• Title/Summary/Keyword: Moment-deflection

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Nonlinear vibration of Timoshenko beam due to moving loads including the effects of weight and longitudinal inertia of beam

  • Wang, Rong-Tyai
    • Structural Engineering and Mechanics
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    • v.10 no.3
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    • pp.197-209
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    • 2000
  • The effects of weight and axial inertia of a beam are taken into account for studying the nonlinear vibration of the Timoshenko beam due to external loads. The combination of Galerkins method and Runge-Kutta method are employed to obtain the dynamic responses of the beam. A concentrated force and a two-axle vehicle traversing on the beam are taken as two examples to investigate the response characteristics of the beam. Results show that the effect of axial inertia of the beam increases the fundamental period of the beam. Further, both the dynamic deflection and the dynamic moment of the beam obtained with including the effect of axial inertia of the beam are greater than those of the beam without including that effect of the beam.

Stress of External Steel Rod in Post-Tensioned Concrete Beam (포스트텐션 콘크리트 보에서 비부착 외부강봉의 응력)

  • Lee, Swoo-Heon;Kang, Thomas H.K.;Shin, Kyung-Jae
    • Journal of Korean Association for Spatial Structures
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    • v.15 no.1
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    • pp.47-55
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    • 2015
  • This paper shows the simplified equation to predict the ultimate moment capacity and corresponding rod stress in reinforced concrete beam with external post-tensioning rods. Because the stress of external post-tensioning rod depends on the beam deflection, the previous analytical model for post-tensioned beams requires a tedious iteration process. Also, the stress equations in ACI code or other researchers' models are suitable only for internal tendons in concrete beams. In this study, given the lack of analytical approaches to predict the nominal stress of the external unbonded rod, a simple and robust equation has been proposed for externally post-tensioned concrete beams. It is concluded that the proposed equation predicted the stress of external steel rods in post-tensioned concrete beams reasonably well.

An Analytical Study on the Structural Behavior of Composite Beams (합성보의 거동에 관한 해석적 연구)

  • 황영서;양구록;송준엽;권영봉
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.175-182
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    • 1998
  • An analytical study to trace the nonlinear structural behavior of composite beams is undertaken to include the nonlinear material properties of steel sheeting, reinforcing steel bar and concrete. To trace Moment-curvature relations, sectioning analysis method and two simple formulas are developed. A simple power model which has been originally used to expect the flexural capacity of the beam to column connections is proposed and the second formula is composed of two experimental functions to express the Moment-curvature relation in the elastic and plastic range separately. The load-deflection behavior of the beams has been simulated by the step-by-step numerical integration method and is compared with the test results available.

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The Effect of Neglecting The Longitudinal Moment Terms on The Deflection of Laminated Plates with a Pair of Opposite Edges Simple Supported and The Other Pair of Opposite Edges Free (양단단순-타단자유 지지된 적층복합판의 처짐에 대한 종방향 모멘트 무시효과)

  • 김덕현;원치문;심도식;이원석
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.77-83
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    • 1998
  • The most of the design engineers for construction has academic background of bachelors degree. Theories for advanced composite structures are too difficult for such engineers and some simple but accurate enough methods are necessary. The senior author has reported that some laminate orientations have decreasing values of B$_{16}$, B$_{26}$, D$_{26}$, and D$_{26}$ stiffnesses as the ply number increases. Such plates above behave as special orthotropic plates and simple formulas developed by the senior author[1, 3] can be used. Most of the bridge and building slabs on girders have large aspect ratios. For such cases further simplification is possible by neglecting the effect of the longitudinal moment terms(M$_{x}$) on the relevant partial differential equations of equilibrium. In this paper, the result of the study on the subject problem is presented.ted.d.

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Structural Performance of Flexural Members Enlarged with Epoxy Mortar System at Soffit (변형에폭시계 재료를 사용한 하부증대 보의 구조적 성능)

  • 홍건호;조하나;신영수;정혜교
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.10b
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    • pp.833-838
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    • 1998
  • This paper is aimed to investigate structural performance of flexural members enlarged with epoxy mortar at soffit. Main test variables are steel ratio and interface treatment method and six test beams are tested to investigate the effect of each test variables on maximum load capacity, load-deflection and moment-curvature relationship, interface behavior and failure mode. Test results show that section enlarged beams can carry almost same load of the monolithic beams with same size and the flexural stiffness and cracking moments are increased about 2.5 times and 50 to 70%of failure moment in comparison with same sized control beam, respectively. However, deflections and curvatures are decreased at the same load and interface fractures are not discovered at the ultimate load.

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Study on the Ultimate Flexural Behavior Analysis of Prestressed Concrete Beam with External Unbonded Tendons (외적 비부착강선을 가진 프리스트레스트 콘크리트 보의 극한휨거동 해석)

  • 오병환;유성원;신정성
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.10b
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    • pp.662-667
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    • 1998
  • Recently, the using PSC with external unbonded tendons is increased. However, the behavior of external unbonded tendons is different with that of bonded internal tendon at ultimate state by compatibility condition, the slip with friction at deviator and the change of tendon eccentricity e.t.c., So, the analytical research considered the effect of these inherent characters was performed and the tendency of external unbonded tendons was estimated by numerical examples. By the analytical results, load-deflection relationship and stress increment of external unbonded tendons were similar to those of internal bonded tendon at initial elastic behavior state. Those characters were, however, smaller than those character of internal bonded tendons. For external unbonded tendons, if the 1 deviator which is positioned at maximum moment point and more 2 deviators which are position between maximum moment point and support are existed, the flexural behavior is similar to internal bonded tendons.

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Determination of Span Length Ratio in Bridges Constructed using a Free Cantilever Method (FCM 교량의 경간비(SLR) 결정)

  • 곽효경;손제국
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.259-266
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    • 2003
  • This paper introduces a relation to determine the span ratio between exterior and interior spans, which is strongly required in the preliminary design stage of bridges constructed by Free Cantilever Method (FCM). A relation for the initial tendon force is derived on the basis of an assumption that no vertical deflection occurs at the far end of a cantilever beam due to the balanced condition between the self-weight and the cantilever tendons. In advance, the span ratio can be determined by using an assumption that the negative maximum moment must be the same with the positive maximum moment along the entire spans to be a rational bridge design. Finally, many rigorous lime-dependent analyses are conducted to establish the validity of the introduced relations. The obtained numerical results show that the rational design of FCM bridges may be achieved when the span length ratio of the exterior span to the interior span ranges about 0.75 to 0.8.

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Optimum Alignment of Marine Engine Shaftings by the Finite Element Method (有限要素法에 의한 舶用機關軸系裝置의 最適配置에 關한 硏究)

  • Jeon, Hio-Jung;Park, Jin-Gil;Choi, Jae-Sung
    • Journal of Advanced Marine Engineering and Technology
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    • v.2 no.1
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    • pp.3-14
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    • 1978
  • The authors have developed a calculating method of propeller shaft alignment by the finite element method. The propeller shaft is divided into finite elements which can be treated as uniform section bars. For each element, the nodal point equation is derived from the stiffness matrix, the external force vector and the section force vector. Then the overall nodal point equation is derived from the element nodal point equation. The deflection, offset, bending moment and shearing force of each nodal point are calculated from the overall nodal point equation by the digital computer. Reactions and deflections of supporting points of straight shaft are calculated and also the reaction influence number is derived. With the reaction influence number the optimum alignment condition that satisfies all conditions is calculated by the simplex method of linear programming. All results of calculation are compared with those of Det norske Veritas, which has developed a computor program based on the three-moment theorem of the strength of materials. The authors finite element method has shown good results and will be used effectively to design the propeller shaft alignment.

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Control of cambered web's lateral dynamics by a using steering guider (가이더를 이용한 Cambered Web의 사행거동 제어에 관한 연구)

  • Lee, Hyuk-Jong;Shin, Kee-Hyun
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.688-693
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    • 2001
  • It is almost impossible to have a straight web for processing in the continuous process systems. The cambered web usually causes the strip walking and damage during process. It is necessary to identify the lateral dynamics of the cambered web for the precise control of lateral behavior. In this paper, a dynamic model of the lateral behavior for a cambered web is developed by introducing the concept of steering angle equivalent to moment caused by the camber. This model can be extended to include terms associated with moment, induced by roller's tilting, web slippage, and shear force, etc. Using this model, a new feed-forward controller is proposed to enable the on-line camber estimation, which is difficult to be measured directly, and the prediction of lateral deflection caused by camber. Computer simulation study shows that the proposed controller successfully eliminates the effect of camber and has better control performance than that of the existing PID controller.

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A Study on the Analysis of Overload of a Two-Span Continuous Bridige (2경간 연속교의 과재하중 해석방법에 관한 연구)

  • 한상철
    • Journal of the Korean Society of Safety
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    • v.8 no.1
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    • pp.47-53
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    • 1993
  • Residual Deformation Analysis(RDA) is a new method for ratings of the continuous bridges. The RDA makes it possible to expand the inelastic steel girder bridge design method set forth in the American Association of State Highway Officals'(AASHTO) Guide Specifications for Alternate Load Factor Design Procedures for Steel Beam Bridges Using Braced Compact Sections(1986) into an inelastic rating method. It is a method to assess the residual moments and deformations that are set up in a beam that has been loaded into the post-elastic range This method combines classical elastic conjugate beam theory with linear moment-rotation relationships for midspan inelastic positive moment. The limit state is inelastic serviceability limit. which is defined as the ratio of the span to midspan inelastic deflection(C=L/D).

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