• Title/Summary/Keyword: bending factor

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Evaluation of Allowable Bending Stress of Dimension Lumber; Confidence Levels and Size-adjustment

  • Pang, Sung-Jun;Lee, Jun-Jae;Oh, Jung-Kwon
    • Journal of the Korean Wood Science and Technology
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    • v.41 no.5
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    • pp.432-439
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    • 2013
  • The aim of this study was to investigate the processes for evaluating the allowable bending stress. The confidence levels and the size-adjustment in standards were reviewed with experimental data. The results show that, (1) KS F 2152 was more strict than others overseas standards due to the higher confidence level. The 5% NTL of bending strengths by a method in KS F 2152 were lower than the overseas standards and more specimens were required for evaluating the structural properties according to KS F 2152. (2) Due to the absence of size-adjustment method in domestic standards, the specified size and the exponential parameters on the size-adjustment equation were reviewed by size factors. The specified size (width: 286 mm, length: 6096 mm), and the exponential parameters (w: 0.29, l: 0.14) will be suitable for developing the allowable bending stress in domestic standard. (3) The size adjusted allowable bending stresses of No. 2 grade Korean pine were lower than the allowable stresses tabulated in KBC even though less strict method (75% confidence level) to calculate 5% value was used. The allowable stresses tabulated in KBC are needed to be reviewed by continuous experimental data.

Assessment of various nonlocal higher order theories for the bending and buckling behavior of functionally graded nanobeams

  • Rahmani, O.;Refaeinejad, V.;Hosseini, S.A.H.
    • Steel and Composite Structures
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    • v.23 no.3
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    • pp.339-350
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    • 2017
  • In this paper, various nonlocal higher-order shear deformation beam theories that consider the size dependent effects in Functionally Graded Material (FGM) beam are examined. The presented theories fulfill the zero traction boundary conditions on the top and bottom surface of the beam and a shear correction factor is not required. Hamilton's principle is used to derive equation of motion as well as related boundary condition. The Navier solution is applied to solve the simply supported boundary conditions and exact formulas are proposed for the bending and static buckling. A parametric study is also included to investigate the effect of gradient index, length scale parameter and length-to-thickness ratio (aspect ratio) on the bending and the static buckling characteristics of FG nanobeams.

Bending Strength of Natural Woven Bamboo Fiber-reinforced Polymer Composites with Manufacturing Factors (직조된 대나무 자연섬유 복합재료의 제조인자에 따른 굽힘강도)

  • Song Jun-Hee;Lim Jae-Kyoo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.8 s.251
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    • pp.916-922
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    • 2006
  • In recent years there has been a growing interest for the use of natural fibers in composite applications due to their low cost, environmental friendliness, and good mechanical properties. The purpose of this study is to determine the characteristic of bending strength on bamboo fiber reinforced polymer composites. The parameters of RTM process depend on the weight ratio of bamboo fiber and resin, the number of bamboo ply and amount of hardening agent. Mechanical properties was investigated for each process factor of polymer composites. Test result shows that bending strength was a maximum(approximately 85MPa) value when composite thickness was 6mm and weight ratio of resin was 13%.

A Study on the Bending Behavior of Single Worsted Yarns for the Clothing Material (I) -Theory- (피복 재료용 소모단사의 굽힘거동에 관한 연구(I) -이론-)

  • Park, Jung-Whan;Kim, Duk-Ly;Park, Jung-U
    • Journal of the Korean Society of Clothing and Textiles
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    • v.18 no.4
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    • pp.443-451
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    • 1994
  • The bending rigidity of yarn is derived in terms of physicil and mechanical characteristics of its constituent fibers and yarns structural parametrs. Theoretical analysis shows that the twist correcti on factor for the bending rigidity of yarn decreases with increase of the ratio of Young's m()dulus to the shear modulus of the constituent fibers. Also, the bending rigidity of yarn decreases as the surface helix angle of yarn increases.

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Bending analysis of softcore and hardcore functionally graded sandwich beams

  • Hadji, Lazreg;Safa, Abdelkader
    • Earthquakes and Structures
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    • v.18 no.4
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    • pp.481-492
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    • 2020
  • A New hyperbolic shear deformation theory is developed for the bending analysis of softcore and hardcore functionally graded sandwich beams. This theory satisfies the equilibrium conditions at the top and bottom faces of the sandwich beam and does not require the shear correction factor. The governing equations are derived from the principle of virtual work. Sandwich beams have functionally graded skins and two types of homogenous core (softcore and hardcore). The material properties of functionally graded skins are graded through the thickness according to the power-law distribution. The Navier solution is used to obtain the closed form solutions for simply supported FGM sandwich beams. The accuracy and effectiveness of proposed theory are verified by comparison with previous research. A detailed numerical study is carried out to examine the influence of the deflections, stresses, and sandwich beam type on the bending responses of functionally graded sandwich beams.

On bending, buckling and vibration responses of functionally graded carbon nanotube-reinforced composite beams

  • Tagrara, S.H.;Benachour, Abdelkader;Bouiadjra, Mohamed Bachir;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • v.19 no.5
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    • pp.1259-1277
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    • 2015
  • In this work, a trigonometric refined beam theory for the bending, buckling and free vibration analysis of carbon nanotube-reinforced composite (CNTRC) beams resting on elastic foundation is developed. The significant feature of this model is that, in addition to including the shear deformation effect, it deals with only 3 unknowns as the Timoshenko beam (TBM) without including a shear correction factor. The single-walled carbon nanotubes (SWCNTs) are aligned and distributed in polymeric matrix with different patterns of reinforcement. The material properties of the CNTRC beams are assessed by employing the rule of mixture. To examine accuracy of the present theory, several comparison studies are investigated. Furthermore, the effects of different parameters of the beam on the bending, buckling and free vibration responses of CNTRC beam are discussed.

A refined nonlocal hyperbolic shear deformation beam model for bending and dynamic analysis of nanoscale beams

  • Bensaid, Ismail
    • Advances in nano research
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    • v.5 no.2
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    • pp.113-126
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    • 2017
  • This paper proposes a new nonlocal higher-order hyperbolic shear deformation beam theory (HSBT) for the static bending and vibration of nanoscale-beams. Eringen's nonlocal elasticity theory is incorporated, in order to capture small size effects. In the present model, the transverse shear stresses account for a hyperbolic distribution and satisfy the free-traction boundary conditions on the upper and bottom surfaces of the nanobeams without using shear correction factor. Employing Hamilton's principle, the nonlocal equations of motion are derived. The governing equations are solved analytically for the edges of the beam are simply supported, and the obtained results are compared, as possible, with the available solutions found in the literature. Furthermore, the influences of nonlocal coefficient, slenderness ratio on the static bending and dynamic responses of the nanobeam are examined.

Determination of safety factor for agricultural gear reducer using simulation software

  • Hong, Soon-Jung;Kim, Yong-Joo;Chung, Sun-Ok;Choi, Chang-Hyun;Park, Soo-Bok;Noh, Hyun-Seok;Jang, Jeong-Hoon
    • Korean Journal of Agricultural Science
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    • v.45 no.2
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    • pp.283-289
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    • 2018
  • Agricultural gear reducers are used in a variety of agricultural machinery designs such as in agricultural tractors and transport cars, and even greenhouses. For greenhouses, a gear reducer is used to control windows on the side and the roof. Gear reducers for agricultural applications are designed using the empirical method because of the lack of a standard for experimentation. Simulation is necessary for the optimal design of an agricultural gear reducer. There are many advantages to this optimization such as low-cost maintenance, reduced size, and weight. In this study, bending and contact safety factor simulation for the gear reducer of a greenhouse was conducted by decreasing the face widths of helical gear shaft 2 and shaft 3 from 30.8 and 30 mm, respectively, at an interval of 4 mm. The bending and contact safety factors were calculated using AGMA standard. Simulation results showed that bending and contact safety factors decreased rapidly when the face width of the helical gear on shaft 2 was 30 mm and the face width of helical gear on shaft 3 decreased from 30.8 mm to 26.8 mm, suggesting that it would be safe to reduce the face width of the helical gear on shaft 3 to 26.8 mm. The reduction of the face width also reduced the weight of the agricultural gear. This study suggests that the agricultural gear reducer safety factor decreases as the face width decreases.

A mathematical model to predict fatigue notch factor of butt joints

  • Nguyen, Ninh T.;Wahab, M.A.
    • Structural Engineering and Mechanics
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    • v.6 no.4
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    • pp.467-471
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    • 1998
  • A mathematical model is developed to predict the fatigue notch factor of butt welds subject to number of parameters such as weld geometry, residual stresses under dynamic combined loading conditions (tensile and bending). Linear elastic fracture mechanics, finite element analysis, dimensional analysis and superposition approaches are used for the modelling. The predicted results are in good agreement with the available experimental data. As a result, scatters of the fatigue data can be significantly reduced by plotting S-N curve as ($S{\cdot}K_f$) vs. N.

Vibration Analysis of Cracked Rotor (균열 회전체의 진동해석)

  • Jun, Oh-Sung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.925-934
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    • 2005
  • The dynamic response due to the unbalance and crack and the quasi-static response due to gravity are analytically derived based on the complex transfer matrix. The additional slope is expressed as function of the bending moment at crack position based on the fracture mechanics concept, and inversely the bending moment is expressed as function of the additional slope at the crack position. At each angle step during the shaft revolution, the additional slope and bending moment are calculated by an iterative method. The transient behavior is considered by introducing Fourier series expansion concept for the additional slope. Simulation is carried out for a simple rotor similar to those available in the literature and comparison of the basic crack behavior is shown. Using the additional slope, the cracked rotor behavior is explained with the crack depth increased: the magnitude of the additional slope increases and the closed crack duration during a revolution decreases as the crack depth increases. The direction of unbalance is also shown as a factor to affect the crack breathing. Whirl orbits are shown near the sub-critical speed ranges of the rotor.

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