• Title/Summary/Keyword: Formulae

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A piecewise linear transverse shear transfer model for bolted side-plated beams

  • Li, Ling-Zhi;Jiang, Chang-Jiu;Su, Ray Kai-Leung;Lo, Sai-Huen
    • Structural Engineering and Mechanics
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    • v.62 no.4
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    • pp.443-453
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    • 2017
  • The performance of bolted side-plated (BSP) beams is affected by the degree of transverse partial interaction, which is a result of the interfacial slip caused by transverse shear transfer between the bolted steel plates and the reinforced concrete beams. However, explicit formulae for the transverse shear transfer profile have yet to be derived. In this paper, a simplified piecewise linear shear transfer model was proposed based on force superposition principle and simplification of shear transfer profiles derived from a previous numerical study. The magnitude of shear transfer was determined by force equilibrium and displacement compatibility condition. A set of design formulae for BSP beams under several basic load cases was also derived. Then the model was verified by test results. A worked example was also provided to illustrate the application of the proposed design formulae. This paper sheds some light on the shear force transfer mechanism of anchor bolts in BSP beams, and offers a practical method to evaluate the influence of transverse partial interaction in strengthening design.

Vertical distributions of lateral forces on base isolated structures considering higher mode effects

  • Tsai, C.S.;Chen, Wen-Shin;Chen, Bo-Jen;Pong, Wen-Shen
    • Structural Engineering and Mechanics
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    • v.23 no.5
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    • pp.543-562
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    • 2006
  • Base isolation technology has been accepted as a feasible and attractive way in improving seismic resistance of structures. The seismic design of new seismically isolated structures is mainly governed by the Uniform Building Code (UBC-97) published by the International Conference of Building Officials. In the UBC code, the distribution formula of the inertial (or lateral) forces leads to an inverted triangular shape in the vertical direction. It has been found to be too conservative for most isolated structures through experimental, computational and real earthquake examinations. In this paper, four simple and reasonable design formulae, based on the first mode of the base-isolated structures, for the lateral force distribution on isolated structures have been validated by a multiple-bay three-story base-isolated steel structure tested on the shaking table. Moreover, to obtain more accurate results for base-isolated structures in which higher mode contributions are more likely expected during earthquakes, another four inertial force distribution formulae are also proposed to include higher mode effects. Besides the experimental verification through shaking table tests, the vertical distributions of peak accelerations computed by the proposed design formulae are in good agreement with the recorded floor accelerations of the USC University Hospital during the Northridge earthquake.

Effect of Prompt Fission Neutron Spectral Formulae on Nuclear Criticality (핵분열(核分裂) 중성자(中性子)스펙트럼이 핵임계도(核臨界度)에 미치는 효과(效果))

  • Ro, Seung-Gy;Min, Duck-Kee;Youk, Geun-Uck;Oh, Hi-Peel
    • Journal of Radiation Protection and Research
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    • v.7 no.1
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    • pp.56-60
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    • 1982
  • A calculation of the effective multiplication factor has been made for GODIVA and JEZEBEL critical assemblies by using a computer code, ANISN, with having the Watt's, Cranberg's and Maxwellian formulae for the prompt fission neutron spectrum as a fission source. Then the calculated values have been compared with experimental data obtained by others. The Maxwellian formula seems to be the best one for representing the prompt fission neutron spectrum since the effective multiplication factor based on it shows a better agreement with the experimental value compared to the rest formulae.

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The Study on the Effect of Loading Condition on Ship Manoeuvrability (흘수변화가 선박 조종 성능에 미치는 영향에 관한 연구)

  • Im, Nam-Kyun;Kweon, Suk-Am;Kim, Se-Eun
    • Journal of the Society of Naval Architects of Korea
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    • v.42 no.2 s.140
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    • pp.105-112
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    • 2005
  • IMO standards for ship manoeuvrability were applied from January 1, 2004. Though model test or sea trial in full load condition is needed, it is not always possible to get such data for every ships. Therefore it is required to study the effect of loading conditions on ship manoeuvrability. Approximate formulae to estimate the hydrodynamic forces acting on a ship and the 2nd overshoot angle of $10^{\circ}$/$10^{\circ}$ zig-zag test in certain loading condition are proposed in this study These were derived from the results of model test and sea trial data. Captive model tests for 7 ships with 15 different loading conditions and sea trial data including free running test of 6 cases were used. Compared with experiment data and prediction formulae already proposed by others, the approximate formulae in this study show good agreement with model test results.

Mapping vertical bridge deformations to track geometry for high-speed railway

  • Gou, Hongye;Ran, Zhiwen;Yang, Longcheng;Bao, Yi;Pu, Qianhui
    • Steel and Composite Structures
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    • v.32 no.4
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    • pp.467-478
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    • 2019
  • Running safety and ride comfort of high speed railway largely depend on the track geometry that is dependent on the bridge deformation. This study presents a theoretical study on mapping the bridge vertical deformations to the change of track geometry. Analytical formulae are derived through the theoretical analysis to quantify the track geometry change, and validated against the finite element analysis and experimental data. Based on the theoretical formulae, parametric studies are conducted to evaluate the effects of key parameters on the track geometry of a high speed railway. The results show that the derived formulae provide reasonable prediction of the track geometry change under various bridge vertical deformations. The rail deflection increases with the magnitude of bridge pier settlement and vertical girder fault. Increasing the stiffness of the fasteners or mortar layer tends to cause a steep rail deformation curve, which is undesired for the running safety and ride comfort of high-speed railway.

Inelastic large deflection analysis of space steel frames consisting of I-shaped cross section

  • ElSabbagh, Ashraf;Hanefa, Ahmed;Zubydan, Ahmed;ElGhandour, Mohamed;Sharaf, Tarek
    • Steel and Composite Structures
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    • v.41 no.6
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    • pp.887-898
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    • 2021
  • This paper presents a simplified model to capture the nonlinear behavior of steel frames depending on the spread of plasticity method. New interaction formulae were derived to evaluate the plastic strength for I-shaped steel sections under uniaxial bending moment and axial compression load. Also, new empirical formulae were derived to evaluate the tangent stiffness modulus of steel I-shaped cross-sections considering the effect of the residual stresses suggested by the specifications in European Convention for Construction Steelworks (ECCS). The secant stiffness which depends on the tangent modulus is used to evaluate the internal forces. Based on stiffness matrix method, a finite element analysis program was developed for the nonlinear analysis of space steel frames using the derived formulae. Comparison between the proposed model results with those given by the fiber model shows very good agreement. Numerical examples were introduced to verify, check the accuracy, and evaluate the efficiency of the proposed model. The analysis results show that the new proposed model is accurate and able to minimize the solution time.

Experimental Formulae Development of Hydraulic Stability for Riprap (사석의 수리적 안정성 실험식 개발)

  • Choi, Heung-Sik;Park, Gwang-Ho
    • Journal of Korea Water Resources Association
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    • v.44 no.6
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    • pp.449-459
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    • 2011
  • By examining the experimental results, the critical mean velocity which initiates the movement of riprap is increased with the riprap size in mean diameter, the mean diameter over water depth (d/h), Froude number (Fr), and turbulent shear velocity over critical mean velocity (u*/${\nu}$) which have great correlations among them so these parameters are adopted governing hydraulic stability for riprap. The hydraulic stability equation for riprap is developed by regression analysis. The developed equation is expanded from 0.36~0.73 m/s of experimental range to 0~5.0 m/s for the application in engineering discipline. So many useful relations among those parameters including critical mean velocity are derived by expanding to high Reynolds regions. Mean diameter calculation results by expanding to high Reynolds regions coincide with the calculations of ASCE and USBR at the range of 0~3.0 m/s and the calculation result of ASCE at the range of 3.0~5.0 m/s. The results by developed formulae coincide well with the formulae of ASCE in general and also the results by recently developed existing formulae of hydraulic stability for riprap. Thus, the developed equation has the high applicability in engineering discipline to evaluate the hydraulic stability for riprap.

Development of Meat Seasoning Sauce Using Propolis (Propolis를 이용한 육류양념소스 개발)

  • Han Gwi-Jeong;Shin Doung-Sun;Kim Jin-Sook;Cho Yong-Sik;Jeong Kyoung-Soon
    • Korean journal of food and cookery science
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    • v.21 no.6 s.90
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    • pp.888-894
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    • 2005
  • We investigated the development of a new seasoning sauce using port, medicinal herbs and bee's propolis on the basis scientific experiment. We divided the sample manufacturing conditions of medicinal herbs into the following four formulae A (control), B (boiling water extraction, with added propolis), C (boiling water extraction, without propolis) and D (pressure extraction, without propolis). There was little difference in pH, titrable acidity, sodium chloride and sugar composition among the four formulae. The color value, was not changeable, despite being maintained in temperature storage (at $4^{\circ}C\;{\pm}2$) for 60 days. The order was formulae B, C, A and D. In particular, formulae B with added medicinal herbs and propolis showed greater change in oxidation than the other formulae, but lesser change in pH. A comparison of commercial and sample products, indicated only a small change in physicochemical characteristics. However, the sample products showed much superior sensory characteristics, than commercial products.