• Title/Summary/Keyword: Deep Beam

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Dynamic analysis of porous functionally graded layered deep beams with viscoelastic core

  • Assie, Amr;Akbas, Seref D.;Kabeel, Abdallah M.;Abdelrahman, Alaa A.;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • v.43 no.1
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    • pp.79-90
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    • 2022
  • In this study, the dynamic behavior of functionally graded layered deep beams with viscoelastic core is investigated including the porosity effect. The material properties of functionally graded layers are assumed to vary continuously through thickness direction according to the power-law function. To investigate porosity effect in functionally graded layers, three different distribution models are considered. The viscoelastically cored deep beam is exposed to harmonic sinusoidal load. The composite beam is modeled based on plane stress assumption. The dynamic equations of motion of the composite beam are derived based on the Hamilton principle. Within the framework of the finite element method (FEM), 2D twelve -node plane element is exploited to discretize the space domain. The discretized finite element model is solved using the Newmark average acceleration technique. The validity of the developed procedure is demonstrated by comparing the obtained results and good agreement is detected. Parametric studies are conducted to demonstrate the applicability of the developed methodology to study and analyze the dynamic response of viscoelastically cored porous functionally graded deep beams. Effects of viscoelastic parameter, porosity parameter, graduation index on the dynamic behavior of porous functionally graded deep beams with viscoelastic core are investigated and discussed. Material damping and porosity have a significant effect on the forced vibration response under harmonic excitation force. Increasing the material viscosity parameters results in decreasing the vibrational amplitudes and increasing the vibration time period due to increasing damping effect. Obtained results are supportive for the design and manufacturing of such type of composite beam structures.

Shear Design of Deep Beam with Variable Depth (변단면 깊은 보의 전단설계)

  • Choi, Jeong-Ho;Kim, Tae-Wan;Lee, Seung-Hun;Eom, Jang-Sub;Jin, Chi-Sub
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.11a
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    • pp.377-380
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    • 2004
  • Reinforced concrete deep beams are commonly used in many structural applications, including transfer girders. pile caps, foundation walls. and offshore structures. In this paper. the shear behavior and reinforcement effects of simply supported reinforced concrete deep beam with variable depth subject to concentrated loads have been scrutinized using strut-and-tie model to verify the effects of variable depth. The analysis results show that strut-and-tie Model of ACI 318-02 code is very effective method to design of simply supported reinforced concrete deep beam with variable depth.

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Prediction of Ultimate Strength of Concrete Deep Beams with an Opening Using Strut-and-Tie Model (스트럿-타이 모델에 의한 개구부를 갖는 깊은 보의 극한강도 예측)

  • 지호석;송하원;변근주
    • Proceedings of the Korea Concrete Institute Conference
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    • 2001.05a
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    • pp.189-194
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    • 2001
  • In this study, ultimate strength of concrete deep beams with an opening is predicted by using Strut-and-Tie Model with a new effective compressive strength. First crack occurs around an opening by stress concentration due to geometric discontinuity. This results in decreasing ultimate strength of deep beams with an opening compared with general deep beams. With fundamental notion that ultimate strength of deep beam with an opening decreases as a result of reduction in effective compressive strength of a concrete strut, an equivalent effective compressive strength formula is proposed in order to reflect ultimate strength reduction due to an opening located in a concrete strut. An equivalent effective compressive strength formula which can reflect opening size and position is added to a testified algorithm of predicting ultimate strength of concrete deep beams. Therefore, ultimate strength of concrete deep beam with an opening is predicted by using a simple and rational STM algorithm including an equivalent effective compressive strength formula, not by finite element analysis or a former complex Strut-and-Tie Model

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New strut-and-tie-models for shear strength prediction and design of RC deep beams

  • Chetchotisak, Panatchai;Teerawong, Jaruek;Yindeesuk, Sukit;Song, Junho
    • Computers and Concrete
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    • v.14 no.1
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    • pp.19-40
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    • 2014
  • Reinforced concrete deep beams are structural beams with low shear span-to-depth ratio, and hence in which the strain distribution is significantly nonlinear and the conventional beam theory is not applicable. A strut-and-tie model is considered one of the most rational and simplest methods available for shear strength prediction and design of deep beams. The strut-and-tie model approach describes the shear failure of a deep beam using diagonal strut and truss mechanism: The diagonal strut mechanism represents compression stress fields that develop in the concrete web between diagonal cracks of the concrete while the truss mechanism accounts for the contributions of the horizontal and vertical web reinforcements. Based on a database of 406 experimental observations, this paper proposes a new strut-and-tie-model for accurate prediction of shear strength of reinforced concrete deep beams, and further improves the model by correcting the bias and quantifying the scatter using a Bayesian parameter estimation method. Seven existing deterministic models from design codes and the literature are compared with the proposed method. Finally, a limit-state design formula and the corresponding reduction factor are developed for the proposed strut-andtie model.

Developing a new mutation operator to solve the RC deep beam problems by aid of genetic algorithm

  • Kaya, Mustafa
    • Computers and Concrete
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    • v.22 no.5
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    • pp.493-500
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    • 2018
  • Due to the fact that the ratio of their height to their openings is very large compared to normal beams, there are difficulties in the design and analysis of deep beams, which differ in behavior. In this study, the optimum horizontal and vertical reinforcement diameters of 5 different beams were determined by using genetic algorithms (GA) due to the openness/height ratio (L/h), loading condition and the presence of spaces in the body. In this study, the effect of different mutation operators and improved double times sensitive mutation (DTM) operator on GA's performance was investigated. In the study following random mutation (RM), boundary mutation (BM), non-uniform random mutation (NRM), Makinen, Periaux and Toivanen (MPT) mutation, power mutation (PM), polynomial mutation (PNM), and developed DTM mutation operators were applied to five deep beam problems were used to determine the minimum reinforcement diameter. The fitness values obtained using developed DTM mutation operator was higher than obtained from existing mutation operators. Moreover; obtained reinforcement weight of the deep beams using the developed DTM mutation operator lower than obtained from the existing mutation operators. As a result of the analyzes, the highest fitness value was obtained from the applied double times sensitive mutation (DTM) operator. In addition, it was found that this study, which was carried out using GAs, contributed to the solution of the problems experienced in the design of deep beams.

Shear resistance of steel-concrete-steel deep beams with bidirectional webs

  • Guo, Yu-Tao;Nie, Xin;Fan, Jian-Sheng;Tao, Mu-Xuan
    • Steel and Composite Structures
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    • v.42 no.3
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    • pp.299-313
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    • 2022
  • Steel-concrete-steel composite structures with bidirectional webs (SCSBWs) are used in large-scale projects and exhibit good mechanical performances and constructional efficiency. The shear behaviors of SCSBW deep beam members in key joints or in locations subjected to concentrated forces are of concern in design. To address this issue, experimental program is investigated to examine the deep-beam shear behaviors of SCSBWs, in which the cracking process and force transfer mechanism are revealed. Compared with the previously proposed truss model, it is found that a strut-and-tie model is more suitable for describing the shear mechanism of SCSBW deep beams with a short span and sparse transverse webs. According to the experimental analyses, a new model is proposed to predict the shear capacities of SCSBW deep beams. This model uses strut-and-tie concept and introduces web shear and dowel action to consider the coupled multi mechanisms. A stress decomposition method is used to distinguish the contributions of different shear-transferring paths. Based on case studies, a simplified model is further developed, and the explicit solution is derived for design efficiency. The proposed models are verified using experimental data, which are proven to have good accuracy and efficiency and to be suitable for practical application.

Prediction of Laser Process Parameters using Bead Image Data (비드 이미지 데이터를 활용한 레이저 공정변수 예측)

  • Jeon, Ye-Rang;Choi, Hae-Woon
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.21 no.6
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    • pp.8-14
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    • 2022
  • In this study reports experiments were conducted to determine the quality of weld beads of different materials, Al and Cu. Among the lasers used to make battery cells for electric vehicles, non-destructive testing was performed using deep learning to determine the quality of beads welded with the ARM laser. Deep learning was performed using AlexNet algorithm with a convolutional neural network structure. The results of quality identification were divided into good and bad, and the result value was derived that all the results were in agreement with 94% or more. Overall, the best welding quality was obtained in the experiment for the fixed ring beam output/variable center beam output, in the case of the fixed beam (ring beam) 500W and variable beam (center beam) 1,050W; weld bead failure was seldom observed. The tensile force test to confirm the reliability of welding reported an average tensile force of 2.5kgf/mm or more in all sections.

Design Comparison of Strut Tie Model and ACI Traditional by Clear Span-to-Depth Ratio (지간-높이 비에 따른 스트럿-타이 모델과 ACI 고전적인 방법의 설계 비교)

  • Lymei, Uy;Son, Byung-Jik
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.4
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    • pp.2406-2413
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    • 2014
  • Since clear span-to-depth ratio is used to define what is so called a deep beam, it is an important parameter ratio for study about deep beam. Deep beams can be designed by flexure design method, and shear provided by concrete ($v_c$) and by steel ($v_s$) for deep flexure members are provided in ACI 318-99 [1]. But in later version of ACI (from ACI 318-02) it is not provided and deep beams shall be designed either by taking into account nonlinear distribution of strain or by Appendix A of Strut-and-Tie Models (STM). The trend of deep beam design seems to be familiar with strut-and-tie model, but ACI traditional design is not forgotten. By comparing these two method, there should a point which definitely explain the different between the two methods. In this study, 68 samples result of steel, after reinforcement arrangement, are taken to be analyzed.

The effect of opening on the shear behavior of reinforced concrete deep beam (철근 콘크리트 깊은보의 전단 거동에 대한 개구부의 영향)

  • 정원태;양근혁;이영호;은희창;정헌수
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.10a
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    • pp.335-340
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    • 2002
  • The focus of this experimental study is to verify the effect of openings in reinforced concrete deep beam. Main variables are opening depth, width and vertical locations but the shear span-to-overall depth ratio was fixed by 0.5. The experimental results about 8 deep beams which was tested under two equal symmetrically placed point loads are reported.

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Finite Element Analysis of Axisymmetric Multi-Stage Deep Drawing Processes (축대칭 다단계 디프드로잉 공정의 유한요소해석)

  • 윤정환;유동진;양동열;김석관
    • Transactions of Materials Processing
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    • v.3 no.4
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    • pp.468-481
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    • 1994
  • Mathematical description of arbitrarily-shaped tool surface are introduced by parametric patch approaches along with the related contact search algorithm. In order to maintain the advantages of membrane elements and to incoporate the bending effect, a BEAM(Bending Energy Augmented Membrane) element is proposed. Computation are carried out for some complex axisymmetric multi-stage deep drawing to verify the validity and the effectiveness of the proposed method.

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