• 제목/요약/키워드: secant stiffness

검색결과 62건 처리시간 0.025초

CREEP에 의한 못 결합부(結合部)의 강성도(剛性度)의 변화(變化)에 관한 연구(硏究) (Study on the change in stiffness of nailed joints due to creep)

  • 장상식
    • Journal of the Korean Wood Science and Technology
    • /
    • 제17권4호
    • /
    • pp.35-43
    • /
    • 1989
  • Nailed joints, which are commonly used in Wooden structures, transmit loads from one member to another and induce partial composite actions between members. Long-term loads induce creep slip in nailed joints and affect load sharing and partial composite action, which may reduce joint stiffness. Two theoretical viscous-viscoelastic models were developed for nailed joints to predict creep behavior under long-term variable loads. Those models were also used to predict stiffness changes under long-term variable loads. The stiffness of nailed joint is defined as a Secant modulus which is called the joint modulus or slip modulus. Input data for the models are the results of constant load tests under three different load levels. To verify the models, nailed joints were also tested under two long-term variable load functions. The predictions of the models were very close to the experimental data. Therefore, the theoretical viscous-viscoelastic models and procedures developed in this study can be applied to predict creep slip and the changes in joint moduli of nailed joints under long-term variable loads.

  • PDF

Nonlinear analysis of cable-stayed spatial latticed structures

  • Zhou, Dai;Liu, Hongyu;Jin, Bo
    • Structural Engineering and Mechanics
    • /
    • 제15권4호
    • /
    • pp.415-436
    • /
    • 2003
  • The combination of spatial latticed structures (hereafter SLS) and flexible cables, the cable-stayed spatial latticed structures (hereafter CSLS) can cross longer span. According to variation principle, a novel geometric nonlinear formulation for 3-D bar elements considering large displacement and infinitesimal rotation increments with second-order precision is developed. The cable nonlinearity is investigated and it is taken that the secant modulus method can be considered as an exact method for a cable member. The tower column with which the cables link is regarded as a special kind of beam element, and, a new simplified stiffness formulation is presented. The computational strategies for the nonlinear dynamic response of structures are given, and the ultimate load carrying capacities and seismic responses are analyzed numerically. It is noted that, compared with corresponding spatial latticed shells, the cable-stayed spatial latticed shells have more strength and more stiffness, and that the verical seismic responses of both CSLS and CLS are remarkably greater than the horizontal ones. In addition, the computation shows that the stiffness of tower column influences the performance of CSLS to a certain extent and the improvement of structural strength and stiffness of CSLS is relevant not only to cables but also to tower columns.

강구조를 위한 직접비탄성설계법 (Direct Inelastic Design for Steel Structures)

  • 엄태성;박홍근
    • 한국강구조학회 논문집
    • /
    • 제16권2호통권69호
    • /
    • pp.181-190
    • /
    • 2004
  • 본 연구소에서는 할선강성을 사용하여 비탄성 해석 및 설계를 수행하는 새로운 설계방법을 개발하였다. 개발한 설계법은 선형해석을 수행하므로 수치해석이 안정성과 용이성을 갖추고 있으며, 동시에 반복계산으로 구조물의 비탄성 거동을 해석하므로 각 부재의 비탄성 강도 및 연성 요구량을 정확히 예측할 수 있다. 본 연구에서는 제안된 설계법의 절차를 성립하였고, 이를 고려한 컴퓨터 해석/설계 프로그램을 개발하였다. 또한, 제안된 설계법을 사용한 설계예제를 제시하였으며, 기존의 탄성 및 소성설계법과의 비교를 통하여 그 우수성을 입증하였다. 기존의 비선형설계방법은 일반적으로 초기 설계를 수행하고 비선형해석을 이용하여 초기설계안을 검증하는데 비하여, 제안된 방법은 반복계산을 통하여 비탄성해석과 설계를 동시에 수행하므로 각 부재의 비탄성 강도 및 연성 요구량을 직접적으로 계산할 수 있다. 또한 설계자의 의도에 따라 부재 강도 및 연성능력의 제한, 강기둥-약보 등의 비선형 설계전략을 효과적으로 구현하므로, 경제적이고 안전한 설계가 가능하다.

복합 호장법을 이용한 공간 트러스의 비선형 해석 (Nonlinear Analysis of Space Trusses Using the Combined Arc-Length Method)

  • 석창목;권영환
    • 한국전산구조공학회논문집
    • /
    • 제14권3호
    • /
    • pp.361-369
    • /
    • 2001
  • 이 연구는 공간 트러스의 비선형 해석을 위한 해석기법의 수치해석적 효율성에 관한 것으로써, 좌굴 이후의 거동 파악이 가능한 복합 호장법을 제안하였다. 복합 호장범은 현 강성변수를 제어변수로 사용하여, 안정구간에서는 선취법이 첨가된 Secant-Newton법을 사용하여, 불안정구간에서는 가속법이 첨가된 호장법을 사용하는 방법이다. 해석기법의 효율성을 비교하기 위하여 제시된 수지예제에 대한 해의 정확성, 수렴성, 계산시간을 기존의 호장법과 비교하였다. 공간 트러스의 기하학적 비선형 해석에 있어서는 이 연구에서 제안된 복합 호장법이 기존의 호장법보다 수치 해석적 효율성이 뛰어난 것을 알 수 있었다.

  • PDF

Extension of Direct Displacement-Based Design to Include Higher-Mode Effects in Planar Reinforced Concrete Frame Buildings

  • 아베베 베카 하일루;이종세
    • 한국지진공학회논문집
    • /
    • 제22권5호
    • /
    • pp.299-309
    • /
    • 2018
  • Now that problems with force-based seismic design have been clearly identified, design is inclined toward displacement-based methods. One such widely used method is Direct-Displacement-Based Design (DDBD). Yet, one of the shortcomings of DDBD is considering higher-mode amplification of story shear, moments, and displacements using equations obtained from limited parametric studies of regular planar frames. In this paper, a different approach to account for higher-mode effects is proposed. This approach determines the lateral secant stiffness of the building frames that fulfill the allowable inter-story drift without exceeding the desired story displacements. Using the stiffness, an elastic response spectrum analysis is carried out to determine elastic higher-mode force effects. These force effects are then combined with DDBD-obtained first-mode force effects using the appropriate modal superposition method so that design can be performed. The proposed design procedure is verified using Nonlinear Time History Analysis (NTHA) of twelve planar frames in four categories accounting for mass and stiffness irregularity along the height. In general, the NTHA response outputs compared well with the allowable limits of the performance objective. Thus, it fulfills the aim of minimizing the use of NTHA for planar frame buildings, thereby saving computational resources and effort.

Application of ultra-high performance fiber reinforced concrete for retrofitting the damaged exterior reinforced concrete beam-column joints

  • Al-Osta, Mohammed A.;Khan, Muhammad I.;Bahraq, Ashraf A.;Xu, Shi-Yu
    • Earthquakes and Structures
    • /
    • 제19권5호
    • /
    • pp.361-377
    • /
    • 2020
  • In the present research work, the effectiveness and the efficiency of a retrofitting approach using a layer of ultra-high performance fiber reinforced concrete (UHPFRC) jacket for damaged substandard exterior beam-column joints (BCJs) is experimentally investigated. The main objective of this study is to rehabilitate the already damaged BCJs to meet the serviceability requirements without compromising safety. According to the proposed strengthening technique, a chipped surface, lightly brushed with a dry condition was selected for making a successful bond between normal concrete substrate surface (NCSS) and UHPFRC. Then a fresh UHPFRC jacket with a thickness of 30 mm was cast around the damaged specimens. The entire test matrix was comprised of three 1/3 scale damaged exterior BCJs with a different column axial load (CAL). These specimens were repaired with UHPFRC and retested under monotonic loading. Based on the experimental results, repaired specimens showed an excellent performance in terms of their load-displacement response, maximum strength, displacement ductility, initial stiffness, secant stiffness and energy dissipation capacity when compared with the corresponding values registered when these specimens were tested in their virgin state. This rehabilitative intervention not only restored the strength, stiffness, ductility and energy dissipation capacity of severely damaged specimens but also improved their performance.

비선형(非線型) 구조(構造)의 설계민감도(設計敏感度) 해석법(解析法) (Methods of Nonlinear Structural Design Sensitivity Analysis)

  • 유연선
    • 대한토목학회논문집
    • /
    • 제7권4호
    • /
    • pp.13-20
    • /
    • 1987
  • 본(本) 연구(硏究)에서는 비선형(非線型) 구조(構造)의 설계민감도(設計敏感度) 해석법(解釋法)을 비선형(非線型) 유한요소(有限要素) 구조해석법(構造解析法)에 대응(對應)하여 개발(開發)하고 이들을 수치예(數値例)를 통(通)하여 평가(評價)하였다. 비선형(非線型) 구조해석법(構造解析法)과 설계민감도(設計敏感度) 해석법(解析法)은 밀접한 관계(關係)를 가지므로, 시칸트강도(剛度)를 이용(利用)한 직접분해법(直接分解法) 및 반복해법(反復解法)과 탄젠트강도(剛度)의 직접사용법(直接使用法)을 유도(誘導) 제시(提示)하였다. 이론적(理論的) 고찰(考察) 및 수치예(數値例)로부터, 구조해석(構造解析) 및 설계민감도해석(設計敏感度解釋)의 연반과정(連攀過程)에서 탄젠트강도법(剛度法)의 효율성(効率性)을 확인(確認)하였다.

  • PDF

Inelastic large deflection analysis of space steel frames consisting of I-shaped cross section

  • ElSabbagh, Ashraf;Hanefa, Ahmed;Zubydan, Ahmed;ElGhandour, Mohamed;Sharaf, Tarek
    • Steel and Composite Structures
    • /
    • 제41권6호
    • /
    • pp.887-898
    • /
    • 2021
  • This paper presents a simplified model to capture the nonlinear behavior of steel frames depending on the spread of plasticity method. New interaction formulae were derived to evaluate the plastic strength for I-shaped steel sections under uniaxial bending moment and axial compression load. Also, new empirical formulae were derived to evaluate the tangent stiffness modulus of steel I-shaped cross-sections considering the effect of the residual stresses suggested by the specifications in European Convention for Construction Steelworks (ECCS). The secant stiffness which depends on the tangent modulus is used to evaluate the internal forces. Based on stiffness matrix method, a finite element analysis program was developed for the nonlinear analysis of space steel frames using the derived formulae. Comparison between the proposed model results with those given by the fiber model shows very good agreement. Numerical examples were introduced to verify, check the accuracy, and evaluate the efficiency of the proposed model. The analysis results show that the new proposed model is accurate and able to minimize the solution time.

Effect of stud corrosion on stiffness in negative bending moment region of steel-concrete composite beams

  • Yulin Zhan;Wenfeng Huang;Shuoshuo Zhao;Junhu Shao;Dong Shen;Guoqiang Jin
    • Steel and Composite Structures
    • /
    • 제48권1호
    • /
    • pp.59-71
    • /
    • 2023
  • Corrosion of the headed studs shear connectors is an important factor in the reduction of the durability and mechanical properties of the steel-concrete composite structure. In order to study the effect of stud corrosion on the mechanical properties in the negative moment region of steel-concrete composite beams, the corrosion of stud was carried out by accelerating corrosion method with constant current. Static monotonic loading was adopted to evaluate the cracking load, interface slip, mid-span deflection, and ultimate bearing capacity of four composite beams with varying corrosion rates of headed studs. The effect of stud corrosion on the stiffness of the composite beam's hogging moment zone during normal service stage was thoroughly examined. The results indicate that the cracking load decreased by 50% as the corrosion rate of headed studs increase to 10%. Meanwhile, due to the increase of interface slip and mid-span deflection, the bending stiffness dropped significantly with the same load. In comparison to uncorroded specimens, the secant stiffness of specimens with 0.5 times ultimate load was reduced by 25.9%. However, corrosion of shear studs had no obvious effect on ultimate bending capacity. Based on the experimental results and the theory of steel-concrete interface slip, a method was developed to calculate the bending stiffness in the negative bending moment region of composite beams during normal service stage while taking corrosion of headed studs into account. The validity of the calculation method was demonstrated by data analysis.

내풍설계를 위한 초고층 무량판 건축물의 횡강성 및 고유주기 산정 (Lateral Stiffness and Natural Period Evaluation of Flat Plate Tall Buildings for Wind Design)

  • 박제우;김홍진;조지성
    • 한국전산구조공학회논문집
    • /
    • 제23권1호
    • /
    • pp.73-80
    • /
    • 2010
  • 건축물의 풍진동은 건축물의 사용성평가에 중요한 구조설계 요인 중 하나이다. 신뢰성있는 풍하중 및 풍진동을 구하기 위해서는 정확한 고유주기의 예측이 필요하며 이러한 고유주기에 오차가 있을 경우 하중을 과대 또는 과소평가하게 되는 문제를 유발한다. 본 논문에서는 최근 본격적으로 증가하고 있는 초고층 무량판 구조시스템의 건축물에 대하여 계측을 통한 횡강성 산정식의 유효성을 검정하였다. 이를 위하여 최근 건설된 초고층 무량판 구조시스템이 적용된 3개의 건물에 대하여 계측 결과와 해석 모델의 고유주기를 비교 분석하였다. 이때, 무량판 구조물의 횡강성에 영향을 미치는 요인들에 대하여 각 케이스별로 해석을 수행하였으며, 특히 일반적으로 사용되고 있는 콘크리트의 할선탄성계수와 동탄성계수가 적용 되었을 때의 구조물의 고유주기 변화를 비교하였다. 그 결과 풍진동에 의한 건물의 변형률은 매우 적기 때문에 할선탄성계수의 적용보다는 동탄성계수의 적용이 보다 정확한 해석의 결과를 가져올 것으로 판단된다.