• Title/Summary/Keyword: moment equations

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Approximate Analysis of Corrugated Steel Culverts (파형강판 암거의 근사해석)

  • Choi, Dong-Ho;Kim, Won-Cheul;Kim, Gi-Nam
    • Journal of the Korean GEO-environmental Society
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    • v.2 no.4
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    • pp.15-27
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    • 2001
  • This paper proposes the force equations(thrust, moment) of corrugated steel culverts through the finite element method. The conditions for maximum thrust and maximum moment are determined from the analysis of soil-structure interaction during the three construction stages, such as backfill to the crown, backfill to the soil cover, and live loads. The proposed form of thrust and moment equations are deduced from the analysis of behaviour and the application of Castigliano's second theorem for the semi-arch structure. Finally, the coefficients used in the proposed equations are determined from a large number of analysis for the various geometries and the soil-structure relative stiffness under the conditions of maximum thrust and maximum moment.

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Elastic Lateral Buckling Strength of Singly Stepped Beams with Load Height Effect (하중고 효과를 고려한 일단 변단면보의 탄성좌굴강도식 개발)

  • Park Jong-Sup
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.7 no.1
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    • pp.63-69
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    • 2006
  • New design equations for calculating the lateral-torsional buckling moment resistances of singly stepped I-section beams subjected to general loading on the top flange are suggested based on the investigations of elastic finite-element analyses. The new equations presented in this study are compared with current moment gradient modifiers presented by other researchers and specifications. The study considered almost loading cases on buildings and bridges. The proposed equations should be easily used to calculate the lateral-torsional buckling moment resistance of stepped I-beams.

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Prediction of Moments and Muscle Forces at the Knee Joint in Deep Flexion (무릎 관절의 고굴곡에 대한 모멘트와 근력의 추정)

  • Cho, Bong-Jo;Moon, Byoung-Young;Son, Kwon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.9
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    • pp.1262-1269
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    • 2004
  • This study predicts muscle forces acting on the lower extremity when the knee joint is in deep flexion. The whole body was approximated as a link model, and then the moment equilibrium equations at the lower extremity joints were derived far given reaction farces against the ground. Measurement of deep flexion was carried out by placing ten markers on the body. This study calculated the moment acting at each Joint from the equations of force and moment, classified the complicated muscles around the knee joint, and then predicted the muscle forces to balance the joint moment. Two models were proposed in this study: the simpler one that consists of three groups of muscle and the more detailed one of nine groups of muscle.

Prediction of Muscle Forces for the Knee Joint in Deep Flexion (고굴곡 동작 해석을 위한 무릎 관절 작용 근력의 분류)

  • Cho, Bong-Jo;Son, Kwon;Moon, Byung-Young
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.1288-1293
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    • 2003
  • This study predicts muscle forces acting on the lower extremity when the knee joint is in deep flexion. The whole bodies were approximated as a link model, and then the moment equilibrium equations at the lower extremity joints were derived for given reaction forces against the ground. Measurement of deep flexion was carried out by placing ten markers on the body. This study calculated the moment acting at each joint from the equations of force and moment, classified the complicated muscles around the knee joint. and then predicted the muscle forces to balance the joint moment. Two models were proposed in this study: the simpler one that consists of three groups of muscle and the more detailed one of nine groups of muscle.

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A Study on the Analysis of Stochastic Dynamic System (확률적 동적계의 해석에 관한 연구)

  • Nam, S.H.;Kim, H.R.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.4
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    • pp.127-134
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    • 1995
  • The dynamic characteristics of a system can be critically influenced by system uncertainty, so the dynamic system must be analyzed stochastically in consideration of system uncertainty. This study presents a generalized stochastic model of dynamic system subjected to bot external and parametric nonstationary stochastic input. And this stochastic system is analyzed by a new stochastic process closure method and moment equation method. The first moment equation is numerically evaluated by Runge-Kutta method. But the second moment equation is founded to constitute an infinite coupled set of differential equations, so this equations are numerically evaluated by cumulant neglect closure method and Runge-Kutta method. Finally the accuracy of the present method is verified by Monte Carlo simulation.

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Modified Moment Gradient Correction Factor of Nonprismatic Beams (변단면보의 개선된 모멘트 구배 수정계수)

  • Park, Jong Sup
    • Journal of Korean Society of Steel Construction
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    • v.18 no.2
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    • pp.191-201
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    • 2006
  • New design equations for calculating the lateral-torsional buck ling moment resistances of stepped I-section beams with/without continuous lateral top-flange bracing subjected to a point load, a series of point loads, and a uniformly distributed load, are suggested based on the results of elastic finite-element analyses. The new equations presented in this study are compared with the current moment gradient modifiers presented by other researchers and specifications. Although the study paper presents mainly stepped-beam cases subjected to a point load and a uniformly distributed load. The proposed equations include the length-to-height ratio effects for stepped beams with continuous lateral top-flange bracing. The new moment gradient correction factors could be easily used to calculate the lateral-torsional buckling moment resistance of stepped I-beams.

AN ERROR ESTIMATION FOR MOMENT CLOSURE APPROXIMATION OF CHEMICAL REACTION SYSTEMS

  • KIM, KYEONG-HUN;LEE, CHANG HYEONG
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.21 no.4
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    • pp.215-224
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    • 2017
  • The moment closure method is an approximation method to compute the moments for stochastic models of chemical reaction systems. In this paper, we develop an analytic estimation of errors generated from the approximation of an infinite system of differential equations into a finite system truncated by the moment closure method. As an example, we apply the result to an essential bimolecular reaction system, the dimerization model.

Torsional Analysis of RC Beam Considering Tensile Stiffening of Concrete (콘크리트의 인장강성을 고려한 RC보의 비틀림 해석)

  • 박창규
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.10a
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    • pp.167-172
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    • 2002
  • Nonlinear analysis of the reinforced concrete beam subjected to torsion is presented. Seventeen equations involving seventeen variables are derived from the equilibrium equation, compatibility equation, and the material constitutive laws to solve the torsion problem. Newton method was used to solve the nonlinear simultaneous equations and efficient algorithms are proposed. Present model covers the behavior of reinforced concrete beam under pure torsion from service load range to ultimate stage. Tensile resistance of concrete after cracking is appropriately considered. The softened concrete truss model and the average stress-strain relations of concrete and steel are used. To verify the validity of Present model, the nominal torsional moment strengths according to ACI-99 code and the ultimate torsional moment by present model are compared to experimental torsional strengths of 55 test specimens found in literature. The ultimate torsional moment strengths by the present model show good results.

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Design and Strain Analysis of Precision 3-component Load Cell

  • Kim, Gab-Soon;Rhee, Se-Hun
    • International Journal of Precision Engineering and Manufacturing
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    • v.1 no.1
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    • pp.22-32
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    • 2000
  • This paper describes the development of a precision 3-component load cell with plate beams which may be used for measuring forces Fx, Fy and moment Mz simultaneously in industry. The equations to predict the bending strains on the surface of the beams under forces or moment are derived, the attachment location of strain gages of each sensor is determined, and 3-component load cell is carried out. It reveals that the rated strain calculated from the derived equations are good agreement with the results from Finite Element Method analysis.

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Flexural behavior of concrete beams reinforced with aramid fiber reinforced polymer (AFRP) bars

  • Kim, Min Sook;Lee, Young Hak;Kim, Heecheul;Scanlon, Andrew;Lee, Junbok
    • Structural Engineering and Mechanics
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    • v.38 no.4
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    • pp.459-477
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    • 2011
  • Due to the low elastic modulus of FRP, concrete members reinforced with FRP rebars show greater deflections than members reinforced with steel rebars. Deflection is one of the important factors to consider the serviceability of horizontal members. In this study flexural test of AFRP reinforced concrete beams was performed considering reinforcement ratio and compressive strength as parameters. The test results indicated that flexural capacity and stiffness increase in proportion to the reinforcement ratio. The test results were compared with existing proposed equations for the effective moment of inertia including ACI 440. The most of the proposed equations were found to over-estimate the effective moment of inertia while the equation proposed by Bischoff and Scanlon (2007) most accurately predicted the values obtained through actual testing.