• Title/Summary/Keyword: moment equations

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Coefficients of Moment Equations for Long-Span Soil-Metal Box Structures (장지간 지중강판 박스구조물의 휨모멘트 계수식 제안)

  • Choi, Dong Ho;Lee, Seung Jae;Cho, Yong Woo;Park, Sang Il
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.1A
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    • pp.133-142
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    • 2006
  • This paper evaluates the moment equations in the 2000 Canadian highway bridge code (CHBDC) for soil-metal box structures, which are applicable to the span less than 8 m. Finite element analyses carried out for soil-metal box structures having spans of 3-12 m using the deep corrugated metal plates under three construction stages; backfill up to the crown, backfill up to the cover depth, and live loading. The coefficients of moment equations are newly proposed based on the results of numerous finite element analyses considering various design variables, such as span length, soil depth, backfill conditions. The validity of the proposed coefficients in the moment equations of the 2000 CHBDC is investigated by the comparison with the existing coefficients and numerical results of finite element analyses. The comparisons show that the moments of the 2000 CHBDC give good predictions for the span less than 8m, but underestimate for the span greater than 8m, whereas the proposed moments give good estimates of numerical results for the spans of 3-12 m. In addition, this study suggests the use of high strength steel to satisfy the requirement of design bending strength for the span greater than 8 m.

Moment-rotational analysis of soil during mining induced ground movements by hybrid machine learning assisted quantification models of ELM-SVM

  • Dai, Bibo;Xu, Zhijun;Zeng, Jie;Zandi, Yousef;Rahimi, Abouzar;Pourkhorshidi, Sara;Khadimallah, Mohamed Amine;Zhao, Xingdong;El-Arab, Islam Ezz
    • Steel and Composite Structures
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    • v.41 no.6
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    • pp.831-850
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    • 2021
  • Surface subsidence caused by mining subsidence has an impact on neighboring structures and utilities. In other words, subsurface voids created by mining or tunneling activities induce soil movement, exposing buildings to physical and/or functional destruction. Soil-structure is evaluated employing probability distribution laws to account for their uncertainty and complexity to estimate structural vulnerability. In this study, to investigate the displacement field and surface settlement profile caused by mining subsidence, on the basis of a Winklersoil model, analytical equations for the moment-rotation response ofsoil during mining induced ground movements are developed. To define the full static moment-rotation response, an equation for the uplift-yield state is constructed and integrated with equations for the uplift- and yield-only conditions. The constructed model's findings reveal that the inverse of the factor of safety (x) has a considerable influence on the moment-rotation curve. The maximal moment-rotation response of the footing is defined by X = 0:6. Despite the use of Winkler model, the computed moment-rotation response results derived from the literature were analyzed through the ELM-SVM hybrid of Extreme Learning Machine (ELM) and Support Vector Machine (SVM). Also, Monte Carlo simulations are used to apply continuous random parameters to assess the transmission of ground motions to structures. Following the findings of RMSE and R2, the results show that the choice of probabilistic laws of input parameters has a substantial impact on the outcome of analysis performed.

A Study on Diesel Spray Combustion Modeling by Eulerian and Lagrangian Conditional Moment Closure Models (Eulerian 및 Lagrangian CMC 모델을 사용한 디젤분무연소 모델링에 관한 연구)

  • Kim, Woo Tae;Cho, Hyun Su;Huh, Kang Y.
    • 한국연소학회:학술대회논문집
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    • 2012.11a
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    • pp.195-198
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    • 2012
  • Numerical simulation is performed to evaluate the conditional moment closure (CMC) models for spray development, ignition, and turbulent combustion for the Engine Combustion Network (ECN) test cases. The CMC model is implemented in the open source code, OpenFOAM, to provide conditional flame structures through the solution of Eulerian as well as Lagrangian conditional transport equations. In spite of more accurate treatment of the convective term, Eulerian CMC provides similar ignition delays and lift-off lengths with Lagrangian CMC.

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Seismic Moment Conversion of instrumented Earthquakes in and around the Korean Peninsula (Ⅰ):from$m_b$or$m_s$to$m_0$ (한반도 및 인근 지역 계기지진의 지진모멘트 환산(Ⅰ):$m_b$또는 $m_s$에서$m_0$)

  • No, Myeong-Hyeon;Lee, Sang-Guk;Choe, Gang-Ryong
    • Journal of the Korean Geophysical Society
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    • v.4 no.1
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    • pp.47-55
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    • 2001
  • conversion equations to calculate seismic moment(M_0) from body-wave magnitude(m_b), surface-wave magnitude(M_s), or both were derived by using 50 earthquakes occurred within 32~44°N and 123~133°E whose M_0 were determined together with m_b or M_s. We divided those earthquakes into the deeper and the shallower ones based on the reference focal depth of 70 km. The unit of M_0 is dyne-cm. In case of M_s, the deeper earthquakes exhibit the higher seismic moment than the shallower ones. Standard deviations associated with conversion equations for deeper and shallower earthquakes are 0.25 and 0.16, respectively, in moment magnitude. , for deeper earthquakes , for shallower earthquakes. In case of m_b, the dependence of conversion equation on focal depth is not clearly observed. Associated standard deviation is 0.28 in moment magnitude. In case that both m_b and M_s were determined, a new magnitude, , were defined for shallower earthquakes to derive a more stable conversion equation. Associated standard deviation is 0.14 in moment magnitude. Conversion equations above can be used to unify the earthquake size into a single magnitude type, i.e., moment magnitude, in and around the Korea Peninsula.

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Application of the Method of Spatial Moment for Analysis the Multi-Region Model (다영역 모델의 해석을 위한 공간모멘트법의 적용)

  • 이덕주
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.42 no.2
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    • pp.78-85
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    • 2000
  • The moment equations of the concentration distribution for the multi-region model are derived using the method of moment. The method originally devised by Aris is to obtain the concentration moments satisfying a given PDE (Partial Differential Equation. The method of moment is used to obtain the first five moments (0th to 4to) that satisfy the model PDE. Each moment of the concentration distribution for the model equation is plotted for the dimensionless time and gave similar results except the skewness and the kurtosis. The results of the analysis show the physical meaning of each moment. The comparisons with the number of regions or the global interaction coefficient give a possibility to determine the parameters of the multi-region model with the analytical concepts.

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Design of Additional Tendon Force and Evaluation of Resistant Moment for Prestressed Concrete Composite Section (프리스트레스트 콘크리트 합성단면에 도입되는 추가 긴장력 설계와 저항모멘트 평가)

  • Yon Jung-Heum;Kim Do-Goon
    • Journal of the Korea Concrete Institute
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    • v.16 no.3 s.81
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    • pp.335-344
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    • 2004
  • A general composite section of precast and cast-in-place concrete with prestressed and nonprestressed reinforcements was analyzed to calculate residual stresses and loss of prestressing force caused by internal constraints of concrete long-term deformation. From the analytical results, equations to design additional prestressing force and to evaluate resistant moment of the composite section were proposed. The equations shows that the additional prestressing force can be over-estimated if the loss rate of the first prestressing force is over-estimated from the lumped sum of a design code. The analytical procedure with the proposed equations has been applied to a composite section using the AASHTO Type 5 girder. The loss rates of the additional prestressing force appling to the precast concrete girder was less than those appling to the composite girder. However, the resistant moment of the additional prestressing force on the composite girder was much larger than that on the precast concrete girder. The additional prestressing force appling to the composite section was very effective for strengthening of the prestressed concrete composite girder.

Application of Proposed Rating Equations using LRFD Beam-Column Interaction Equations for Girders and Towers in Steel Cable-Stayed Bridges (강사장교 거더와 주탑에 하중저항계수설계법의 보-기둥 상관식을 사용한 내하율 산정식 적용)

  • Choi, Dong Ho;Yoo, Hoon;Lee, Beom Soo;Cho, Sun Kyu
    • Journal of Korean Society of Steel Construction
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    • v.19 no.1
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    • pp.1-13
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    • 2007
  • As girders and towers in cable-stayed bridges are subject to bending moments as well as axial forces, the conventional load rating equation, which considers only the single force effect, cannot be used to evaluate the rating factors of cable-stayed bridges. The load rating equation for components in cable-stayed bridges is not currently established yet. In this paper, we propose load rating equations for girders and towers in cable-stayed bridges using the interaction equations for beam-column members. Moving load analyses were performed for the cases of a maximum axial compressive force, maximum positive moment and maximum negative moment for each component in cable-stayed bridges and detailed procedures to apply proposed equations were presented. The Dolsan Grand Bridge was used to verify the validity of proposed equations. The conventional load rating equation overestimates rating factors of girders and towers in the Dolsan Grand Bridge, whereas proposed equations properly reflect the axial-flexural interaction behaviour of girders and towers in cable-stayed bridges.

Compressibility Factor Effect on the Turbulence Heat Transfer of Super-critical Carbon Dioxide by an Elliptic-blending Second Moment Closure (타원혼합모형을 이용한 초임계상태 이산화탄소의 압축성계수에 의한 난류열전달 특성)

  • Han, Seong-Ho;Seo, Jeong-Sik;Shin, Jung-Kun;Choi, Young-Don
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.31 no.1 s.256
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    • pp.40-50
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    • 2007
  • The present contribution describes the application of elliptic-blending second moment closure to predict the gas cooling process of turbulent super-critical carbon dioxide flow in a square cross-sectioned duct. The gas cooling process under super-critical state experiences a drastic change in thermodynamic and transport properties. Redistributive terms in the Reynolds stress and turbulent heat flux equations are modeled by an elliptic-blending second moment closure in order to represent strongly non-homogeneous effects produced by the presence of walls. The main feature of Durbin's elliptic relaxation second moment closure that accounts for the nonlocal character of pressure-velocity gradient correlation and the near-wall inhomogeneity guaranteed by the elliptic blending second moment closure.

Behaviour of continuous prestressed concrete beams with external tendons

  • Chan, K.H. Enoch;Au, Francis T.K.
    • Structural Engineering and Mechanics
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    • v.55 no.6
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    • pp.1099-1120
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    • 2015
  • External prestressing has been applied to both new construction and retrofitting of existing reinforced and prestressed concrete structures. Continuous beams are preferred to simply supported beams because of economy, fewer movement joints and possible benefits from moment redistribution. However, this paper argues that continuous prestressed concrete beams with external unbonded tendons demonstrate different full-range behaviour compared to reinforced concrete (RC) beams. Applying the same design approach for RC to external prestressing may lead to design with a lower safety margin. To better understand the behaviour of continuous prestressed concrete beams with unbonded tendons, an experimental investigation is performed in which nine such specimens are tested to failure. The full-range behaviour is investigated with reference to moment-curvature relationship and moment redistribution. The amounts of moment redistribution measured in the experiments are compared with those allowed by BS 8110, EC2 and ACI 318. Design equations are also proposed to estimate the curvature ductility index of unbonded prestressed concrete beams.