• Title/Summary/Keyword: shear strength equations

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Thickness of shear flow path in RC beams at maximum torsional strength

  • Kim, Hyeong-Gook;Lee, Jung-Yoon;Kim, Kil-Hee
    • Computers and Concrete
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    • v.29 no.5
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    • pp.303-321
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    • 2022
  • The current design equations for predicting the torsional capacity of RC members underestimate the torsional strength of under-reinforced members and overestimate the torsional strength of over-reinforced members. This is because the design equations consider only the yield strength of torsional reinforcement and the cross-sectional properties of members in determining the torsional capacity. This paper presents an analytical model to predict the thickness of shear flow path in RC beams subjected to pure torsion. The analytical model assumes that torsional reinforcement resists torsional moment with a sufficient deformation capacity until concrete fails by crushing. The ACI 318 code is modified by applying analytical results from the proposed model such as the average stress of torsional reinforcement and the effective gross area enclosed by the shear flow path. Comparison of the calculated and observed torsional strengths of existing 129 test beams showed good agreement. Two design variables related to the compressive strength of concrete in the proposed model are approximated for design application. The accuracy of the ACI 318 code for the over-reinforced test beams improved somewhat with the use of the approximations for the average stresses of reinforcements and the effective gross area enclosed by the shear flow path.

The shear strength of RC rectangular sectional columns considering displacement ductility (변위연성도를 고려한 RC 사각단면 기둥의 전단강도)

  • Sun, Chang-Ho;Kim, Ick-Hyun
    • Journal of the Earthquake Engineering Society of Korea
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    • v.14 no.2
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    • pp.37-47
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    • 2010
  • In order to attain enhanced seismic performance of RC bridges, premature shear failure prior to the achievement of target ductilities of the piers should be prevented. For this purpose, a reliable shear strength evaluation is required. The shear strength of an RC column subjected to a lateral force decreases with an increase in ductility. Many empirical equations for the shear strength have been proposed by many researchers. However, there are many discrepancies in the initial shear strength in the low ductility range, and in the decrease rate according to the ductility. In this study, a new empirical equation of shear strength considering the displacement ductility effect has been proposed, in which the initial shear strength equation proposed by the authors was revised on the basis of the investigation of many other researchers' test results. The resulting improvement in accuracy is confirmed by comparison with other empirical equations.

Concrete Shear Strength of FRP Reinforced Concrete Beam (FRP 보강근을 사용한 콘크리트 보의 콘크리트 전단강도)

  • Cho, Jae Min;Jang, Hee Suk;Kim, Myung Sik;Kim, Chung Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.3A
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    • pp.259-266
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    • 2009
  • This study is to develop equations that consider the elastic modulus ratio of FRP bar and steel reinforcement, shear span to depth ratio, and flexural reinforcement ratio of FRP bar, to determine concrete shear strength of FRP reinforced concrete beams without shear reinforcement. As experimental parameters, 2 types of FRP bar, 3 types of shear span to depth ratio, and 3 types of flexural reinforcement were used. Experimental results for two of shear span to depth ratio were quoted from previous study to evaluate effect of shear span to depth ratio in more detail. Shear strength correction factors needed for evaluating concrete shear strength were proposed from regression analysis using above experimental results. Equations suggested from this study and other codes were examined and compared with 31 experimental results available in the literature. From this comparison, it could be known that the equation suggested from this study gives the most approaching result to experimental results.

Initial Shear Strength of Hollow Sectional Columns Subjected to Lateral Force (횡하중을 받는 RC 중공단면 기둥의 초기전단강도)

  • Sun, Chang-Ho;Kim, Ick-Hyun
    • Journal of the Earthquake Engineering Society of Korea
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    • v.13 no.2
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    • pp.1-14
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    • 2009
  • Ductility-based seismic design is strongly required for the rational and cost-effective design of RC piers, and a reliable evaluation of shear strength is indispensable for its success. Unlike the flexural behavior of RC columns, shear behavior is highly complex, due to its many effects such as size, aspect ratio, axial force, ductility and so on. To address this, many design and empirical equations have been proposed considering these effects. However, these equations show significant differences in their evaluation of the initial shear strength, and the reduction in strength with the increase of ductility. In this study, the characteristics of initial shear strength of hollow sectional columns were investigated using experiments with the parameters of aspect ratios, void ratios, web area ratios and load patterns. The test results were analyzed through a comparison with the values predicted by empirical equations. On the basis of the mechanical characteristics and test results, a new empirical equation was proposed, and its validity was assessed.

Shear Strength Equation for Slender Diagonally Reinforced Coupling Beam (세장한 대각보강 연결보의 전단강도 예측식)

  • Han, Sang Whan;Kang, Jin Wook;Han, Chan Hee
    • Journal of the Earthquake Engineering Society of Korea
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    • v.20 no.6
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    • pp.361-368
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    • 2016
  • Coupling beams serve as primary source of energy dissipation in coupled shear wall systems during large earthquakes. However, the overestimation of the shear strength of diagonally reinforced coupling beams may be adverse effect on the seismic performance of coupled shear wall systems. In order to force coupling beams to properly work during earthquakes, coupling beams should be designed with accurate shear strength equations. The objective of this study is to propose the accurate shear strength equation for slender diagonally reinforced coupling beams. For this purpose, experimental tests were conducted using three diagonally reinforced coupling specimens with different amount of transverse reinforcement under reversed cyclic loads to evaluate the hysteretic behavior of the specimens. The test results show that transverse reinforcement of slender diagonally reinforced coupling beam affects the maximum strength and drift ratio.

Modified models predicting punching capacity of edge column-slab joints considering different codes

  • Hamdy A. Elgohary;Mohamed A. El Zareef
    • Structural Engineering and Mechanics
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    • v.89 no.4
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    • pp.363-374
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    • 2024
  • Significant changes have been made to estimate the punching shear capacity for edge column-slab joints in the latest editions of most current codes. The revised equations account for axial forces as well as moments conveyed to columns from slabs, which have a substantial impact on the punching resistance of such joints. Many key design parameters, such as reinforcement-ratio, concrete strength, size-effect, and critical-section perimeter, were treated differently or even ignored in various code provisions. Consequently, wide ranges of predicted punching shear strength were detected by applying different code formulas. Therefore, it is essential to assess the various current Codes' design-equations. Because of the similarity in estimated outcomes, only the ACI, EC, and SNiP are used in this study to cover a wide range of estimation ranges from highly conservative to unconservative. This paper is devoted to analyzing the techniques in these code provisions, comparing the estimated punching resistance with available experimental data, and finally developing efficient models predicting the punching capacity of edge column-slab connections. 63 samples from past investigations were chosen for validation. To appropriately predict the punching shear, newly updated equations for ACI and SNiP are provided based on nonlinear regression analysis. The proposed equations'results match the experimental data quite well.

Model Equation for Shear Strength of Reinforced Concrete Beams without Web Reinforcement (전단보강근이 없는 철근콘크리트 보의 전단강도 예측 모델식 제안)

  • 김진근;박연동
    • Proceedings of the Korea Concrete Institute Conference
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    • 1993.04a
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    • pp.124-129
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    • 1993
  • In this study, a simple and accurate model equation for prediction of shear strength of reinforce concrete beams without web, reinforcement is proposed based on basic shear transfer mechanism and modified Bazant's size effect law. The proposed equation includes the effects of concrete strength, longitudinal steel ratio, shear span to depth ratio and effective depth. Comparisons with published experimental data indicate that the proposed equation estimates properly the effects of these factors. Among many equations, ACI code equation, Zsutty's equation and Bazant's equation are selected for comparison. As the result, the accuracy of the proposed equation is better than that of any other equations.

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An Experimental Study on Block Shear Strength of Carbon Steel Fillet Welded Connection with Base Metal Fracture (탄소강 용접접합부의 모재블록전단내력에 관한 실험적 연구)

  • Lee, Hwa-Young;Hwang, Bo-kyung;Lee, Hoo-Chang;Kim, Tea-Soo
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.34 no.1
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    • pp.11-18
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    • 2018
  • An experimental study on the ultimate behaviors of the mild carbon steel (SPHC) fillet-welded connection is presented in this paper. Seven specimens were fabricated by the shielded metal arc welding (SMAW). All specimens failed by typical block shear fracture in the base metal of welded connections not weld metal. Block shear fracture observed in the base metal of welded connection is a combination of single tensile fracture transverse to the loading direction and two shear fractures longitudinal to the loading direction. Test strengths were compared with strength predictions by the current design equations and suggested equations by previous researchers. It is known that current design specifications (AISC2010 and KBC2016) and Oosterhof & Driver's equation underestimated overly the ultimate strength of the welded connection by on average 44%, 31%, respectively and prediction by Topkaya's equation was the closest to the test results. Consequently, modified equation is required to be proposed considering the stress triaxiality effect and material property difference on the block shear strength for base metal fracture in welded connections fabricated with mild carbon steel.

The Steel Coupling Beam-Wall Connections Strength

  • Park, Wan-Shin;Yun, Hyun-Do
    • Journal of the Korea Concrete Institute
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    • v.18 no.1 s.91
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    • pp.135-145
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    • 2006
  • In high multistory reinforced concrete buildings, coupled shear walls can provide an efficient structural system to resist horizontal force due to wind and seismic effects. Coupled shear walls are usually built over the whole height of the building and re laid out either as a series of walls coupled by beams and/or slabs or a central core structure with openings to accommodate doors, elevators walls, windows and corridors. A number of recent studies have focused on examining the seismic response of concrete, steel, and composite coupling beams. However, since no specific equations are available for computing the bearing strength of steel coupling beam-wall connections, it is necessary to develop such strength equations. There were carried out analytical and experimental studies to develop the strength equations of steel coupling beam-connections. Experiments were conducted to determine the factors influencing the bearing strength of the steel coupling beam-wall connection. The results of the proposed equations were in good agreement with both test results and other test data from the literature. Finally, this paper provides background for design guidelines that include a design model to calculate the bearing strength of steel coupling beam-wall connections.

Experimental investigation of shear connector behaviour in composite beams with metal decking

  • Qureshi, Jawed;Lam, Dennis
    • Steel and Composite Structures
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    • v.35 no.4
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    • pp.475-494
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    • 2020
  • Presented are experimental results from 24 full-scale push test specimens to study the behaviour of composite beams with trapezoidal profiled sheeting laid transverse to the beam axis. The tests use a single-sided horizontal push test setup and are divided into two series. First series contained shear loading only and the second had normal load besides shear load. Four parameters are studied: the effect of wire mesh position and number of its layers, placing a reinforcing bar at the bottom flange of the deck, normal load and its position, and shear stud layout. The results indicate that positioning mesh on top of the deck flange or 30 mm from top of the concrete slab does not affect the stud's strength and ductility. Thus, existing industry practice of locating the mesh at a nominal cover from top of the concrete slab and Eurocode 4 requirement of placing mesh 30 mm below the stud's head are both acceptable. Double mesh layer resulted in 17% increase in stud strength for push tests with single stud per rib. Placing a T16 bar at the bottom of the deck rib did not affect shear stud behaviour. The normal load resulted in 40% and 23% increase in stud strength for single and double studs per rib. Use of studs only in the middle three ribs out of five increased the strength by 23% compared to the layout with studs in first four ribs. Eurocode 4 and Johnson and Yuan equations predicted well the stud strength for single stud/rib tests without normal load, with estimations within 10% of the characteristic experimental load. These equations highly under-estimated the stud capacity, by about 40-50%, for tests with normal load. AISC 360-16 generally over-estimated the stud capacity, except for single stud/rib push tests with normal load. Nellinger equations precisely predicted the stud resistance for push tests with normal load, with ratio of experimental over predicted load as 0.99 and coefficient of variation of about 8%. But, Nellinger method over-estimated the stud capacity by about 20% in push tests with single studs without normal load.