• Title/Summary/Keyword: pure bending

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Bending Analysis and Flexural Rigidity of Rectangular Corrugated Plates (사각 주름판의 굽힘강성 및 굽힘해석)

  • Jung, Kang;Kim, Young-Wann
    • Journal of Power System Engineering
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    • v.16 no.6
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    • pp.38-44
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    • 2012
  • In this paper, the bending characteristics of the corrugated plates is analyzed. The trapezoidally, triangularlly and sinusoidally corrugated plates are considered. The corrugated plate is treated as an orthotropic plate that has different flexural properties in two perpendicular directions. The equivalent bending and twisting rigidities for the equivalent orthotropic plates are derived. The equivalent flexural rigidities are estimated under the following postulations: (1) The angle of continuously corrugated plate is not changed after the deformation. (2) When the pure bending moment is applied in corrugated direction of the plate, the its plane is in pure bending. Several numerical examples are analyzed with the proposed method and compared with published results.

Brazier effect of single- and double-walled elastic tubes under pure bending

  • Sato, Motohiro;Ishiwata, Yuta
    • Structural Engineering and Mechanics
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    • v.53 no.1
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    • pp.17-26
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    • 2015
  • The cross sections of hollow cylindrical tubes ovalise under a pure bending condition, and this reduces their flexural stiffness as their curvatures increase. It is important to accurately evaluate this phenomenon, known as the 'Brazier effect', to understand the bending behaviour of the systems considered. However, if the tubes are supported by an elastic medium or foundation, the ovalisation displacements of their cross sections may decrease. From this point of view, the purpose of this research is to analytically investigate the bending characteristics of single- and double-walled elastic tubes contacted by an elastic material by considering the Brazier effect. The Brazier moment, which is the maximum moment-carrying capacity of the ovalised cross section, can be calculated by introducing the strain energy per unit length of the tube in terms of the degree of ovalisation for the tube and the curvature. The total strain energy of the double-walled system is the sum of the strain energies of the outer and inner tubes and that of the compliant core. Results are comparatively presented to show the variation in the degree of ovalisation and the Brazier moment for single- and double-walled tubes.

An experimental study on creep deformation of thin-walled tubes under pure bending

  • Hsu, Chien-Min;Fan, Chun-Huei
    • Structural Engineering and Mechanics
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    • v.9 no.4
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    • pp.339-347
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    • 2000
  • The creep deformation of pure bending (hold constant moment for a period of time) tests were conducted in this paper. Thin-walled tubes of 304 stainless steel were used in this investigation. The curvature-ovalization measurement apparatus, designed by Pan et al. (1998), was used for conducting the present experiments. It has been found that as soon as the creep deformation is started, the magnitudes of the tube curvature and ovalization of tube cross-section quickly increase. The magnitudes of the creep curvature and ovalization of tube cross-section increase fast with a higher hold moment than that with a lower one. Owing to the continuously increasing curvature during the creep deformation, the tube specimen buckles eventually.

Finite element analysis of CFT columns subjected to pure bending moment

  • Hu, H.T.;Su, F.C.;Elchalakani, M.
    • Steel and Composite Structures
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    • v.10 no.5
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    • pp.415-428
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    • 2010
  • Proper material constitutive models for concrete-filled tube (CFT) columns of circular cross section and subjected to pure bending moment are proposed. These material models are implemented into the Abaqus finite element program and verified against experimental data. It has been shown that the steel tube does not provide good confining effect to the concrete core when the CFT columns is subjected to pure bending moment. When the diameter-to-thickness ratio of the CFT columns is small, the behavior of the CFT column is the same as the steel tube without a concrete core.

Flexural studies on reinforced geopolymer concrete beams under pure bending

  • Sreenivasulu, C.;Jawahar, J. Guru;Sashidhar, C.
    • Advances in concrete construction
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    • v.8 no.1
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    • pp.33-37
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    • 2019
  • The present investigation is mainly focused on studying the flexural behavior of reinforced geopolymer concrete (RGPC) beams under pure bending. In this study, copper slag (CS) was used as a partial replacement of fine aggregate. Sand and CS were blended in different proportions (100:0, 80:20, 60:40 and 40:60) (sand:CS) by weight. Fly ash and ground granulated blast furnace slag (GGBS) were used as binders and combination of sodium hydroxide (8M) and sodium silicate solution were used for activating the binders. The reinforcement of RGPC beam was designed as per guidelines given in the IS 456-2000 and tested under pure bending (two-point loading) after 28 days of ambient curing. After conducting two point load test the flexural parameters viz., moment carrying capacity, ultimate load, service load, cracking moment, cracking load, crack pattern and ultimate deflection were studied. From the results, it is concluded that RGPC beams have shown better performance up to 60% of CS replacement.

Combined bending and web crippling of aluminum SHS members

  • Zhou, Feng;Young, Ben
    • Steel and Composite Structures
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    • v.31 no.2
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    • pp.173-185
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    • 2019
  • This paper presents experimental and numerical investigations of aluminum tubular members subjected to combined bending and web crippling. A series of tests was performed on square hollow sections (SHS) fabricated by extrusion using 6061-T6 heat-treated aluminum alloy. Different specimen lengths were tested to obtain the interaction relationship between moment and concentrated load. The non-linear finite element models were developed and verified against the experimental results obtained in this study and test data from existing literature for aluminum tubular sections subjected to pure bending, pure web crippling, and combined bending and web crippling. Geometric and material non-linearities were included in the finite element models. The finite element models closely predicted the strengths and failure modes of the tested specimens. Hence, the models were used for an extensive parametric study of cross-section geometries, and the web slenderness values ranged from 6.0 to 86.2. The combined bending and web crippling test results and strengths predicted from the finite element analysis were compared with the design strengths obtained using the current American Specification, Australian/New Zealand Standard and European Code for aluminum structures. The findings suggest that the current specifications are either quite conservative or unconservative for aluminum square hollow sections subjected to combined bending and web crippling. Hence, a bending and web crippling interaction equation for aluminum square hollow section specimens is proposed in this paper.

The Spring-back Phenomena in Soild Phase Bending of Glass Fiber Reinforced Polypropylene (유리섬유 강화 Polypropylene의 고상굽힘성형시 Spring-back 현상)

  • 남궁천;김성일;이중희
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.646-649
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    • 1995
  • An experimental and analyical investigations were undertaken to improve understanding of spring-back phenomena of chopped fiber reinforced thermoplastic composite sheet. The materials tested contained 20, 35, 40 percent by weight of readomly oriented glass fiber in a prolypropylene matrix. The simple bending tests were performed at temperatures ranging form 75 .deg. c to 150 .deg. c with 25 .deg. c increment and at punch speed of 1mm/sec and 0.01mm/sec. The spring-back angel measured in pure bending is compared with the prediction base on the analytical model. Good agreement between experimental and predicted results was observed.

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A Study on the bending process of glass fiber reinforced thermoplastic composite (유리섬유 강화 열가소성 복합재료의 굽힘성에 대한 연구)

  • 남궁천;김동석;이중희
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.513-517
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    • 1997
  • Glass fiber reinforced thermoplastic composite materials have considerable promise for increased use in low cost high volum applications because of the potential for processing by solid phase forming. However, the forming characteristics of these materials have not been well known. The primary focus of this research is the investigation of the bendability of these composites and spring-back phenomena in pure bending. The materials tested contained 10, 35, and 40 percent by weight of randomly oriented glass fiber in a polypropylene matrix. The bending tests were performed at temperatures ranging form 75 ".deg. c" to 150 ".deg. c" and at punch speeds of 2.54 mm/sec and 0.0254 mm/sec. The measured bendability and spring back angle in pure bending werw compared with the predictions based on the simple analyical models. Goog agreement between experimental and analytical results was observed.esults was observed.

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Measurement of the mixed mode fracture strength of green sandstone using three-point bending specimens

  • Li, Yifan;Dong, Shiming;Pavier, Martyn J.
    • Geomechanics and Engineering
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    • v.20 no.1
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    • pp.9-18
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    • 2020
  • Three-point bending specimens have been used to investigate the mixed mode fracture of green sandstone. Dimensionless stress intensity factors and T-stresses were calculated first by using the finite element method for various crack lengths, crack angles and span to length ratios. It is shown that three-point bending specimens can provide the whole range of mode mixities from pure mode I to pure mode II, provided suitable values are chosen for the crack angle and span to length ratio. The fracture test results were also used to compare with predictions of different criteria. These comparisons show that modified criteria including the influence of the T-stress agree better with experiment than the conventional criteria but that no one criterion matches perfectly the test results.

An Analysis on Brazier Effect of Cylindrical Tubes Under Pure Bending by Upper Bound Method (상계 해법을 이용한 순수 굽힘하의 원형 튜브의 단면 면화 해석)

  • Koo, Sang-Wan;Kim, Nak-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.4
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    • pp.524-530
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    • 2003
  • This paper presents a new model on deformation characteristics of cylindrical tubes under pure bending. The model is based on the upper bound method that minimizes total strain energy of a system. It does not assume inextensibility condition. Geometric relations and displacement fields are derived by analysis of deformation behaviors of elastic tubes. Simulations are calculated using numerical optimization and integration techniques. The results give information about cross-sectional deformation of cylindrical tubes. Simulation results are compared with available data in literatures, which show that this method predicts deformation characteristics of tube bending process.