• 제목/요약/키워드: moment equations

검색결과 530건 처리시간 0.029초

A computer program for the analysis of reinforced concrete frames with cracked beam elements

  • Tanrikulu, A. Kamil;Dundar, Cengiz;Cagatay, Ismail H.
    • Structural Engineering and Mechanics
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    • 제10권5호
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    • pp.463-478
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    • 2000
  • An iterative procedure for the analysis of reinforced concrete frames with beams in cracked state is presented. ACI and CEB model equations are used for the effective moment of inertia of the cracked members. In the analysis, shear deformations are taken into account and reduced shear stiffness is considered by using effective shear modulus models available in the literature. Based on the aforementioned procedure, a computer program has been developed. The results of the computer program have been compared with the experimental results available in the literature and found to be in good agreement. Finally, a parametric study is carried out on a two story reinforced concrete frame.

양단단순-타단자유 지지된 적층복합판의 처짐에 대한 종방향 모멘트 무시효과 (The Effect of Neglecting The Longitudinal Moment Terms on The Deflection of Laminated Plates with a Pair of Opposite Edges Simple Supported and The Other Pair of Opposite Edges Free)

  • 김덕현;원치문;심도식;이원석
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 가을 학술발표회 논문집
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    • pp.77-83
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    • 1998
  • The most of the design engineers for construction has academic background of bachelors degree. Theories for advanced composite structures are too difficult for such engineers and some simple but accurate enough methods are necessary. The senior author has reported that some laminate orientations have decreasing values of B$_{16}$, B$_{26}$, D$_{26}$, and D$_{26}$ stiffnesses as the ply number increases. Such plates above behave as special orthotropic plates and simple formulas developed by the senior author[1, 3] can be used. Most of the bridge and building slabs on girders have large aspect ratios. For such cases further simplification is possible by neglecting the effect of the longitudinal moment terms(M$_{x}$) on the relevant partial differential equations of equilibrium. In this paper, the result of the study on the subject problem is presented.ted.d.

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원통형 쉘의 휨 좌굴 거동에 대한 연구 (A Study on the Bending Buckling Behavior of Circular Cylindrical Shells)

  • 정진환;김성도;하지명
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 가을 학술발표회 논문집
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    • pp.208-215
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    • 1998
  • A stability problems of isotropic shells under pure bending is investigated based on the classical shells theory. The governing equations of stability problem presented by Donnell and Love, are developed and the solutions for the cylindrical shells are obtained by using Galerkin method. Bending moment is applied at the ends of the cylindrical shell as a from of distributed load in the shape of sine curve. For the isotropic materials, the result of the general purpose structural analysis program based on the finite element method are compared with the critical moment obtained from the classical shell theories. The critical loads for the cylindrical shells with various geometry can not be evaluated with a simple equation. However, accurate solutions for the stability problems of cylindrical shells can be obtained through the equilibrium equation developed in the study.

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집중하중을 받는 변단면 고정-이동지점 보의 비선형 거동 (Non-Linear Behavior of Tapered Beams with Clamped-Roller Ends, subjected to a Concentrated Load)

  • 이병구;이종국;최규문;김무영
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
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    • pp.201-208
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    • 2000
  • This paper explores the non-linear behavior of tapered beam subjected to a floating concentrated load. For applying the Bernoulli-Euler beam theory to this beam, the bending moment at any point of elastica is obtained from the final equilibrium state. By using the bending moment equation and the Bernoulli-Euler beam theory, the differential equations governing the elastica of clamped-roller beam are derived, and solved numerically. Three kinds of tapered beam types are considered. The numerical results of the non-linear behavior obtained in this study are agreed quite well to the results obtained from the laboratory-scale experiments.

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Simplified equations for Vierendeel design calculations of composite beams with web openings

  • Panedpojaman, Pattamad
    • Steel and Composite Structures
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    • 제27권4호
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    • pp.401-416
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    • 2018
  • Composite beams with web openings are vulnerable to Vierendeel bending failure. The available methods provide quite conservative estimates of Vierendeel bending resistance. An alternative design method to compute the resistance was proposed in this study, based on quadratic nonlinear interactions of normalized shear force, axial force and Vierendeel bending moment. The interactions of the top and bottom Tee section must satisfy mutual conditions to prevent the Vierendeel failure. The normalized shear force and Vierendeel bending moment of the composite part were used instead in the top Tee interaction. The top Tee axial force was computed based on force equilibrium. Based on a rigid-plastic model, the composite resistance is estimated using an effective slab width of the vertical shear resistance. On using the proposed method, nonlinear reductions due to shear loads and axial forces are not required, in contrast to prior methods. The proposed method was validated against experiments from literature. The method limitations and accuracy as well as the Vierendeel behavior were investigated by finite element simulations, with varied composite beam parameters. The proposed design loads are less conservative than earlier estimates and deviate less from the simulations.

적층형태 및 보강방향에 따른 복합적층판의 종방향 모멘트 무시효과 (The Effect on Neglecting the Longitudinal Moment Terms in a Composite Liminate Plate with Stacking Sequence and Fiber Orientation)

  • 이봉학;이정호;홍창우;김경진
    • 산업기술연구
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    • 제18권
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    • pp.97-105
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    • 1998
  • The most of the design engineers for construction has academic background of bachelors degree. Theories for advanced composite structures are too difficult for such engineers and some simple but accurate enough methods are necessary. The senior author has reported that some laminate orientations have decreasing values of $D_{16}$, $B_{16}$, $D_{26}$ and $B_{26}$ stiffnesses as the ply number increases. Such plates behave as special orthotropic plates and simple formulas developed by the author can be used. Most of the bridge and building slabs on girders have large aspect ratios. For such cases further simplification is possible by neglecting the effect of the longitudinal moment terms($M_x$) on the relevant partial differential equations of equilibrium. In this paper, the result of the study on the subject problem is presented.

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On the evaluation of critical lateral buckling loads of prismatic steel beams

  • Aydin, R.;Gunaydin, A.;Kirac, N.
    • Steel and Composite Structures
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    • 제18권3호
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    • pp.603-621
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    • 2015
  • In this study, theoretical models and design procedures of the behavior of thin-walled simply supported steel beams with an open cross section under a large torsional effect are presented. I-sections were chosen as the cross section types. Firstly, the widely used differential equations for the lateral buckling for the pure bending moment effect in a beam element were adopted for the various moment distributions along the span of the beam. This solution was obtained for both mono-symmetric and bisymmetric sections. The buckling loads were then obtained by using the energy method. When using the energy method to solve the problem, it is possible to locate the load not only on the shear center but also at several points of the section depth. Buckling loads were obtained for six different load types. Results obtained for different load and cross section types were checked with ABAQUS software and compared with several standard rules.

The Effects of Mean-Line Shape on Longitudinal Stablility of a Wing in Ground Effect

  • Kim, Wu-Joan;Shin, Myung-Soo
    • Journal of Hydrospace Technology
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    • 제2권2호
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    • pp.14-23
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    • 1996
  • The Reynolds-averaged Navier-Stokes equations for turbulent flow around a two-dimensional foil section moving ova. a flat surface (roller plate) is solved. The numerical method utilized the finite-difference schemes in collocated grids and the Baldwin-Lomax model is employed for turbulence closure. Calculations are carried out for three foil sections of different mean-line shape with various height ratio. As a foil approaches the bottom surface, the lift is augmented, while there exist some differences in pitching moment due to mean-line shape. It was found that the S-shaped mean line deteriorates lift characteristics but increases pitching moment to restore the designed height.

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Simulation of Vehicle Steering Control through Differential Braking

  • Jang, Bong-Choon;Yun, Yeo-Heung;Lee, Seong-Cheol
    • International Journal of Precision Engineering and Manufacturing
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    • 제5권3호
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    • pp.26-34
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    • 2004
  • This paper examines the usefulness of a Brake Steer System(BSS), which uses differential brake forces for steering intervention in the context of Intelligent Transportation Systems(ITS). In order to help the car to turn, a yaw moment control was achieved by altering the left/right and front/rear brake distribution. This resulting yaw moment on the vehicle affects lateral position thereby providing a limited steering function. The steering function achieved through BSS was used to control lateral position in an unintended road departure system. A 8-DOF nonlinear vehicle model including STI tire model was validated using the equations of motion of the vehicle. Then a controller was developed. This controller, which is a PID controller tuned by Ziegler-Nichols, is designed to explore BSS feasibility by modifying the brake distribution through the control of the yaw rate of the vehicle.

변화위치 집중하중을 받는 변단면 단순보의 비선형 거동 (Non-Linear Behavior of Tapered Simple Beam with a Floating Concentrated Load)

  • 이병구
    • 한국농공학회지
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    • 제42권2호
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    • pp.108-114
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    • 2000
  • This paper explores the non-linear behavior of tapered beam subjected to a floating concentration load. For applying the Bernoulli-Euler beam theory to this beam, the bending moment at any point of elastical is obtained from the final equilibrium stage. By using the bending moment equation and the Bernoulli-Euler beam theory, the differential equations governing the elastica of simple beam are derived , and solved numberically . Three kinds of tapered beam types are considered . The numerical results of the non-linear behavior obtained in this study are agreed quite well to the results obtained from the laboratory-scale experiments.

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