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Nonlinear analysis of service stresses in reinforced concrete sections-closed form solutions

  • Barros, Helena F.M.;Martins, Rogerio A.F.
    • Computers and Concrete
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    • v.10 no.5
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    • pp.541-555
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    • 2012
  • This paper presents an algorithm for the evaluation of stresses in reinforced concrete sections under service loads. The algorithm is applicable to any section defined by polygonal contours and is based on an analytical integration of the stresses. The nonlinear behaviour of concrete is represented by the parabola-rectangle law used in the Eurocode-2 for the ultimate concrete design. An integrated definition of the strains in concrete and steel is possible by the use of Heaviside functions, similarly to what is done for ultimate section design in Barros et al. (2004). Other constitutive equations for the definition of the stresses in the concrete or steel can be easily incorporated into the code. The examples presented consist in the evaluation of resulting axial load and bending moment in an irregular section and in a section in L shape. The results, for service stresses, can also be plotted in terms of design abacus; a rectangular doubly reinforced section is presented as example.

Flame Propagation in a Micro Vessel under Excessive Heat Loss (과도한 열손실을 수반하는 초소형 정적연소실 내 화염전파)

  • Na, Han-Bee;Choi, Kwon-Hyoung;Kwon, Se-Jin
    • 한국연소학회:학술대회논문집
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    • 2002.06a
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    • pp.95-98
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    • 2002
  • A numerical investigation on the flame propagation and extinction in a micro combustor is described. Previous measurements of $H_2-air$ flame propagation in a submilimeter scale combustor exhibited significance of wall effects on burning velocity and extinction. The heat transfer to wall becomes important not only in the cooling of burnt gases but also during the flame ropagation, which has be by and large ignored in macro scale combustor calculations. In order to take the heat loss into account the combustion calculation, we developed a numerical code with a heat transfer model that was determined empirically from measured data. PISO algorithm was used for differencing of conservation equations. $H_2-air$ reaction was modeled with 10 species - 16 steps. Comparison with measured data showed good agreement in flame propagation speed. Also the pressure decrease after flame extinction was accurately predicted by the model. A further study is desirable for a better quenching model that can predict the quenching location.

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Distortional effect on global buckling and post-buckling behaviour of steel box beams

  • Benmohammed, Noureddine;Ziane, Noureddine;Meftah, Sid Ahmed;Ruta, Giuseppe
    • Steel and Composite Structures
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    • v.35 no.6
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    • pp.717-727
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    • 2020
  • The homotopy perturbation method (HPM) to predict the pre- and post-buckling behaviour of simply supported steel beams with rectangular hollow section (RHS) is presented in this paper. The non-linear differential equations solved by HPM derive from a kinematics where large twist and cross-sections distortions are considered. The results (linear and non-linear paths) given by the present HPM are compared to those provided by the Newton-Raphson algorithm with arc length and by the commercial FEM code Abaqus. To investigate the effect of cross-sectional distortion of beams, some numerical examples are presented.

State Assignment Method for Control Part Implementation of Effective-Area (효율적인 면적의 제어부 실현을 위한 상태 할당 방법)

  • Park, S.K.;Choi, S.J.;Cho, J.W.;Jong, C.W.;Lim, I.C.
    • Proceedings of the KIEE Conference
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    • 1987.07b
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    • pp.1556-1559
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    • 1987
  • In this paper, a new state assignment method is proposed for the implementation of the area-effective control part. Introducing the, concept of adjacency matrix to control table generated by SDL(Symbolic Description Language) hardware compiler, a state assignment method is proposed with which minimal number of flip flops and effective number of product terms can be obtained to accomplish the area-effective implementation. Also, with substituting the assigned code to state transition table, boolean equations are obtained through 2-level logic minimization. Proposed algorithm is programmed in C-language on VAX-750/UNIX and b efficiency is shown by the practical example.

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A LMR Core Thermal-Hydraulics Code Based on the ENERGY Model

  • Yang, Won-Sik
    • Nuclear Engineering and Technology
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    • v.29 no.5
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    • pp.406-416
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    • 1997
  • A computational method is developed for predicting the steady-state temperature field in an LMR core. Detailed core-wide coolant temperature profiles are efficiently calculated using the simplified energy equation mixing model[1] and the subchannel analysis method. The $\theta$-method is employed for discretizing the energy equations in the axial direction. The interassembly coupling is achieved by interassembly gap flow. Cladding and fuel temperatures are calculated with the one-dimensional conduction model and temperature integrals of conductivities. The accuracy of the method is tested by performing several benchmark calculations for too LMR problems. The results indicate that the accuracy is comparable to the other methods based on ENERGY model. It is also shown that the implicit scheme for the axial discretization is more efficient than the explicit scheme.

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A STRESS ANALYSIS FOR A COATED FUEL PARTICLE OF A HTGR USING A FINITE ELEMENT METHOD

  • Kim, Young-Min;Cho, Moon-Sung
    • Nuclear Engineering and Technology
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    • v.41 no.8
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    • pp.1087-1100
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    • 2009
  • A finite element method utilizing the Galerkin form of the weighted residuals procedure was developed to estimate the mechanical behavior for a coated fuel particle (CFP) of a high temperature gas-cooled reactor (HTGR). Through a weak formulation, finite element equations for multiple layers were set up to calculate the displacements and stresses in a CFP. The finite element method was applied to the stress analyses for three coating layers of a tri-isotropic coated fuel particle (TRISO) of a HTGR. The stresses calculated by the finite element method were in good agreement with those from a previously developed computer code and depicted the typical stress behavior of the coating layers very well. The newly developed finite element method performs a stress analysis for multiple bonded layers in a CFP by changing the material properties at any position in the layers during irradiation.

Die design for HIP'ing of Nickel-base Superalloys (초내열합금 HIP 성형을 위한 금형설계)

  • Lim J.S.;Yeom J.T.;Hou Bongliang;Park N.K.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2004.05a
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    • pp.139-142
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    • 2004
  • Nickel base superalloys are widely used for high temperature applications due to heat resisting capability and corrosion resistance at high temperatures. Superalloys with many strengthening alloying elements are frequently used in powder form to alleviate harmful effects of alloy segregation. HIP (hot isostatic pressing) and DB (diffusion bonding) as a form of solid-state bonding process is used to make turbine components, such as integrated turbine rotors. HIP/DB process requires many technical overcomes related to dimensional changes as well as microstructural control. In this research, HIP/DB process for nickel base superalloys, Udimet 720 and MM 247, were investigated with a view to control the dimensional change during the consolidation process. Simple disc-shaped cans were used to select the conceptual die design for the control of the dimensional change especially in radial direction. The change in the shape of consolidated shape was investigated using commercial FE code with constitutive equations fur low temperature plasticity deformation.

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Automated design of optimum longitudinal reinforcement for flexural and axial loading

  • Tomas, Antonio;Alarcon, Antonio
    • Computers and Concrete
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    • v.10 no.2
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    • pp.149-171
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    • 2012
  • The problem of a concrete cross section under flexural and axial loading is indeterminate due to the existence of more unknowns than equations. Among the infinite solutions, it is possible to find the optimum, which is that of minimum reinforcement that satisfies certain design constraints (section ductility, minimum reinforcement area, etc.). This article proposes the automation of the optimum reinforcement calculation under any combination of flexural and axial loading. The procedure has been implemented in a program code that is attached in the Appendix. Conventional-strength or high-strength concrete may be chosen, minimum reinforcement area may be considered (it being possible to choose between the standards ACI 318 or Eurocode 2), and the neutral axis depth may be constrained in order to guarantee a certain sectional ductility. Some numerical examples are presented, drawing comparisons between the results obtained by ACI 318, EC 2 and the conventional method.

An Experimental Test for the Development Length of Domestic Seven-wire Prestressing Strands (사점재하 보시험에 의한 국내산 7연상선의 전체정착길이 실험)

  • 김대훈;유승룡
    • Proceedings of the Korea Concrete Institute Conference
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    • 1999.04a
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    • pp.393-398
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    • 1999
  • The main objective of this project is to define the ultimate bond performance of domestic prestressing strands in the precast prestensioned concrete beams. Eight specimens from four different companies were fabricated and tested in this study. Four-point loading tests were performed on the beams of domestic strands with an arbitrary anchorage length. The research has shown, that all seven specimens except one failed in bond are capable of developing their full flexural capacity and the strands within them are fully anchored even with the sudden transfer of frame cutting. Following results are summarized from the tests conducted. 1) All of the specimens are tested at an embedment lengths much shorter than those required by the ACI code, failed in flexure except one failed in bond. 2) It seems that the beam depth can not be an effective variable to estimate the bond length within these sections and length of specimens on this tests. 3) The development length with the stirrup space which are considered for correction factors in the equations of Russel and Paulsgrove, is fully accurate to determine the required length for the beam tested in this research.

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Bond Strength Properties of Antiwashout Underwater Concrete (수중 불분리성 콘크리트의 부착 강도 특성에 관한 연구)

  • 김명식;김기동;윤재범
    • Journal of the Korea Concrete Institute
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    • v.12 no.1
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    • pp.89-99
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    • 2000
  • The objective of this study is to investigate the bond strength properties of antiwashout underwater concrete. The arrangement of bars (vertical bar, horizontal upper bar, horizontal lower bar), condition of casting and curing (fresh water, sea water), type of fine aggregate (river sand, blended sand(river sand : sea sand = 1:1), and proportioning strength of concrete (210, 240, 270, 300, 330kgf/$\textrm{cm}^2$)are chosen as the experimental parameters. The test results(ultimate bond stress) are compared with bond and development provisions of the ACI Building Code(ACI 318-89) and proposed equations from previous research(which was proposed by Orangun et. al). The experimental results show that ultimate bond stress of antiwashout underwater concrete which arranged bar on the horizontal lower, used the blend sand, and was cast and cured in the fresh water are higher that other conditions. The ultimate bond stress were increased in proportion to {{{{( SQRT {fcu }) }}3 2. From this study, rational analytic formula for the ultimate bond stress are to be from compressive strength of concrete.