• Title/Summary/Keyword: Longitudinal Stiffness

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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.

Unified calculation model for the longitudinal fundamental frequency of continuous rigid frame bridge

  • Zhou, Yongjun;Zhao, Yu;Liu, Jiang;Jing, Yuan
    • Structural Engineering and Mechanics
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    • v.77 no.3
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    • pp.343-354
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    • 2021
  • The frequencies formulas of the bridge are of great importance in the design process since these formulas provide insight dynamic characteristics of the structure, which guides the designers to parametric analyses and the layout of the bridge in conceptual or preliminary design. Continuous rigid frame bridge is popular in the mountainous area. Mostly, this type of bridge was simplified either as a girder or cantilever when calculating the frequency, however, studies showed that the different configuration of the bridge made the problem more complex, and there is no unified fundamental calculation pattern for this kind of bridge. In this study, an empirical frequency equation is proposed as a function of pier's height, stiffness of pier and the weight of the structure. A unified fundamental frequency formula is presented based on the energy principle, then the typical continuous rigid frame bridge is investigated by finite element method (FEM) to study the dynamic characteristics of the structure, and then several key parameters are investigated on the effect of structural frequency. These parameters include the number, position and stiffness of the tie beam. Nonlinear regression analyses are conducted with a comprehensive statistical study from plenty of engineering structures. Finally, the proposed frequency equation is validated by field test results. The results show that the fundamental frequency of the continuous rigid frame bridge increases more than 15% when the tie beams are set, and it increases with the stiffness ratio of tie beam to pier. The results also show that the presented unified fundamental frequency has an error of 4.6% compared with the measured results. The investigation can predicate the approximate longitudinal fundamental frequency of continuous ridged frame bridge, which can provide reference for the seismic response and dynamic impact factor design of the pier.

A Study on the Effect of Changes in Chevron Rubber Characteristics on the Vibrational Ride Comfort Level of a Subway Vehicle (도시철도차량 세브론 고무 특성 변화가 진동승차감 레벨에 미치는 영향 연구)

  • Park, Nam Cheol;Koo, Jeong Seo
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.15 no.2
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    • pp.57-65
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    • 2016
  • The suspension system of a subway vehicle is composed of $1^{st}$ and $2^{nd}$ springs. The suspension system is the most important parameter in determining the vibration ride comfort. If the $1^{st}$ suspension spring is designed as a spring with strong stiffness to improve the running stability at high speed, it causes vehicle vibrations. In this paper, by testing and analyzing changes of the characteristics of Chevron springs, which have been the primary suspension springs used for about 20 years, we study how changing the characteristics affects vehicle acceleration and ride comfort. The lateral and longitudinal vibrational ride comfort index levels were lower than the vertical ones. Therefore, as increasing the stiffness of Chevron springs has the greatest effect on the vertical vibrational ride comfort index level, a countermeasure for vertical vibration reduction is needed when the stiffness increases owing to aging. Finally, maintenance guidelines, including the replacement time for the Chevron rubber, were proposed based on these findings.

Buckling Strength Increment of Curved Panels Due to Rotational Stiffness of Closed-Section Ribs Under Uniaxial Compression

  • Andico, Arriane Nicole P.;Park, Yong-Myung;Choi, Byung H.
    • International journal of steel structures
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    • v.18 no.4
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    • pp.1363-1372
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    • 2018
  • Recently, there have been studies about the increasing effect on the local plate buckling strength of flat plates when longitudinally stiffened with closed-section ribs and an approximate solution to quantitatively estimate these effects were suggested for flat plates. Since there are few studies to utilize such increasing effect on curved panels and a proper design method is not proposed, thus, this study aims to numerically evaluate such effect due to the rotational stiffness of closed-section ribs on curved panels and to propose an approximate method for estimating the buckling strength. Three-dimensional finite element models were set up using a general structural analysis program ABAQUS and a series of parametric numerical analyses were conducted in order to examine the variation of buckling stresses along with the rotational stiffness of closed-section ribs. By using a methodology that combine the strength increment factor due to the restraining effect by closed-section ribs and the buckling coefficient of the panel curvature, the approximate solutions for the estimation of buckling strength were suggested. The validity of the proposed methods was verified through a comparative study with the numerical analysis results.

Degree of Restraint(DOR) of Longitudinal Steel at Continuously Reinforced Concrete Pavement(CRCP) Against Environmental Loadings (환경하중에 의한 연속철근콘크리트(CRCP) 종방향 철근의 구속정도)

  • Nam, Jeong-Hee;Ahn, Sang Hyeok
    • International Journal of Highway Engineering
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    • v.16 no.6
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    • pp.95-104
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    • 2014
  • PURPOSES : The purpose of this study is to evaluate the degree of restraint (DOR) of longitudinal steel at continuously reinforced concrete pavement (CRCP) against environmental loadings. METHODS : To measure the longitudinal steel strain, 3-electrical resistance and self-temperature compensation gauges were installed to CRCP test section (thickness = 250mm, steel ratio = 0.7%) and continuously measured 10 min. intervals during 259 days. In order to properly analyze the steel strains first, temperature compensation process has been conducted. Secondly, measured steel strains were divided into 12 phases with different events such as before paving, during concrete hardening, and after first cracking, etc. RESULTS : Thermal strain rate (TSR) concept is defined as the linear strain variations with temperature changes and restraints rate of longitudinal steel against environmental loadings (especially thermal loading) with different cases is defined as degree of restraint(DOR). New concept of DOR could be indirect indicator of crack width behaviors of CRCP. CONCLUSIONS : Before paving, DOR of longitudinal steel is almost same at the coefficient of thermal expansion of steel ($12.44m/m/^{\circ}C$) because of no restraint boundary condition. After concrete pouring, DOR is gradually changed into -1 due to concrete stiffness developing with hydration. After first cracking at crack induced area, values of DOR are around -3~-5. The negative DOR stands for the crack width behavior instead of steel strain behavior. During winter season, DOR reached to -5.77 as the highest, but spring this values gradually reduced as -1.7 as the lowest. Based on this observation, we can presume crack width decreased over time within the time frame of this study. This finding is not consistent with the current theory on crack width variations over time, so further study is necessary to identify the causes of crack width reducing. One of the reasons could be related to concrete stress re-distribution and stress relaxation.

Study of the longitudinal reinforcement in reinforced concrete-filled steel tube short column subjected to axial loading

  • Alifujiang Xiamuxi;Caijian Liu;Alipujiang Jierula
    • Steel and Composite Structures
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    • v.47 no.6
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    • pp.709-728
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    • 2023
  • Experimental and analytical studies were conducted to clarify the influencing mechanisms of the longitudinal reinforcement on performance of axially loaded Reinforced Concrete-Filled Steel Tube (R-CFST) short columns. The longitudinal reinforcement ratio was set as parameter, and 10 R-CFST specimens with five different ratios and three Concrete-Filled Steel Tube (CFST) specimens for comparison were prepared and tested. Based on the test results, the failure modes, load transfer responses, peak load, stiffness, yield to strength ratio, ductility, fracture toughness, composite efficiency and stress state of steel tube were theoretically analyzed. To further examine, analytical investigations were then performed, material model for concrete core was proposed and verified against the test, and thereafter 36 model specimens with four different wall-thickness of steel tube, coupling with nine reinforcement ratios, were simulated. Finally, considering the experimental and analytical results, the prediction equations for ultimate load bearing capacity of R-CFSTs were modified from the equations of CFSTs given in codes, and a new equation which embeds the effect of reinforcement was proposed, and equations were validated against experimental data. The results indicate that longitudinal reinforcement significantly impacts the behavior of R-CFST as steel tube does; the proposed analytical model is effective and reasonable; proper ratios of longitudinal reinforcement enable the R-CFSTs obtain better balance between the performance and the construction cost, and the range for the proper ratios is recommended between 1.0% and 3.0%, regardless of wall-thickness of steel tube; the proposed equation is recommended for more accurate and stable prediction of the strength of R-CFSTs.

Treatment of Hallux Valgus with Metatarsal Double Osteotomy and Longitudinal Pin Fixation (중족골 이중절골술 및 K-강선을 사용한 종 고정술에 의한 무지외반증의 치료)

  • Sohn, Sung-Keun;Kim, Sung-Soo;Kim, Chul-Hong;Lee, Myung-Jin;Kang, Jin-Hun;Lee, Chan-Woo
    • Journal of Korean Foot and Ankle Society
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    • v.10 no.2
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    • pp.223-229
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    • 2006
  • Purpose: The purpose of this study was to analyze the results of the treatment of hallux valgus with metatarsal double osteotomy and longitudinal pin fixation. Materials and Methods: We reviewed 19 patients (21 feet) who had been treated by metatarsal double osteotomy and longitudinal pin fixation for the moderate or severe hallux valgus with increased distal metatarsal articular angle (DMAA), between 1999 and 2004. They were followed prospectively for a minimum of 20 months. Functional outcomes were measured via Hallux metatarsophalangeal-Interphalangeal (HMI) scale and Mayo clinic forefoot scoring system (FFSS). Radiographically, we assessed pre, postoperative and at the last follow-up, the hallux valgus angle (HVA), 1st and 2nd intermetararsal angle (IMA), DMAA. Results: The average preoperative HVA, IMA, DMAA measured $36.76^{\circ}$, $13.62^{\circ}$, $26.00^{\circ}$, respectively. At the last follow-up, HVA, IMA, DMAA measured $9.57^{\circ}$, $7.14^{\circ}$, $9.33^{\circ}$. The correction of HVA, IMA, DMAA were $27.19^{\circ}$, $6.48^{\circ}$, $6.67^{\circ}$. At the last follow-up, there were no recurrences and complications, except two patients complained of unsatisfactory stiffness in the 1st metatarsophalangeal joint and subjectively rated their results as fair. The others rated that as excellent or good. At the last follow-up, statistically, the mean HMI scale and FFSS improved significantly from pre-operative score. Conclusions: In the treatment of moderate or severe hallux valgus with increased DMAA by metatarsal double osteotomy and longitudinal pin fixation, we had good functional and radiological results without recurrences and significant complications. But the stiffness in the 1st metatarsophalangeal joint warrants further study.

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Seismic Performance of Circular RC Bridge Columns with Longitudinal Steel Connection Details (축방향철근 연결상세에 따른 철근콘크리트 원형교각의 내진성능)

  • Lee Jae-Hoon;Son Hyeok-Soo;Ko Seong-Hyun
    • Journal of the Korea Concrete Institute
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    • v.16 no.2 s.80
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    • pp.249-260
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    • 2004
  • The longitudinal steel connection of reinforced concrete bridge column is sometimes practically unavoidable, however the current Korean bridge design specifications have no special provisions about lap-splices of longitudinal steel. This paper reports experimental results of a research program investigating the seismic performance of circular RC bridge columns with respect to longitudinal steel connection detailing. Twenty-one circular column specimens were tested under quasi-static test. The columns with the entire longitudinal steel lap-spliced within plastic hinge region show relatively sudden strength degradation and low ductility than the columns with continuous longitudinal steel and the columns with half of longitudinal steel lap-spliced. However, the seismic performance of the column with mechanically connected longitudinal steel is similar to that of the column with continuous longitudinal steel. The final objectives of this study are to suggest appropriate longitudinal reinforcement connection details for the limited ductility design concept and to provide quantitative reference data and tendency for performance or damage assessment based on the performance levels such as cracking, yielding, collapse, etc. Ultimate displacement/drift ratio, displacement ductility, response modification factor, equivalent viscous damping ratio, residual deformation index, and effective stiffness are investigated and discussed in this paper.

Stress Distribution in Concrete Pavements under Multi-Axle Vehicle Loads Obtained Using Transformed Field Domain Analysis (변환영역 해석법을 통한 콘크리트 도로 포장의 다축 차량 하중에 대한 응력 분포 분석)

  • Kim, Seong-Min;Shim, Jae-Soo;Park, Hee-Beom
    • Journal of the Korea Concrete Institute
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    • v.18 no.5 s.95
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    • pp.695-702
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    • 2006
  • The stress distribution and the critical stresses in concrete pavements were analyzed using formulations in the transformed field domains when dual-wheel single-, tandem-, and tridem-axle loads were applied. First the accuracy of the transformed field domain analysis results was verified by comparing with the finite element analysis results. Then, the stress distribution along the longitudinal and transverse directions was investigated, and the effects of slab thickness, concrete elastic modulus, and foundation stiffness on the stress distribution were studied. The effect of the tire contact pressure related to the tire print area was also studied, and the location of the critical stress occurrence in concrete pavements was finally investigated. From this study, it was found that the critical concrete stress due to multi-axle loads became larger as the concrete elastic modulus increased, the slab thickness increased, and the foundation stiffness decreased. The number of axles did not tend to affect the critical stress ratio except for a small foundation stiffness value with which the critical stress ratio became significantly larger as the number of axles increased. The critical stress location in the transverse direction tended to move into the interior as the tire contact pressure increased, the concrete elastic modulus increased, the slab thickness increased, and the foundation stiffness decreased. The critical stress location in the longitudinal direction was under the axle for single- and tandem-axle loads, but for tridem-axle loads, it tended to move under the middle axle from the outer axles as the concrete elastic modulus and/or slab thickness increased and the foundation stiffness decreased.

Seismic Ductility of RC Circular Column-Bent Piers under Bidirectional Repeated Loadings (이축반복하중을 받는 2주형 철근콘크리트 교각의 내진 연성도)

  • Park Chang Kyu;LEE Bum Gi;Song Hee Won;Chung Young Soo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.05a
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    • pp.692-695
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    • 2004
  • Seismic performance of reinforced concrete(RC) column bent piers to bidirectional seismic loadings was investigated experimentally. RC column bent piers represent one of the most popular forms of piers used in highway bridges. Further to series of previous experimental researches for the performance of single bridge columns subjected to seismic loadings, four column bent piers were constructed in 400 mm diameter and 2,000 mm height. Each pier has two circular supporting columns. These piers were tested under lateral load reversals with axial load of $0.1f_{ck}A_g$. Bidirectional lateral loadings were applied. The test parameters included: different transverse reinforcement contents and lap-spliced longitudinal reinforcing steels. Test results indicate that lap-splices of longitudinal reinforcing steels have significantly influence on hysteretic response of column bent piers. Column capacity changed with the level of transverse confinement, and bidirectional repeated loadings induced more strength and stiffness degradation than unidirectional repeated loading.

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