• Title/Summary/Keyword: Effective Stress

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Effective width of steel-concrete composite beams under negative moments in service stages

  • Zhu, Li;Ma, Qi;Yan, Wu-Tong;Han, Bing;Liu, Wei
    • Steel and Composite Structures
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    • v.38 no.4
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    • pp.415-430
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    • 2021
  • The effective flange width was usually introduced into elementary beam theory to consider the shear lag effect in steel-concrete composite beams. Previous studies have primarily focused on the effective width under positive moments and elastic loading, whereas it is still not clear for negative moment cases in the normal service stages. To account for this problem, this paper proposed simplified formulas for the effective flange width and reinforcement stress of composite beams under negative moments in service stages. First, a 10-degree-of-freedom (DOF) fiber beam element considering the shear lag effect and interfacial slip effect was proposed, and a computational procedure was developed in the OpenSees software. The accuracy and applicability of the proposed model were verified through comparisons with experimental results. Second, a method was proposed for determining the effective width of composite beams under negative moments based on reinforcement stress. Employing the proposed model, the simplified formulas were proposed via numerical fitting for cases under uniform loading and centralized loading at the mid-span. Finally, based on the proposed formulas, a simplified calculation method for the reinforcement stress in service stages was established. Comparisons were made between the proposed formulas and design code. The results showed that the design code method greatly underestimated the contribution of concrete under negative moments, leading to notable overestimations in the reinforcement stress and crack width.

Analysis of Effective Stress Parameter on Partially Saturated Soil via Hydro-Mechanical Behaviors (부분포화토의 침투와 흙의 거동에 따른 유효응력 계수 분석)

  • Kim, Jae-Hong;Kim, You-Seong
    • Journal of the Korean Geotechnical Society
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    • v.27 no.12
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    • pp.117-126
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    • 2011
  • Based on thermodynamics, the mathematical framework governing the hydro-mechanical behavior of partially saturated soil is derived by using balance equations, and the numerical analysis through implementation of various effective stress definitions is performed. Effective stress on partially saturated soil describes the soil strength which is presented by the relationship between water content and soil suction. For the estimation of hydro-mechanical behavior on partially saturated soil, effective stress parameter ${\chi}$ defined from various literatures is especially analyzed to understand the conditions of constitutive equations regarding residual saturation and displacement of soil. As a result, effective stress parameter ${\chi}$ has an influence on the variation of matric suction in soil with an external load and seepage. However it was found that the effect of each parameter ${\chi}$ varies with residual degree of saturation, and that of each parameter ${\chi}$ decreased with decrease in displacement of soil caused by an external load.

Numerical Analysis of Dynamic Centrifuge Model Tests Using an Effective Stress Model (유효응력모델을 이용한 동적 원심모형실험의 수치해석)

  • Park Sung-Sik;Kim Young-Su
    • Journal of the Korean Geotechnical Society
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    • v.22 no.1
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    • pp.25-34
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    • 2006
  • In this study an effective stress numerical procedure is used to assess the results of dynamic centrifuge tests under high effective stress. The centrifuge models consist of loose Nevada sand with an initial vertical effective stress of 380kPa at depth, and they are modeled as a one-dimentional soil column. Liquefaction occurred up to 37m or 22m at depth, and the onset of liquefaction triggering was opposite to the conventional liquefaction evaluation procedure. In other words, liquefaction occurs first at the top and propagates downward as shaking continues. The results observed in centrifuge tests are reasonably predicted by the effective stress model. It is noted that the degree of initial saturation and additional densification at depth arising from the application of the high acceleration field play a key role in capturing the results of dynamic centrifuge tests.

Effect of Residual Stress on Fatigue Crack Growth Rate at Welds of SUS-304 Steel (SUS-304강 용접부의 잔류응력이 피로균열진전속도에 미치는 영향)

  • 이택순;양현태
    • Journal of Welding and Joining
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    • v.15 no.4
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    • pp.187-193
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    • 1997
  • In the weldmentsm the crack propagation rate is changed due to the residual stress. The crack propagation rate is high in the region with the residual stress. However it shows rhw same behavior with the base metal in the region that does not include the residual stress. The fatigue crack growth rate for the material with residual stresses can be predicted more precisely by using the effective stress ratio. The difference between experimental results and prediction results in the initial stage seems to be due to the redistribution of residual stresses and microstructural change.

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Liquefaction Behaviour and Prediction of Deviator Stress for Unsaturated Silty Sand

  • Lee, Dal-Won
    • Journal of The Korean Society of Agricultural Engineers
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    • v.48 no.7
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    • pp.35-43
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    • 2006
  • This study was carried out to investigate the liquefaction behaviour and predict deviator stress with matric suction, of unsaturated silty sand. The unsaturated soil tests were conducted using a modified triaxial cell and specimens were prepared using the moisture tamping method. The axis translation technique was used to create the desired matric suctions in the specimen. Undrained triaxial compression tests were carried out at matric suction of 0, 2, 5, 10 and 25 kPa. The specimens were sheared to axial strains of about 20% to obtain steady state conditions. The results showed that liquefaction of silty sand only occurs at matric suction of 0 kPa and 2 kPa. The results also show that at matric suctions of 5, 10 and 25 kPa, the resistance to liquefaction increases. As the suction increases, the undrained effective stress path approached the drained stress path. Also, the predicted and measured maximum deviator stress for unsaturated soils using the effective stress concept showed good agreement as matric suction increases. The deviator stress increase is nonlinear as matric suction increases.

Sub­surface Stress Distribution beneath the Contact Surface of the Gear Teeth for Two Profile Models (치면 프로파일 모델에 따른 기어 치면 내부의 응력 분포)

  • 구영필;오명석;김형자;김영대
    • Tribology and Lubricants
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    • v.19 no.6
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    • pp.357-364
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    • 2003
  • The sub­surface stress field beneath the gear's contact surface caused by the contact pressure in lubricated condition has been calculated. To evaluate the influence of the clearance shape on the stress field, two kinds of tooth profile models were chosen. One is the conventional cylinder contact model and the other is the new numerical model. Love's rectangular patch solution was used to obtain the sub­surface stress field. The analysis results show that the sub­surface stress is quite dependent on both the contact pressure and the profile model. The maximum effective stress of the new model is lower than that of the old model. The depth where the maximum effective stress occurs in the new model is not proportional to the intensity of the external load.

A Comparative Study of the Fatigue Strength on Cruciform Joints by Local Stress Methods (십자형 용접부 피로강도 산정을 위한 국부응력법의 비교연구)

  • Yang, Park-Dal-Chi;Ahn, Jung-Hyun
    • Journal of the Society of Naval Architects of Korea
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    • v.47 no.4
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    • pp.573-579
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    • 2010
  • The notch effects on the fatigue strength of welded joints are both stress concentration and fatigue strength reduction. In the notch stress approach, the notch effects are usually approximated by introducing weld-bead parameters for the local detailed weld joints. In this paper, well-known notch stress approaches - critical distance method, area method and fictitious rounding method are presented for the fatigue strength of cruciform joints. The estimated results of the present methods are applied to the experiments performed in this study and reported in the references. The results of the application show that the fatigue-life scatterness of the experimental data expressed in the nominal stress is significantly reduced by introducing the effective fatigue stress of the present study.

Sub-surface Stress Analysis on Spur Gear Teeth in the EHL Conditions

  • Koo, Young-Pil;Kim, Tae-Wan;Cho, Yong-Joo
    • KSTLE International Journal
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    • v.5 no.1
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    • pp.14-22
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    • 2004
  • The sub-surface stress field beneath the gear's contact surface caused by the surface pressure in lubricated condition is analyzed. To evaluate the influence of the clearances between a gear tooth and a pinion tooth on the stress field, two kinds of tooth profile models - conventional cylinder contact model and new numerical model - were chosen. Kinematics of the gear is taken into account to obtain the numerical model which is the accurate geometric clearances between a gear tooth and a pinion tooth. Transient elasto-hydrodynamic lubrication (EHL) analysis is performed to get the surface pressure. The sub-stress field is obtained by using Love's rectangular patch solution. The analysis results show that the sub-surface stress is quite dependent on both the surface pressures and the profile models. The maximum effective stress of the new model is lower than that of the old model. The depth where the maximum effective stress occurs in the new model is not proportional to the intensity of the external load.

Evaluation of Axial Residual Stress in Multi-Pass Drawn High Carbon Steel Wire Considering Effective Stress-Strain Curve at High Strain (고변형률 영역의 유효응력-변형률 곡선을 고려한 고탄소강 다단 신선 와이어 축방향 잔류응력 평가)

  • Lee, Sang-Kon;Kim, Dae-Woon;Kim, Byung-Min;Jung, Jin-Young;Ban, Duk-Young;Lee, Seon-Bong
    • Journal of the Korean Society for Precision Engineering
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    • v.27 no.8
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    • pp.70-75
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    • 2010
  • The aim of this study is to evaluate the axial residual stress in multi-pass drawn high carbon steel wire by using FE analysis and XRD. When FE analysis is applied to evaluate the residual stress in drawn wire of multi-pass drawing process, obtaining the reliable effective stress-strain curve at high strain is very important. In this study, a model, which can express the reliable effective stress-strain curve at high strain, is introduced based on the Bridgman correction and tensile test for multi-pass drawn high carbon steel wires. By using the introduced model, FE analysis was carried out to evaluate the axial residual stress in the drawn wires. Finally, the effectiveness of the FE analysis with the introduced stress-strain relation was verified by the measurement of residual stress in the drawn wires through XRD. As a result, the evaluated residual stress of FE analysis shows good agreement with the measured residual stress.

A Study on Evaluation of Crack Opening Point in Al 2024-T3 Material (Al 2024-T3재의 Crack Opening Point의 평가에 관한 연구)

  • Choi, Byung-Ki;Jang, Kyeung-Cheun
    • Journal of the Korean Society of Safety
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    • v.19 no.2
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    • pp.16-20
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    • 2004
  • This paper aims to analyze fatigue fracture mechnisms with high strength aluminum alloys, which are widely used in vehicles or airplanes to prevent accidents. Usefulness of the crack opening point was proposed by using an effective stress intensity facor when evaluating the fatigue crack propagaion rate. Therefore an exact crack opening ratio can be measured for a more exact fatigue crack propagation rate. It is found that the fatigue crack propagation rate was valid within the range of experimentation as an effective stress intensity factor. Summarizing the results are as follows in this paper ; (1) It is found that the value of the crack opening ratio is constant at the rear of the specimen, U'=0.25 at the crack mouth and U'=0.45 at the crack tip, respectively regardless of the stress ratio. (2) The crack opening ratio is different according to measurement locations. The crack opening ratio value was measured at the crack mouth by a clip gage or measured behind the specimen by a strain gage. It is found that the crack opening ratio value is more accurate that any other measuring test for evaluating the crack propagation ratio test by effective stress intensity factor.