• Title/Summary/Keyword: bending factor

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A study on strength of internal gear (내접치차의 강도에 관한 연구)

  • 정태형
    • Journal of the korean Society of Automotive Engineers
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    • v.6 no.3
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    • pp.45-54
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    • 1984
  • Bending strength of an internal gear tooth is discussed as tooth form factor taking into account the actual stress magnitude. Stress analysis was carried out by the finite element method(FEM) for the calculation of tooth form factor of an internal gear. This paper also investigated the influences of number of teeth and addendum modification coefficient of the internal gear and the influences of number of teeth, addendum modification coefficient, pressure angle, radius of rounding of tooth tip, and bottom clearance coefficient of the pinion-shaped cutter on tooth form factor of internal gear. Generalizing the resultant data, a simple formula for the tooth form factor of an internal gear was derived for the calculation of tooth bending strength of an internal gear.

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Characterization of Radial Stress in Curved Beams

  • Oh, Sei Chang
    • Journal of the Korean Wood Science and Technology
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    • v.37 no.2
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    • pp.128-136
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    • 2009
  • Curved glued laminated timber (glulam) is rapidly coming into the domestic modern timber frame buildings and predominant in building construction. The radial stress is frequently occurred in curved beams and is a critical design parameter in curved glulam. Three models, Wilson equation, Exact solution and Approximation equation were introduced to determine the radial stress of curved glulam under pure bending condition. It is obvious that radial stress distribution between small radius and large radius was different due to slight change of neutral plane location to center line. If the beam design with extremely small radius, it should be considered to determine the exact location of maximum radial stress. The current standard KSF 3021 was reviewed and would be considered some adjustment determining the optimum radius in curved glulam. Current design principle is that the stress factor is given by the curvature term only in constant depth of the beam, but like tapered or small radius of beams, the stress factor by Wilson equation was underestimated. So current design formula should be considered to improvement for characterizing the radial stress factor under pure bending condition.

Calculation of stress intensity factor considering out-of-plane bending for a patched crack with finite thickness (유한두께를 가지는 보강된 균열평판에 대한 면외굽힘을 고려한 응력강도계수 계산)

  • Kim, Jong-Ho;Lee, Soon-Bok
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.165-169
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    • 2000
  • A simple method was suggested to calculate the stress intensity factor for a one-sided patched crack with finite thickness. To consider out-of-plane bending effect resulting from the load-path eccentricity, the spring constant as a function of the through-thickness coordinate z was calculated from the stress distribution in the un-cracked plate, ${\sigma}_{yy}(y=0,\;z)$, and the displacement for the representative single strip Joint, $u_y(y=0,\;z)$. The stress Intensity factors were obtained using Rose's asymptotic solution approach and compared with the finite element results. In short crack region, two results had a little difference. However, two results were almost same in long crack region. On the other hand, the stress intensity factor using plane stress assumption was more similar to finite element result than plane strain condition.

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An extremum method for bending-wrinkling predictions of inflated conical cantilever beam

  • Wang, Changguo;Du, Zhenyong;Tan, Huifeng
    • Structural Engineering and Mechanics
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    • v.46 no.1
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    • pp.39-51
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    • 2013
  • An extremum method is presented to predict the wrinkling characteristics of the inflated cone in bending. The wrinkling factor is firstly defined so as to obtain the wrinkling condition. The initial wrinkling location is then determined by searching the maximum of the wrinkling factor. The critical wrinkling load is finally obtained by determining the ratio of the wrinkling moment versus the initial wrinkling location. The extremum method is proposed based on the assumption of membrane material of beam wall, and it is extended to consider beam wall with thin-shell material in the end. The nondimensional analyses show that the initial wrinkling location is closely related to the taper ratio. When the taper ratio is higher than the critical value, the initial wrinkles will be initiated at a different location. The nondimensional critical wrinkling load nonlinearly increases as the taper ratio increases firstly, and then linearly increases after the critical taper ratio. The critical taper ratio reflects the highest load-carrying efficiency of the inflated cone in bending, and it can be regarded as a measure to optimize the geometry of the inflated cone. The comparative analysis shows fairly good agreement between analytical and numerical results. Over the whole range of the comparison, the mean differences are lower than 3%. This gives confidence to use extremum method for bending-wrinkling analysis of inflated conical cantilever beam.

Prediction of Bending Fatigue Life of Cracked Out-of-Plane Gusset Joint Repaired by CFRP Plates

  • Matsumoto, Risa;Komoto, Takafumi;Ishikawa, Toshiyuki;Hattori, Atsushi;Kawano, Hirotaka
    • International journal of steel structures
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    • v.18 no.4
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    • pp.1284-1296
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    • 2018
  • Carbon fiber reinforced polymer (CFRP), plates bonding repair method is one of the simple repair methods for cracked steel structures. In this study, the influence of width of CFRP plates on bending fatigue life of out-of-plane gusset joint strengthened with CFRP plates was investigated from the experimental and numerical point of view. In the bending fatigue test of cracked out-of-plane gusset joint strengthened with CFRP plates, the effect of width of CFRP plates on crack growth life was clarified experimentally. Namely, it was revealed that the crack growth life becomes larger with increasing the width of CFRP plates. In the numerical approach, the stress intensity factor (SIF) at the surface point of a semi-elliptical surface crack was estimated based on the linear fracture mechanics. Furthermore, the extended fatigue life of cracked out-of-plane gusset joint strengthened with CFRP plates was evaluated by using the estimated SIF at the surface point and the empirical formula of the aspect ratio of semi-elliptical crack. As the results of numerical analysis, the estimated fatigue life of the specimen strengthened with CFRP plates showed the good agreement with the test results.

Determination of the Initial Tendon Force in Two-span Continuous Steel-Concrete Composite Beam Strengthened with External Tendons (외부 긴장재로 보강된 2경간 연속 강합성보의 초기 긴장력 결정)

  • Choi, Dong Ho;Yoo, Dong Min;Jung, Jae Dong;Kim, Eun Ji
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.10 no.4
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    • pp.145-154
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    • 2006
  • This paper presents a method to enhance the load carrying capacity for a two-span continuous steel-concrete composite beam strengthened with external tendons. The tendon is placed at the bottom of steel beam where the positive bending moment occurs. This results in the reduction of the negative bending moment as well as the positive bending moment. This paper describes the procedure to determine the number of tendon and the initial tendon force for the target rating factor in the rating factor equation. An example beam is given to demonstrate the proposed procedure, and it validity is confirmed.

Crack Opening Area Assessment of Circumferential Though Wall Crack in a Pipe Subjected to Tension and Bending (인장과 굽힘을 받는 배관의 원주방향 관통균열 개구면적 평가)

  • Kim, Sang-Cheol;Kim, Maan-Won
    • Journal of the Korean Society of Safety
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    • v.23 no.5
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    • pp.61-66
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    • 2008
  • It is important to calculate the exact crack opening area in the cracked pipe subjected to axial force and bending moment. Among many solutions for obtaining the crack opening displacement, Paris-Tada's expression, which is derived from energy method, is open used in fracture analysis for piping crack problems because of its simplicity. But Paris-Tada's equation has conservativeness when radius over thickness ratio(R/t) is ten or less, for it is based on the stress intensity factor solution having a compliance function derived from a simple shell theory. In this paper we derived a new expression using a different stress intensity factor solution which is able to consider the variation of compliance through wall thickness in a cracked pipe. Conservativeness of both equations was examined and compared to finite element analysis results. Conservativeness of the new equation is decreased when R/t > 10 and increased slightly when R/t < 10 compared with Paris-Tada's. But Both equations were highly conservative when R/t < 10 compared with finite element analysis results.

Prediction of Gear Bending Fatigue Life of Electro-mechanical Actuator for Aircraft Through Finite Element Analysis

  • Kim, Taehyung;Seok, Taehyeon;Kwon, Soon-hyeong;Lee, Byung-ho;Kwon, Byung-gi;Kwon, Jun-yong;Cheong, Seong-kyun
    • Journal of Aerospace System Engineering
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    • v.14 no.6
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    • pp.58-67
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    • 2020
  • In this study, finite element fatigue analysis combined with a fatigue correlation factor is proposed to predict the bending fatigue life of a gear in an electro-mechanical aircraft actuator. First, stress-life curves are obtained for the gear material via a round bar fatigue test. Subsequently, stochastic stress-life (P-S-N) curves are derived for 50% and 1% failure probabilities, separately. The curves are applied to the fatigue analysis model of a single gear tooth, and the effect of the fatigue correction factor is analyzed. The analytical P-S-N curves reflecting the fatigue correction factor matched the experimental data. This shows that the analytical fatigue life is reliable and that the analysis technique is effective.

Tube Bending Analysis for Hydroforming Process (Tube Hydroforming을 이한 굽힘 공정해석)

  • 양재봉;전병희;오수익
    • Transactions of Materials Processing
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    • v.9 no.3
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    • pp.249-256
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    • 2000
  • Tube hydroforming is recently drawing attention of automotive industries due to its seberal advantages over conventional methods. It can produce wide range of products such as subframes, engine cradles, and exhaust manifolds with cheaper production cost by reducing overall number of processes. Tube hydroforming process is divided into prebending process and hydroforming process. Tube bending ins an important factor of the hydroforming process to enable the tube to be placed in the die cavity. This paper presents the theoretical analysis and the simulation results of the tube bending process. With some assumptions, approximate equations are derived to predict the thickness distribution on the cross section and the spring back of the bent tube. Bending simulations are carried out and compared to the analytical and experimental results.

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The Effects of Sheet Strength and Thickness on Bending Behavior of Steel Pipes (소재강도와 두께가 파이프 굽힘변형의 꺽임발생 거동에 미치는 영향)

  • 박기철;이형진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.9
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    • pp.2071-2081
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    • 1995
  • In order to examine the effects of yield stress, tensile strength and thickness on the buckling behavior during bending of pipes, the nonlinear finite element analysis of the 3-point bending tests was carried out using the commercial software (ABAQUS) under the condition of L4(2$^{3}$) performed according to the designed condition. Form the analysis of simulation results, it was found that yield stress and thickness were the major factors on buckling load at pipe bending and tensile strength gave little influence because the plastic strain and plastic zone are small. For the punch displacement to the occurrence of buckling, thickness is a major factor and yield stress and tensile strength are the minor factors.