• Title/Summary/Keyword: Bolt equation

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Analysis of Self Loosening of Aiming Bolts in Vehicle Head Lamp (자동차 헤드램프 내의 에이밍 볼트의 풀림 해석 및 실험)

  • Moon, Ji-Seung;Baek, Hong;Park, Sang-Shin;Park, Jong-Myeong
    • Tribology and Lubricants
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    • v.35 no.1
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    • pp.65-70
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    • 2019
  • Self-loosening of bolts owing to external forces occurs in several machines that are clamped by bolts and nuts. This study focuses on the self-loosening of the aiming bolt of the head lamp in a vehicle. It is important to prevent the aiming bolt from self-loosening as it has a decisive effect on the angle of the head lamp. A nut clamped with a bolt, known as a retainer, is made of plastic and has a partial screw thread. In addition, a transverse load has a considerable impact on the self-loosening of a bolt. We concentrate on the self-loosening of a bolt by a transverse load. The aim of this study is to define the limits of the external force that loosen the bolt. Based on the above conditions, we derive a theoretical equation and develop a numerical analysis program that can calculate the limiting forces for self-loosening. To verify the developed program, we design a test device that can measure the self-loosening by applying sliding forces to the aiming bolt. Using this method, we can draw the following conclusions. First, the developed testing device is suitable to prove the theory for calculating the self-loosening force. Second, the equation confirms the relationship of bolt self-loosening between resistance torque and shear force. Finally, the equation obtains the minimum value of the resistance torque required to decrease the change in the angle of the head lamp, thereby improving the possibility of increasing the stability of the head lamp.

Static and fatigue behavior of through-bolt shear connectors with prefabricated HFRC slabs

  • He, Yuliang;Zhuang, Jie;Hu, Lipu;Li, Fuyou;Yang, Ying;Xiang, Yi-qiang
    • Structural Engineering and Mechanics
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    • v.83 no.1
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    • pp.109-121
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    • 2022
  • Twelve push-out test specimens were conducted with various parameters to study the static and fatigue performance of a new through-bolt shear connector transferring the shear forces of interface between prefabricated hybrid fiber reinforced concrete (HFRC) slabs and steel girders. It was found that the fibers could improve the fatigue life, capacity and initial stiffness of through-bolt shear connector. While the bolt-hole clearance reduced, the initial stiffness, capacity and slippage of through-bolt shear connector increased. After the steel-concrete interface properties were improved, the initial stiffness increased, and the capacity and slippage reduced. Base on the test results, the equation of the load-slip curve and capacity of through-bolt shear connector with prefabricated HFRC slab were obtained by the regression of test results, and the allowable range of shear force under fatigue load was recommended, which could provide the reference in the design of through-bolt shear connector with prefabricated HFRC slabs.

Effect of surface bolt on the collapse mechanism of a shallow rectangular cavity

  • Huang, Fu;Zhao, Lian-heng;Zhang, Sheng
    • Geomechanics and Engineering
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    • v.13 no.3
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    • pp.505-515
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    • 2017
  • Based on the collapse characteristics of a shallow rectangular cavity, a three-dimensional failure mechanism which can be used to study the collapsing region of the rock mass above a shallow cavity roof is constructed. Considering the effects of surcharge pressure and surface bolt on the collapsing block, the external rate of works produced by surcharge pressure and surface bolt are included in the energy dissipation calculation. Using variational approach, an analytic expression of surface equation for the collapsing block, which can be used to study the collapsing region of the rock mass above a shallow cavity roof, is derived in the framework of upper bound theorem. Based on the analytic expression of surface equation, the shape of the collapsing block for shallow cavity is drawn. Moreover, the changing law of the collapsing region for different parameters indicates that the collapsing region of rock mass decreases with the increase of the density of surface bolt. This conclusion can provide reference for practicing geotechnical engineers to achieve an optimal design of supporting structure for a shallow cavity.

Strength Design of Bolt Joints for an Open Frame Structure (개방형 프레임 구조물의 볼트 조인트 강도설계)

  • Lee, Jin-Min;Lee, Min-Uk;Cho, Su-Kil;Koo, Man-Hoi;Gimm, Hak-In;Lee, Tae-Hee
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.523-528
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    • 2008
  • An open frame structure is fastened by bolt joints for strength and shock attenuation. Therefore the full finite element model of an open frame structure should be properly modeled including bolt joints for strength analysis of the frames and joint assemblies which are operated under multi-loading conditions such as driving, drop, inertia and torsional loads. Then the joints and frames must satisfy the specified allowable strength constraints. Because the full finite element model has a large number of elements to perform strength analysis, a detailed fine bolt analysis seems to be very expensive. Therefore bolts of the full finite element model are approximately modeled by constraints equations to constrain degree of freedoms between adjacent nodes. However, the constraints equation method can exaggerate stress results at the constrained nodes. Thus a detailed bolt analysis and a theoretical/experiential formula of bolts for a worst bolt joint are performed using reaction force applied both bolt and bolt joint. Finally, the results from the two methods are compared and discussed to verify the safety of the open frame structure.

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전면접착형 록볼트의 지보거동: 이론적 수식화와 경계요소해석에 대한 적용

  • 김호영;이희근
    • Tunnel and Underground Space
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    • v.1 no.2
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    • pp.168-180
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    • 1991
  • Through field measurements, it was shown that the shear stresses along a fully grouted rock blot were proportional to the differences between the displacement of a bolt rod and that of surrounding rock. Accordingly the theoretical equation for the displacement along a rock bolt, R(x), can be proposed as differential form; $ \frac{d^2R(x)}{dx^2}-aR(x)=-a^2U(x)$ where U(x) is the displacement of surrounding rock and α is a constant. In this study above equation was applied to the boundary element analysis which can simulate the supporting behavior of each rock bolt around a tunnel and the results of the implementation of boundary element technique were shown.

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Structural Performance Evaluation of Bolt Connection for Half-sphere Joint between PHC Pile and Steel Column (강재기둥-PHC 파일 간 반구형 접합부(HAT Joint)의 볼트 연결에 대한 구조성능평가)

  • Oh, Jintak;Kim, Sang-Bong;Kim, Young-Sik;Ju, Young K.
    • Journal of Korean Association for Spatial Structures
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    • v.15 no.4
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    • pp.65-72
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    • 2015
  • To overcome the weakness of spread foundation in large space structure, the research of precast pile for replace spread foundation have been conducted. The new type of joint between PHC pile and steel column is named HAT Joint(Hollow hAlf-sphere cast-sTeel Joint). It connected PHC Pile by bolt that verification of bolt connection should be accomplished. In this paper, pull-out test and flexural performance for HAT Joint to verifying the bolt connection is explained. As a result, the pull-out and flexural capacities of bolt were checked to use in real structure. Furthermore, the equation of pull-out strength was proposed.

Estimate of Bolt Connection Strength of Reinforced Glulam using Glass Fiber (유리섬유 보강집성재 볼트 접합부 전단내력 예측)

  • Kim, Keon-ho;Hong, Soon-il
    • Journal of the Korean Wood Science and Technology
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    • v.44 no.1
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    • pp.67-74
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    • 2016
  • The yield shear strength of bolt connection in glass fiber reinforced glulam was predicted using a design-based equation, and was compared to the empirical yield shear strength. For the predicted equation, the mechanical properties of member (the elastic modulus, Poisson's ratio, shear modulus) was tested. The fracture toughness factor ($K_{ft}$) of glass fiber reinforced glulam was reflected to the revision of the design equation of bolted connection. The compressive strength properties to grain direction was influenced by annual ring angle and width of lamina. Compared with the revised yield shear strength of reinforced glulam, it was tended to be similar to the empirical yield shear strength on the diameter of bolt and the reinforcements. The revised yield shear strength from proposed formula of KBC was most appropriately matched in the bolt connection of the glass fiber reinforced glulam.

Performance test of Chemical Anchor Bolts for Concrete Repair (콘크리트보수용 접착제를 이용한 Anchor Bolt의 인발지지력 산정에 관한 실험적 연구)

  • Kim, Yon-Gon
    • Journal of the Korean Society of Safety
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    • v.17 no.2
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    • pp.85-91
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    • 2002
  • A research on the performance of retrofit anchors was conducted using adhesives for rehabilitation. From the pull-out tests of the chemical anchors, the effect of the hole diameter, spacer, temperature, moisture, embedment depth, and aging time were investigated. The spacer did not directly increased the pull-out load hilt increased post-yielding resistance therefore the ductility of the retrofit anchors. When the hole was cleaned and dried after the immersion, the pull-out load was greatly increased compared to the wet hole. A design equation was unposed depending on the embedment depth of the anchor bolt.

A re-examination of the current design rule for staggered bolted connections

  • Xue-Mei Lin;Michael C.H. Yam;Ke Ke;Binhui,Jiang;Qun He
    • Steel and Composite Structures
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    • v.46 no.3
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    • pp.403-416
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    • 2023
  • This paper summarised and re-examined the theoretical basis of the commonly used design rule developed by Cochrane in the 1920s to consider staggered bolt holes in tension members, i.e., the s2/4g rule. The rule was derived assuming that the term two times the bolt hole diameter (2d0) in Cochrane's original equation could be neglected, and assuming a value of 0.5 for the fractional deduction of a staggered hole in assessing the net section area. Although the s2/4g rule generally provides good predictions of the staggered net section area, the above-mentioned assumptions used in developing the rule are doubtful, in particular for a connection with a small gauge-to-bolt-hole diameter (g/d0) ratio. It was found that the omission of 2d0 in Cochrane's original equation appreciably overestimates the net section area of a staggered bolted connection with a small g/d0 ratio. However, the assumed value of 0.5 for the fractional deduction of a staggered hole underestimates the staggered net section area for small g/d0 ratios. To improve the applicability of the above two assumptions, a modified design equation, which covers a full range of g/d0 ratio, was proposed to accurately predict the staggered net section area and was validated by the existing test data from the literature and numerical data derived from this study. Finally, a reliability analysis of the test and numerical data was conducted, and the results showed that the reliability of the modified design equation for evaluating the net section resistance of staggered bolted connections can be achieved with the partial factor of 1.25.

Analysis of the Behavior of Bolt Jointed Wood Connections by Applying Semi-Rigid Theory

  • Kim, Gwang-Chul;Lee, Jun-Jae
    • Journal of the Korean Wood Science and Technology
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    • v.28 no.4
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    • pp.72-82
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    • 2000
  • Attempts were made to analyze the behavior of single and multiple-bolted connections through theoretical methods such as European yield theory, empirical approaching method, and semi-rigid theory instead of many experimental methods that have been actually inefficient and non-economical. In the case of a single-bolted connection, if accurate characteristic values of a material could be guaranteed, it would be more convenient and economical to perform the behavior analysis using a model based on the semi-rigid theory, instead of the existing complex yield model, or the empirical formula which produces errors, giving different results from the actual ones. If the variables of equation determining the load and deformation could be appropriately controlled, the analytical method in conjunction with a semi-rigid theory could be effectively applied to obtain the desirably predicted value, considering that the appropriate solution could be derived through a simpler equation using a less difficult method compared to the existing yield model. It is concluded that analytical method with semi-rigid theory can be used in the behavior analysis of bolted connection because our developed method showed excellent analysis ability of behavior until number of bolt is two. Although our analytical method has the disadvantage that the number of bolt is limited to two, it is concluded that it has the advantage than numerical method which complicated and time-consuming.

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