• Title/Summary/Keyword: Slenderness ratio

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Free vibration analysis of Bi-Directional Functionally Graded Beams using a simple and efficient finite element model

  • Zakaria Belabed;Abdeldjebbar Tounsi;Abdelmoumen Anis Bousahla;Abdelouahed Tounsi;Mohamed Bourada;Mohammed A. Al-Osta
    • Structural Engineering and Mechanics
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    • v.90 no.3
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    • pp.233-252
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    • 2024
  • This research explores a new finite element model for the free vibration analysis of bi-directional functionally graded (BDFG) beams. The model is based on an efficient higher-order shear deformation beam theory that incorporates a trigonometric warping function for both transverse shear deformation and stress to guarantee traction-free boundary conditions without the necessity of shear correction factors. The proposed two-node beam element has three degrees of freedom per node, and the inter-element continuity is retained using both C1 and C0 continuities for kinematics variables. In addition, the mechanical properties of the (BDFG) beam vary gradually and smoothly in both the in-plane and out-of-plane beam's directions according to an exponential power-law distribution. The highly elevated performance of the developed model is shown by comparing it to conceptual frameworks and solution procedures. Detailed numerical investigations are also conducted to examine the impact of boundary conditions, the bi-directional gradient indices, and the slenderness ratio on the free vibration response of BDFG beams. The suggested finite element beam model is an excellent potential tool for the design and the mechanical behavior estimation of BDFG structures.

Structural RC computer aided intelligent analysis and computational performance via experimental investigations

  • Y.C. Huang;M.D. TuMuli Lulios;Chu-Ho Chang;M. Nasir Noor;Jen-Chung Shao;Chien-Liang Chiu;Tsair-Fwu Lee;Renata Wang
    • Structural Engineering and Mechanics
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    • v.90 no.3
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    • pp.253-261
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    • 2024
  • This research explores a new finite element model for the free vibration analysis of bi-directional functionally graded (BDFG) beams. The model is based on an efficient higher-order shear deformation beam theory that incorporates a trigonometric warping function for both transverse shear deformation and stress to guarantee traction-free boundary conditions without the necessity of shear correction factors. The proposed two-node beam element has three degrees of freedom per node, and the inter-element continuity is retained using both C1 and C0 continuities for kinematics variables. In addition, the mechanical properties of the (BDFG) beam vary gradually and smoothly in both the in-plane and out-of-plane beam's directions according to an exponential power-law distribution. The highly elevated performance of the developed model is shown by comparing it to conceptual frameworks and solution procedures. Detailed numerical investigations are also conducted to examine the impact of boundary conditions, the bi-directional gradient indices, and the slenderness ratio on the free vibration response of BDFG beams. The suggested finite element beam model is an excellent potential tool for the design and the mechanical behavior estimation of BDFG structures.

Development of Performance Based Resistance Capacity Evaluation Method for RC Compression Member under Vehicle Impact Load (차량 충돌하중을 받는 RC 압축부재의 성능기반형 저항성능 평가방법 개발)

  • Kim, Jang-Ho Jay;Yi, Na-Hyun;Phan, Duc-Hung;Kim, Sung-Bae;Lee, Kang-Won
    • Journal of the Korea Concrete Institute
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    • v.22 no.4
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    • pp.535-546
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    • 2010
  • Recently, the probability of collision accident between vehicles or vessels and infrastructures are increasing at alarming rate. Particularly, collision impact load can be detrimental to sub-structures such as piers and columns. The damaged pier from an impact load of a vehicle or a vessel can lead to member damages, which make the member more vulnerable to impact load due to other accidents which. In extreme case, may cause structural collapse. Therefore, in this study, the vehicle impact load on concrete compression member was considered to assess the quantitative design resistance capacity to improve, the existing design method and to setup the new damage assessment method. The case study was carried out using the LS-DYNA, an explicit finite element analysis program. The parameters for the case study were cross-section variation of pier, impact load angle, permanent axial load and axial load ratio, concrete strength, longitudinal and lateral rebar ratios, and slenderness ratio. Using the analysis results, the performance based resistance capacity evaluation method for impact load using satisfaction curve was developed using Bayesian probabilistic method, which can be applied to reinforced concrete column design for impact loads.

Seismic Response Analysis and Performance Evaluation of Wind-Designed Concentrically Braced Steel Highrise Buildings under Moderate Seismicity (중진대의 지진환경하에서 내풍설계된 초고층 철골조 중심가새골조의 지진응답해석 및 내진성능평가)

  • Lee, Cheol-Ho;Kim, Seon-Woong
    • Journal of the Earthquake Engineering Society of Korea
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    • v.9 no.1 s.41
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    • pp.33-42
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    • 2005
  • Even in moderate to low seismic regions like Korean peninsular where wind loading usually governs the structural design of a tall builidng, the probable structural impact of the 500-year design basis earthquake (DBE) or the 2400-year maximum credible earthquake (MCE) on the selected structural system should be considered at least in finalizing the design. In this study, seismic performance evaluation was conducted for concentrically braced steel highrise buildings that were only designed for wind by following the assumed domestic design practice. It was found that wind-designed concentrically braced steel highrise buildings possess significantly increased elastic seimsic capacity due to the system overstrength resulting from the wind-serviceability criterion and the width-to-thickness ratio limits on steel members. The strength demand-to-strength capacity study based on the response spectrum analysis revealed that, due to the system overstrength factors mentioned above, wind-designed concentrically braced steel highrise buildings having a slenderness ratio of larger than six can withstand elastically even the maximum credible earthquake at the performance level of immediate occupancy.

Chemical Properties and Fiber Dimension of Eucalyptus pellita from The 2nd Generation of Progeny Tests in Pelaihari, South Borneo, Indonesia

  • Lukmandaru, Ganis;Zumaini, Umi Farah;Soeprijadi, Djoko;Nugroho, Widyanto Dwi;Susanto, Mudji
    • Journal of the Korean Wood Science and Technology
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    • v.44 no.4
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    • pp.571-588
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    • 2016
  • Eucalyptus pellita F. Muell is one of pulp woods that is being developed through breeding plantation programs in Indonesia. The research aimed at exploring the chemical and morphological characteristics of fiber, and to determine the rank of plus trees from 4 provenances based on the suitability for pulps. The materials included the plus trees of E. pellita (9 years) from the 2nd generation of progeny tests in Pelaihari, South Borneo. Wood properties under investigation included the chemical properties and morphological fiber characteristics (fiber dimensions and its derived properties). In the present study, data were analyzed using descriptive statistic, Analytic Hierarchy Process (AHP) and Pearson's correlation. Results showed that the chemical properties of E. pellita, i.e. the contents of ethanol-toluene extractives, hot water soluble extractives, holocellulose, alphacelullose, and lignin were $3.08{\pm}1.00%$, $1.41{\pm}0.38%$, $75.26{\pm}2.58%$, $49.02{\pm}2.88%$, and $29.49{\pm}1.86%$, respectively. The average values of wood fiber morphology were $1.02{\pm}0.08$ mm (fiber length), $13.25{\pm}1.64{\mu}m$ (fiber diameter), of $6.94{\pm}1.70{\mu}m$ (lumen diameter), $3.15{\pm}0.52{\mu}m$ (fiber wall thickness), $0.97{\pm}0.30$ (Runkel ratio), $0.57{\pm}0.10$ (Luce's shape factor), $78.21{\pm}10.34$ (slenderness ratio) and $130.91{\pm}33.77{\times}10^3{\mu}m^3$ (solids factor). The AHP scoring rank indicated that the best individuals were 28.4.3.28 (Kiriwo Utara), 12.1.5.28 (North Kiriwo), 19.11.5.45 (Serisa Village), 3.8.4.9 (South Kiriwo), and 6.6.3.15 (South Kiriwo). Pearson correlation analysis showed significant correlations between the levels of fiber length with alpha-cellulose content (r = 0.39) as well as the fiber length with ethanol-toluene extractive contents (r = -0.41).

Anatomical, Morphological, and Chemical Characteristics of Paper-mulberry Wood and Bast Fiber for Raw Material of Korean Paper(Hanji) (한지 원재료인 닥나무와 인피섬유의 해부학적·화학적 특성 연구)

  • Go, In Hee;Jeong, Seon Hwa
    • Journal of Conservation Science
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    • v.34 no.6
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    • pp.517-524
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    • 2018
  • This study using a method different from those employed previously, the anatomical characteristics of paper-mulberry wood were confirmed by observing three different sections. In addition, the factors affecting the pulp and papermaking processes were analyzed in terms of morphological properties such as the fiber length and width, lumen width, and chemical composition of the paper-mulberry bast fiber. The anatomical characteristics of the paper-mulberry wood were a ring porous or semi-ring porous structure with the vessels showing solitary pore and radial array. The medullary ray of the tangential section showed 1-3 rows and common helical thickening. Consequently, the paper-mulberry wood has the same anatomical characteristics throughout. The morphological characteristics of the paper-mulberry bast fiber are a fiber length of 6.58 to 9.01 mm, fiber width of 15.85 to $27.80{\mu}m$, lumen width of 4.50 to $12.54{\mu}m$. The D sample of Gangwon was the most suitable for the pulp and papermaking processes, in terms of its derived morphological ratios. Comparing the chemical compositions, the C sample of Gyeongsang had a high holocellulose content (90%). Thus, the findings herein will aid in determining the quality of Korean paper post production.

Principles of Stone Elevation Formation for Walls and Wells in the Silla Dynasty from 5th to 7th Centuries (5~7세기 신라시대 성곽과 우물에 대한 석축입면조형원리)

  • Kang, Seong-Bin;Seo, Seong-Hyeok;Jung, Tae-Yeol
    • Journal of the Korean Institute of Traditional Landscape Architecture
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    • v.41 no.1
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    • pp.47-55
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    • 2023
  • In this study, the following conclusions were drawn by analyzing the size, proportion, shape, angle, distribution, etc. of stones in order to identify the principles of facade molding of stonework of the 5th to 7th centuries of the Silla Dynasty. First, the uniformity of the size of the stones of the stone foundations of the Silla Dynasty was low at -0.8 to 4.1. This means that stones of various sizes were used, from small stones to large stones. In addition, the distribution of large stones in stonework of the Silla Dynasty appeared evenly regardless of height. This was common in the stonework of the Silla Dynasty, regardless of structural classification such as wells and mountain fortresses. It is thought that the Silla people did not only pursue practicality and efficiency in stone construction, but also considered design elements. Second, the proportional deviation of the stones of the stone walls of the Silla Dynasty was high, ranging from 0.861 to 1.515. This means that the stonework of the Silla Dynasty did not use only long flagstone-shaped stones, but used a mixture of long and short stones. Third, the shape average of the stones of the stonework of the Silla Dynasty was low at 0.45, and the shape deviation was high at the maximum of 0.15. This means that the stones as a whole have irregular shapes, and each stone has a high difference in shape. Fourth, the angle deviation of the stones of the Silla Dynasty was 4.3 to 16.2, and the average angle was 2. This means that the angle of each stone on the stone axis of the Silla Dynasty is tilted to the left and right. Fifth, there was no correlation between stone size, slenderness ratio, shape, and angle in the stone axes of the Silla Dynasty. In the case of stone axes in the Joseon Dynasty, there was a positive correlation between stone size and slenderness, and a negative correlation between stone size and shape. It can be said that the stones of the Joseon Dynasty were relatively standardized, but the Silla Dynasty showed the beauty of moderation by keeping the nature of the material and becoming one with the material.

Experimental Study on Flexural Structural Performance of Sinusoidal Corrugated Girder (파형 웨브주름 보의 휨성능에 관한 실험적 연구)

  • Kim, Jong Sung;Chae, Il Soo
    • Journal of Korean Society of Steel Construction
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    • v.27 no.6
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    • pp.503-511
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    • 2015
  • In long span steel structure, the plate girder reinforced with stiffeners are commonly used. When choosing the cross section with deep depth of girder as well as narrow width, however, out of plane buckling can be a problem due to web slenderness. In an effort to solve this issue, current study determined the applicability of using corrugated web girder with deep depth as bending member, which is generally being utilized in both factory and warehouse nationwide. To accomplish this, we performed the loading test of H-shaped beam with sinusoidal corrugated web. Corrugated web CP-2.3 specimen exhibited 12% less maximal bending strength but CP-3.2 specimen exerted 24% increase in strength compared to plate web P-4.5. this result indicates that corrugated web provides enough strength even with unfavorable width-thickness ratio of plate. And bending as well as shear strength estimated by the Eurocode (EN 1993-1-5) were compared with both bending strength by loading test and shear strength estimated by KBC2009. In case of eurocode, increase in plate thickness did not help in bending performance improvement. moreover, shear performance was sensitive to the thickness of the web folds and the shape of the web plate.

Effects of Target Density and Strand Size on Properties of Oriented Strand Board Composed of Thinned Wood of Larix leptolepis Gordon (낙엽송(落葉松) 간벌목(間伐木)을 원료(原料)로 한 Oriented Strand Board(OSB)의 목표밀도(目標密度)와 Strand Size가 OSB의 재질(材質)에 미치는 영향(影響))

  • Park, Heon;Kang, Eun-Chang
    • Journal of the Korean Wood Science and Technology
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    • v.24 no.4
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    • pp.56-63
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    • 1996
  • This study was to manufacture thinned wood of Larix leptolepis Gordon into Oriented Strand Board(OSB) with Urea-Formaldehyde Resin. The OSB was made of four kinds of strand in slenderness ratio 150 ; thickness $0.3{\pm}0.05mm$, $0.4{\pm}0.05mm$, $0.5{\pm}0.05mm$ and $0.6{\pm}0.05mm$, respectively length 45mm, 60mm, 75mm and 90mm. Target densities were 0.65gr/$cm^3$, 0.75gr/$cm^3$ and 0.85gr/$cm^3$. The stepwise 9 minutes-multi-pressing schedule in the maximum pressure 40kgf/$cm^2$, the minimum pressure 10kgf/$cm^2$ was applied for $400mm{\times}390mm{\times}12mm$ board at the temperature of $150^{\circ}C$ in a hot press. In MOR The OSB of thin strand thickness $0.3{\pm}0.05mm$(length 45mm) and density 0.85gr/$cm^3$ was the highest. The strand thickness had more effect on MOR than the strand length. In strand thickness $0.4{\pm}0.05mm$(length 60mm) and density 0.85gr/$cm^3$ was the highest MOE. The strand thickness and length had adverse effects on MOE each other. At internal bonding. The OSB of strand thickness $0.3{\pm}0.05mm$(length 45mm) and board density 0.75gr/$cm^3$ showed the highest value. OSB had higher IB value with thinner strand thickness. The thinner strand thickness showed the lower thickness swelling in turn $0.3{\pm}0.05mm$(length 45mm), $0.4{\pm}0.05mm$(length 60mm), $0.5{\pm}0.05mm$(length 75mm). $0.6{\pm}0.05mm$(length 90mm). Target densities 0.75gr/$cm^3$ 0.65gr/$cm^3$, 0.85gr/$cm^3$ showed in turn lower value. Finally, The OSB made of thinned wood of Larix leptolepis Gordon showed good results in laboratory experiment.

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Discrete Optimum Design of Sinusoidal Corrugated Web Girder (사인형 주름웨브보의 이산화 최적구조설계)

  • Shon, Su Deok;Yoo, Mi Na;Lee, Seung Jae
    • Journal of Korean Society of Steel Construction
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    • v.24 no.6
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    • pp.671-682
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    • 2012
  • The use of sinusoidal corrugated web girder for the box-type girders and gable steel main frames has recently been increasing very much. The reasons are that the thin web of the girder affords a significant weight reduction compared with rolled beam and welded built-up girder, and that corrugation prevents the buckling failure of the web. Improvements of the automatic fabrication process makes mass production of the corrugated web and unit possible, and applications of this girder have been extended considerably. Thus, the research for the optimum design processer considering the production data is needed practically. For doing this research, we develope the discrete optimum structural design program in consideration of production list data for the research, and the program apply to the single girder under the uniform load and the concentrated load as numerical example. We consider objective function as minimum weight of the girder, and use slenderness ratio, stress of flanges and corrugated web, and the girder deflection as the constraint functions. And also the Genetic Algorithms is adopted to search the global minimum point by using the production list as a discrete design variable. Finally, to verify the optimality of the design, we conduct a comparison of the results of the discrete optimum design with those of the continuous one, and also analyze the characteristics of the optimum cross-section.