• Steel and Composite Structures
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• 제11권6호
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• pp.489-504
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• 2011

This paper presents a theoretical investigation in free vibration of sigmoid functionally graded beams with variable cross-section by using Bernoulli-Euler beam theory. The mechanical properties are assumed to vary continuously through the thickness of the beam, and obey a two power law of the volume fraction of the constituents. Governing equation is reduced to an ordinary differential equation in spatial coordinate for a family of cross-section geometries with exponentially varying width. Analytical solutions of the vibration of the S-FGM beam are obtained for three different types of boundary conditions associated with simply supported, clamped and free ends. Results show that, all other parameters remaining the same, the natural frequencies of S-FGM beams are always proportional to those of homogeneous isotropic beams. Therefore, one can predict the behaviour of S-FGM beams knowing that of similar homogeneous beams.

• 한국해양공학회지
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• 제18권2호
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• pp.46-51
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• 2004

Natural frequencies of the transverse vibration of beams with step change in cross-section are obtained by using the asymptotic closed form solution. This closed form solution is found by using WKB method under the assumption of slowly varying properties, such as mass, cross-section, tension etc., along the beam length. However, this solution is found to be still very accurate even in the case of large variation in cross-section and tension. Therefore, this result can be easily applied to many engineering problems.

• Structural Engineering and Mechanics
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• 제8권5호
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• pp.465-476
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• 1999

A structural optimization process is presented for arches with varying cross-section. The optimality criteria method is used to develop a recursive relationship for the design variables considering displacement, stresses and minimum depth constraints. The depth at the crown and at the support are taken as design variables first. Then the approach is extended by taking the depth values of each joint as design variable. The curved beam element of constant cross section is used to model the parabolic and circular arches with varying cross section. A number of design examples are presented to demonstrate the application of the method.

• Structural Engineering and Mechanics
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• 제85권4호
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• pp.563-571
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• 2023

Girdling underpinning joints are key areas of concern for the pier-cutting bridge-lifting process. In this study, five specimens of an underpinning joint were prepared by varying the cross-sectional shape of the respective column, the process used to treat the beam-column interface (BCI), and the casting process. These specimens were subsequently analyzed through static failure tests. The BCI was found to be the weakest area of the joint, and the specimens containing a BCI underwent punching shear failure. The top of the girdling beam (GB) was subjected to a circumferential tensile force during slippage failure. Compared to the specimens with a smooth BCI, the specimens subjected to chiseling exhibited more pronounced circumferential compression at the BCI, which in turn considerably increased the shear capacity of the BCI and the ductility of the structure. The GB for the specimens containing a column with a circular cross-section exhibited better shear mechanical properties than the GB of other specimens. The BCI in specimens containing a column with a circular cross-section was more ductile during failure than that in specimens containing a column with a square cross-section.

• 한국해양공학회:학술대회논문집
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• 한국해양공학회 2003년도 추계학술대회 논문집
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• pp.152-157
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• 2003

Natural frequencies of the transνerse vibration of beams with step change in cross-section are obtained by using the asymptotic closed form solution. This closed form solution is found by using WKB method under the assumption of slowly varying properties, such as mass, cross-section, tension etc., along the beam length. However, this solution is found to be still very accurate even in the case of large variation in cross-section and tension. Therefore, this result can be easily applied to many engineering problems.

• 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.

• Steel and Composite Structures
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• 제51권5호
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• pp.563-573
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• 2024

This research experimentally evaluated the local stress distribution along the cross-section of composite beams under both positive and negative moments. The experiment utilized a large-scale, two-story, two-by-three bay steel gravity frame with a concrete on metal deck floor system. The composite shear connections, which are nominally assumed to be pinned under gravity loading, can develop non-negligible moment-resisting capacity when subjected to lateral loads. This paper discusses the local stress distribution, orshear lag effects, observed near the beam-to-column connections when subjected to combined gravity and lateral loading. Strain gauges were used for measurements along the beam depth at varying distances from the connection. The experimental data showed amplified shear lag effects near the unconnected region of the beam web and bottom flange under the applied loading conditions. These results indicate that strain does not vary linearly across the beam cross-section adjacent to the connection components. This insight has implications for the use of experimental strain gauge data in estimating beam demands near the connections. These findings can be beneficial in informing instrumentation plans for future experimental studies on composite beams.

• 한국전산구조공학회논문집
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• 제22권5호
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• pp.453-462
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• 2009

미분구적법을 이용하여 전단변형을 고려하지 않은 단면적이 변하는 곡선 보의 면내 자유진동을 해석하였다. 다양한 경계조건 및 굽힘 각에 따른 진동수를 계산하였고, 그 결과를 다른 수치해석들과 비교하였다. 미분구적법은 비교적 적은 요소를 사용하고도 정확한 해석결과를 보여주었고, 수정된 결과를 추가적으로 제시하였다.

• 한국지반공학회논문집
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• 제25권4호
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• pp.69-75
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• 2009

본 연구에서는 수평하중을 받는 파일벤트(pile-bent) 구조의 변단면에 따른 거동특성을 분석하기 위하여 beam-column 모델을 적용하여 수평변위 및 모멘트, 부재력(응력)을 단일단면 파일벤트 구조의 수평거동과 비교하였다. 분석결과 지표면에서 변단면 파일벤트 구조의 수평변위량이 동일하중 재하시 단일형 파일벤트 구조의 수평변위량보다 커지는 경향을 보였으나, 동일지반, 동일하중조건의 경우에는 변단면 존재유무에 관계없이 최대휨모멘트 발생위치는 일정한 경향을 보였다. 또한 말뚝재료의 부재력 검토 결과 파일벤트 구조의 변단면 부분에서의 부재력이 최대침모멘트 발생 깊이에서의 부재력보다 큰 것으로 나타났다. 이는 일체형 말뚝의 구조적 특성으로 최대침모멘트 발생위치보다 변단면 부분의 단면축소로 인해 취약해지기 때문에 변단면 발생부분에 대한 보강이 필수적으로 요구됨을 알 수 있었다.

• 한국산학기술학회논문지
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• 제14권10호
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• pp.4706-4712
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• 2013

편미분방정식해법을 위한 효일적인 방법 중의 하나는 미분구적법이다. 이방법은 복잡한 구조 및 하중에 따른 컴퓨터 용량의 과도한 사용뿐만 아니라, 복합알고리즘의 어려움 피하기 위해 많은 분야에 적용되어 왔다. 본 연구에서는 내평면 등분포하중 하에서 단면적이 변하는 비대칭 곡선보의 좌굴 (buckling)을 미분구적법(DQM)으로 해석하였다. 다양한 단면적 변화와 열림각 (opening angle)에 따른 임계하중을 계산하였다. DQM의 해석결과는 정확한 수학적해법 (exact analytic solution)과 비교하였으며, DQM은 적은 격자점 (grid point)을 사용하여 정확한 해석결과를 보여주었다. 또한, 다양한 단면적 변화에 따른 새로운 결과를 제시하였다.