• 대한토목학회논문집
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• 제29권2A호
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• pp.145-153
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• 2009

본 연구에서는 포물선 아치의 횡-비틂 좌굴 강도에 관한 연구를 수행하였다. 포물선 아치는 아치의 중립축을 따라 곡률이 변하므로 일정한 곡률을 갖는 원형 아치의 경우보다 횡-비틂 좌굴 강도식을 유도하는 것이 복잡하며, 이에 대한 연구가 미흡한 실정이다. 본 연구에서는 ?의 효과를 고려하여 변곡률을 갖는 아치의 횡-비틂 좌굴식을 유도하고 포물선 아치의 좌굴강도를 계산하기 위하여 유한차분법을 이용한 수치해법을 제안하였다. 이러한 수치해법은 기존 연구자 및 유한요소해석 결과와 비교하였으며, 그 타당성을 검증하였다. 마지막으로, 변수해석을 수행하여 라이즈비의 영향에 따른 원형과 포물선 아치의 횡-비틂 좌굴 강도를 비교 분석하였다.

• 한국농공학회지
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• 제44권3호
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• pp.92-100
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• 2002

The advent or high-strength steel has enabled the arch structures to be relatively light, durable and long-spanned by reducing the cross sectional area. On the other hand, the possibility of collapse may be increased due to the slender members which may cause the stability problems. The limit analysis to estimate the ultimate load is based on the concept of collapse mechanism that forms the plastic zone through the full transverse sections. So, it is not appropriate to apply it directly to the instability analysis of arch structures that are composed with compressive members. The objective of this study is to evaluate the ultimate load carrying capacity of the parabolic arch by using the elasto-plastic finite element model. As the rise to span ratio (h/L) varies from 0.0 to 0.5 with the increment of 0.05, the ultimate load has been calculated fur arch structures subjected to uniformly distributed vertical loads. Also, the disco-elasto-plastic analysis has been carried out to find the duration time until the behavior of arch begins to show the stable state when the estimated ultimate load is applied. It may be noted that the maximum ultimate lead of the parabolic arch occurs at h/L=0.2, and the appropriate ratio can be recommended between 0.2 and 0.3. Moreover, it is shown that the circular arch may be more suitable when the h/L ratio is less than 0.2, however, the parabolic arch can be suggested when the h/L ratio is greater than 0.3. The ultimate load carrying capacity of parabolic arch can be estimated by the well-known formula of kEI/L$^3$where the values of k have been reported in this study. In addition, there is no general tendency to obtain the duration time of arch structures subjected to the ultimate load in order to reach the steady state. Merely, it is observed that the duration time is the shortest when the h/L ratio is 0.1, and the longest when the h/L ratio is 0.2.

• 대한수학회지
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• 제44권3호
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• pp.707-717
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• 2007

Arches are constrained with rotational resistance at both edges. An energy method is used to derive variational formulation which is used to prove the existence of equilibrium states of elastic circular arches for the torsional spring constants ${\rho}-\;{\geq}\;0,\;{\rho}+\;{\geq}\;0,\;and\;{\rho}-\;+\;{\rho}+\;>\;0$. The boundary conditions are searched using the existence of minimum potential energy.

• 한국농공학회지
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• 제43권3호
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• pp.85-93
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• 2001

In this study, a computer program considering shape imperfections of arch under dynamic loading was developed. The shape imperfection of arch was assumed as higher degree polynomial expressed as $\omega$$_{i}$ = $\omega$$_{o}$ (1-(2$\chi$/L)$^{m}$ )$^n$and sinusoidal curve such as $\omega$$_{i}$ = $\omega$$_{o}$ sin(η$\pi$$\chi$/L). In finite element formulation, the material nonlinear behavior was assumed the elasto-viscoplastic model highly corresponding to the real behavior of the material and the geometrically nonlinear behavior was modeled using Lagrangian description of motion. Also, the behavior of steel was modeled by applying yield criteria of Von Mises. The developed program was applied to the analysis of the dynamic behavior for the clamped beam subjected to the concentrated load at midspan and the results were compared with those from other research to investigate accuracy of the presented finite element program. In numerical examples, the shape imperfections of L/500, L/1,000 and L/2,000 were considered and the modes of shape imperfections of the symmetric and antisymmetric were adopted. The effects of the shape imperfections on the dynamic behavior of arch were conspicuous and results of analysis indicate that the reasonable values of arch rise to arch span ratio ranged between 0.1 and 0.3.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2003년도 춘계학술대회논문집
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• pp.846-851
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• 2003

The differential equations governing free, in-plane vibrations of non-circular arches with non-uniform cross-section, including the effects of rotatory inertia, shear deformation and axial deformation, are derived and solved numerically to obtain frequencies. The lowest four natural frequencies are calculated for the prime parabolic arches with hinged-hinged, hinged-clamped, and clamped-clamped end constraints. Three general taper types for rectangular section are considered. A wide range of arch rise to span length ratios, slenderness ratios, and section ratios are considered. The agreement with results determined by means of a finite element method is good from an engineering viewpoint.

• 터널과지하공간
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• 제22권3호
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• pp.205-213
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• 2012

본 연구에서는 $30^{\circ}$ 경사진 층리면을 가진 이방성 암반내 위치한 쌍굴터널에서 터널간 이격거리와 터널 단면의 형상이 서로 다른 다섯 가지 모형에 대해 측압계수 2의 하중조건으로 축소모형실험을 실시하였다. 실험을 통해 모형별 균열개시압력과 터널 주변지반의 변형거동을 조사하였으며, 이 조건들이 터널의 안정성에 어떠한 영향을 미치는지를 알아보았다. 터널간 이격거리가 작은 모형일수록 필라에서는 층리면을 따른 전단파괴가 발생하였으며 낮은 압력수준에서 균열이 발생하여 터널의 안정성은 상대적으로 작은 것으로 평가되었다. 사심아치형, 원형, 반원아치형 터널 모형들에 대한 실험에서 반원아치형 터널이 가장 작은 균열개시압력을 보여 터널 안정성이 가장 작게 나타났으며, 원형 터널의 안정성이 가장 크게 나타났다. 또한, 사심아치형 터널의 변형거동은 원형 터널과 반원아치형 터널의 중간적인 형태를 나타내었으며 터널 안정성도 중간정도에 해당하였다. FLAC을 사용한 수치해석 결과는 모형실험의 결과와 정성적으로 부합하였다.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2004년도 춘계학술발표회
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• pp.425-432
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• 2004

In this paper, the results of the numerical analysis for the minimum depth of soil cover have been compared with those of currently suggested codes. Based on this comparison, the minimum depth of soil cover for the structures with long spans was suggested. Results showed that the actual depth of the soil cover required against soil failure over a circular and low-profile arch structure does not vary significantly with the size of the span and for the circular structure, the minimum depth of the soil cover was about 1.5m, and for the low-profile arch structures, below about 1.6m. And the previously established code in which the minimum depth of soil cover is defined to linearly increase with the increase in the span (CHBDC, 2001) was very conservative. For the structure with the relieving slab, the maximum live load thrust was reduced by about 36 percent and the maximum moment about 81 percent. The numerical analysis gave more conservative estimation of the live-load thrusts than the other design methods.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2007년도 춘계학술대회논문집
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• pp.1181-1184
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• 2007

이 논문에서는 단부가 힌지와 회전스프링으로 지지된 원호 아치의 면내 자유진동에 대한 지배 미분방정식을 수치해석하여 대상 구조에 대한 최저차 4개의 고유진동수 및 진동형을 산출하였다. 축변형, 회전관성 및 전단변형 효과를 고려한 지배방정식을 채택하였으며, 해석결과로서 아치 중심각, 세장비 및 단부의 회전스프링상수 변화에 따른 고유진동수 및 진동형의 변화를 고찰하였다.

• 한국농공학회논문집
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• 제60권2호
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• pp.85-93
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• 2018

This study investigated the structural behavior and field applicability of sandwich type GFRP arches with polymer mortar in core. As a result, in case of crack loading and failure loading, total strains at crown were the highest; the fracture strain at crown was 0.01690, which is 4.2 times greater than the fracture strain (0.004) of cement concrete. The 3 % deflection load was 17.42 kN, the flexural strength was $163.98{\times}10^{-3}GPa$, and the flexural elastic modulus was 11.884 GPa. From load-deflection relationship up to 3.5 % deflection, 3D analysis results and experimental values were observed to be almost identical. It was considered reasonable to set a deflection rate limit to be 3 % for structural safety purpose. The standard external flexural strength of semicircular arch used in this study was approximately 2.64 times higher than that of hume pipe (2 type standard) and tripled composite pipe. The external pressure strength at fracture was approximately 1.57 times higher than that of hume pipe. It was confirmed that the implementing semicircular arch had mechanically more advantage than the circular pipe. Optimum member thickness was 8~53 mm according to arch radius of 450~1,800 mm and cover depth of 2~10 m. It was found that the larger strength could be obtained even if the thickness of member was smaller than that of concrete structure. In field application study, figures and equations were derived for obtaining applicable cover depth and optimum member thickness according to loading conditions. These would be useful data for design and manufacture of sandwich type semicircular arch.

• 건축역사연구
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• 제18권2호
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• pp.7-26
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• 2009

The purpose of this paper is the study on the architectural characteristics revived from the roman architecture, focused on the early renaissance architecture building. The results of study are as follow: 1. The composition system of Domus which is formed of urban house in the Roman period is presented by spatial arrangement of palace architecture centering around atrium in the Renaissance period. Thus plan type of Domus is used by atrium from which is composed of peristyle from the palace and villa in the Renaissance period. 2. The circular temple in the Roman period is composed of element such as podium, stair, peristyle centering around the basic circular plan. Bramante planed to revive above elements for the Tempietto to concept from the circular temple in the Roman period. 3. The triumphal arch in the Roman period is strong monument to the independent building in the city, but thus arch is used of church facade as the important example which is composed with building elevation in the Renaissance period. 4. The composition system and element of Roman temple which is planned to rectangular plan is composed of high podium, stair, portico, prostyle and pediment. The facade plan of church is used by the partial elements and total elements perfectly from the temple in the Roman period. 5. The linearly successive and repetitive composition which is composition system and element of aqueduct arches of same dimension shows to the palace facade, arcade for gallery space and side elevation plan of S.Fracesco church. 6. Such as background of Colloseum, Rucellai palace can be called good example which is created by the new architectural form to the creative starting point from the classical architecture from.