• Title/Summary/Keyword: beam deflection

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Theoretical and experimental study on deflection of steel-concrete composite truss beams

  • Wang, Junli;Li, Tian;Luo, Lisheng
    • Steel and Composite Structures
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    • v.29 no.1
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    • pp.91-106
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    • 2018
  • This paper investigates the deflection of the steel-concrete composite truss beam (SCCTB) at the serviceability limit state. A precise solution for the distributed uplift force of the SCCTB, considering five different loading types, is first derived based on the differential and equilibrium equations. Furthermore, its approximate solution is proposed for practical applications. Subsequently, the shear slip effect corresponding to the shear stiffness of the stub connectors, uplift effect corresponding to the axial stiffness of the stub connectors and shear effect corresponding to the brace deformation of the steel truss are considered in the derivation of deflection. Formulae for estimating the SCCTB deflection are proposed. Moreover, based on the proposed formulae, a practical design method is developed to provide an effective and convenient tool for designers to estimate the SCCTB deflection. Flexure tests are carried out on three SCCTBs. It is observed that the SCCTB stiffness and ultimate load increase with an increase in the shear interaction factor. Finally, the reliability of the practical design method is accurately verified based on the available experimental results.

Dynamic Behavior of a Timoshenko Beam with a Crack and Moving Masses (크랙과 이동질량을 가진 티모센코 보의 진동특성)

  • 안성진;손인수;윤한익
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.799-804
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    • 2004
  • In this paper a dynamic behavior of simply supported cracked simply supported beam with the moving masses is presented. Based on the Timoshenko beam theory, the equation of motion can be constructed by using the Lagrange's equation. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments i.e. the crack is modelled as a rotational spring. This flexibility matrix defines the relationship between the displacements and forces across the crack section and is derived by applying fundamental fracture mechanics the of. And the crack is assumed to be in th first mode of fracture. As the depth of the crack and velocity of fluid are increased the mid-span deflection of the pipe conveying fluid with the moving mass is increased. As depth of the crack is increased, the effect that the velocity of the fluid on the mid-span deflection appeals more greatly.

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Active Vibration Suppression of a Flexible Structure Using Sliding Mode Control

  • Itik Mehmet;Salamci Metin U.
    • Journal of Mechanical Science and Technology
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    • v.20 no.8
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    • pp.1149-1158
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    • 2006
  • In this paper, sliding mode control (SMC) is designed and applied to an elastic structure to suppress some of its vibration modes. The system is an elastic beam clamped on one end and the designed controller uses only the deflection measurement of the free end. The infinite dimensional mathematical model of the beam is reduced to an ordinary differential equation set to represent the behavior of required modes. Since the states of the finite dimensional model are not physically measurable quantities, an observer is designed to estimate these states by measuring the tip deflection of the beam. The performance of the observer is important because the observed states are used in the SMC design. In this study, by using the output information, an observer is designed and tested to estimate the states of the finite dimensional model of the beam. Then the designed SMC is applied to the experimental beam system which gives satisfactory suppressed vibrations.

Aeroelastic Analysis of Bearingless Rotor Systems in Hover and Forward Flight (무 베어링 로터 시스템의 정지 및 전진 비행시 공력탄성학적 해석)

  • Lim, In-Gyu;Lee, In
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.6
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    • pp.503-508
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    • 2007
  • In this study, the aeroelastic response and stability of bearingless rotors are investigated using a large deflection beam theory. The outboard main blade, flexbeam, and torque tube are all assumed to be an elastic beam undergoing arbitrary large displacements and rotations. The finite element equations of motion obtained from Hamilton's principle. Two-dimensional quasi-steady strip theory is used to evaluate aerodynamic forces. In hover, the modal approach method based on coupled rotating natural modes is used for the stability analysis. In forward flight, the nonlinear periodic blade steady response is obtained by integrating the full finite element equation in time through a coupled trim procedure with a vehicle trim. The results of the full finite element analysis using the large deflection beam theory are compared with those of a previously published modal analysis using the moderate deflection-type beam theory.

Reliability of panoramic radiography in predicting proximity of third molars to the mandibular canal: A comparison using cone-beam computed tomography

  • Nunes, Willy James Porto;Vieira, Aline Lisboa;de Abreu Guimaraes, Leticia Drumond;de Alcantara, Carlos Eduardo Pinto;Verner, Francielle Silvestre;de Carvalho, Matheus Furtado
    • Imaging Science in Dentistry
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    • v.51 no.1
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    • pp.9-16
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    • 2021
  • Purpose: The purpose of this study was to analyze the reliability of 7 panoramic radiographic signs for predicting proximity of the root apices of mandibular third molars to the mandibular canal using cone-beam computed tomography and to correlate these findings with the Pell and Gregory and the Winter classification systems. Materials and Methods: An observational, cross-sectional, descriptive study was conducted on 74 patients with bilateral impacted mandibular third molars. Four panoramic radiographic signs were observed in the tooth root (darkening, deflection, and narrowing of the root apices, and bifid apices), and another 3 in the mandibular canal (diversion, narrowing, and interruption of the mandibular canal). Cone-beam computed tomography images were analyzed to identify disruption and diversion of the mandibular canal and root deflection. Results: Binary logistic regression showed that only 4 of the 7 panoramic radiographic signs were able to predict proximity of the root apices of the mandibular third molars to the mandibular canal: darkening of the root, deflection of the root, narrowing of the root, and interruption of the mandibular canal(P<0.05). Conclusion: Darkening, deflection, and narrowing of the root, in tandem with the interruption of the mandibular canal on panoramic radiographs, indicate that cone-beam computed tomography should be performed when planning the extraction of impacted mandibular third molars. Proximity between mandibular third molars and the mandibular canal is correlated with the Winter classification.

Correlation Between Crack Widths and Deflection in Reinforced Concrete Beams (철근콘크리트 보의 균열 폭과 처짐 관계)

  • Kang, Ju-Oh;Kim, Kang-Su;Lee, Deuck-Hang;Lee, Seung-Bea
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.14 no.2
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    • pp.184-192
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    • 2010
  • The member deflection is one of the most important considerations for the serviceability evaluation of reinforced concrete (RC) structures, and the concept of the effective moment of inertia has been generally used for its estimation. However, the actual service load applied on an existing RC beam may not be easily obtained, for which the estimation of beam deflection by existing methods can be difficult to obtain. Therefore, based on the correlation between cracks and deflection in a RC beam, this study proposed a method to estimate the deflection of RC beams directly from the condition of cracks not using the actual loads acting on the member as its input data. The proposed method extensively utilized the relationships among sums of crack widths, average strains, and curvatures, and modification factors obtained from regression analysis were also introduced to improve its accuracy. The deflections of members were successfully estimated by the proposed method independent from applied loads, which was also easy to apply compared to the existing methods based on the effective moment of inertia.

Flexural Strength of Dual Concrete Beams Composed of Fiber Reinforced Concrete and Normal Concrete (섬유보강 콘크리트와 보통콘크리트로 합성된 이중 콘크리트 보의 휨 강도)

  • 박대효;부준성;조백순
    • Proceedings of the Korea Concrete Institute Conference
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    • 2001.11a
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    • pp.579-584
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    • 2001
  • The reinforced concrete(RC) beam is developed cracks because the compression strength of concrete is strong but the tensile strength is weak. The structural strength and stiffness is decreased by reduction of tension resistance capacity of concrete due to the developed cracks. Using the fiber reinforced concrete that is increased the flexural strength and tensile strength at tensile part can enhance the strength and stiffness of concrete structure and decrease the tensile flexural cracks and deflection. Therefore, The reinforced concrete used the fiber reinforced concrete at tensile part ensure the safety and serviceability of the concrete structures. In this study, analytical model of a dual concrete beam that is composed of the normal strength concrete at compression part and the high tensile strength concrete at tensile part is developed by using the equilibrium condition of forces and compatibility condition of strains and is parted into elastic analytical model and ultimate analytical model. Three group of test beam that is formed of one reinforced concrete beam and two dual concrete beams for each steel reinforcement ratio is tested to examine the flexural behavior of dual concrete beams. The comparative study of total nine test beams is shown that the ultimate load of a dual concrete beams relative to the reinforced concrete beams have an increase in approximately 30%. In addition, the initial flexural rigidity, as used here, refer to the slope of load-deflection curves in elastic state is increased and the deflection is decreased.

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An Experimental Study on the Behavior of the T-type Steel Composite Beam (단순지지 T형 합성보의 휨거동에 관한 실험적 연구)

  • Kim, Sang Seup;Kim, Sang Mo;Kim, Sung Bae;Seo, Dong Gee;Kim, Kyu Suk
    • Journal of Korean Society of Steel Construction
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    • v.16 no.2 s.69
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    • pp.225-233
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    • 2004
  • Composite action is generally achieved by providing shear connections between steel top flange and concrete topping. Composite sections have greater stiffness than the summation of the individual stiffness of slab and beam. Therefore, they can carry larger loads or similar loads with appreciably smaller deflection and are less prone to transient vibration. T-type Steel Composite beam (TSC-beam) was developed to increase these advantages. Ten specimens were tested for this study. During the experiment, crack pattern and deflection of beam were investigated. The examined results of TSC beam system were compared with results from the typical composite beam and RC beam.

Study on the evaporation of high melting temperature metal by using the manufactured electron hem gun system (전자총 시스템 제작과 이를 이용한 고융점 금속 증발에 관한 연구)

  • 정의창;노시표;김철중
    • Journal of the Korean Vacuum Society
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    • v.12 no.1
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    • pp.1-6
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    • 2003
  • An axial electron beam gun system, which emits the electron beam power of 50 kW, has been manufactured. The electron beam gun consists of two parts. One is the electron beam generation part. including the filament, cathode, and anode. The maximum beam current is 2 A and the acceleration voltage is 25 kV. The other part includes the focusing-, deflection-, and scanning coils. The beam diameter and ham trajectory can be controlled by these coils. The characteristic of each part is measured ior the optimum condition of evaporation process. Moreover, Helmholtz coil is installed inside the vacuum chamber to adjust the incident angel of the beam to the melting surface for the maximum evaporation. We report on the evaporation rates for zirconium(Zr) and gadolinium(Gd) metals which have the high melting temperatures.