• Title/Summary/Keyword: Deflection Length

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Free Vibrations of Timoshenko Beam with Elastomeric Bearings at Two Far Ends (양단이 탄성받침으로 지지된 Timoshenko 보의 자유진동)

  • Lee, Byoung Koo;Lee, Tae Eun;Park, Chang Eun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.3A
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    • pp.181-187
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    • 2011
  • This paper deals with free vibrations of the Timoshenko beam supported by two elastomeric bearings at two far ends. The ordinary differential equation governing free vibrations of such beam is derived, in which both effects of rotatory inertia and shear deformation are included as the Timoshenko beam theory. Also, boundary conditions of the free end are derived based on the Timoshenko beam theory. The ordinary differential equation is solved by the numerical methods for calculating natural frequencies and mode shapes. Both effects of the rotatory inertia and shear deformation on natural frequencies are extensively discussed. Also, relationships between natural frequencies and slenderness ratio, foundation modulus and bearing length are presented. Typical mode shapes of bending moment and shear force as well as deflection are given in figures which show the positions of maximum amplitudes and nodal points.

A COMPARATIVE STUDY ON THE FLEXIBILITY OF THE WROUGHT WIRE CLASPS (가공선 크라스프의 가요성에 관한 비교 연구)

  • Eom, Tae-Wan;Chang, Ik-Tae;Kim, Kwang-Nam
    • The Journal of Korean Academy of Prosthodontics
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    • v.27 no.2
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    • pp.261-270
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    • 1989
  • Bend test is one of the methods comparing the physical properties of the clasp wires. The type of bend test used in this investigation was the cantilever loading of a wrought wire. The purpose of this study was to compare the flexibility of a number of commonly used clasp wires, in according to gauge, alloy and heat treatment, under specific condition of load and deflection. Seven noble and one base metal wires were tested under three conditions as follows: (1) as received, (2) quenched (placed in an over at $700^{\circ}C$ for ten minutes and immediately quenched in water at room temperature.), (3) oven cooled (quencned as described, then placed in an oven at $450^{\circ}C$ for two minutes and uniformly slowly cooled to $250^{\circ}C$ in thirty minutes.) The basic test specimen consists of a sample 25 mm in length and 19, 18 gauge in diameter (17 gauge also in two alloys), and the wire was loaded in the form of straight cantilever beams. Force at 0.25 mm (0.01 inch) and 0.5 mm (0.02 inch) deflections for all samples were recorded. The results were as follows ; 1. Ticonium was least flexible and No. 2 was most flexible in according to gauge, alloy and heat treatment. 2. In most of precious wrought wire, the flexibility was increased, but there was no statistically significant differences between as-received and softened condition. 3. There was no statistically differences between as-received and hardened condition. 4. For each alloy, there were statistically significant differences in flexibility due to clasp diameter.

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Fracture Characteristics of Polypropylene Fiber Reinforced Concrete (폴리프로필렌 섬유보강 콘크리트의 파괴특성 연구)

  • Shin-Won Paik
    • Journal of the Korean Society of Safety
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    • v.12 no.4
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    • pp.230-240
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    • 1997
  • An experimental research investigation of the fracture properties of polypropylene fiber reinforced concrete is reported. Fibers used in this experiment were two types, monofilament and fibrillated polypropylene fibers. Fiber length was 19 mm, and volume fractions were 0, 1, 2, and 3%. Also, as initial notch depths influence the fracture properties of fiber reinforced concrete, the notch depth ratios by specimen height were 0.15, 0.30 and 0.45. The main objective of this experimental program is to obtain the load-deflection and the load-CMOD curves, to investigate the fracture properties of the polypropylene fiber reinforced concretes. Therefore, the flexural specimen testings on the four-point bending were conducted. Then, the load-load point displacement and the load-crack mouth opening displacement curves were measured. The effects of different volume fractions of the monofilament and the fibrillated polypropylene fiber reinforced concrete on the compressive strength, flexural strength and toughness, stress intensity factor, and fracture energy were investigated through the experimental results.

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Preparation of Self-reinforced Silicon Carbide Ceramics by Hot Pressing (가압소결에 의한 자체강화 탄화규소 세라믹스의 제조)

  • Park, Jong-Gon;Lee, Jong-Kook;Seo, Dong-Seok;Kim, Min-Jeong;Lee, Eun-Gu;Kim, Hwan
    • Journal of the Korean Ceramic Society
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    • v.36 no.12
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    • pp.1356-1363
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    • 1999
  • Self-reinforced silicon carbide was prepared by hot pressing and the control of starting phases of raw materials and its microstructural characteristics was investigated. The specimens with self-reinforced microstructure were obtained from the compacts with mixed compositions of ${\alpha}$-and ${\beta}$-SiC powders. Self-reinforced microstructure which is composed of large dispersed grains with rod-like shape and matrix with small equiaxed grains was formed by the transformation to the ${\alpha}$-SiC with 4H polytype for ${\beta}$-SiC and anisotropic grain growth during the heat treatment. Of all speimens the values of volume fraction maximum length and aspect ratio for large grains with rode-like types were the highest at the specimen with 50 vol% ${\beta}$-SiC in the starting SiC powder and therefore this specimen showed the highest fracture toughness due to the crack deflection by rod-like grains during crack propagation.

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Comparison Study of An Improved Initial Force and TCUD Method for Initial Shape Analysis of Cable-Stayed Bridges (사장교의 초기형상해석을 위한 개선된 초기부재력법 및 TCUD법의 비교연구)

  • Kim, Dong-Yeong;Jo, Kyeong-Sik;Kim, Moon-Young
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.1
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    • pp.101-108
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    • 2012
  • Initial shape analysis for cable-stayed bridges should be able to find optimizated initial cable forces and unstrained length that minimize deflection and bending moments of the deck and pylon. Comparison study of an improved initial force method and TCUD method for determination of initial cable forces in cable-stayed bridges is presented in this paper. For this purpose, an elastic catenary cable element and a nonlinear frame element are firstly described. And concepts and algorithm of two analysis methods are then presented. Finally to demonstrate the validity and the accuracy of two methods, numerical examples for initial state problems of cable-stayed bridges are given and compared based on these methods.

A Study of Circulating Water Channel (회유수조 제작 및 시험에 관한 연구)

  • CHANG Jee Won;HA Kang Lyeol;LEE Woon Hee
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.18 no.1
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    • pp.8-14
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    • 1985
  • A circulation water channel with observational section of $4m{\times}2.4m{\times}1m(length{\times}breadth{\times}depth)$ and the maximum channel flow speed of 2 m/sec was designed for model tests of fishing gears. It consists of 6 sections evenly divided for easy connection. Two observational acryl windows of $1.2m{\times}1.5m$ and 2cm thick are provided. Steel deflection plates, equally spaced in 20-40cm, are fixed at corners of the channel to reduce the loss of water pressure head through the channel. The flow in the channel is controlled by D.C. motor control system with 50 H.P. driving propeller system. A series of model testing capabilities for fishing gear have been examined and the results are as follows. 1) The speed of water flow was in the range from zero to 2.3 m/sec. 2) The difference between the velocity of channel flow along the center line and that along both sides in the channel was less than 0.2 m/sec.

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Experimental Evaluation of Effective Flexural Rigidity in Reinforced Concrete Beams Considering Tension Stiffening Effect (인장증강효과를 고려한 철근콘크리트 보의 유효휨강성 평가)

  • Lee Seung-Bea;Jang Su-Youn;Kim Sang-Sik;Lee Jin-Seop
    • Journal of the Korea Concrete Institute
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    • v.17 no.6 s.90
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    • pp.1033-1042
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    • 2005
  • Until recently tensile stresses in concrete have not been considered, since it does not affect the ultimate strength of reinforced concrete flexural members significantly However, to verify the load-deflection relationship, the effect of tensile stresses between reinforcing bars and concrete, so-called tension stiffening effect must be taken into account. Main parameters of the tension stiffening behavior are known as concrete strength, and bond between concrete and reinforcing bars. In this study total twenty specimens subjected to bending were tested with different concrete strength, coverage, and de-bonding length of longitudinal bars. The effects of these parameters on the flexural rigidity, crack initiation and propagation were carefully checked and analyzed.

Flexural behavior of beams reinforced with either steel bars, molded or pultruded GFRP grating

  • Hadi, Muhammad N.S.;Almalome, Mohammed H.A.;Yu, Tao;Rickards, William A.
    • Steel and Composite Structures
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    • v.34 no.1
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    • pp.17-34
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    • 2020
  • This paper investigates the flexural behavior of concrete beams reinforced longitudinally with either steel bars, molded glass-fiber reinforced polymer (GFRP) grating mesh or pultruded glass-fiber reinforced polymer (GFRP) grating mesh, under four-point bending. The variables included in this study were the type of concrete (normal weight concrete, perlite concrete and vermiculite concrete), type of the longitudinal reinforcement (steel bars, molded and pultruded GFRP grating mesh) and the longitudinal reinforcement ratio (between 0.007 and 0.035). The influences of these variables on the load-midspan deflection curves, bending stiffness, energy absorption and failure modes were investigated. A total of fifteen beams with a cross-sectional dimension of 160 mm × 210 mm and an overall length of 2400 mm were cast and divided into three groups. The first group was constructed with normal weight concrete and served as a reference concrete. The second and third groups were constructed with perlite concrete and vermiculite concrete, respectively. An innovative type of stirrup was used as shear reinforcement for all beams. The results showed that the ultimate load of the beams reinforced with pultruded GFRP grating mesh ranged between 19% and 38% higher than the ultimate load of the beams reinforced with steel bars. The bending stiffness of all beams was influenced by the longitudinal reinforcement ratio rather than the type of concrete. Failure occurred within the pure bending region which means that the innovative stirrups showed a significant resistance to shear failure. Good agreement between the experimental and the analytical ultimate load was obtained.

Development of a Robot Gripper For Handling Seedling Trays (육묘상자 취급을 위한 로봇 핸드의 개발)

  • Kim, Ki Dae;Cho, Sung Wha;Seo, Il Hwan;Lee, Hyun Dong
    • Korean Journal of Agricultural Science
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    • v.23 no.2
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    • pp.227-232
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    • 1996
  • It is a tedious job to handle seedling trays in a green house with human hands because of their fluctuation when they are moving. A robotic gripper for handling a seedling tray has been developed., which has two fingers consisting of the vertical and horizontal bars. The maximum deflections at the center of the seedling trays were measured with various lengths of the horizontal bars. The length of 250 mm was revealed to be optimal one, resulting less than 15 mm deflection with a $540{\times}270mm$ seedling tray, which was acceptable for a practical use. For this study a LM system was adopted to move the fingers. To validate this system the robotic gripper was installed on a Cartesian robotic manipulator and their performance was tested several times with great success. The robotic manipulator used in this study was a general one, so a special one for this robotic gripper needs to be developed in future.

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Dynamic Optimal Design of Continuous Beams (연속보의 동적 최적설계에 관한 연구)

  • 이병구;오상진;모정만
    • Computational Structural Engineering
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    • v.10 no.2
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    • pp.233-242
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    • 1997
  • The main purpose of this paper is to investigate the dynamic optimal design of continuous beams. The computer-aided optimization technique is used to obtain the near-optimal parameters of continuous beam. The computer program is developed to obtain the natural frequency parameters and the forced vibration responses to a transit point load for the continuous beam with variable support spacing, mass and stiffness. The model test data is in good agreement with the computer calculation, which serves to validate the mathematical analysis. The optimization function to describe the design efficiency is defined as a linear combination of four dimensionless span characteristics; the maximum dynamic stress; the stress difference between span segments; the rms deflection under the transit point load; and the total span mass. Studies of three span beams show that the beam with near-optimal parameters can improve design efficiency when compared to a uniform beam with even spacing of the same total span length.

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