• Title/Summary/Keyword: Flexural stiffness

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An Experimental Study on Damage Assessment of Reinforced Concrete Beams (철근 콘크리트 보의 손상평가에 대한 실험적 연구)

  • Roh Won Kyoun;Shim Chang Su;Hong Chang Kuk;Kim Ki Bong
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.05a
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    • pp.60-63
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    • 2004
  • The paper deals with the damage assessment of the concrete beam using static displacements and the flexural stiffness reduction of the beam was evaluated. Simply supported concrete beams were loaded at the mid-span, and the applied load level ranged $20\%,\;40\%,\;80\%$ of the flexural strength of the beam. When the displacements from the tests were increased more than $10\%$ of the initial values, flexural cracks occured. Judging from the observed cracks, damaged area of the beams were assumed and the stiffness reduction using the smeared-cracking concept was estimated to minimize the error between the test results and analytical results. Four stages of the behavior of a RC beam, which are uncracked, initial cracking, stabilized cracking and post-yielding, can be considered to assess the damage of RC beams. Main parameters for the assessment were cracking area and the stiffness reduction ratio. In each stage, damaged elements and their stiffness reduction were estimated to minimized the error.

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Flexural free vibration of cantilevered structures of variable stiffness and mass

  • Li, Q.S.
    • Structural Engineering and Mechanics
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    • v.8 no.3
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    • pp.243-256
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    • 1999
  • Using appropriate transformations, the differential equation for flexural free vibration of a cantilever bar with variably distributed mass and stiffness is reduced to a Bessel's equation or an ordinary differential equation with constant coefficients by selecting suitable expressions, such as power functions and exponential functions, for the distributions of stiffness and mass. The general solutions for flexural free vibration of one-step bar with variable cross-section are derived and used to obtain the frequency equation of multi-step cantilever bars. The new exact approach is presented which combines the transfer matrix method and closed form solutions of one step bars. Two numerical examples demonstrate that the calculated natural frequencies and mode shapes of a 27-storey building and a television transmission tower are in good agreement with the corresponding experimental data. It is also shown through the numerical examples that the selected expressions are suitable for describing the distributions of stiffness and mass of typical tall buildings and high-rise structures.

Post-fire flexural behavior of functionally graded fiber-reinforced concrete containing rubber

  • Nematzadeh, Mahdi;Mousavi, Reza
    • Computers and Concrete
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    • v.27 no.5
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    • pp.417-435
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    • 2021
  • The optimal distribution of steel fibers over different layers of concrete can be considered as an appropriate method in improving the structural performance and reducing the cost of fiber-reinforced concrete members. In addition, the use of waste tire rubber in concrete mixes, as one of the practical ways to address environmental problems, is highly significant. Thus, this study aimed to evaluate the flexural behavior of functionally graded steel fiber-reinforced concrete containing recycled tire crumb rubber, as a volume replacement of sand, after exposure to elevated temperatures. Little information is available in the literature regarding this subject. To achieve this goal, a set of 54 one-, two-, and three-layer concrete beam specimens with different fiber volume fractions (0, 0.25, 0.5, 1, and 1.25%), but the same overall fiber content, and different volume percentages of the waste tire rubber (0, 5, and 10%) were exposed to different temperatures (23, 300, and 600℃). Afterward, the parameters affecting the post-heating flexural performance of concrete, including flexural strength and stiffness, toughness, fracture energy, and load-deflection diagrams, along with the compressive strength and weight loss of concrete specimens, were evaluated. The results indicated that the flexural strength and stiffness of the three-layer concrete beams respectively increased by 10 and 7%, compared to the one-layer beam specimens with the same fiber content. However, the flexural performance of the two-layer beams was reduced relative to those with one layer and equal fiber content. Besides, the flexural strength, toughness, fracture energy, and stiffness were reduced by approximately 10% when a 10% of natural sand was replaced with tire rubber in the three-layer specimens compared to the corresponding beams without crumb rubber. Although the flexural properties of concrete specimens increased with increasing the temperature up to 300℃, these properties degraded significantly with elevating the temperature up to 600℃, leading to a sharp increase in the deflection at peak load.

Evaluation of Flexural Performance of Reinforced Concrete Shear Walls According to Flexural Retrofit by Wall End Excavating (단부 파쇄형 휨 보강에 따른 철근콘크리트 전단벽 휨 성능 평가)

  • Cho, Ui-Jin;Kim, Su-Yong;Bae, Baek-Il;Choi, Chang-Sik
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.36 no.4
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    • pp.123-133
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    • 2020
  • The purpose of this study is to analyze the method of retrofitting flexural strength and the flexural performance of retrofitted shear walls. There are various ways to reinforce the flexural strength of reinforced concrete shear wall structural systems that have already been built, in the case of that, the external force is increased, and the internal force is insufficient. However, there are various problems, such as excessive flexural stiffness after reinforcement and increasing the thickness and length of the wall. We have developed a retrofit method to solve these problems. The wall end is excavated to place the required vertical rebars, and concrete is poured after placing rebars. This is the same concept as creating wall end boundary elements later on. We also studied the anchorage method of reinforcement and the interaction method between the retrofitting end and the existing wall. The flexural test results for the reinforced concrete shear wall using the studied retrofit method can be predicted according to the sectional analysis and FEM analysis, and there are differences in the plastic hinge length, crack propagation, stiffness degradation and energy dissipation due to the bending depending on the vertical rebar ratio of wall end.

Structural Performance Evaluation on the Slab with the SFRC and Steel Deck-plate (데크플레이트를 사용한 강섬유보강콘크리트 슬래브의 구조성능 평가)

  • Hong, Geon-Ho;Chae, Byung-Min
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.34 no.7
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    • pp.3-10
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    • 2018
  • Steel fiber reinforced concrete can improve the resistance to cracking by adding steel fibers when mixing concrete. It can reduce the temperature and shrinkage cracks, and its flexural performance can be improved by increasing the effective moment of inertia. In this study, the deck-plate was used to replace the concrete form and reinforcing bars, and the steel fiber reinforced concrete was used to control the shrinkage and temperature cracks, and improve the flexural performance of the slab. Total 9 slab specimens were tested for analyzing the structural performance and serviceability. As a results, flexural capacity of the slab with deck-plate was evaluated to be superior to that of the normal reinforced concrete slab specimens with the same tensile reinforcement. The steel fiber reinforced concrete was found to have about 8% flexural capacity increase depending on the steel fiber content $15.7kg/m^3$. Also, in terms of flexural stiffness, the specimens using steel fiber reinforced concrete for the same parameters were evaluated to have a stiffness increase of about 30% compared with the case of using ordinary concrete. Especially, it was found that the stiffness of the test results was significantly higher than the analytical result because the increase of the tensile strength of the steel fiber reinforced concrete is not reflected in the current structural code.

Effect of Anchorage Number on Behavior of Reinforced Concrete Beams Strengthened with Glass Fiber Plates

  • Kaya, Mustafa;Kankal, Zeynel Cagdas
    • International Journal of Concrete Structures and Materials
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    • v.9 no.4
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    • pp.415-425
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    • 2015
  • Reinforced concrete beams with insufficient shear reinforcement were strengthened using glass fiber reinforced polymer (GFRP) plates. In the study, the effect of the number of bolts on the load capacity, energy dissipation, and stiffness of reinforced concrete beams were investigated by using anchor bolt of different numbers. Three strengthened with GFRP specimens, one flexural reference specimen designed in accordance to Regulation on Buildings Constructed in Disaster Areas rules, and one shear reinforcement insufficient reference specimen was tested. Anchorage was made on the surfaces of the beams in strengthened specimens using 2, 3 and 4 bolts respectively. All beams were tested under monotonic loads. Results obtained from the tests of strengthened concrete beams were compared with the result of good flexural reference specimen. The beam in which 4 bolts were used in adhering GFRP plates on beam surfaces carried approximately equal loads with the beam named as a flexural reference. The amount of energy dissipated by strengthened DE5 specimen was 96 % of the amount of energy dissipated by DE1 reference specimen. Strengthened DE5 specimen initial stiffness equal to DE1 reference specimen initial stiffness, but strengthened DE5 specimen yield stiffness about 4 % lower than DE1 reference specimen yield stiffness. Also, DE5 specimen exhibited ductile behavior and was fractured due to bending fracture. Upon the increase of the number of anchorages used in a strengthening collapsing manner of test specimens changed and load capacity and ductility thereof increased.

A Parametric Study of Flexural Stiffness Ratio on Floor Slabs for Seismic Design of Shear Wall Structures (전단벽식 구조물의 내진설계 시 합리적인 바닥판의 휨강성비 적용에 대한 연구)

  • Oh, Soon-Taek;Lee, Dong-Jun;Em, Young-Hoon
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.13 no.6 s.58
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    • pp.148-155
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    • 2009
  • A remarkable discrepancy of lateral deformation of shear wall structures for seismic loads due to a rigid diaphragm assumption without floor slab modelling asks a study how much effective the slab stiffness ratio is to the lateral behaviour. Typical shear wall type 15 stories structure is selected to analysis using MIDAS-ADS2008 commercial softwares modelling three types; 1) rigid diaphragm (RD model) 2) considered out-of plane slab flexural stiffness (DB model), and 3) considered in and out of plane slab flexural stiffness (SRC model). Based on National Code of KBC2005, the Equivalent Static and Response Spectrum seismic analysis are undertaken to compare each responses of the three models. The differences of lateral responses due to the three slab stiffness ratios applied on the models are compared and discussed.

Vibration Characterization of Cross-ply Laminates Beam with Fatigue Damage (피로 손상을 입은 직교 복합재료 적층보의 진동 특성)

  • 문태철;김형윤;황운봉;전시문;김동원;김현진
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2001.05a
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    • pp.1-4
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    • 2001
  • A new non-destructive fatigue prediction model of the composite laminates is developed. The natural frequencies of fatigue-damaged laminates under extensional loading are related to the fatigue lift of the laminates by establishing the equivalent flexural stiffness reduction as a function of the elastic properties of sublaminates. The flexural stiffness is derived by relating the $90^{\circ}$-ply elastic modulus reduction, and using the laminate plate theory to the degraded elastic modulus and the intact elastic modulus of other laminate. The natural frequency reduction model, in which the dominant fatigue mode can be identified from the sensitivity scale factors of sublaminate elastic properties, provides natural frequency vs. fatigue cycle curves for the composite laminates. Vibration tests were also conducted on $[\textrm{90}_{2}\textrm{0}_{2}]_s$ carbon/epoxy laminates to verify the natural frequency reduction model. Correlations between the predictions of the model and experimental results are good.

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A Study on Relationship of Fabric Physical Properties and Subjective Properties for Clothing Comfort (피복재료의 물리적특성과 주관적착용감과의 관계연구)

  • Choi Chul Ho;Park Woo Mee
    • Journal of the Korean Society of Clothing and Textiles
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    • v.10 no.2
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    • pp.29-35
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    • 1986
  • The main purpose of the study was to investigate relationships between subjective evaluation of comfort/discomfort and tactile sensation. It was also attempted to analyse physical properties of fabric, hence to find physical factors which have effects on wearing- comfort. The results were as follows; 1. Polyester fabric B Type ranked the highest on subjective comfort scale of T-shirts. 2. Scratchiness and flexural rigidity among subjective factors were important on overall comfort sensations of the subjects. 3, In winter, subjective factors, suchas Soratchiness, Heaviness & Flexural Rigidity, were significantly correlated with objective factors of Scratchiness, Thickness & Weight, Stiffness, respectively. 4. In summer, subjective factors such as warmth, Heaviness, Clammy & Cling Tension, Flexural Rigidity, were significantly correlated with objective factors of Thermal Insulation, Thickness & Weight, Cling Tension and stiffness, respertively. 5. Scratchiness, Weight, Stiffness & Thermal Insulation among objective factors were important on overall comfort sensation of the subjects.

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Static Analysis of Trapezoidal Corrugated Plates under Uniformly Distributed Load (균일 분포하중을 받는 사다리꼴 주름판의 정적 해석)

  • Kim, Young-Wann
    • Journal of Power System Engineering
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    • v.18 no.1
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    • pp.99-105
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    • 2014
  • In this paper, the static characteristics of the trapezoidal corrugated plate under uniformly distributed pressure are investigated by the analytical method. Because the corrugated plate is very flexible in the corrugation direction and stiff in the transverse direction, the corrugated plate is treated as the orthotropic plate. This equivalent orthotropic plate must include both the extensional and flexural effect to obtain the precise solution. The effective extensional and flexural stiffness of the trapezoidal corrugated plate are derived to consider these effects in the analysis. To demonstrate the validity of the proposed approach, the comparison is made with the previously published results. Some numerical results are presented to check the effect of the geometric properties.