• Title/Summary/Keyword: moment ratio

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Experimental and analytical study on continuous GFRP-concrete decks with steel bars

  • Tong, Zhaojie;Chen, Yiyan;Huang, Qiao;Song, Xiaodong;Luo, Bingqing;Xu, Xiang
    • Structural Engineering and Mechanics
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    • v.76 no.6
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    • pp.737-749
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    • 2020
  • A hybrid bridge deck is proposed, which includes steel bars, concrete and glass-fiber-reinforced-polymer (GFRP) plates with channel sections. The steel bar in the negative moment region can increase the flexural stiffness, improve the ductility, and reduce the GFRP ratio. Three continuous decks with different steel bar ratios and a simply supported deck were fabricated and tested to study the mechanical performance. The failure mode, deflection, strain distribution, cracks and support reaction were tested and discussed. The steel bar improves the mechanical performance of continuous decks, and a theoretical method is proposed to predict the deformation and the shear capacity. The experimental results show that all specimens failed with shear failure in the positive moment region. The increase of steel bar ratio in the negative moment region can achieve an enhancement in the flexural stiffness and reduce the deflection without increasing GFRP. Moreover, the continuous deck can achieve a yield load, and the negative moment can be carried by GFRP plates after the steel bar yields. Finally, a nonlinear analytical method for the deflection calculation was proposed and verified, with considering the moment redistribution, non-cracked sections and nonlinearity of material. In addition, a simplified calculation method was proposed to predict the shear capacity of GFRP-concrete decks.

An Experimental Study on the Flexural Rigidity of Reinforced High Strength Concrete Beams (고강도철근콘크리트 보의 휨강성에 관한 실험적 연구)

  • 고만영;김상우;김용부
    • Journal of the Korea Concrete Institute
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    • v.12 no.2
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    • pp.71-78
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    • 2000
  • This paper presents a study on the flexural rigidity of reinforced high strength concrete beams. Thirty six beams with different compressive strength of concrete, tensile reinforcement ratio, compressive reinforcement ratio, and pattern of loadings(1 point loading and 2 points loading) were tested to evaluate the effective moment of inertia. According to the experimental results, the eqation(1) proposed by ACI code for the effective moment of inertia overestimated that of simply supported reinforced high strength concrete beams. Thus, in this paper, an empirical equation(3) is proposed as a lower bound of 90% confidence limit to estimate the effective moment of inertia of simply supported reinforced high strength concrete beams.

Flapwise Bending Vibration of Rotating Timpshenko Beams with Concentrated Mass and Mass Moment of Inertia (집중 질량및 관성 모멘트를 갖는 회전하는 티모센코 보의 면외굽힘 진동)

  • 박정훈;유홍희
    • Journal of KSNVE
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    • v.8 no.2
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    • pp.353-360
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    • 1998
  • In this paper, a modeling method for the bending vibration analysis of rotating Timoshenko beams with concentrated mass and mass moment of inertia is presented. The shear and rotary inertia effects become critical for the accurate estimation of the natural frequencies and mode shapes as the slenderness ratio decreases. The natural frequencies obtained by using the Timoshenko beam theory are lower than those by using the Euler beam theory. The critical angular speed, which does not exist only with the concentrated mass, exists with the concentrated mass moment of inertia.

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Simplified Nonlinear Static Progressive Collapse Analysis of Steel Moment Frames (철골모멘트골조의 비선형 정적 연쇄붕괴 근사해석)

  • Lee, Cheol-Ho;Kim, Seon-Woong
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.698-703
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    • 2007
  • A simplified model which incorporates the moment-axial tension interaction of the double-span beams in a column-removed steel frame is presented in this paper. To this end, material and geometric nonlinear parametric finite element analyses were conducted for the double-span beams by changing the beam span to depth ratio and the beam size within some practical ranges. The beam span to depth ratio was shown to be the most influential factor governing the catenary action of the double-span beams. Based on the parametric analysis results, a simplified piecewise linear model which can reasonably describe the vertical, resisting force versus the beam chord rotation relationship was proposed. It was also shown that the proposed method can readily be used for the energy-based progressive collapse analysis of steel moment frames.

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Analysis of Folded Dipole Antenna by Moment Methods (모멘트법에 의한 접힌 안테나의 특성해석)

  • 이상설
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.15 no.2
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    • pp.15-18
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    • 1978
  • The impedance step up ratio and variations of input admittances of the folded dipole antenna are calculated by the moment method. The results are compared with those calculated by Guertler's formula. The input admittance of the folded dipole antenna has the maximum value at the frequency somewhat lower than the resonance frequency and its susceptance which has periodic properly is null lot several different frequencies if radius ratio of two elements is not very large. Frequency characteristic of folded dipole antenna is improved when its radius ratio is increased.

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Effect of confinement on flexural ductility design of concrete beams

  • Chen, X.C.;Bai, Z.Z.;Au, F.T.K.
    • Computers and Concrete
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    • v.20 no.2
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    • pp.129-143
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    • 2017
  • Seismic design of reinforced concrete (RC) structures requires a certain minimum level of flexural ductility. For example, Eurocode EN1998-1 directly specifies a minimum flexural ductility for RC beams, while Chinese code GB50011 limits the equivalent rectangular stress block depth ratio at peak resisting moment to achieve a certain nominal minimum flexural ductility indirectly. Although confinement is effective in improving the ductility of RC beams, most design codes do not provide any guidelines due to the lack of a suitable theory. In this study, the confinement for desirable flexural ductility performance of both normal- and high-strength concrete beams is evaluated based on a rigorous full-range moment-curvature analysis. An effective strategy is proposed for flexural ductility design of RC beams taking into account confinement. The key parameters considered include the maximum difference of tension and compression reinforcement ratios, and maximum neutral axis depth ratio at peak resisting moment. Empirical formulae and tables are then developed to provide guidelines accordingly.

Flexural behavior of concrete beams reinforced with aramid fiber reinforced polymer (AFRP) bars

  • Kim, Min Sook;Lee, Young Hak;Kim, Heecheul;Scanlon, Andrew;Lee, Junbok
    • Structural Engineering and Mechanics
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    • v.38 no.4
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    • pp.459-477
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    • 2011
  • Due to the low elastic modulus of FRP, concrete members reinforced with FRP rebars show greater deflections than members reinforced with steel rebars. Deflection is one of the important factors to consider the serviceability of horizontal members. In this study flexural test of AFRP reinforced concrete beams was performed considering reinforcement ratio and compressive strength as parameters. The test results indicated that flexural capacity and stiffness increase in proportion to the reinforcement ratio. The test results were compared with existing proposed equations for the effective moment of inertia including ACI 440. The most of the proposed equations were found to over-estimate the effective moment of inertia while the equation proposed by Bischoff and Scanlon (2007) most accurately predicted the values obtained through actual testing.

Pure bending creep of SUS 304 stainless steel tubes

  • Lee, Kuo-Long;Pan, Wen-Fung
    • Steel and Composite Structures
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    • v.2 no.6
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    • pp.461-474
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    • 2002
  • This paper presents the experimental and theoretical results of SUS 304 stainless tubes with different diameter-to-thickness ratio (D/t ratio) subjected to pure bending creep. Pure bending creep occurs when a circular tube is bent to a desired moment and held at that moment for a period of time. It was found that the magnitudes of the creep curvature and ovalization of tube cross-section increase faster with a higher hold moment than that with a lower one. Due to continuously increasing curvature, the circular tubes eventually buckle. Finally, a theoretical form was proposed in this study so that it can be used to describe the relationship between the creep curvature and time. Theoretical simulations are compared with the experimental test data, showing that good agreement between the experimental and theoretical results has been achieved.

Bending Properties and Recommened Design Criteria for Domestic Softwood with Notch (파임을 가진 국산 침엽수재의 휨성능 및 구조설계기준에 관한 연구)

  • Oh, Sei-Chang
    • Journal of the Korean Wood Science and Technology
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    • v.26 no.4
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    • pp.6-12
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    • 1998
  • Test results of domestic softwood lumber were presented to examine the notch effect of beams and compare to present AIJ(Architecture Institute of Japan) formula in notched wood member especially positioned in bottom side (tension side) of a beam. Notched lumber was tested under following condition : each specimen supported simply, and subjected to third-point loading at points of 1/3 of the span length. Notch was located opposite side to loading direction and notch depth were 1/6, 1/4, 1/3 of beam depth. Deflection and load were measured by digital dial guage each in 25kgf increment. Bending test results were as follows; Mpro/Mmax range (proportional and maxium bending moment ratio in notched beam) was 0.5 - 0.65. It was considered that maxium bending moment was about 1.5 times to proportional bending moment in notched beam and showed same tendency in the test result of ordinary wood specimens. AU standard formula for the tension side notch, Mmat = 0.6 ${\times}$ (Zo $\sigma$), the constant 0.6 was suitble for notch ratio(notch depth to beam depth) 1/6, but this ratio for 1/4, and 1/3 was not. So it is preferable to accept smaller value than 0.6 for notch ratio more than 1/3. These experiment results showed critical effect in tension side notched wood beam especially in greater than notch ratio 1.3 of wood beam. From the above results, it is recommened to revise design formula adoptable to domestic wood constructon member with tension side notched member.

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Stress Drop Characteristics of the Tsunami Generating Earthquake (해일유발지진의 응력강하 특성)

  • Oh, Seok-Hoon;Youn, Yong-Hoon;Yang, Jun-Mo;Kim, Suek-Yung;Lee, Duk-Kee
    • Journal of the Korean earth science society
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    • v.24 no.8
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    • pp.704-710
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    • 2003
  • A study for analysing the characteristics of the 'Tsunami Earthquake' and 'Tsunamigenic Earthquake' has been done in terms of stress drop and tectonic characteristics using previous studies on magnitude, moment, energy, and length of fault. The 'Tsunami Earthquake' seemed to occur mainly on the subduction environment with a very low stress drop of about 10 bars and a thrust dip angle comparing those of the 'Tsunamigenic Earthquake' or other earthquakes. Released energy to moment ratio of the 'Tsunami Earthquake' also seemed to be lower. Earthquakes which generated tsunami in the East Sea seemed to be 'Tsunamigenic Earthquake' with a stress drop of about 30${\sim}$50 bars, and an average energy to moment ratio. Hence, stress drop, energy to moment ratio, and thrust dip angle seem to be indicators of earthquakes that produce tsunamis.