• Title/Summary/Keyword: Simple Beam

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Crack Energy and Governing Equation of an Extensible Beam with Multiple Cracks (다중 균열을 갖는 신장 보의 균열 에너지와 지배방정식)

  • Shon, Sudeok
    • Journal of Korean Association for Spatial Structures
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    • v.24 no.1
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    • pp.65-72
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    • 2024
  • This paper aims to advance our understanding of extensible beams with multiple cracks by presenting a crack energy and motion equation, and mathematically justifying the energy functions of axial and bending deformations caused by cracks. Utilizing an extended form of Hamilton's principle, we derive a normalized governing equation for the motion of the extensible beam, taking into account crack energy. To achieve a closed-form solution of the beam equation, we employ a simple approach that incorporates the crack's patching condition into the eigenvalue problem associated with the linear part of the governing equation. This methodology not only yields a valuable eigenmode function but also significantly enhances our understanding of the dynamics of cracked extensible beams. Furthermore, we derive a governing equation that is an ordinary differential equation concerning time, based on orthogonal eigenmodes. This research lays the foundation for further studies, including experimental validations, applications, and the study of damage estimation and detection in the presence of cracks.

A study on compressive strength of concrete in flexural regions of reinforced concrete beams using finite element analysis

  • Cho, Chang-Geun;Hotta, Hisato
    • Structural Engineering and Mechanics
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    • v.13 no.3
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    • pp.313-328
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    • 2002
  • Based on the orthotropic hypoelasticity formulation, a triaxial constitutive model of concrete is proposed. To account for increasing ductility in high confinement of concrete, the ductility enhancement is considered using so called the strain enhancement factor. It is also developed a three-dimensional finite element model for reinforced concrete structural members based on the proposed constitutive law of concrete with the smeared crack approach. The concrete confinement effects due to the beam-column joint are investigated through numerical examples for simple beam and structural beam member. Concrete at compression fibers in the vicinity of beam-column joint behaves dominant not only by the uniaxial compressive state but also by the biaxial and triaxial compressive states. For the reason of the severe confinement of concrete in the beam-column joint, the flexural critical cross-section is observed at a small distance away from the beam-column joint. These observations should be utilized for the economic design when the concrete structural members are subjected to high confinement due to the influence of beam-column joint.

Method for flexural stiffness of steel-concrete composite beams based on stiffness combination coefficients

  • Ding, Faxing;Ding, Hu;He, Chang;Wang, Liping;Lyu, Fei
    • Computers and Concrete
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    • v.29 no.3
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    • pp.127-144
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    • 2022
  • To investigate the flexural stiffness of the steel-composite beam, the contributions of the concrete slab and steel beam to the stiffness were considered separately. The method for flexural stiffness of the composite beam, considering the stiffness of the concrete slab and steel beam, was proposed in this paper. In addition, finite element models of the composite beams were established and validated. Parametric analyses were carried out to study the effects of different parameters on the neutral axis distance reduction factors of the concrete slab and steel beam. Afterward, the neutral axis distance reduction factors were fitted, and the stiffness combination coefficients of the two parts were solved. Based on the stiffness combination coefficients, the flexural stiffness of the composite beam can be obtained. The proposed method was validated by the tested and analyzed results. The method has a simple form and high accuracy in predicting the flexural stiffness of the steel-concrete composite beam, even though the degree of shear connection is less than 0.5.

Generation of Water Droplet Ion Beam for ToF-SIMS Analysis

  • Myoung Choul Choi;Ji Young Baek;Aram Hong;Jae Yeong Eo;Chang Min Choi
    • Mass Spectrometry Letters
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    • v.14 no.4
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    • pp.147-152
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    • 2023
  • The increasing demand for two-dimensional imaging analysis using optical or electronic microscopic techniques has led to an increase in the use of simple one-dimensional and two-dimensional mass spectrometry imaging. Among these imaging methods, secondary-ion mass spectrometry (SIMS) has the best spatial resolution using a primary ion beam with a relatively insignificant beam diameter. Until recently, SIMS, which uses high-energy primary ion beams, has not been used to analyze molecules. However, owing to the development of cluster ion beams, it has been actively used to analyze various organic molecules from the surface. Researchers and commercial SIMS companies are developing cluster ion beams to analyze biological samples, including amino acids, peptides, and proteins. In this study, a water droplet ion beam for surface analysis was realized. Water droplets ions were generated via electrospraying in a vacuum without desolvation. The generated ions were accelerated at an energy of 10 keV and collided with the target sample, and secondary ion mass spectra were obtained for the generated ions using ToF-SIMS. Thus, the proposed water droplet ion-beam device showed potential applicability as a primary ion beam in SIMS.

Experimental Evalution of Structural Behavior on SRC type TEC-BEAM to RC Column Connection (SRC형 TEC-BEAM과 RC기둥 접합부 구조적 거동의 실험적 평가)

  • Ju, Young Kyu;Kim, Do Hyun;Chung, Kwang Ryang;Kim, Sang Dae
    • Journal of Korean Society of Steel Construction
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    • v.14 no.3
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    • pp.463-470
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    • 2002
  • The TEC-Beam system is a composite beam consisting of structural tee, precast concrete, and cast-in-site reinforced concrete slab. The preliminary test of the proposed system was performed for simple beams, showing good behavior. However, for the field application of the system. TEC-Beam - RC column connection was required to produce a mechanism that transfers the force occurring in the lower part of the TEC-Beam. Thus, this study developed a connection mechanism that transfers the force occurring in the lower part of the TEC-Beam. Thus, this study developed a connection wherein the section of the TEC-Beam was enlarged and the lower part reinforced. Two setups of the proposed system were experimentally investigated. using the anchorage length of reinforcement., i.e., length of the increased section, as test parameter. It could be concluded from the result that the proposed system shows good structural behavior, with potential applicability in the field.

Radiotherapy of Invasive Cervical Cancer Following Simple Hysterectomy (단순자궁적출술을 시행한 침윤성 자궁경부암에서의 방사선치료)

  • Chai, Gyu-Young;Kim, Yong-Ho
    • Radiation Oncology Journal
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    • v.15 no.3
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    • pp.251-254
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    • 1997
  • Purpose : Simple hysterectomy is not a standard surgery for invasive cervical carcinoma. This study was performed to investigate the efficacy of radiotherapy following simple hysterectomy in the invasive cervical cancer. Materials and Methods : Retrospective analysis was done for 19 patients with invasive cervical carcinoma who were treated with radiotherapy following simple hysterectomy from April 1989 to December 1993 The median a9e of patients was 47 years old. Patients were treated with external beam radiation therapy alone (17) or external beam radiation therapy plus intra vaginal ovoid irradiation (2). The median follow up period was 46 months. Results : The 4 year overall survival rate was $75\%$. The 4 rear local control rate was $89\%$. Two patients had recurred at the locoregional and distant sites, and another two patients at distant sites. Conclusion : We confirmed that radiotherapy is the adequate treatment modality for patients with invasive cervical cancer who underwent simple hysterectomy.

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Simple bone cyst recurred in adjacent areas: A case report

  • Jin-Soo Kim
    • Imaging Science in Dentistry
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    • v.53 no.4
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    • pp.383-388
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    • 2023
  • Simple bone cyst is a pseudocyst that typically occurs in patients during their second and third decades of life. This benign entity is an empty or fluid-filled cavity that lacks a true epithelial lining. Simple bone cysts are often asymptomatic and are commonly found in mandibular body, predominantly in the posterior region. The treatment of simple bone cysts can be influenced by factors such as the patient's age, the size of the lesion, and the presence or absence of symptoms. In the case of a simple bone cyst in the mandible that is small and symptomless, a watchful waiting approach may be appropriate. However, if the cyst is large and symptomatic, surgical treatment is recommended. This report presents a radiological examination of a simple bone cyst that developed around the root of the mandibular first molar in a 36-year-old female patient. The cyst recurred in adjacent areas despite surgical treatment.

Characterization of Cone-beam Computed Tomography System for Small Animal (콘빔형 소동물용 전산화단층촬영(CT) 장치의 성능평가)

  • Kang, Hyeong-Geun;Chon, Kwon-Su
    • Journal of the Korean Society of Radiology
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    • v.4 no.1
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    • pp.19-24
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    • 2010
  • A cone-beam computed tomography (CT) system for a small animal has been widely used in the bio-medical application. This paper introduced simple methods for evaluating a cone-beam CT system using a simple tungsten wire phantom of 10{$\mu}m$ diameter and a water phantom. Slice images and three-dimensional tomography images were obtained through 360 projection views per one sample rotation under stable X-ray tube conditions for a long running time. The cone-beam CT system at a position of a 1.07 magnification showed a spatial frequency of 13.78 lp/mm ($36.2{\mu}m$ spatial resolution) and gave a CNR of 10.33 and a S/N of 5.87 under a tube voltage of 80kV.

Simple Method of Analysis for Concrete Slab Bridges by the Specially Orthotropic Laminates Theory (특별직교이방성 적층판이론에 의한 콘크리트 슬래브교량의 간편해석법)

  • Han, Bong-Koo;Suck, Jun-Ho
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.1 no.2
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    • pp.59-65
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    • 2010
  • The simple supported reinforced concrete slab bridges are analyzed by the specially orthotropic laminates theory. This method, however, may be too difficult for some practising engineers. In this paper, the result of analysis for such plate by means of the beam theory with unit width is reported. By using the "correction factor", the accurate solution for the plate can be obtained by the beam theory. By using the "correction factor", the accurate solution for the plate can be obtained by the beam theory. The plate aspect ratio considered is from 1 : 1 to 1 : 6. The result of this paper can be used for simply supported slab bridges analysis.

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Nonlinear vibration of unsymmetrical laminated composite beam on elastic foundation

  • Pakar, I.;Bayat, M.;Cveticanin, L.
    • Steel and Composite Structures
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    • v.26 no.4
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    • pp.453-461
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    • 2018
  • In this paper, nonlinear vibrations of the unsymmetrical laminated composite beam (LCB) on a nonlinear elastic foundation are studied. The governing equation of the problem is derived by using Galerkin method. Two different end conditions are considered: the simple-simple and the clamped-clamped one. The Hamiltonian Approach (HA) method is adopted and applied for solving of the equation of motion. The advantage of the suggested method is that it does not need any linearization of the problem and the obtained approximate solution has a high accuracy. The method is used for frequency calculation. The frequency of the nonlinear system is compared with the frequency of the linear system. The influence of the parameters of the foundation nonlinearity on the frequency of vibration is considered. The differential equation of vibration is solved also numerically. The analytical and numerical results are compared and is concluded that the difference is negligible. In the paper the new method for error estimation of the analytical solution in comparison to the exact one is developed. The method is based on comparison of the calculation energy and the exact energy of the system. For certain numerical data the accuracy of the approximate frequency of vibration is determined by applying of the suggested method of error estimation. Finally, it has been indicated that the proposed Hamiltonian Approach gives enough accurate result.