• Title/Summary/Keyword: Maximum deflection

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Large deflection analysis of point supported super-elliptical plates

  • Altekin, Murat
    • Structural Engineering and Mechanics
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    • v.51 no.2
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    • pp.333-347
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    • 2014
  • Nonlinear bending of super-elliptical plates of uniform thickness under uniform transverse pressure was investigated by the Ritz method. The material was assumed to be homogeneous and isotropic. The contribution of the boundary conditions at the point supports was introduced by the Lagrange multipliers. The solution was obtained by the Newton-Raphson method. The influence of the location of the point supports on the central deflection was highlighted by sensitivity analysis. An approximate relationship between the central deflection and the super-elliptical power was obtained using the method of least squares. The critical points where the maximum deflection may develop, and the influence of nonlinearity were highlighted. The nonlinearity was found to be sensitive to the aspect ratio. The accuracy of the algorithm was validated by comparing the central deflection with the solutions of elliptical and rectangular plates.

A Study on the Deflection of the Rectangular Plates with the Rectangular Rigid Body with respect to the Boundary Conditions (사각형 강체를 포함한 사각평판의 경계조건에 따른 처짐 연구)

  • 한근조;안찬우;김태형;심재준;한동섭;안성찬
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.3
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    • pp.172-177
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    • 2003
  • This paper investigates the effect of reinforced plate on the deflection of the rectangular plate, when the rectangular plate is reinforced with rectangular rigid body at the centroid of the plate. For two boundary conditions such as simple supported and clamped boundary This study derives deflection formula of reinforced plates with three kinds of the aspect ratio of a rectangular plate with respect to the elastic modulus ratio and the length ratio of rigid body using the least square method. The results are as follows: 1. As the elastic modulus ratio r$_{e}$$\geq$ 1000, the maximum deflection with respect to the length ratio r$_{1}$ converges into constant value. 2. Deflection formula with respect to the length ratio r$_{1}$ is derived as the third order polynomial.l.

Effects of new construction technology on performance of ultralong steel sheet pile cofferdams under tidal action

  • Li, Ping;Sun, Xinfei;Chen, Junjun;Shi, Jiangwei
    • Geomechanics and Engineering
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    • v.27 no.6
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    • pp.561-571
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    • 2021
  • Cofferdams made of teel sheet piles are commonly utilized as support structures for excavation of sea-crossing bridge foundations. As cofferdams are often subject to tide variation, it is imperative to consider potential effects of tide on stability and serviceability of sheet piles, particularly, ultralong steel sheet piles (USSPs). In this study, a real USSP cofferdam constructed using new construction technology in Nanxi River was reported. The design of key parts of USSP cofferdam in the presence of tidal action was first introduced followed by the description of entire construction technology and associated monitoring results. Subsequently, a three-dimensional finite-element model corresponding to all construction steps was established to back-analyze measured deflection of USSPs. Finally, a series of parametric studies was carried out to investigate effects of tide level, soil parameters, support stiffness and construction sequence on lateral deflection of USSPs. Monitoring results indicate that the maximum deflection during construction occurred near the riverbed. In addition, measured stress of USSPs showed that stability of USSP cofferdam strengthened as construction stages proceeded. Moreover, the numerical back-analysis demonstrated that the USSP cofferdam fulfilled the safety requirements for construction under tidal action. The maximum deflection of USSPs subject to high tide was only 13.57 mm at a depth of -4 m. Sensitivity analyses results showed that the design of USSP cofferdam system must be further improved for construction in cohesionless soils. Furthermore, the 5th strut level before concreting played an indispensable role in controlling lateral deflection of USSPs. It was also observed that pumping out water before concreting base slab could greatly simplify and benefit construction program. On the other hand, the simplification in construction procedures could induce seepage inside the cofferdam, which additionally increased the deflection of USSPs by 10 mm on average.

A Design of Pressure Sensor for Improving Linearity at Low Pressure Range (저압에서의 선형성을 향상시키기 위한 압력센서의 설계)

  • Lee, Bo-Na;Lee, Moon-Key
    • Journal of Sensor Science and Technology
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    • v.5 no.2
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    • pp.1-8
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    • 1996
  • In this paper, We have designed silicon pressure sensor with center-bossed diaphragm which improving sensitivity and linearity by reducing diaphragm deflection. Designed center-bossed pressure sensor showed maximum deflection of $0.125{\mu}m$, maximum stress of $2.24{\times}10^7 Pa$ and sensitivity of 27.67 mV/V.psii. As a result, diaphragm deflection was reduced to 1/160 that of diaphragm thickness and 1/35 that of square diaphragm. Also, sensitivity was increased 19 times compared to square diaphragm.

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Dynamic characteristics of a simple beam subjected to prebending moments and moving loads with constant velocity (이동하중이 일정속도로 작용하는 단순보에서 prebending moment에 의한 동적특성)

  • 강진선;김찬묵
    • Journal of the korean Society of Automotive Engineers
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    • v.3 no.1
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    • pp.54-60
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    • 1981
  • This paper presents the dynamic behaviour of a simple beam subjected to moving loads and prebending moments. The velocity of the moving loads is assumed constant, and the prebending moment is assumed to be M. The fundamental equation of motion of the beam is derived from the principle of virtual works and solved by using Duhamel's Integral. In this paper we found that the dimensionless deflection at the middle of beam was related with prebending moment(M), velocity(V) and magnitude of the moving load(F) ; that is y/y$_{0}$=1/1-.betha.$^{2}$-.pi.M/Fl The faster the velocity becomes, the deeper the maximum deflection becomes. And the maximum deflection at the middle of beam was occurred after the moving load passed the midpoint of beam.

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A multivariate adaptive regression splines model for estimation of maximum wall deflections induced by braced excavation

  • Xiang, Yuzhou;Goh, Anthony Teck Chee;Zhang, Wengang;Zhang, Runhong
    • Geomechanics and Engineering
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    • v.14 no.4
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    • pp.315-324
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    • 2018
  • With rapid economic growth, numerous deep excavation projects for high-rise buildings and subway transportation networks have been constructed in the past two decades. Deep excavations particularly in thick deposits of soft clay may cause excessive ground movements and thus result in potential damage to adjacent buildings and supporting utilities. Extensive plane strain finite element analyses considering small strain effect have been carried out to examine the wall deflections for excavations in soft clay deposits supported by diaphragm walls and bracings. The excavation geometrical parameters, soil strength and stiffness properties, soil unit weight, the strut stiffness and wall stiffness were varied to study the wall deflection behaviour. Based on these results, a multivariate adaptive regression splines model was developed for estimating the maximum wall deflection. Parametric analyses were also performed to investigate the influence of the various design variables on wall deflections.

Deflections and rotations in rectangular beams with straight haunches under uniformly distributed load considering the shear deformations

  • Barquero-Cabrero, Jose Daniel;Luevanos-Rojas, Arnulfo;Lopez-Chavarria, Sandra;Medina-Elizondo, Manuel;Velazquez-Santillan, Francisco;Sandoval-Rivas, Ricardo
    • Smart Structures and Systems
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    • v.22 no.6
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    • pp.689-697
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    • 2018
  • This paper presents a model of the elastic curve for rectangular beams with straight haunches under uniformly distributed load and moments in the ends considering the bending and shear deformations (Timoshenko Theory) to obtain the deflections and rotations on the beam, which is the main part of this research. The traditional model of the elastic curve for rectangular beams under uniformly distributed load considers only the bending deformations (Euler-Bernoulli Theory). Also, a comparison is made between the proposed and traditional model of simply supported beams with respect to the rotations in two supports and the maximum deflection of the beam. Also, another comparison is made for beams fixed at both ends with respect to the moments and reactions in the support A, and the maximum deflection of the beam. Results show that the proposed model is greater for simply supported beams in the maximum deflection and the traditional model is greater for beams fixed at both ends in the maximum deflection. Then, the proposed model is more appropriate and safe with respect the traditional model for structural analysis, because the shear forces and bending moments are present in any type of structure and the bending and shear deformations appear.

Crack and Deformation Behaviors of Steel Fiber Reinforced Concrete Slab Model Specimens Using Domestic Steel Fiber (국내 강섬유를 사용한 강섬유보강 콘크리트 슬래브 모델의 균열 및 변형특성)

  • 박승범;홍석주;이봉춘;조춘근
    • Proceedings of the Korea Concrete Institute Conference
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    • 1999.04a
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    • pp.319-324
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    • 1999
  • This study is to investigate the properties on the load-deflection and fracture behaviors of the steel fiber reinforced concrete(SFRC) slab model specimens, Steel fibers of indent, crimp, and end hook shape were considered to reinforce the matrix under various mixing conditions and proportions. Initial cracking load, maximum load, and energy absorption capacity(load carrying capacity) of SFRC panel specimen increased with increase of steel fiber contents. And the plain concrete slab was fractured abruptly after maximum load but SRFC slabs were fractured smoothly by steel fibers in concrete matrix operated as cracking resistance force after maximum load. Indent, crimp and end hook shape steel fibers were effective in reinforcing the matrices but end hook type fiber were superior to indent and crimp type fibers.

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Dynamic Responses Characteristics of Steel Box Railway Bridges Subjected to Train Loading (열차주행에 따른 강박스 철도교의 동적응답특성)

  • Park, Sun-Joon;Kang, Sung-Hoo;Jo, Eun-Pyung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2009.10a
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    • pp.772-778
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    • 2009
  • By rising the interests of the railroad, It has been required the research about railroad structure. And since 2000, the study about railway bridges caused by steel box railway bridges has been only 0.2%. So I was hard to find out about steel box railway bridges. In this study, I evaluate and analyze 4 types(KTX, Saemaeul, Mugunghwa, Freight) of dynamic caused by train loading, natural frequency and damping ratio, verticality deflection and verticality acceleration, end slope deflection, impact factor for dynamic characteristics analysis. natural frequency was measured 2.45Hz~3.34Hz and damping ratio revealed for 1.26~2.84%. Maximum verticality deflection(4.86mm) was sufficiently satisfied the design criteria(30.1mm), but in the case of verticality acceleration's respond, design criteria BRDM(Bridge Design Manual) & CTRL presentation derive rail limit value 0.35g be more than value 6 time recorded, maximum was measured 0.49g in 3 kinds of train(KTX, Saemaeul, Mugunghwa), except for Freight. Survey impact factor of Experiment bridge was 0.20 which is measured when the KTX(15:04) was driving. impact factor is enough contended with design criteria 0.29 which is presented in domestic railway design criteria and thoroughly guarantee the dynamic stability.

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A Study on Variation of Impact Factors of Simple and Continuous Steel Highway Bridges (단순 및 연속 강도로교의 충격계수 변화에 관한 연구)

  • 장동일;이희현
    • Computational Structural Engineering
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    • v.1 no.1
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    • pp.123-133
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    • 1988
  • A method to calculate maximum dynamic deflection, which is close to the measured deflection, was proposed by comparing the real deflection with the claculated one in three span continuous highway steel bridge. From this, the pattern of variation of impact factors depending an vehicle speeds and weights was studied in simple and continuous bridges. From the numerical analysis, it was known that the maximum dynamic deflection which is close to the measured one could be obtained by using the transformed flexural rigidity of a bridge, and the factors are generally increased with increasing vehicle speed. However, it was thought that there are some problems in the code specification about the impact factors of the continuous bridges.

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