• Title/Summary/Keyword: unified strength theory

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Nonlinear analysis and design of concrete-filled dual steel tubular columns under axial loading

  • Wan, Cheng-Yong;Zha, Xiao-Xiong
    • Steel and Composite Structures
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    • v.20 no.3
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    • pp.571-597
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    • 2016
  • A new unified design formula for calculating the composite compressive strength of the axially loaded circular concrete filled double steel tubular (CFDST) short and slender columns is presented in this paper. The formula is obtained from the analytic solution by using the limit equilibrium theory, the cylinder theory and the "Unified theory" under axial compression. Furthermore, the stability factor of CFDST slender columns is derived on the basis of the Perry-Robertson formula. This paper also reports the results of experiments and finite element analysis carried out on concrete filled double steel tubular columns, where the tested specimens include short and slender columns with different steel ratio and yield strength of inner tube; a new constitutive model for the concrete confined by both the outer and inner steel tube is proposed and incorporated in the finite element model developed. The comparisons among the finite element results, experimental results, and theoretical predictions show a good agreement in predicting the behavior and strength of the concrete filled steel tubular (CFST) columns with or without inner steel tubes. An important characteristic of the new formulas is that they provide a unified formulation for both the plain CFST and CFDST columns relating to the compressive strength or the stability bearing capacity and a set of design parameters.

Multi-axial strength criterion of lightweight aggregate (LWA) concrete under the Unified Twin-shear strength theory

  • Wang, Li-Cheng
    • Structural Engineering and Mechanics
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    • v.41 no.4
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    • pp.495-508
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    • 2012
  • The strength theory of concrete is significant to structure design and nonlinear finite element analysis of concrete structures because concrete utilized in engineering is usually subject to the action of multi-axial stress. Experimental results have revealed that lightweight aggregate (LWA) concrete exhibits plastic flow plateau under high compressive stress and most of the lightweight aggregates are crushed at this stage. For the purpose of safety, therefore, in the practical application the strength of LWA concrete at the plastic flow plateau stage should be regarded as the ultimate strength under multi-axial compressive stress state. With consideration of the strength criterion, the ultimate strength surface of LWA concrete under multi-axial stress intersects with the hydrostatic stress axis at two different points, which is completely different from that of the normal weight concrete as that the ultimate strength surface is open-ended. As a result, the strength criteria aimed at normal weight concrete do not fit LWA concrete. In the present paper, a multi-axial strength criterion for LWA concrete is proposed based on the Unified Twin-Shear Strength (UTSS) theory developed by Prof Yu (Yu et al. 1992), which takes into account the above strength characteristics of LWA under high compressive stress level. In this strength criterion model, the tensile and compressive meridians as well as the ultimate strength envelopes in deviatoric plane under different hydrostatic stress are established just in terms of a few characteristic stress states, i.e., the uniaxial tensile strength $f_t$, the uniaxial compressive strength $f_c$, and the equibiaxial compressive $f_{bc}$. The developed model was confirmed to agree well with experimental data under different stress ratios of LWA concrete.

A constitutive model for confined concrete in composite structures

  • Shi, Qing X.;Rong, Chong;Zhang, Ting
    • Steel and Composite Structures
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    • v.24 no.6
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    • pp.689-695
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    • 2017
  • The constitutive relation is an important factor in analysis of confined concrete in composite structures. In order to propose a constitutive model for nonlinear analysis of confined concrete, lateral restraint mechanism of confined concrete is firstly analyze to study the generalities. As the foundation of the constitutive model, peak stress and peak strain is the first step in research. According to the generalities and the Twin Shear Unified Strength Theory, a novel unified equation for peak stress and peak strain are established. It is well coincident with experimental results. Based on the general constitutive relations and the unified equation for peak stress and peak strain, we propose a unified and convenient constitutive model for confined concrete with fewer material parameters. Two examples involved with steel tube confined concrete and hoop-confined concrete are considered. The proposed constitutive model coincides well with the experimental results. This constitutive model can also be extended for nonlinear analysis to other types of confined concrete.

Unified theory of reinforced concrete-A summary

  • Hsu, Thomas T.C.
    • Structural Engineering and Mechanics
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    • v.2 no.1
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    • pp.1-16
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    • 1994
  • A unified theory has recently been developed for reinforced concrete structures (Hsu 1993), subjected to the four basic actions - bending, axial load, shear and torsion. The theory has five components, namely, the struts-and-ties model, the equilibrium (or plasticity) truss model, the Bernoulli compatibility truss model, the Mohr compatibility truss model and the softened truss model. Because the last three models can satisfy the stress equilibrium, the strain compatibility and the constitutive laws of materials, they can predict not only the strength, but also the load-deformation history of a member. In this paper the five models are summarized to illustrate their intrinsic consistency.

Solution method for the classical beam theory using differential quadrature

  • Rajasekaran, S.;Gimena, L.;Gonzaga, P.;Gimena, F.N.
    • Structural Engineering and Mechanics
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    • v.33 no.6
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    • pp.675-696
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    • 2009
  • In this paper, a unified solution method is presented for the classical beam theory. In Strength of Materials approach, the geometry, material properties and load system are known and related with the unknowns of forces, moments, slopes and deformations by applying a classical differential analysis in addition to equilibrium, constitutive, and kinematic laws. All these relations are expressed in a unified formulation for the classical beam theory. In the special case of simple beams, a system of four linear ordinary differential equations of first order represents the general mechanical behaviour of a straight beam. These equations are solved using the numerical differential quadrature method (DQM). The application of DQM has the advantages of mathematical consistency and conceptual simplicity. The numerical procedure is simple and gives clear understanding. This systematic way of obtaining influence line, bending moment, shear force diagrams and deformed shape for the beams with geometric and load discontinuities has been discussed in this paper. Buckling loads and natural frequencies of any beam prismatic or non-prismatic with any type of support conditions can be evaluated with ease.

Seismic risk assessment of concrete-filled double-skin steel tube/moment-resisting frames

  • Hu, Yi;Zhao, Junhai;Zhang, Dongfang;Zhang, Yufen
    • Earthquakes and Structures
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    • v.14 no.3
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    • pp.249-259
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    • 2018
  • This paper aims to assess the seismic risk of a plane moment-resisting frames (MRFs) consisting of concrete-filled double skin steel tube (CFDST) columns and I-section steel beams. Firstly, three typical limit performance levels of CFDST structures are determined in accordance with the cyclic tests of seven CFDST joint specimens with 1/2-scaled and the limits stipulated in FEMA 356. Then, finite element (FE) models of the test specimens are built by considering with material degradation, nonlinear behavior of beam-column connections and panel zones. The mechanical behavior of the concrete material are modeled in compression stressed condition in trip-direction based on unified strength theory, and such numerical model were verified by tests. Besides, numerical models on 3, 6 and 9-story CFDST frames are established. Furthermore, the seismic responses of these models to earthquake excitations are investigated using nonlinear time-history analyses (NTHA), and the limits capacities are determined from incremental dynamic analyses (IDA). In addition, fragility curves are developed for these models associated with 10%/50yr and 2%/50yr events as defined in SAC project for the region on Los Angeles in the Unite State. Lastly, the annual probabilities of each limits and the collapse probabilities in 50 years for these models are calculated and compared. Such results provide risk information for the CFDST-MRFs based on the probabilistic risk assessment method.

Philosophical Study on the Theory of Self-Discipline in Taijiquan (태극권 수련의 이론 전개에 대한 연구)

  • Park, Tae-Seob;Kim, Gyeong-Cheol
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.21 no.5
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    • pp.1072-1080
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    • 2007
  • Taijiquan is possible for us to use not only as a martial art, but also as a physical exercise and a way to discipline human mind, and so it is called 'moving-Zen' and is a martial art to discipline human body and mind against different diseases and stress of modern adult people caused by our modern advanced civilization. We can look at natural passion as one of the most fundamental categories in Philosophy as a minimum material unit comprising all nature. Taijiquan is an exercise with natural passion, flowing through all the body, leading the natural passion with our mind, and moving our body with the natural energy. Also, all the motions in Taijiquan were made based on Yin and Yang. Taijiquan is a discipling way to reach Taegeuk through Yin and Yang and to train ourselves together. The realization of Taegeuk is to reach Taegeuk through the discipline of Taegeuk and can lead to Taegeuk through the unification of the inside and the outside(內外合一), the mutually complementing(剛柔相濟), the circling of the heavenly body(周天) of Taijiquan. The strength and the weakness help each other, the mind and the body is unified, the mixture of the rapidness and the slowness is appropriate, the form and the consciousness are combined into one and move, naturally unified into one(形意結合), and progressive and regressive Junsakyung are combined and move, naturally forming Turoh(套路) where Yin and Yang are unified. The discipline of Taijiquan is not only for maintaining our health, but also for leading to Taegeuk, an ultimate entity, which had existed before the day when all things were generated as its essence and has existed since then.

Behavior and calculation on concrete-filled steel CHS (Circular Hollow Section) beam-columns

  • Han, Lin-Hai;Yao, Guo-Huang;Zhao, Xiao-Ling
    • Steel and Composite Structures
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    • v.4 no.3
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    • pp.169-188
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    • 2004
  • A mechanics model is developed in this paper for concrete-filled steel CHS (circular hollow section) beam-columns. A unified theory is described where a confinement factor (${\xi}$) is introduced to describe the composite action between the steel tube and the filled concrete. The predicted load versus deformation relationship is in good agreement with test results. The theoretical model was used to investigate the influence of important parameters that determine the ultimate strength of concrete-filled steel CHS beam-columns. The parametric and experimental studies provide information for the development of formulas for the calculation of the ultimate strength of the composite beam-columns. Comparisons are made with predicted beam-columns strengths using the existing codes, such as LRFD-AISC-1999, AIJ-1997, BS5400-1979 and EC4-1994.

Unified Method for Nonlinear Finite Element Analysis of RC Planar Members (통합방법을 이용한 철근콘크리트부재의 비선형 유한요소해석)

  • 박홍근
    • Magazine of the Korea Concrete Institute
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    • v.9 no.2
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    • pp.133-144
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    • 1997
  • Concrete plasticity models fol the analysis of reinforced concrete members in plane stress are studied. The proposed plasticity model for reinforced concrete provides a unified approach combining plasticity theory and damage models. It addresses strength mhancement under rnultiaxial compression. and tensile cracking damage. The model uses multiple failure criteria for compressive crushing and tensile cracking. For tensile cracking behavior. rotating-crack and fixed-crack plasticity models are compared. As crushing failure criterion, the Drucker-Prager and the von Mises models are used for comparison. The model uses now and existing damnge models fbr tension softening, tension stiffening. and compression softening dup to tensilt. cracking. Finite element analyses using the unified method are compatxd with existing rxpcrimcntal r.esults. To vei.ify the proposcd crushing and cracking plasticity models, the experiments have load capacities govc11.nc.d either by compressive crushing of'concrete or by yi~lding of' reinforcing steel.

Analysis of Slender RC Short Beams(a/d<2.5) with Vertical Stirrups using Nonlinear FEM (비선형유한요소해석을 이용한 수직 스터럽이 있는 RC 짧은 보의 해석)

  • Jeong, Jae-Pyong;Kim, Dae-Joong;Kim, Woo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.05a
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    • pp.259-264
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    • 2002
  • This paper describes an attempt to develop a unified design approach for reinforced concrete short beam failing in shear based on a Arch Factor. Designing for short beam in shear is not as straightforward as designing for flexure due to the complicated interdependency of the variables involved and to the nonexistence of a rational theory tn current design code. Shear failure of reinforced concrete beams with stirrups is influenced greatly because of the actual geometrical shape(a/d) of the concrete and flexural reinforcement steel ratio, stirrup reinforcement ratio and concrete compression strength, size effect etc. The objective of this paper is to present a pilot study to develop a simplified physical model for estimating shear behavior of reinforced concrete short beams. The Key idea incorporated with this model is the Arch factor, introduced by Kim and White.

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