• Advances in aircraft and spacecraft science
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• 제1권3호
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• pp.253-271
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• 2014

A linearised buckling analysis of thin-walled beams is addressed in this paper. Beam theories formulated according to a unified approach are presented. The displacement unknown variables on the cross-section of the beam are approximated via Mac Laurin's polynomials. The governing differential equations and the boundary conditions are derived in terms of a fundamental nucleo that does not depend upon the expansion order. Classical beam theories such as Euler-Bernoulli's and Timoshenko's can be retrieved as particular cases. Slender and deep beams are investigated. Flexural, torsional and mixed buckling modes are considered. Results are assessed toward three-dimensional finite element solutions. The numerical investigations show that classical and lower-order theories are accurate for flexural buckling modes of slender beams only. When deep beams or torsional buckling modes are considered, higher-order theories are required.

• Steel and Composite Structures
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• 제18권3호
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• pp.583-601
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• 2015

In the present study, the combined effects of thermal and mechanical loadings on the interlaminar shear stresses of both moderately thin and thick composite laminated beams are numerically analyzed. The finite element modelling of laminated composite beams and analysis of interlaminar stresses are performed using the commercially available software package MSC NASTRAN/PATRAN. The validity of the finite element analysis (FEA) is demonstrated by comparing the experimental test results obtained due to mechanical loadings under the influence of thermal environment with those derived using the present FEA. Various parametric studies are also performed to investigate the effect of thermal loading on interlaminar stresses generated in symmetric, anti-symmetric, asymmetric, unidirectional, cross-ply, and balanced composite laminated beams of different stacking sequences with identical mechanical loadings and various boundary conditions. It is shown that the elevated thermal environment lead to higher interlaminar shear stresses varying with the stacking sequence, length to thickness ratio, ply orientations under identical mechanical loading and boundary conditions of the composite laminated beams. It is realized that the magnitude of the interlaminar stresses along xz plane is always much higher than those of along yz plane irrespective of the ply-orientation, length to thickness ratios and boundary conditions of the composite laminated beams. It is also observed that the effect of thermal environment on the interlaminar shear stresses in carbon-epoxy fiber reinforced composite laminated beams are increasing in the order of symmetric cross-ply laminate, unidirectional laminate, asymmetric cross-ply laminate and anti-symmetric laminate. The interlaminar shear stresses are higher in thinner composite laminated beams compared to that in thicker composite laminated beams under all environmental temperatures irrespective of the laminate stacking sequence, ply-orientation and boundary conditions.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제5권2호
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• pp.39-51
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• 2001

This paper shows how boundary element method can be used to calculate torsion geometrical stiffness of cross-sections of various beams and airfoil profiles. Using the BEM direct formulation, the technique for determining bending and torsional geometrical characteristics of arbitrary multiply connected cross-sections is presented. The application limits of several well-known formulae on some test problems have been demonstrated and discused.

• 한국강구조학회 논문집
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• 제16권1호통권68호
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• pp.1-10
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• 2004

본 논문에서는 수직 및 수평 브레이싱을 생략하고 I-형 거더를 가로보만으로 연결한 강합성 2-거더교에서 가로보의 적정 배치간격 및 소요 휨강성의 산정을 위한 연구를 수행하였다. 이를 위해 지간 40m의 단순교와 40+50+40m의 2차로 연속교를 예제교량으로 시산 설계하였다. 본 교량에 대해 중간가로보의 배치 간격과 휨강성을 매개변수로 하여 합성전 후 고정하중, 활하중, 풍하중 및 지진하중에 대한 해석을 수행하고 설계하중조합에 대한 응력 및 활하중 분배효과를 분석하였다. 한편, 강재 거더와 가로보의 격자구조에 대해 합성전 고정하중을 고려한 재료-기하 비선형해석으로부터 횡비틀림 좌굴강도를 평가하였다. 이상의 해석 결과를 토대로 지점부 및 중간가로보의 적정 배치 간격과 소요 휨강성을 제안하였다.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2005년도 춘계 학술발표회 논문집
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• pp.79-86
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• 2005

This paper deals with the static optimal shapes of simple beams which are subjected to a vertical point load. The area and second moment of inertia of the regular polygon cross-section of the tapered beams are determined, which have always same volume and same length for the parabolic taper. The differential equation governing the elastic curve is derived using the small deflection theory and solved numerically. By using the numerical results of deflections, rotations and bending stresses of such beams, the optimal shapes, namely, optimal section ratios, of the beams subjected to a single point load according to variation of load position parameters are determined and presented in the figures. Examples of the static optimal shapes for beams with a single load and multiple loads are reported. The design process of this study can be used directly for the minimum weight design of simple beams.

• 한국강구조학회 논문집
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• 제18권2호
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• pp.137-146
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• 2006

본 연구에서는 단재하경로 구조로 인식되는 강합성 2-거더교에서 가로보의 제원 및 배치 간격에 따른 여유도 평가를 위한 해석적인 연구를 수행하였다. 이를 위해 수평브레이싱은 생략하고 수직브레이싱은 I-단면 가로보로 적용한 40+50+40m의 2차로 연속교를 대상으로 하였다. 본 교량에 대해 정상 상태 및 한 개 거더에 심각한 균열을 가정한 손상 상태로 구분하고 가로보의 제원과 배치 간격을 변수로 하여 재료 및 기하비선형 해석을 수행하였다. 해석으로부터 구해진 각 경우에 대한 내하력을 토대로 정상 상태 및 손상 상태 교량의 여유도를 평가하였다. 평가 결과, 정상 상태 및 손상 상태 모두 가로보의 제원과 배치 간격에 따른 여유도 차이는 거의 없었다.

• 한국방재학회:학술대회논문집
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• 한국방재학회 2008년도 정기총회 및 학술발표대회
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• pp.533-536
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• 2008

H 형강은 시공성과 유지관리의 간편성으로부터 교량의 주형과 가설 구조물에 사용하는 경우가 증가하고 있다. 특히 H형강을 교량에 적용하는 경우 지점부의 부모멘트에 의해 지간장 20m 내외가 한계이고, 기존공법의 경우 콘크리트를 사용한 공법에 비해 큰 장점을 가지고 있지 못한다. 따라서 본 연구에서는 교량의 장지간화가 가능한 가로거더공법을 개발하여 기존의 강교량의 문제점을 극복한 장지간 H형강 강합성 교량을 개발하고자한다. 여기서는 수치해석적 방법으로 주형과 주형이 연속화되는 시점을 변화시켜 내하력을 계산하고, 그 결과로 부터 합리적인 가로거더공법을 개발하고자한다.

• 한국해양공학회지
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• 제24권1호
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• pp.34-38
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• 2010

An analytical solution procedure for the dynamic response of beams with variable properties is developed by using an asymptotic solution and the Green's function. This asymptotic closed form solution is derived for the transverse vibration of beams under the assumption of slowly varying properties, such as mass, cross-section, tension etc., along the beam length. However, this solution is still found to be very accurate even in the case of large variation, such as step change in cross-section, mass, and tension. Therefore, this derived asymptotic closed form solution and the Green's function can be easily applied to find dynamic responses for various kind of beam vibration problems.

• 대한기계학회논문집A
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• 제24권9호
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• pp.2191-2201
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• 2000

End effects due to sectional deformations of thin-walled beams with closed cross section are analysed by a one-dimensional theory. In particular, end effects associated with warping (out of plane m otion) and distortion (in plane motion) are investigated. The exact solutions as a vector form are newly derived to reveal slowly-decaying nature of the end effects in a thin-walled beam loaded by a couple. Several examples of thin-walled beams under various loading conditions indicate that the local end effect zone due to warping and distortion is approximately ten times the typical beam width.

• Composites Research
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• 제30권6호
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• pp.343-349
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• 2017

A multifield variational formulation is developed for the finite element (FE) cross-sectional analysis of composite beams. The cross-sectional warping displacements and sectional stresses are considered to be the primary variables through the application of Reissner's partially mixed principle. The warping displacements are modeled using generic FE shape functions with nonlinear distribution over the beam section. A generalized Timoshenko level stiffness matrix is derived which incorporates the effects of elastic couplings, transverse shear, and Poisson's deformations. The accuracy of the present analysis is validated for the stiffness constants and elastostatic responses of composite box beams which correlate well with the experimental data and other state-of-the-art approaches.