• Title/Summary/Keyword: Design equations

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Inelastic lateral-torsional buckling strengths of stepped I-beams subjected to general loading condition

  • Park, Jong Sup;Park, Yi Seul
    • Structural Engineering and Mechanics
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    • v.48 no.2
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    • pp.275-289
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    • 2013
  • The cross sections of multi-span beams are sometimes suddenly increased at the interior support of continuous beams to resist high negative moment. An earlier study on elastic lateral torsional buckling of stepped beams was conducted to propose new design equations. This research aims to continue the earlier study by considering the effect of inelastic buckling of stepped beams subjected to pure bending and general loading condition. A three-dimensional finite element-program ABAQUS and a statistical program MINITAB were used in the development of new design equations. The inelastic lateral torsional buckling strengths of 36 and 27 models for singly and doubly stepped beams, respectively, were investigated. The general loading condition consists of 15 loading cases based on the number of inflection point within the unbraced length of the stepped beams. The combined effects of residual stresses and geometrical imperfection were also considered to evaluate the inelastic buckling strengths. The proposed equations in this study will definitely improve current design methods for the inelastic lateral-torsional buckling of stepped beams and will increase efficiency in building and bridge design.

On Sensitivity of Design Variables for Automation of Iterative Design Procedures (반복 설계 과정의 자동화를 위한 설계 변수 영향관계에 관한 연구)

  • Ryu, Gap-Sang;Sin, Jung-Ho
    • 한국기계연구소 소보
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    • s.18
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    • pp.125-129
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    • 1988
  • This paper proposes a sensitivity technique for analysis of the relationships between input variables (known values) and output variables(unknown values), These design variables are constrained by design equations. Thus, the output variables can be calculated by solving the equations with eliminating the input variables from the equations because the input variables become constants. If the output variables are not satisfied, the values of the input variables must be adjusted by increasing or decreasing the values and then the problem must be solved again. This is called as the iterative design procedure. The sensitivity technique, presented in this paper, gives the sensitivity on the changes of the values of the output variables to the input variables.

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A Study on the Optimum Design of Compliance Characteristics of Suspension System (현가계 컴플라이언스 특성의 최적 설계에 관한 연구)

  • Lee, J.M.;Kang, J.S.;Tak, T.O.;Yoom, J.W.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.6
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    • pp.88-97
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    • 1998
  • Compliance elements such as bushings of a suspension system play a crucial role in determining the ride and handling characteristics of the vehicle. In this paper, a general procedure is proposed for the optimum design of compliance elements to meet various design targets. Based on the assumption that the displacements of elastokinematic behavior of a suspension system under external forces are very small, linearized elastokinematic equations in terms of infinitesimal displacements and joint reaction forces are derived. Directly differentiating the linear elastokinematic equations with respect to design variables associated with bushing stiffness, sensitivity equations are obtained. The design process for determining the bushing stiffness using sensitivity analysis and optimization technique is demonstrated.

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Evaluation of Ultimate Strength Design Equations for Stress Calculation of Unbonded Tendons (비부착 긴장재의 응력산정을 위한 극한강도 설계식의 평가)

  • 임재형;문정호;이리형
    • Journal of the Korea Concrete Institute
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    • v.11 no.3
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    • pp.113-122
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    • 1999
  • The present study is to investigate the possibility of overestimation or underestimation when the ACI Code equations are used to evaluate the unbonded tendon stress. An experimental program was planned with 6 beams which divided into two groups. Each group consisted of 3 beams to check the possibility of overestimation or underestimation of unbonded tendon stress. The experimental results were also compared with various design equations including the one proposed by Moon and Lim. It was proven that the ACI Code equations may overestimate or underestimate the unbonded tendon stress in certain cases.

Combined Design Method for Shear and Torsional Moment (전단과 비틀림모멘트 설계의 조합)

  • Min, Chang-Shik
    • Journal of the Korea Concrete Institute
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    • v.23 no.1
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    • pp.57-65
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    • 2011
  • Both shear and torsional moments apply shear stresses on cross-section of a member, which need to be considered in the design. But in the current Korean Building Code, the design equations for shear and torsional moments are expressed in terms of the sectional strength with different units, causing figures to be drawn separately in two axes. If the design equations are expressed in terms of stresses, then the stresses of shear and torsional moments can be added, allowing figures to be drawn in one axis for easy recognition of the design procedure and the final design results. Moreover, the current code's design equations for shear and torsional moments are considered separately with the intention of summing the area of stirrups with respect to unit length for shear moment ($A_{\upsilon}/s$) and torsional moment ($2A_t/s$). Since the size or type of vertical stirrups are predetermined in the design process, the design equations are expressed in terms of the spacing of stirrups rather than the $A_{\upsilon}/s$ and $2A_t/s$ terms, clarifying various design steps and a design process.

Stabilizing variable structure controller design of helicopter (헬리콥터 자세안정 가변구조제어기 설계)

  • 소일영;임규만;함운철
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1504-1508
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    • 1996
  • In this paper, we derive dynamic equation of helicopter and design controller based on variable structure system. It is difficult to control helicopter because it has non-linear coupling between input and output of system and is MIMO system. The design of control law is considered here using variable structure methodology giving the robustness to parameter variations and invariance to some subsets of external disturbance. However we derive dynamic equations of helicopter and design stabilizing variable structure controller. Also, simulation results are given in this paper.

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A Comparison of Design Strength Equations between Steel and Fiber Reinforced Polymer Composites Columns (철골 및 섬유보강 폴리머(FRP) 복합 기둥의 설계강도식에 관한 비교 연구)

  • Choi, Yeol;Pyeon, Hae-Wan
    • Journal of Korean Association for Spatial Structures
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    • v.3 no.3 s.9
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    • pp.85-93
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    • 2003
  • Steel, concrete and their combination materials are the most 6commonly used materials for civil engineering structural systems such as buildings, bridge structures and other structures. Recently, however, fiber reinforced polymer (FRP) composites, a relatively new composite material made of fibers and polymer resins, have been gradually used in structural systems as an alternative structural material. This paper describes a comparison of design strength equations for steel column and FRP composite column based on design philosophies. The safety factors used in allowable stress design (ASD) are relatively higher in FRP structural design than steel structural design. Column critical stress equations of FRP composites column from an experimental study can be represented by Euler elastic buckling equation at the long-range of slenderness, and an exponential form at the short-range of slenderness as defined in Load and Resistance Factor Design (LRFD) of steel column. The column strength of steel and FRP composite columns in large slenderness is independent of material strength, this result verified the elastic buckling equation as derived by Eq. (15) and Eq. (5).

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Inverse Design Method of Supersonic wings Using Intergral Equations (적분방정식을 이용한 초음속 날개의 역설계법)

  • Jeong, Sin Gyu;Kim, Gyeong Hun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.4
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    • pp.8-15
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    • 2003
  • A practical design method for supersonic wings has been developed. The method is based on Takanashi's method that uses integral equations and iterative "residual-correction" concept. The geometry correction is calculated by solving linearized small perturbation equation (LSP) with the difference between garget and objective surface pressure distributions as a boundary condition. In the present method, LSP equation is analytically transformed to integral equations by using the Green's theorem. Design results of an isolated wing and wing-nacelle configurations are presented here.

Chord bearing capacity in long-span tubular trusses

  • Kozy, B.;Boyle, R.;Earls, C.J.
    • Steel and Composite Structures
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    • v.6 no.2
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    • pp.103-122
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    • 2006
  • The capacity of tubular truss chords subjected to concentrated reaction forces in the vicinity of the open end (i.e., the bearing region) is not directly treated by existing design specifications; although capacity equations are promulgated for related tubular joint configurations. The lack of direct treatment of bearing capacity in existing design specifications seems to represent an unsatisfactory situation given the fact that connections very often control the design of long-span tubular structures comprised of members with slender cross-sections. The case of the simple-span overhead highway sign truss is studied, in which the bearing reaction is applied near the chord end. The present research is aimed at assessing the validity of adapting existing specifications' capacity equations from related cases so as to be applicable in determining design capacity in tubular truss bearing regions. These modified capacity equations are subsequently used in comparisons with full-scale experimental results obtained from testing carried out at the University of Pittsburgh.

Parametric Study on the Aerodynamic Design of Axial-Flow Turbine Blades Using Two-Dimensional Navier-Stokes Equations (Navier-Stokes 방정식에 의한 축류터빈 블레이드의 공력학적 설계변수 특성 연구)

  • Chung, Ki-Seob;Chung, Hee-Taeg;Park, Jun-Young;Baek, Je-Hyun;Chang, Beom-Ik;Cho, Soo-Yong
    • 유체기계공업학회:학술대회논문집
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    • 2000.12a
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    • pp.169-175
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    • 2000
  • A design method for transonic turbine blades is developed based on Navier-Stokes equations. The present computing process is done on the four separate steps, 1.e., determination of the blade profile, generation of the computational grids, cascade flow simulation and analysis of the computed results in the sense of the aerodynamic performance. The blade shapes are designed using the cubic polynomials under the control of the design parameters. Numerical methods for the flow equations are based on Van-Leer's FVS with an upwind TVD scheme on the finite volume. Applications are made to the VKI transonic rotor blades. Computed results are analyzed with respect to the aerodynamic performance and are compared with the experimental data.

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