to calculate uncertainty in scour depth calculation, was reviewed between the two formulas. The review confirmed that the SSE (%) showed a difference of at least 2.08%, up to 91.23%, and SSEn(%) at least 0.19%, up to 415.91%, when compared to the measured depth of the pier based on the hydraulic model experiment and the depth of the pier calculated with the nine scour depth formulas in use. In other words, it is confirmed that there are many differences between the scouring formulas of piers. The results of this study are expected to be used to estimate scour depth in future river design.