• Title/Summary/Keyword: bending of a beam

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Study on the Bending Test of Glulam Beam Reinforced with GFRP Strips (복합재료로 보강된 집성보의 휨 실험에 대한 연구)

  • Kim, Young-Chan;Davalos, Julio F.
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.3 no.2
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    • pp.199-204
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    • 1999
  • A recent application of advanced composite materials, primarily fiber-reinforced plastic (FRP) composites, in structures is the reinforcement of conventional structural materials, such as concrete and glued-laminated timber (glulam), to increase their performance. In particular, the construction of large-scale glulam structures usually requires members with large depths and to significantly increase the stiffness and strength of glulam, the members can be reinforced with FRP at top and bottom surfaces. In this paper, glulam beams reinforced with GFRP strip are tested under 2-point bending and results are compared with numerical solution using layer-wise beam theory.

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On bending analysis of perforated microbeams including the microstructure effects

  • Abdelrahman, Alaa A.;Abd-El-Mottaleb, Hanaa E.;Eltaher, Mohamed A.
    • Structural Engineering and Mechanics
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    • v.76 no.6
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    • pp.765-779
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    • 2020
  • This article presents a nonclassical size dependent model based on the modified couple stress theory to study and analyze the bending behavior of perforated microbeams under different loading patterns. Modified equivalent material and geometrical parameters for perforated beam are presented. The modified couple stress theory with one material length scale parameter is adopted to incorporate the microstructure effect into the governing equations of perforated beam structure. The governing equilibrium equations of the perforated Timoshenko as well as the perforated Euler Bernoulli are developed based on the potential energy minimization principle. The Poisson's effect is included in the governing equilibrium equations. Regular square perforation configuration is considered. Based on Fourier series expansion, closed forms for the bending deflection and the rotational displacements are obtained for simply supported perforated microbeams. The proposed methodology is validated and compared with the available results in the literature and an excellent agreement is detected. Numerical results demonstrated the applicability of the proposed methodology to investigate the bending behavior of regularly squared perforated beams incorporating microstructure effect under different excitation patterns. The obtained results are significantly important for the design and production of perforated microbeam structures.

Bending Properties of ZnO Nanorod using Nano-Manipulator (나노조작기를 이용한 ZnO 나노막대 굽힘 물성 평가)

  • Jeon, Sang-Gu;Jang, Hoon-Sik;Kwon, Oh-Heon;Nahm, Seung-Hoon
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.260-263
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    • 2008
  • The bending test of an individual ZnO nanorod was performed with a nano-manipulator and a force sensor inside the scanning electron microscope (SEM), and the bending properties of ZnO nanorod were also discussed. The ZnO nanorod used in this experiment was fabricated by means of solution base process. The force sensor used for bending test of ZnO nanorod was typed with cantilever. The force sensor was mounted on the nano-manipulator. The nano-manipulator was controlled and manipulated by a personal computer. The each end of an individual ZnO nanorod was attached on the rigid support and the tip of the force sensor with an electron beam exposure, and then the bending test was carried out by controlling of the nano-manipulator. The bending modulus of a ZnO nanorod was calculated at 69.35GPa after the bending test.

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Bending and shear stiffness optimization for rigid and braced multi-story steel frames

  • Gantes, C.J.;Vayas, I.;Spiliopoulos, A.;Pouangare, C.C.
    • Steel and Composite Structures
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    • v.1 no.4
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    • pp.377-392
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    • 2001
  • The response of multi-story building structures to lateral loads, mainly due to earthquake and wind, is investigated for preliminary design purposes. Emphasis is placed on structural systems consisting of rigid and braced steel frames. An attempt to gain a qualitative understanding of the influence of bending and shear stiffness distribution on the deformations of such structures is made. This is achieved by modeling the structure with a stiffness equivalent Timoshenko beam. It is observed that the conventional stiffness distribution, dictated by strength constraints, may not be the best to satisfy deflection criteria. This is particularly the case for slender structural systems with prevailing bending deformations, such as flexible braced frames. This suggests that a new approach to the design of such frames may be appropriate when serviceability governs. A pertinent strategy for preliminary design purposes is proposed.

The Theory of Thin-Walled Curved Rectangular Box Beams Under Torsion and Out-of-Plane Bending (비틀림과 평면외 굽힘을 받는 직사각단면 곡선 박판보 이론)

  • Kim, Yun-Yeong;Kim, Yeong-Gyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.10 s.181
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    • pp.2637-2645
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    • 2000
  • We propose a new one-dimensional theory for thin-walled curved box beams having rectangular cross sections, in which torsional, out-of-plane bending, warping and distortional deformations are coupled. The major difference between the present theory and existing theories lies in that the present theory takes into account additional distortion as well as warping. To verify the present theory, a standard finite element based on the present theory is developed and used for numerical analysis. A couple of numerical examples indeed confirm that the consideration of warping and distortional deformations is very important.

Data driven inverse stochastic models for fiber reinforced concrete

  • Kozar, Ivica;Bede, Natalija;Bogdanic, Anton;Mrakovcic, Silvija
    • Coupled systems mechanics
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    • v.10 no.6
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    • pp.509-520
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    • 2021
  • Fiber-reinforced concrete (FRC) is a composite material where small fibers made from steel or polypropylene or similar material are embedded into concrete matrix. In a material model each constituent should be adequately described, especially the interface between the matrix and fibers that is determined with the 'bond-slip' law. 'Bond-slip' law describes relation between the force in a fiber and its displacement. Bond-slip relation is usually obtained from tension laboratory experiments where a fiber is pulled out from a matrix (concrete) block. However, theoretically bond-slip relation could be determined from bending experiments since in bending the fibers in FRC get pulled-out from the concrete matrix. We have performed specially designed laboratory experiments of three-point beam bending with an intention of using experimental data for determination of material parameters. In addition, we have formulated simple layered model for description of the behavior of beams in the three-point bending test. It is not possible to use this 'forward' beam model for extraction of material parameters so an inverse model has been devised. This model is a basis for formulation of an inverse model that could be used for parameter extraction from laboratory tests. The key assumption in the developed inverse solution procedure is that some values in the formulation are known and comprised in the experimental data. The procedure includes measured data and its derivative, the formulation is nonlinear and solution is obtained from an iterative procedure. The proposed method is numerically validated in the example at the end of the paper and it is demonstrated that material parameters could be successfully recovered from measured data.

A Discussion on Measurement of Springback Ratio Using Winding Bend (감아굽힘 시험장치의 제작과 스프링백 비의 시험법에 대한 역학적 검토)

  • 김용우
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2000.04a
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    • pp.95-101
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    • 2000
  • To measure springback ratio of thin sheet or plate, winding bend rig is made. It bends a specimen with keeping its curvature constant and measures the bending angles before and after release of bending load. To check the performance of the bend rig, we calculated the bending moment by two ways which are based on simple beam theory. One is that the bending moment is calculated by using the results of bending test, and the other is that the moment is calculated by using the results of tensile tests. The former may entails the effect of the friction between bending pin of the rig and the surface of specimen, but the latter does not contain any effects of the friction since the bending moment is obtained by using tensile tests. Nevertheless, the values of the two bending moment shows the same level of bending moment, which implies that the friction does not influence on the value of springback ratio in spite of the presence of friction within the cope of the test performed in this experiment.

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Development of Design Formulas for Pipe Loops Used in Ships Considering the Structural Characteristics of Curved Portions (곡선부의 구조 특성을 고려한 선박용 파이프 루프 설계식 개발)

  • Park, Chi-Mo;Bae, Byoung-Il
    • Journal of Ocean Engineering and Technology
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    • v.26 no.5
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    • pp.87-93
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    • 2012
  • Many longitudinally-arranged pipes in ships are equipped with loops as a measure to reduce stresses caused by displacement loads conveyed from the hull girder bending and/or thermal loads of carried fluid of non-ambient temperature. But as the loops have some negative effects such as causing extra manufacturing cost and occupying extra space, the number and the dimensions of the loops need to be minimized. In the meanwhile, a design formula for pipe loops has been developed by modeling them as a spring element of which stresses and axial stiffness are calculated based on the beam theory. But as the beam theory turns out to be inappropriate to deal with the complex structural behavior in the curved corner portion of the loop, this paper aims at improving the previously developed design formula by adopting correction factors which can allow for the gap between the results of beam theory and a more accurate analysis. This paper adopts a finite element analysis with two-dimensional shell elements with some validation work for it. The paper ends with a sample application of the proposed formulas showing their accuracy and efficiency.

An Experimental Study on the Shear Connection of Inverted T-shape Composite Beam Encased Web (역T형강 합성보의 전단연결에 관한 실험적 연구)

  • Jeong, Jae-Hun;Kim, Jin-Mu
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.5 no.4
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    • pp.131-138
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    • 2001
  • In inverted T-shape composite beam examine the structural behavior by experiment According to arrangement, type of stud connector, type of shear connector, reinforcement by welding of stirrup and a close analysis we came to these conclusion. 1) The compare result of bending strength according to arrange type of stud connector : A1-W(stud connector located web)specimen is exceed than A1-F(stud connector located flange). 2) B1-N(using prominence and depression of the web by shear connector) specimen is decrease than A1-W(using stud bolt by shear connector)specimen in bending strength and B2-N(reinforced by welding the stirrup to lower flange)specimen is similar with A2-W specimen. 3) According to reinforced by welding the stirrup to flange, the stiffness and bending strength of the beams are increase. A-scries stirrup comparatively low effective in the increase of strength by welding the stirrup to flange because enough composite effect show by stud connector, but B-series stirrup is comparatively high effective in shear connector effect because shortage of prominence and depression of the web.

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Structural Characteristics of Damaged Offshore Tubular Members

  • Cho, Sang-Rai;Kwon, Jong-Sig;Kwak, Dong-Il
    • Journal of Ocean Engineering and Technology
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    • v.24 no.4
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    • pp.1-7
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    • 2010
  • Over the past few decades various experimental and theoretical investigations have been performed on offshore tubular members with regard to damage resistance and residual strength. Analysis of damaged tubular members requires a three-dimensional shell analysis for accurate results. Even though various commercial packages are available for this purpose, a beam-column analysis is preferred for offshore structural designs. In this paper, empirical equations are provided for a more accurate beam-column analysis of damaged tubes including the relationships between the lateral denting load and the depth of the dent, the rate of dent deepening due to increasing curvature and the longitudinal variation in the dent depth of damaged tubes. A design equation to predict the ultimate bending capacities of damaged offshore tubular members is also presented.