• Title/Summary/Keyword: Critical span

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In-Plane Buckling of Prime and Quadratic Parabolic Arches with Fixed Ends (양단고정 Prime과 Quadratic 포물선 아치의 면내좌굴에 관한 연구)

  • 이병구;김종만
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.29 no.3
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    • pp.153-162
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    • 1987
  • A numerical procedure for the analysis of slender arch buckling problems for uniform dead weight is presented in this paper. Such loading changes in the arch profile. The problem is nonlinear. The numerical procedure is limited to an inextensible analysis and to elastic behavior. Based upon a numerical integration technique developed by Newmark for straight beams, a large deflection bending analysis is combined with small deflection buckling routines to formulate the numerical procedure. The numerical procedure is composed of a combination of the numerical integration and successive approximations procedure. The results obtained in this study are as follows : 1.The critical loads obtained in this study coincide with the results by Austin so that the algorithm developed in this study is verified. 2.The numerical results are converged with good precision when the half arch is divided into 10 segments in both Prime and Quadratic section. 3.The critical loads are decreased as the ratios of rise versus span are increased. 4.The critical loads are increased as the moments of inertia at the ends are increased. 5.The critical loads of Prime section are larger than that of Quadratic section under the same profile conditions.

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ESTIMATION ALGORITHM FOR PHYSICAL PARAMETERS IN A SHALLOW ARCH

  • Gutman, Semion;Ha, Junhong;Shon, Sudeok
    • Journal of the Korean Mathematical Society
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    • v.58 no.3
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    • pp.723-740
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    • 2021
  • Design and maintenance of large span roof structures require an analysis of their static and dynamic behavior depending on the physical parameters defining the structures. Therefore, it is highly desirable to estimate the parameters from observations of the system. In this paper we study the parameter estimation problem for damped shallow arches. We discuss both symmetric and non-symmetric shapes and loads, and provide theoretical and numerical studies of the model behavior. Our study of the behavior of such structures shows that it is greatly affected by the existence of critical parameters. A small change in such parameters causes a significant change in the model behavior. The presence of the critical parameters makes it challenging to obtain good estimation. We overcome this difficulty by presenting the Parameter Estimation Algorithm that identifies the unknown parameters sequentially. It is shown numerically that the algorithm achieves a successful parameter estimation for models defined by arbitrary parameters, including the critical ones.

Coupling effects between wind and train transit induced fatigue damage in suspension bridges

  • Petrini, Francesco;Olmati, Pierluigi;Bontempi, Franco
    • Structural Engineering and Mechanics
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    • v.70 no.3
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    • pp.311-324
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    • 2019
  • Long-span steel suspension bridges develop significant vibrations under the effect of external time-variable loadings because their slenderness. This causes significant stresses variations that could induce fatigue problems in critical components of the bridge. The research outcome presented in this paper includes a fatigue analysis of a long suspension bridge with 3300 meters central suspended span under wind action and train transit. Special focus is made on the counterintuitive interaction effects between train and wind loads in terms of fatigue damage accumulation in the hanger ropes. In fact the coupling of the two actions is shown to have positive effects for some hangers in terms of damage accumulation. Fatigue damage is evaluated using a linear accumulation model (Palmgren-Miner rule), analyses are carried out in time domain by a three-dimensional non-linear finite element model of the bridge. Rational explanation regarding the above-mentioned counterintuitive behavior is given on the basis of the stress time histories obtained for pertinent hangers under the effects of wind and train as acting separately or simultaneously. The interaction between wind and train traffic loads can be critical for a some hanger ropes therefore interaction phenomena within loads should be considered in the design.

Composite effects of circular concrete-filled steel tube columns under lateral shear load

  • Faxing Ding;Changbin Liao;Chang He;Wei Gao;Liping Wang;Fei Lyu;Yuanguang Qiu;Jianjun Yang
    • Computers and Concrete
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    • v.31 no.2
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    • pp.123-137
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    • 2023
  • To fully understand shear mechanisms and composite effects of circular concrete-filled steel tube (CFST) columns, systematic numerical investigations were conducted in this paper by improved finite element models. The triaxial plastic-damage constitutive model of the concrete and the interactions between the concrete and steel tube were considered. Afterwards, the critical and upper bound shear span ratios of the circular CFST column under lateral shear loading were determined. The composite effects between the two materials were analyzed by comparing the shear resistance with plain concrete column and hollow steel tube. In addition, a method that predicts the shear bearing capacity of a circular CFST column was proposed. The confining effects on the concrete core and the restraining effects on the steel tube were considered in this method. The proposed formula can predict more accurate results than the methods in different codes and references.

A Study on the Change of Critical Elements of the Design Evaluation during the last two Decades - Focused on Architectural Competition in Germany - (최근 20년간 디자인 평가항목 변천에 관한 연구 - 독일설계경기를 중심으로 -)

  • Cho, Ja-Yeon
    • Korean Institute of Interior Design Journal
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    • v.20 no.2
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    • pp.3-9
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    • 2011
  • In this study, the change of critical elements of the design evaluation was investigated during two decades at the architectural competition which was held nationwide in Germany. Specifically, the periods of investigation span both from July 1989 to June 1990 and from July 2009 to June 2010. The results of the analysis show that the cost of construction, the maintenance cost, the design of facade and the energy conservation are being magnified for the new important elements. The images of buildings and the economic aspects are meant to be high. The frequency of the critical elements for interior spaces is approximately two times more important than those for the forms and outdoor spaces. Overall, many juries of the architectural competition in Germany were interested in the elements for interior spaces. The field of function accounts for roughly the half of four basic architectural fields such as function, others, aesthetic and construction fields. The critical elements are required persistently such as context, Circulation, organization of space, form, landscape and outdoor space design, arrangement of building, cost of construction, function, design of facade, location of main entrance. These items are regarded as the most important elements of the design evaluation at the competition. Knowing the change of critical elements of the design evaluation, we can understand the trend of architecture in Germany. The results of this study can be applied in Korea to develop the critical elements of design.

Evaluating the Stability of Large-scale Gangways Mined in a Limestone Mine Using Rock Classification Schemes (암반분류법을 이용한 석회석 광산 내 대규격 갱도의 안정성 평가)

  • Yoon, Yong-Kyun;Lee, Hong-Woo
    • Tunnel and Underground Space
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    • v.17 no.6
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    • pp.503-510
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    • 2007
  • Rock classification schemes such as RMR, Q-system were applied to investigate the stability of large-scale gangways mined in a limestone mine. 22 areas for engineering geological surveys were selected and rock classifications at each survey point had been carried out. Considering the fact that the observed gangways have not experienced some severe failure and have been stably maintained till now, it is found that Q-system is more reasonable than RMR in evaluating the stability of unsupported span. Also, extended Mathews stability graph method which is a kind of revised Q-system was used to assess the stability of gangways and the results represent that all gangways except for one area are under stable condition. Based on above the mentioned results, the empirical equations to design the maximum unsupported span and critical height of a large-scale gangway are suggested.

Stability Assessment of Abandoned Gangway for Commercial Utilization of Services (서비스업 활용을 위한 광산 폐갱도의 안정성 평가)

  • SunWoo, Choon;Chung, So-Keul;Lee, Yun-Su;Kang, Sang-Soo;Kang, Jung-Seok
    • Tunnel and Underground Space
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    • v.22 no.5
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    • pp.297-309
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    • 2012
  • The stability assessment of abandoned gangway for the purpose of services was performed. Among the many factors that affect the stability of openings, the span of the opening in a given rock mass condition provides an important element of design. In this paper, the stability of gangway was assessed by the critical span curves proposed by Lang, the modified Mathews'stability graph method and using support measures of the Q system. In the evaluation of stability as a whole the gangway is considered as stable. But the rockfalls of wedge-shaped blocks were expected in the area in which the horizontal joints of low angle appear. The support measures such as local rock bolts are required to use for commercial purposes of the abandoned gangway. And entrance section may require the particular attention as unstable section. Since there are so many spalling due to bad blasting in the roof and sidewall of gangway, the scaling operations should be followed primarily.

Proposal of the Unsupported Span of Openings in the Domestic Underground Limestone Mines (국내 지하 석회석광산 갱도의 무지보 폭을 위한 제안)

  • SUNWOO, Choon
    • Tunnel and Underground Space
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    • v.28 no.4
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    • pp.358-371
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    • 2018
  • The stability of openings in the underground mine is major concern in the operation of mines that must ensure productivity and safety. Among many rock conditions affecting cavities stability, the width and height of the opening is an important design factor. In this paper, we consider to determine the maximum unsupported span of a opening in a limestone mine by using the Q system among several rock classification schemes. In order to determine the span of the unsupported opening in the limestone mine, rock mass classifications were carried out at over 200 sites in the underground limestone mines. The relationships by using the Q system and the stability graph proposed by Mathews to determine the maximum span of the unsupported opening were derived and compared. We propose a new classification method that combines GSI and RMR rock classification systems to make it easy to use in a field.

Nonlinear dynamic performance of long-span cable-stayed bridge under traffic and wind

  • Han, Wanshui;Ma, Lin;Cai, C.S.;Chen, Suren;Wu, Jun
    • Wind and Structures
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    • v.20 no.2
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    • pp.249-274
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    • 2015
  • Long-span cable-stayed bridges exhibit some features which are more critical than typical long span bridges such as geometric and aerodynamic nonlinearities, higher probability of the presence of multiple vehicles on the bridge, and more significant influence of wind loads acting on the ultra high pylon and super long cables. A three-dimensional nonlinear fully-coupled analytical model is developed in this study to improve the dynamic performance prediction of long cable-stayed bridges under combined traffic and wind loads. The modified spectral representation method is introduced to simulate the fluctuating wind field of all the components of the whole bridge simultaneously with high accuracy and efficiency. Then, the aerostatic and aerodynamic wind forces acting on the whole bridge including the bridge deck, pylon, cables and even piers are all derived. The cellular automation method is applied to simulate the stochastic traffic flow which can reflect the real traffic properties on the long span bridge such as lane changing, acceleration, or deceleration. The dynamic interaction between vehicles and the bridge depends on both the geometrical and mechanical relationships between the wheels of vehicles and the contact points on the bridge deck. Nonlinear properties such as geometric nonlinearity and aerodynamic nonlinearity are fully considered. The equations of motion of the coupled wind-traffic-bridge system are derived and solved with a nonlinear separate iteration method which can considerably improve the calculation efficiency. A long cable-stayed bridge, Sutong Bridge across the Yangze River in China, is selected as a numerical example to demonstrate the dynamic interaction of the coupled system. The influences of the whole bridge wind field as well as the geometric and aerodynamic nonlinearities on the responses of the wind-traffic-bridge system are discussed.

Elastic Critical Load and Effective Length Factors of Continuous Compression Member by Beam Analogy Method

  • Lee, Soo-Gon;Kim, Soon-Chul
    • Architectural research
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    • v.2 no.1
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    • pp.47-54
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    • 2000
  • The critical load of a continuous compression member was determined by the beam-analogy method. The proposed method utilizes the stress-analysis results of the analogous continuous beam, where imaginary concentrated lateral load changing its direction is applied at each midspan. The proposed method gives a lower bound error of critical load and can predict the span that buckles first. The effective length factors for braced frame columns can be easily determined by the present method, but result in the upper bound errors in all cases, which can lead to a conservative structural design.

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