• Title/Summary/Keyword: area moment of inertia

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Computation of Nonlinear Hydrostatic Force and Position of a Floating Structure Considering the Coupled Large Inclined Angles (연성된 과대 경사 각도를 고려한 부유식 구조물의 비선형 유체정역학 힘과 자세)

  • Cha, Ju-Hwan;Ku, Namkug;Park, Kwang-Phil
    • Korean Journal of Computational Design and Engineering
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    • v.21 no.1
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    • pp.90-98
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    • 2016
  • When ships and offshore plants are flooded or the floating crane is equipped with a heavy object, these floating structures are excessively inclined. In this case, immersion, heel, and trim affecting the hydrostatic restoration performance are very large and are coupled each other. In this paper, in order to calculate a static equilibrium position of floating structures with excessive inclination, the nonlinear governing equations were constructed by sequential linearization. In the governing equation, the immersion, heel, and trim are fully coupled, and the equations are represented using a plane area, a primary moment, and a moment of inertia of the water plane area. Therefore, it is possible to calculate the additional factor related the water plane area for estimating stability. Position and orientation of the floating structure are obtained by iterative calculation. The calculated results are compared with the previous studies in the aspect to the performance and the accuracy.

The equivalent second moment of area for the symmetrically tapered compression member (대칭형으로 taper진 압축재의 등가 단면2차모멘트)

  • 김상조;민영숙;김순철;이수곤
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.04a
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    • pp.291-298
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    • 2001
  • When the compression members have the variable cross sections along their member axes, the determination of the elastic critical loads by classical methods becomes impossible and if possible involves complicated calculation only to obtain the approximate values of critical load. In this paper the elastic critical load coefficients of the tapered members with simply supported ends were determined by finite element method. And then the results were represented by simple algebraic equations of two parameters, a( =taper parameter) and m ( = sectional property parameter). One the basis of algebraic equations, the equivalent moment of inertia concept originally proposed by Bleich for a spesific case, are extended to the general cases.

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Deflection of battened beams with shear and discrete effects

  • Li, Ji-liang;Chen, Jian-kang
    • Structural Engineering and Mechanics
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    • v.59 no.5
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    • pp.921-932
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    • 2016
  • This paper presents a theoretical analysis for determining the transverse deflection of simply supported battened beams subjected to a uniformly distributed transverse quasi-static load. The analysis considers not only the shear effect but also the discrete effect of battens on the transverse deflection of the battened beam. The analytical solution is obtained using the principle of minimum potential energy. Numerical validation of the present analytical solution is accomplished using finite element methods. The present analytical solution shows that the shear effect on the transverse deflection of battened beams increases with the cross-section area of the main member but decreases with the cross-section area of the batten. The longer the battened beam is, or the larger the moment of inertia of the main member is, the smaller the shear effect will be.

A Study on Design Optimization System for Thin Walled Beam Structures (박판보 구조물의 최적설계 시스템 개발에 관한 연구)

  • 편성돈;이상범;임홍재
    • Transactions of the Korean Society of Automotive Engineers
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    • v.8 no.6
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    • pp.238-246
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    • 2000
  • In this paper, an optimization method of thin walled beam structures is proposed, Stiffnesses of a thin walled beam are characterized by the thickness of thin plates and the shape of the typical section of the beam. Explicit formula for section properties such as area, area moment of inertia, and torsional constants are derived using the response surface method. The explicit formula can be used for the optimal design of a structural system which consists of complicated thin walled beams. A vehicle structural system is optimized to demonstrate the proposed method.

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Shape Optimization Technique for Thin Walled Beam of Automotive Structures Considering Vibration

  • Lee, Sang-Beom;Yim, Hong-Jae;Pyun, Sung-Don
    • The Journal of the Acoustical Society of Korea
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    • v.21 no.2E
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    • pp.63-70
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    • 2002
  • In this paper, an optimization technique for thin walled beams of vehicle body structure is proposed. Stiffness of thin walled beam structure is characterized by the thickness and typical section shape of the beam structure. Approximate functions for the section properties such as area, area moment of inertia, and torsional constant are derived by using the response surface method. The approximate functions can be used for the optimal design of the vehicle body that consists of complicated thin walled beams. A passenger car body structure is optimized to demonstrate the proposed technique.

Optimal Design of Steel Frameworks with Displacement and Stress Constraints (변위 및 응력제약을 받는 철골구조물의 최적설계)

  • 정영식;정진현
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.10a
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    • pp.288-295
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    • 1996
  • This work presents an optimality criteria method applicable io the design of plane frames with I-shape sections. All kinds of constraints are treated properly to ensure the mathematical rigour of the method as ever. Among the various properties of a section, the cross-sectional area is chosen as the design variable associated with the member. Then other properties, moment of inertia and depth, are determined from the cross-sectional area using relationships established in advance from the sectional data for AISC standard W shapes. The optimality criteria established in this work is perfect in mathematical terms provided that the relationships between properties of a section are correct. A redesign algorithm is derived relying heavily on the Newton-Raphson method to solve the system of nonlinear constraint equations. A worked example is also Presented.

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Analysis of Economic Feasibility and Suitability of Highrise Buildings Using Highstrength Steel (고강도 강재를 활용한 초고층건물의 경제성 및 적합성 분석)

  • Kim, Seonwoong
    • Journal of the Earthquake Engineering Society of Korea
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    • v.21 no.4
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    • pp.197-204
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    • 2017
  • This paper aims to analyze the economic feasibility and investigate the possibility of elastic seismic design of wind-designed highrise concentrically braced frames considering change of mechanical properties of Korean steel under the strong wind and the low seismicity in Korea. To this end, first, highrise concentrically braced frames were designed considering strong wind load. And then, analyses of the economics of them were performed. The seismic performance evaluation of wind-designed highrise buildings was conducted using the response spectrum analysis procedure. Analysis results show that it is possible to save up to approximately 90% of the amount of steel on the 10% increase in steel strength without serviceability. However, with serviceability, the design sectional area of the steel with relatively high strength tends to increment considerably because of the lateral stiffness due to reduction of the inertia moment and so on. This point might apply to limitation of the steel with high tensile yield strength.

Analysis of Orientation and Distribution of Steel Fiber in Fiber Reinforced Concrete Column by Micro-CT Scanning (Micro-CT 스캐닝을 통한 섬유보강 콘크리트 기둥내부 강섬유의 배향성 및 위치분포 분석)

  • Park, Tae-Hoon;Suh, Heong-Won;Bae, Sung-Chul
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2019.05a
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    • pp.23-24
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    • 2019
  • In this study, analysis of steel fiber orientation and distribution inside fiber reinforced concrete was performed using micro-CT scanning technology. Samples were extracted from the column according to its height and distance from the mold. Samples were scanned in order to attain the image of steel fibers then region of interest were obtained by binarization process. By calculating the principle moment of inertia of each fiber, direction vector, scale, center postion, volume, and surface area were gained in order to analyze the orientation and distribution. Most of the fibers inside the column tended to be perpendicular to the main axis of the column. Moreover, most of the fibers appeared at the bottom of the column and at the position where it is farthest from the mold.

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A Study on the Development of PC-based Section Property Calculation Software for Design Engineers (설계 및 해석지원을 위한 PC용 단면계수계산 소프트웨어 개발에 관한 연구)

  • 장성국;강신한
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.44
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    • pp.497-506
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    • 1997
  • In this paper described is the software developed to calculate the physical properties of arbitrary section shape. The software consists of arbitrary section display module(ASDM) and section property calculation module(SPCM). ASDM defines and displays the shape of arbitrary section and SPCM calculates its properties such as area, centroid, moment of inertia, torsional constant, etc.. In many cases, calculation of section properties is not easy because user has to define the vertex coordinates which are difficult to do so in the case of arbitrary section. In the developed software, however, since user is asked to define only points of central lines and thickness of arbitrary section, the calculattion task of arbitrary section is very effective.

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On the Strength Analysis of the Stiffener with Asymmetric Cross Section (비대칭(非對稱) 단면(斷面) 보강재(補剛材)의 강도해석(强度解析))

  • S.J.,Yim;Y.S.,Yang;J.S.,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.17 no.1
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    • pp.11-18
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    • 1980
  • In the conventional ship's structures, the stiffeners with asymmetric sections have been widely used, in spite of the disadvantage on the point of strength, compared to those with symmetric sections. So far, the stiffened plating was usually analyzed not considering the geometric unsymmetry characteristics of the section, including only the cross sectional area and moment of inertia. In this paper, the stiffened plating is devided into the strips having a thin-walled open cross section by using the concept of the effective width. The geometric characteristics of the sections are also included. The governing equations are derived, which can be applied to the arbitrary cross section beams, and the symmetric and the asymmetric section beams which have the same cross sectional areas are analyzed by using the finite element method. From that result, we obtain the allowable load of the two sections, and compared them.

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