• Title/Summary/Keyword: equation of tendon

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Proposal on the Prediction Equation of Ultimate stress of External Tendon for the Prestressed Concrete Beams with External Tendons (외부 PSC 보에서 외부강선의 극한 응력 예측식 제안)

  • Yoo, Sung-Won;Ha, Heon-Jae
    • Journal of the Korean Society of Safety
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    • v.25 no.5
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    • pp.44-53
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    • 2010
  • Recently, the external prestressed concrete structures are increasingly being built. The mechanical behavior of prestressed concrete beams with unbonded tendon is different from that of normal bonded PSC beams in that the increment of tendon stress was derived by whole member behavior. By this reason, the ultimate stress of external tendon is smaller than that of bonded tendon or internal unbonded tendon. However, in the domestic and abroad code, the equation of ultimate stress of external tendon is not suggested yet, and the equation of ultimate stress of internal unbonded tendon is used instead of that of external tendon. Therefore, in this paper, after effective variables of ultimate stress of external tendon were analyzed, the analytical equation of ultimate stress of external tendon was proposed. And the reasonable coefficients were proposed by statistical work of test results of 25 beam with external tendon. Finally, the practical proposed equation of ultimate stress of external tendon was proposed with analytical and statistical model. The equation of ACI-318 and AASHTO 1994 were not matched with test results and had no correlations, and the proposed equation was well matched with test results. So the proposed equation in this paper will be a effective basis for the evaluation of external tendons in analysis and design.

An Experiment of Flexural Behavior for the Prestressed Concrete Beams with Partially Bonded External Tendons (외부 부분 부착 PSC 보의 휨거동 실험)

  • Yoo, Sung-Won;Lee, Sang-Jun
    • Journal of the Korean Society of Safety
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    • v.27 no.5
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    • pp.141-147
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    • 2012
  • Recently, the external prestressed concrete structures are increasingly being built. The mechanical behavior of prestressed concrete beams with external tendon is different from that of normal bonded PSC beams in that the increment of tendon stress was derived by whole member behavior. By this reason, the ultimate stress of external tendon is smaller than that of bonded tendon or internal unbonded tendon. The purposes of the present paper are therefore to improve the mechanical behavior of external unbonded tendon by using partially bonded external tendon and to evaluate the flexural behavior of partially bonded external tendon by the flexural member experiment. From the experimental results, before flexural cracking, there was no difference between external unbonded, partially bonded and bonded tendons. However, after cracking, yielding load of reinforcement, ultimate load, and tendon stress were increased in the sequence of external unbonded, partially bonded and bonded tendon members. The equation of ACI-318 and AASHTO 1994 were not matched with test results and had no correlations. So the newly proposed equation will be needed including the consideration of tendon profile, tendon bonded type, and so on. The proposed partially bonded external tendon in this paper will be a effective basis for the evaluation of external tendons in construction and design.

Determination of the Initial Tendon Force using Rating Factor Equation in Composite Girders Strengthened with External Tendons (외부 긴장재로 보강된 강합성보의 내하율 산정식을 이용한 초기 긴장력 결정)

  • Choi, Dong Ho;Chung, Sang Hwan;Yoo, Dong Min
    • Journal of Korean Society of Steel Construction
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    • v.17 no.5 s.78
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    • pp.527-536
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    • 2005
  • A method of reinforcement using external tendons has been found to be one of the effective techniques of reinforcement and its application is increasing. In this paper, the method to calculate the initial tendon force is proposed for the improvement of load-carrying capacity in existing steel-concrete composite bridges. An equation for the increment of tendon force was derived for tendon configurations and live load types, and the effect of reinforcement in a composite beam was numerically studied. The method to calculate the number of tendon and initial tendon force was presented by proposing the new method to calculate the rating factor, which considers the increment of tendon force. The method was shown to be effective for an existing steel-concrete bridge.

Experimental Study on Behaviors of Prestressed Concrete Beam Reinforced by Prestressed External Tendon (단면 보강용 외부 긴장 강선을 사용한 프리스트레스트 콘크리트 보의 거동에 관한 실험적 연구)

  • Park, Chan-Sol;Kim, Kee-Dong;Han, Taek-Hee;Latif, Abdul;Kim, Doo-Kie
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.26 no.6
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    • pp.222-229
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    • 2022
  • The extensive use of external prestressing system with PSC-I beam to strengthen reinforced and prestressed concrete members requires the full understanding of the behavior of the strengthened members. The main approach of this research was to experimentally investigate the flexural performance of the PSC-I beam considering external tendon and an equation was developed which indicated the produced incremental stress in the tendon due to applied load. Further, this equation was verified through performing static loading tests on two experimental specimens considering the presence or absence of external tendon. The test results revealed that, the flexural performance enhanced due to the use of external tendon. Moreover, the magnitude of the estimated flexural strength using proposed stress increasing equation almost coincides with the experimental test results. However, it was the evident of the improvement of the flexural performance of the system by reinforcing with the external tendon and also proved that the proposed equation was valid and effective.

Relation of Deflection of Prestressed Concrete Members to Unbonded Tendon Stress and Effects of Various Parameters (비부착 프리스트레스트 보강재를 갖는 PSC 부재의 변위와 프리스트레스트 보강재 응력의 상관관계 및 변수별 효과)

  • 문정호;임재형;이창규
    • Journal of the Korea Concrete Institute
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    • v.14 no.2
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    • pp.171-179
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    • 2002
  • This paper is a part of research series for the verification of the proposed Moon/Lim design equation. An analytical study was performed to examine the relation between the flexural behavior and the unbonded tendon stress of PSC members. The strain compatibility assumption was used in this study since previous studies showed that the stress variations of tendon had a close relation with the member displacements. The proposed equation has been developed with the same assumption of strain compatibility. Therefore the analytical procedure with the strain compatibility assumption was developed to compute the member displacements of previous tests. Then the analytical results were compared with tests results. The comparison showed that the strain compatibility assumption can be properly applicable to the design equation. Based on the analytical results, the relation between the tendon stress and the member flexural behavior at ultimate was examined. A parametric study also carried out with regard to the member displacements. As results, the parameters used for the proposed equation were proven to be proper for the computation of tendon stress.

A Study on the Prediction of Ultimate Stress of Tendon in Unbonded Prestressed Concrete Beams without Slip (비부착 PSC 보에서 슬립이 없는 강선의 극한 응력 예측에 관한 연구)

  • Hong, Sung-Su;Yoo, Sung-Won;Park, Seung-Bum
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.4A
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    • pp.537-548
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    • 2008
  • Recently, the prestressed unbonded concrete structures are increasingly being built. The mechanical behavior of prestressed concrete beams with unbonded tendon is different from that of normal bonded PSC beams in that the increment of tendon stress was derived by whole member behavior. The purpose of the present paper is therefore to evaluate the flexural behavior and to propose the equation of ultimate tendon stress by performing static flexural test according to span/depth, concrete compression strength, reinforcement ratio and the effect of existing bonded tendon. From experimental results, for cracking, yielding and ultimate load, the effect of reinforcement ratio was more effective than concrete compression strength, and the beams having high strength concrete had a good performance than having low concrete, but there was no difference between high strength and low strength. And as L/dp was larger, test beams had a long region of ductility. This means that unbonded tendon has a large contribution after reinforcement yielding. Especially, the equation of ACI-318 was not match with test results and had no correlations. After analysis of test results, the equation of ultimate unbonded tendon stress without slip was proposed, and the proposed equation was well matched with test results. So the proposed equation in this paper will be a effective basis for the evaluation of unbonded tendons without slip, analysis and design.

Strengthening Design Using Rating Factor Considering Increment of Tendon Force for Two-Span Steel-concrete Composite Bridges Strengthened by Straight External Tendons (직선배치된 외부 긴장재로 보강된 2경간 강합성교의 증가 프리스트레스력을 고려한 내하율 산정식을 이용한 보강설계)

  • Choi, Dong-Ho;Yoo, Hoon;Kim, Yong-Sik;Kim, Sung-Won
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.13 no.2 s.54
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    • pp.153-164
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    • 2009
  • In this paper, a method of increasing in load-carrying capacity is shown in two-span steel-concrete composite bridges strengthened by external tendons. An analytic expression for the increment of tendon force under external loads is derived using virtual work method for straight external tendons and a new rating factor equation is proposed. Considering the initial tendon force and its increment under external loads, an analytic procedure has been developed to calculate the number of tendons and the initial tendon force from the proposed rating factor equation. This method is used to verify a validity and rationality for an existing two-span composite steel-concrete bridge.

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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Ultimate Stress of Prestressing CFRP Tendons in PSC Beams Strengthened by External CFRP Prestressing (외부 CFRP 프리스트레싱으로 보강된 PSC 보에서 CFRP 텐던의 극한응력)

  • Park, Sang-Yeol;Kim, Chang-Hoon;Hong, Seong-Yong
    • Journal of the Korea Concrete Institute
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    • v.19 no.6
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    • pp.735-744
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    • 2007
  • This study deals with literature review, developing a predicting equation for the ultimate stress of prestressing (PS) CFRP, and experimental test with the parameters affecting the ultimate stress of prestressing CFRF in prestressed concrete beams strengthened by external prestressing. The ACI (American Concrete Institute) predicting equation for the ultimate stress of unbonded prestressing CFRP is analyzed to develop a new integrated predicting equation. The proposed predicting equation takes rationally the effect of internal PS steel into consideration as a function of prestressing tendon depth to neutral depth ratio. In the experimental study, prestressed concrete beams strengthened using external prestressing CFRP are tested with the test parameters having a large effect on the ultimate stress of prestressing CFRP. The test parameters includes infernal prestressing steel and external prestressing CFRP tendon reinforcement ratios, and span to depth ratio. The test results are analyzed to confirm the rationality and applicability of the proposed equation for predicting the ultimate stress of external prestressing CFRP.

Rocking response of self-centring wall with viscous dampers under pulse-type excitations

  • Zhang, Lingxin;Huang, Xiaogang;Zhou, Zhen
    • Earthquakes and Structures
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    • v.19 no.3
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    • pp.215-226
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    • 2020
  • A self-centering wall (SCW) is a lateral resistant rocking system that incorporates posttensioned (PT) tendons to provide a self-centering capacity along with dampers to dissipate energy. This paper investigates the rocking responses of a SCW with base viscous dampers under a sinusoidal-type pulse considering yielding and fracture behaviour of the PT tendon. The differences in the overturning acceleration caused by different initial forces in the PT tendon are computed by the theoretical method. The exact analytical solution to the linear approximate equation of motion is also provided for slender SCWs. Finally, the effects of the ductile behaviour of PT tendons on the rocking response of a SCW are analysed. The results demonstrate that SCWs exhibit two overturning modes under pulse excitation. The overturning region with Mode 1 in the PT force cases separates the safe region of the wall into two parts: region S1 with an elastic tendon and region S2 with a fractured tendon. The minimum overturning acceleration of a SCW with an elastic-brittle tendon becomes insensitive to excitation frequency as the PT force increases. After the plastic behaviour of the PT tendon is considered, the minimum overturning acceleration of a SCW is increased significantly in the whole range of the studied wg/p.