• Title/Summary/Keyword: rectangular beams

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Strength and Initial Stiffness of Composite Beams with a Rectangular Web-Opening (직사각형 웨브 개구부를 가진 합성보의 강도와 초기강성도)

  • 김원기;박노웅;이승준
    • Journal of the Earthquake Engineering Society of Korea
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    • v.3 no.3
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    • pp.55-62
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    • 1999
  • For the efficient performance of steel and composite building structures subjected to strong earthquake, one of current research investigates the cyclic behavior of open-web composite beams. Both experimental test and nonlinear FEM analysis demonstrate their behavior so ductile that four T-sections around the corners of rectangular web-opening develop plastic hinges prior to potential brittle failure at the beam end, i.e. at the column face. This research proposes simplified equations for determining strength and initial stiffness of composite beams with a rectangular web-opening, and compares its results with those of experimental test and nonlinear FEM analysis.

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Prediction of elastic constants of Timoshenko rectangular beams using the first two bending modes

  • Chen, Hung-Liang (Roger);Leon, Guadalupe
    • Structural Engineering and Mechanics
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    • v.80 no.6
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    • pp.657-668
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    • 2021
  • In this study, a relationship between the resonance frequency ratio and Poisson's ratio was proposed that can be used to directly determine the elastic constants. Using this relationship, the frequency ratio between the 1st bending mode and 2nd bending mode for any rectangular Timoshenko beam can be directly estimated and used to determine the elastic constants efficiently. The exact solution of the Timoshenko beam vibration frequency equation under free-free boundary conditions was determined with an accurate shear shape factor. The highest percent difference for the frequency ratio between the theoretical values and the estimated values for all the beam dimensions studied was less than 0.02%. The proposed equations were used to obtain the elastic constants of beams with different material properties and dimensions using the first two measured transverse bending frequencies. Results show that using the equations proposed in this study, the Young's modulus and Poisson's ratio of rectangular Timoshenko beams can be determined more efficiently and accurately than those obtained from industry standards such as ASTM E1876-15 without the need to test the torsional vibration.

Experimental Study on Bond Stress of Concrete Filled Rectangular Steel Tubular Composite Column Subjected to Axial Load (중심 축 하중을 받는 충전각형강관 합성기둥의 부착응력에 관한연구)

  • Lee, Hyung-Seok;Park, Sung-Moo
    • Journal of Korean Association for Spatial Structures
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    • v.3 no.3 s.9
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    • pp.105-110
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    • 2003
  • This paper is presented an experimental studies on bond stress between steel and concrete in concrete filled Rectangular steel tubes. In the actual building frames, vertical dead and live loads on beams are usually transferred to columns by beam-to-column connections. In case when concrete filled steel tubes are used as columns of an actual building frame which has a simple connection, shear forces in the beam ends are not directly transferred to the concrete core but directly to the steel tube. Provided that the bond effect between steel tube and concrete core should not be expected, none of the end shear in the beams would be transferred to the concrete core but only to the steel tube. Therefore, it is important to investigate the bond strength between steel tube and concrete core in the absence of shear connectors.

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A Study on the Vibration Characteristics of the Composite Sandwich Beams for High-Speed Heddle Frame (고속 헤들 프레임용 복합재료 샌드위치 보의 진동 특성에 관한 연구)

  • 이창섭;오제훈;이대길
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.04a
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    • pp.120-125
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    • 2000
  • A heddle frame is the major part of a loom that produces woven cloth by insertion of weft yarns between warp yams. Warp yarns are manipulated by many heddles fixed in a heddle frame. Recently, the up and down speed of heddle frames has been increased much for the increase of productivity, which induces higher inertial stresses and vibrations in the heddle frame. The heddle frame has the rectangular cross-section. For the design of box type beams of rectangular cross-section, extensional stiffness EA, flexural stiffness El, and torsional stiffness GJ as well as the vibration characteristics are important and should be simultaneously considered. Tn this paper, the vibration characteristics of the composite and the composite sandwich beams for high-speed heddle frame were tested by impulse frequency response.

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Effective moment of inertia for rectangular elastoplastic beams

  • Faller, Ronald K.;Rosson, Barry T.
    • Structural Engineering and Mechanics
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    • v.7 no.1
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    • pp.95-110
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    • 1999
  • An effective moment of inertia is developed for a rectangular, prismatic elastoplastic beam with elastic, linear-hardening material behavior. The particular solution for a beam with elastic, perfectly plastic material behavior is also presented with applications for beam bending in closed-form. Equations are presented for the direct application of the virtual work method for elastoplastic beams with concentrated and distributed loads. Comparisons are made between the virtual work method deflections and the deflections obtained by using an average effective moment of inertia over two lengths of the beam in the elastoplastic region.

An Experimental Study on the Evaluation of the Fire-Resistance Performance of a Spray-Applied Rectangular Steel Structure (뿜칠피복 각형 강관의 내화성능 평가를 위한 실험적 연구)

  • Ok, Chi-Yeol;Kim, Jae-Jun
    • Journal of Korean Association for Spatial Structures
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    • v.17 no.1
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    • pp.41-47
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    • 2017
  • Structures of steel frame buildings getting vary depending on the development of construction technology. Fire-resistant steel beams and Columns accredited by accreditation bodies from the performance of various fire-resistant coating is applied to the current pillar method is most H-beams. H-beam has been proposed a non-load test specifications in the relevant regulations, its scope of accreditation to be granted without limitation of size H-beams from the performance of the test specification. However, in the case of the rectangular steel structure is to check its performance and to a separate one of the receive acknowledge and so take advantage of the cross-sectional shape factor in this study to test the performance of the fire-resistant structure proposed for standard test specimen.

Nominal flexural strength of high-strength concrete beams

  • Al-Kamal, Mustafa Kamal
    • Advances in concrete construction
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    • v.7 no.1
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    • pp.1-9
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    • 2019
  • The conventional ACI rectangular stress block is developed on the basis of normal-strength concrete column tests and it is still being used for the design of high-strength concrete members. Many research papers found in the literature indicate that the nominal strength of high-strength concrete members appears to be over-predicted by the ACI rectangular stress block. This is especially true for HSC columns. The general shape of the stress-strain curve of high-strength concrete becomes more likely as a triangle. A triangular stress block is, therefore, introduced in this paper. The proposed stress block is verified using a database which consists of 52 tested singly reinforced high-strength concrete beams having concrete strength above 55 MPa (8,000 psi). In addition, the proposed model is compared with models of various design codes and proposals of researchers found in the literature. The nominal flexural strengths computed using the proposed stress block are in a good agreement with the tested data as well as with that obtained from design codes models and proposals of researchers.

Post-heating behavior of concrete beams reinforced with fiber reinforced polymer bars

  • Irshidat, Mohammad R.;Haddad, Rami H.;Almahmoud, Hanadi
    • Structural Engineering and Mechanics
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    • v.53 no.6
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    • pp.1253-1269
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    • 2015
  • The present paper investigates the post heating behavior of concrete beams reinforced with fiber reinforced polymer (FRP) bars, namely carbon fiber reinforced polymer (CFRP) bars and glass fiber reinforced polymer (GFRP) bars. Thirty rectangular concrete beams were prepared and cured for 28 days. Then, beams were either subjected (in duplicates) to elevated temperatures in the range (100 to $500^{\circ}C$) or left at room temperature before tested under four point loading for flexural response. Experimental results showed that beams, reinforced with CFRP and GFRP bars and subjected to temperatures below $300^{\circ}C$, showed better mechanical performance than that of corresponding ones with conventional reinforcing steel bars. The results also revealed that ultimate load capacity and stiffness pertaining to beams with FRP reinforcement decreased, yet their ultimate deflection and toughness increased with higher temperatures. All beams reinforced with FRP materials, except those post-heated to $500^{\circ}C$, failed by concrete crushing followed by tension failure of FRP bars.

Computational Lagrangian Multiplier Method by using for optimization and sensitivity analysis of rectangular reinforced concrete beams

  • Shariat, Mehran;Shariati, Mahdi;Madadi, Amirhossein;Wakil, Karzan
    • Steel and Composite Structures
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    • v.29 no.2
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    • pp.243-256
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    • 2018
  • This study conducts an optimization and sensitivity analysis on rectangular reinforced concrete (RC) beam using Lagrangian Multiplier Method (LMM) as programming optimization computer soft ware. The analysis is conducted to obtain the minimum design cost for both singly and doubly RC beams according to the specifications of three regulations of American concrete institute (ACI), British regulation (BS), and Iranian concrete regulation (ICS). Moreover, a sensitivity analysis on cost is performed with respect to the effective parameters such as length, width, and depth of beam, and area of reinforcement. Accordingly, various curves are developed to be feasibly utilized in design of RC beams. Numerical examples are also represented to better illustrate the design steps. The results indicate that instead of complex optimization relationships, the LMM can be used to minimize the cost of singly and doubly reinforced beams with different boundary conditions. The results of the sensitivity analysis on LMM indicate that each regulation can provide the most optimal values at specific situations. Therefore, using the graphs proposed for different design conditions can effectively help the designer (without necessity of primary optimization knowledge) choose the best regulation and values of design parameters.

Distribution of the Equivalent Rectangular Stress Block for High-Strength Polymer Concrete Beams (고강도 폴리머 콘크리트보의 등가직사각형 응력분포)

  • 김관호;연규석;김남길;조규우
    • Proceedings of the Korea Concrete Institute Conference
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    • 2001.05a
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    • pp.915-920
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    • 2001
  • This study was conducted to analysis the distribution of the rectangular stress block for high-strength polymer concrete beam. C-shaped specimens were produced and tested to compute parameters of the rectangular stress block. They were $\kappa_{1}$ = 0.73, $\kappa_{3}$ = 0.94 and $\gamma$= 0.845, respectively. Experimental value of flexural strength of beam was same to be compared with theoretical value. But there is desirable to need many experimental data in order to exact design of polymer concrete structure.

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