• Title/Summary/Keyword: span/depth ratio

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Effects of Span-to-depth Ratio and Poisson's Ratio on Elastic Constants from Bending and Plate Tests

  • Jeong, Gi Young;Kong, Jin Hyuk
    • Journal of the Korean Wood Science and Technology
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    • v.43 no.2
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    • pp.177-185
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    • 2015
  • The goal of this study is to evaluate the limitation of ASTM D 198 bending and ASTM D 3044 in determination of elastic modulus and shear modulus. Different material properties and span to depth ratios were used to analyze the effects of material property and testing conditions. The ratio of true elastic modulus to apparent elastic modulus evaluated from ASTM D 198 bending sharply decreased with increment of span to depth ratio. Shear modulus evaluated from ASTM D 198 bending decreased with increment of depth, whereas shear modulus evaluated from ASTM D 3044 was hardly influenced by increment of depth. Poisson's ratio influenced shear modulus from ASTM D 198 bending but did not influence shear modulus from ASTM D 3044. Different shearing factor was obtained for different depths of beams to correct shear modulus obtained from ASTM D 198 bending equivalent to shear modulus from theory of elasticity. Equivalent shear modulus of materials could be obtained by applying different shearing factors associated with beam depth for ASTM D 198 bending and correction factor for ASTM D 3044.

Effects of deck's width-to-depth ratios and turbulent flows on the aerodynamic behaviors of long-span bridges

  • Lin, Yuh-Yi;Cheng, Chii-Ming;Lan, Chao-Yuan
    • Wind and Structures
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    • v.6 no.4
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    • pp.263-278
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    • 2003
  • This study investigates the effects of a bridge deck's width-to-depth (B/H) ratio and turbulence on buffeting response and flutter critical wind speed of long-span bridges by conducting section model tests. A streamlined box section and a plate girder section, each with four B/H ratios, were tested in smooth and turbulent flows. The results show that for the box girders, the response increases with the B/H ratio, especially in the vertical direction. For the plate girders, the vertical response also increases with the B/H ratio. However, the torsional response decreases as the B/H ratio increases. Increasing the B/H ratio and intensity of turbulence tends to improve the bridge's aerodynamic stability. Experimental results obtained from the section model tests agree reasonably with the calculated results obtained from a numerical analysis.

Capacity Evaluation of High Strength SFRC Beams according to Shear Span to Depth Ratio (전단경간비에 따른 고강도 SFRC보의 성능 평가)

  • Lee, Hyun-Ho
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.18 no.3
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    • pp.76-83
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    • 2014
  • The purpose of this study is to evaluate the shear strengthening effect of steel fiber in high strength SFRC beams. For this purpose, 13th specimens are prepared and structural tests are performed. Testing variables are shear span to depth ratio, steel fiber volume fraction, shear strengthening ratio in 60 MPa SFRC concrete. From the reviewing of previous researches and analyzing of material and member test results, shear span to depth ratio 2.5 and steel fiber volume fraction 1.0% can be having a maximum strengthening effect in steel fiber. Proposed shear strength estimation equation, which is considering steel fiber strengthening and shear span to depth ratio effect, underestimate the shear capacity of high strength SFRC beams. Therefore a detailed research on strength characteristics of high strength SFRC beams are needed.

Limit Span/Depth Ratio for Indirect Deflection Control in Reinforced Concrete Flexural Members (철근콘크리트 휨부재의 처짐 간접제어를 위한 한계 지간/깊이-비 연구)

  • Choi, Seung-Won;Kim, Woo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.1A
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    • pp.35-41
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    • 2011
  • In concrete structural design provisons, two methods are normally provided to control deflection; direct method and indirect method. It is more efficient to use the indirect deflection control by which the span/depth ratio is limited not to exceed an allowable deflection limit. Because actual deflections are affected by many causes, it is complicated to evaluate actual deflections. In this study, limit span/depth ratios are derived from the deflection calculated directly at the serviceability limit state in RC members. The deflection is obtained from using average curvature, which depends on materials model used. The main variables examined are tension stiffening effect, concrete strength, cross section size and compressive steel ratio. It could be appeared that more analytical consistency is secured to use the 2nd order form of tension stiffening effect. And the limit span/depth ratio is dependent on material strength, tensile and compressive steel ratio but it is independent on cross-section size.

Shear Capacity of Reinforced Concrete Haunched Beams by Shear Span-to-Depth Ratio and Haunch Slope (경간비와 헌치 기울기 변화에 따른 철근콘크리트 헌치보의 전단성능에 관한 연구)

  • Song, Ho-San
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.6 no.1
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    • pp.119-129
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    • 2002
  • Reinforced concrete haunched beams have been used for enhancement of shear resistance of beams to avoid the stress concentration. But American and British codes do not give my formula for the design of haunched beams. The purpose of this research is to experimentally investigate the shear failure of reinforced concrete punched beams for various haunch inclinations and shear span-to-depth ratios. The experimental results showed that even though shear behavior of haunched beam were similar to that of resembled rectangular beams, shear span-to-depth ratios and inclinations of haunch had effects on shear cracking strength.

Behavior of reinforced concrete corbels

  • Lu, Wen-Yao;Lin, Ing-Jaung
    • Structural Engineering and Mechanics
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    • v.33 no.3
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    • pp.357-371
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    • 2009
  • Test results of thirteen reinforced concrete corbels with shear span-to-depth ratio greater than unity are reported. The main variables studied were compressive strength of concrete, shear span-to-depth ratio and parameter of vertical stirrups. The test results indicate that the shear strengths of corbels increase with an increase in compressive strength of concrete and parameter of vertical stirrups. The shear strengths of corbels also increase with a decrease in shear span-to-depth ratio. The smaller the shear span-to-depth ratio of corbel, the larger the stiffness and the shear strength of corbel are. The higher the concrete strength of corbel, the higher the stiffness and the shear strength of corbel are. The larger the parameter of vertical stirrups, the larger the stiffness and the shear strength of corbel are. The softened strut-and-tie model for determining the shear strengths of reinforced concrete corbels is modified appropriately in this paper. The shear strengths predicted by the proposed model and the approach of ACI Code are compared with available test results. The comparison shows that the proposed model can predict more accurately the shear strengths of reinforced concrete corbels than the approach of ACI Code.

Experimental Study on Post-tensioned 3-Continuous Span Slabs (포스트텐션된 3연속 스팬 슬래브의 실험연구)

  • 임재형;문정호;이리형
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.10b
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    • pp.668-673
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    • 1998
  • The specimen of current study has the same type with the 3-span slabs of Burns et al used in the study by Mojtahedi/Gamble, which laid a ground for the revision of the ACI318-77 code to the ACI 318-83 code. But those specimens was failed prematurely before it reached the ultimate strength which the specimen had. The reason is that bonded reinforcements were cut off where there is no need for the flexural reinforcement. As results. the slabs failed ultimately where the reinforcements was cut off. Thus, the tendon stresses of failure may have been much smaller than the values which culd reach if the bonded reinforcements were extended beyond the theoretical cut off points. On the based on the fact mentioned above. the specimens which had the same conditions as the specimens of Burns et al were used in the current study, but in which the reinforcements were distributed in a sequence for the reinforcements not to be cut anywhere in the 3-span. As a results, it was known that the current ACI code, revised by the result of Mojtahedi/Gamble's study, overestimated the effect of span/depth ratio on the members with high span/depth ratio. Thus it was concluded that the effect of span/depth ratio on the ultimate stress of unbonded tendon regulated by the current ACI code must be reconsidered and reevaluated.

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Shear Capacity of Higth-Strength Concrete Beams With a Shear Span-Depth Ratio Between 1.5 and 2.5 (전단-스팬비가 작은 고강도철근콘크리트 보의 전단성능)

  • 문정일;안종문;김대근;이광수;이승훈;오정근;장일영;신성우
    • Proceedings of the Korea Concrete Institute Conference
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    • 1992.10a
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    • pp.106-110
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    • 1992
  • This paper is an experimental study on shear capacity of the high strength R/C beams with a shear span-depth ratio between 1.5 and 2.5. a total of 15 beams was tested to determine diagonal cracking and ultimate shear strength. The major variables are shear span-depth ratio (a/d=1.5, 2.0. 2.5) , vertical shear reinforcements ratio(Vs = 0 , 25, 50, 75, 100% ( Vs = Pv/Pv(ACI)), and concrete compressive strength (f'c= 747㎏/㎠). Test results indicate that ACI 318-89 Eq(11-31) generally underestimates shear strength carried by vertical shear reinforcements, and the mode of failure may change from shear tension to shear compression for the beams having higher Vs than 75%, thus the effectiveness of r-fy on ultimate shear strength (vu) decreased.

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Shear strength prediction of PRC coupling beams with low span-to-depth ratio

  • Tian, Jianbo;Shen, Dandan;Li, Shen;Jian, Zheng;Liu, Yunhe;Ren, Wengeng
    • Earthquakes and Structures
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    • v.16 no.6
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    • pp.757-769
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    • 2019
  • The seismic performance of a coupled shear wall system is governed by the shear resistances of its coupling beams. The plate-reinforced composite (PRC) coupling beam is a newly developed form of coupling beam that exhibits high deformation and energy dissipation capacities. In this study, the shear capacity of plate-reinforced composite coupling beams was investigated. The shear strengths of PRC coupling beams with low span-to-depth ratios were calculated using a softened strut-and-tie model. In addition, a shear mechanical model and calculating method were established in combination with a multi-strip model. Furthermore, a simplified formula was proposed to calculate the shear strengths of PRC coupling beams with low span-to-depth ratios. An analytical model was proposed based on the force mechanism of the composite coupling beam and was proven to exhibit adequate accuracy when compared with the available test results. The comparative results indicated that the new shear model exhibited more reasonable assessment accuracy and higher reliability. This method included a definite mechanical model and reasonably reflected the failure mechanisms of PRC coupling beams with low span-to-depth ratios not exceeding 2.5.

Parametric study for influential factors on unbonded tendon stress increase (비부착 긴장재의 응력 변화에 영향을 미치는 변수에 관한 고찰)

  • 이선화;문정호;임재형
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.04a
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    • pp.651-656
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    • 2000
  • The strain compatibility analysis shows that the influential parameters of loading type, reinforcing ratio, and span-depth ratio affect on the tendon stress in unbonded prestresses concrete member significantly. However, existing test results did not comply exactly with the analytical results. In consequence, the present study was planned to examine the parameters in order to complete Moon/Lim's design equation. The test variables with 12 specimens were loading type, reinforcing ratio, and span-depth ratio. As results, the effect of influential parameters were examined throughly and Moon/Lim's design equation was proven to be accurate.

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