• 제목/요약/키워드: Strain compatibility method

검색결과 58건 처리시간 0.039초

Review of the reinforcement sizing in the strength design of reinforced concrete slabs

  • Gil-Martina, Luisa Maria;Hernandez-Montes, Enrique
    • Computers and Concrete
    • /
    • 제27권3호
    • /
    • pp.211-223
    • /
    • 2021
  • This paper presents a review of the two widespread approaches which deal with the ultimate strength design of RC slabs subjected to bending moments and torsion: The Field of Moments Method (FoMM) and the Sandwich method (SM). Special attention is paid to the ultimate strain distribution implicitly assumed when using each one of the methodologies, in particular, the yielding of the steel reinforcement. This work analyzes the initial assumption regarding ultimate strain distribution in the SM. Furthermore, this work studies the resisting moments field on which the Wood-Armer method is based, and it finds some inconsistencies. Several examples have been developed.

Buckling and vibrational information of an annular nanosystem covered with piezoelectric layer

  • Gao, Jie;Nie, Rong;Feng, Yongyi;Luo, Jiawei;Li, Siyu
    • Advances in nano research
    • /
    • 제13권3호
    • /
    • pp.233-245
    • /
    • 2022
  • Resently, the use of smart structures has been heightened up rapidly. For this issue, vibration analysis related to a graphene nanoplatelet composite (GPLRC) nanodisk which is attached to a piezoelectric layer and is subjected to thermal loads is explored in the current paper. The formulation of this study is obtained through the energy method and nonlocal strain gradient theory, and then it is solved employing generalized differential quadrature method (GDQM). Halpin-Tsai model in addition to the mixture's rule are utilized to capture the material properties related to the reinforced composite layer. The compatibility conditions are presented for exhibiting the perfect bounding between two layers. The results of this study are validated by employing the other published articles. The impact of such parameters as external voltage, the radius ratio, temperature difference, and nonlocality on the vibrational frequency of the system is investigated in detail.

Experimental and analytical investigation of composite columns made of high strength steel and high strength concrete

  • Lai, Binglin;Liew, J.Y. Richard;Xiong, Mingxiang
    • Steel and Composite Structures
    • /
    • 제33권1호
    • /
    • pp.67-79
    • /
    • 2019
  • Composite columns made of high strength materials have been used in high-rise construction owing to its excellent structural performance resulting in smaller cross-sectional sizes. However, due to the limited understanding of its structural response, current design codes do not allow the use of high strength materials beyond a certain strength limit. This paper reports additional test data, analytical and numerical studies leading to a new design method to predict the ultimate resistance of composite columns made of high strength steel and high strength concrete. Based on previous study on high strength concrete filled steel tubular members and ongoing work on high strength concrete encased steel columns, this paper provides new findings and presents the feasibility of using high strength steel and high strength concrete for general double symmetric composite columns. A nonlinear finite element model has been developed to capture the composite beam-column behavior. The Eurocode 4 approach of designing composite columns is examined by comparing the test data with results obtained from code's predictions and finite element analysis, from which the validities of the concrete confinement effect and plastic design method are discussed. Eurocode 4 method is found to overestimate the resistance of concrete encased composite columns when ultra-high strength steel is used. Finally, a strain compatibility method is proposed as a modification of existing Eurocode 4 method to give reasonable prediction of the ultimate strength of concrete encased beam-columns with steel strength up to 900 MPa and concrete strength up to 100 MPa.

인장하중을 받는 직선 배관 감육부의 국부 탄소성 변형률 평가 방법 (Estimation Method of Local Elastic-Plastic Strain at Thinning Area of Straight Pipe Under Tension Loading)

  • 안중혁;김윤재;윤기봉;마영화
    • 대한기계학회논문집A
    • /
    • 제30권5호
    • /
    • pp.533-542
    • /
    • 2006
  • In order to assess the integrity of pipes with local thinning area, the plastic strain as well as the elastic strain at the root of thinned region are required particularly when fluctuating load is applied to the pipe. For estimating elastic-plastic strain at local wall thinning area in a straight pipe under tensile load, an estimation model with idealized fully circumferential constant depth wall thinning area is proposed. Based on the compatibility and equilibrium equations a nonlinear estimation equation, from which local elastic-plastic strain can be determined as a function of pipe/defect geometry, material and the applied strain was derived. Estimation results are compared with those from detailed elastic-plastic finite element analysis, which shows good agreements. Noting that practical wall thinning in nuclear piping has not only a circular shape but also a finite circumferential length, the proposed solution for the ideal geometry is extended based on two-dimensional and three-dimensional numerical analysis of pipes with circular wall thinning.

Elastic-plastic formulation for concrete encased sections interaction diagram tracing

  • Fenollosa, Ernesto;Gil, Enrique;Cabrera, Ivan;Vercher, Jose
    • Steel and Composite Structures
    • /
    • 제19권4호
    • /
    • pp.861-876
    • /
    • 2015
  • Composite sections design consists on checking that the point defined by axial load and bending moment keeps included within the surface enclosed by the section interaction curve. Eurocode 4 suggests a method for tracing this diagram based on the plastic stress distribution method. However curves obtained according to this criterion overvalue concrete encased sections bearing capacity, especially when axial force comes with high bending moment values, so a correction factor is required. This article proposes a method for tracing this diagram based on the strain compatibility method. When stresses on the section are integrated by considering the Navier hypothesis, the use of the materials nonlinear constitutive equations provides curves much more adjusted to reality. This process requires the use of rather complex software which might reveal as too complex for practitioners. Preserving the same criteria of an elastic-plastic stress distribution, this article presents alternative expressions to obtain the failure internal forces in five significant points of the interaction diagram having considered five different positions of the neutral axis. These expressions are simply enough for their practical application. Concordance of curves traced strictly relying on these five points with those obtained by computer assisted stress integration considering the strain compatibility method and even with Eurocode 4 weighted curves will be presented for three different cross-sections and two different concrete strengths, revealing very good results.

2축휨을 고려한 철근콘크리트 균열단면의 장기거동 해석 (Time-dependent Analysis of Cracked Reinforced Concrete Sections with Biaxial Bending)

  • 양주경
    • 대한토목학회논문집
    • /
    • 제28권2A호
    • /
    • pp.243-247
    • /
    • 2008
  • 본 연구에서는 수정유효탄성계수법에 근거하여 2축 휨과 축력을 동시에 받는 경우에 콘크리트의 크리프와 건조수축을 고려한 철근콘크리트 보의 효율적이고 합리적인 단면해석 방법을 제안하였다. 제안된 방법은 재령보정계수와 선형 크리프 이론을 이용하였으며, 응력의 분포를 평형조건으로부터 유도하였다. 제안된 방법을 사용하여 직사각형 단면에 대한 예제해석을 수행하였으며 직사각형 단면에서 변형도의 변화와 응력의 변화를 검토하였다.

건축용 프리캐스트 프리스트레스트 역티형 보와 직사각형 보의 휨거동 비교 (Comparison on Flexural Behaviors of Architectural Precast Prestressed Rectangular and Inverted-tee Concrete Beams)

  • 유승룡
    • 콘크리트학회논문집
    • /
    • 제12권6호
    • /
    • pp.75-82
    • /
    • 2000
  • Flexural behaviors of two typical architectural precast beam sections ; inverted tee and rectangular - were compared and investigated. The heights of web in inverted tee beams are generally less than half of beam depth in building structures to accomodate the nib of double-tee where the total building height limited considerably. The inverted-tee beams are designed for parking live load - 500kgf/$\m^2$ and market - 1,200kgf/$\m^2$ according to the currently used typical shape in the domestic market building site in Korea. The bottom dimension and area of rectangular beams are same to those of inverted tee beams to compare the flexural behaviors of two beams. These two beams are also reinforced for similar strength. Four flexural tests are performed on two beams. Following results are obtained from the tests; 1) The rectangular beam is simpler in production, transportation, and election, and more economic than the inverted tee beam for these two beams with same dimension and similar strength. 1) The estimations of flexural strength of two beams by Strength Design Method and Strain Compatibility Method is fully complied with the result of tests. However, Strain Compatibility Method is slightly ore accurate than Strength Design Method. 2) Overall deflections of two type beam under the service loads are less than those of the allowable limit in ACI Code provision. 3) The rectangular beam is failed in large deflection (average 12.56mm large) than those of inverted tee beams. 4) The rectangular and inverted tee beams with 6m span develop initial flexural crackings under the 88% of full service loading even though they designed to satisfy the ACI tensile stress limit provisions.

콘크리트의 인장강성을 고려한 RC보의 비틀림 해석 (Torsional Analysis of RC Beam Considering Tensile Stiffening of Concrete)

  • 박창규
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 2002년도 가을 학술발표회 논문집
    • /
    • pp.167-172
    • /
    • 2002
  • Nonlinear analysis of the reinforced concrete beam subjected to torsion is presented. Seventeen equations involving seventeen variables are derived from the equilibrium equation, compatibility equation, and the material constitutive laws to solve the torsion problem. Newton method was used to solve the nonlinear simultaneous equations and efficient algorithms are proposed. Present model covers the behavior of reinforced concrete beam under pure torsion from service load range to ultimate stage. Tensile resistance of concrete after cracking is appropriately considered. The softened concrete truss model and the average stress-strain relations of concrete and steel are used. To verify the validity of Present model, the nominal torsional moment strengths according to ACI-99 code and the ultimate torsional moment by present model are compared to experimental torsional strengths of 55 test specimens found in literature. The ultimate torsional moment strengths by the present model show good results.

  • PDF

평균변형률을 이용한 RC보의 비틀림 해석 (Torsional Analysis of RC Beam Using Average Strains)

  • 박창규
    • 한국구조물진단유지관리공학회 논문집
    • /
    • 제6권2호
    • /
    • pp.157-165
    • /
    • 2002
  • Nonlinear analysis of the reinforced concrete beam subjected to torsion is presented. Seventeen equations involving seventeen variables are derived from the equilibrium equation, compatibility equation, and the material constitutive laws to solve the torsion problem. Newton method was used to solve the nonlinear simultaneous equations and efficient algorithms are proposed. Present model covers the behavior of reinforced concrete beam under pure torsion from service load range to ultimate stage. Tensile resistance of concrete after cracking is appropriately considered. The softened concrete truss model and the average stress-strain relations of concrete and steel are used. To verify the validity of present model, the nominal torsional moment strengths according to ACI-99 code and the ultimate torsional moment by present model are compared to experimental torsional strengths of 55 test specimens found in literature. The ultimate torsional moment strengths by the present model show good results.

스트럿-타이 모델을 이용한 철근 콘크리트 연결보의 전단강도와 변형능력 (The Shear Strength and Deformability of R/C Coupling Beams using Strut-and-Tie Models)

  • 장상기;홍성걸
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 2004년도 추계 학술발표회 제16권2호
    • /
    • pp.349-352
    • /
    • 2004
  • In this study, a strut-and-tie models for the coupling beam based on deformations are presented. To design shear-dominated R/C coupling beams, it is important to consider shear strength deterioration with required deformations. This study proposes the method of estimating shear strength of the reinforced concrete coupling beams. The proposed method determines the strain states from target displacements based on the nonlinear truss analysis. The estimated horizontal strain of beam is then used in calculating the strength of the diagonal strut with compatibility conditions. The deterioration of shear strength of the coupling beam depends on the strength degradation of struts due to plastic deformations.

  • PDF