• Title, Summary, Keyword: specially orthotropic plate theory

### Analysis of Post-tensioned Bridge by Specially Orthotropic Laminate Theory (II) - Steel Plate Girder Bridge (특별직교이방성 이론에 의한 포스트 텐션된 교량의 해석(II) - 강 판형교 -)

• 김덕현;원치문;이정호
• Proceedings of the Korean Society For Composite Materials Conference
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• pp.141-146
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• 2001
• A post-tensioned steel plate girder bridge with cross-beams is analyzed by specially orthotropic laminate theory. The cross-sections of both girders and cross-beams are WF types. The result is compared with that of the beam theory. This bridge with simple support is under uniformly distributed vertical load, and axial loads and moment due to post-tension. In this paper, finite difference method for numerical analysis of simple supported bridge is developed. Relatively exact solution is obtained even with small number of meshes. Theory and analysis method of specially orthotropic laminate plates used in this paper can be used in design of new bridges, and maintenance and repair of old bridges.

### Analysis of Rolled Beam Bridge by means of Specially Orthotropic Laminates Theory (특별직교이방성 적층판이론에 의한 압연형교의 해석)

• Han, Bong-Koo;Lee, Chang-Soo
• Journal of the Korean Society for Advanced Composite Structures
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• v.1 no.3
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• pp.35-40
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• 2010
• The specially orthotropic plate theory is used for analysis of panels made of girders and cross-beams. The cross-sections of both girders and cross-beams are H-types. The results of application of this method to rolled beam bridge by using specially orthotropic plate theory is presented. The result is compared with that of the beam theory. Finite difference method is used for this purpose. The influence of the $D_{22}$ stiffness on the natural frequency is rigorously investigated. According to numerical examination given in this paper, the result by the plate theory is 2.43 times stiffer than that of beam theory.

### Analysis of Post-tensioned Slab Bridge by Means of Specially Orthotropic Theory (특별직교이방성 이론에 의한 포스트텐션 슬래브교의 해석)

• Han, Bong-Koo;Bang, Bae-San
• Journal of the Korean Society for Advanced Composite Structures
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• v.1 no.4
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• pp.13-17
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• 2010
• A post-tensioned slab bridge is analyzed by the specially orthotropic theory. Each longitudinal and transverse steel layer is regarded as a lamina, and material constants of each lamina is calculated by the use of rule of mixture. This slab bridge with simple support is under uniformly distributed vertical and axial loads. In this paper, the finite difference method and the beam theory are used for analysis. The result of beam analysis is modified to obtain the solution of the plate analysis. The result of this paper can be used for post-tensioned slab bridge analysis by the engineers with undergraduate study in near future.

### Analysis of Steel Bridge by means of Specially Orthotropic Plate Theory (특별직교이방성 판이론을 응용한 강교량의 해석)

• Han, Bong Koo;Kim, Duk Hyun
• Journal of Korean Society of Steel Construction
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• v.13 no.1
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• pp.61-69
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• 2001
• The specially orthotropic plate theory is used for analysis of panels made of girders and cross-beams. The cross-sections of both girders and cross-beams ar H-type. A method of calculating natural frequencies corresponding to the modes of vibration of beams and tower structures with irregular cross sections and arbitrary boundary conditions was developed. The results of application of this method to steel bridge by using specially orthotropic plate theory is presented. The result is compared with that of the beam theory. Finite difference method is used for this purpose. The influence of the $D_{22}$ stiffiness on the natural frequency is rigorously investigated. According to numerical examination given in this paper the result by the plate theory is 2.43 times stiffer than of beam theory.

### Simple Method of Analysis for Concrete Slab Bridges by the Specially Orthotropic Laminates Theory (특별직교이방성 적층판이론에 의한 콘크리트 슬래브교량의 간편해석법)

• Han, Bong-Koo;Suck, Jun-Ho
• Journal of the Korean Society for Advanced Composite Structures
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• v.1 no.2
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• pp.59-65
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• 2010
• The simple supported reinforced concrete slab bridges are analyzed by the specially orthotropic laminates theory. This method, however, may be too difficult for some practising engineers. In this paper, the result of analysis for such plate by means of the beam theory with unit width is reported. By using the "correction factor", the accurate solution for the plate can be obtained by the beam theory. By using the "correction factor", the accurate solution for the plate can be obtained by the beam theory. The plate aspect ratio considered is from 1 : 1 to 1 : 6. The result of this paper can be used for simply supported slab bridges analysis.

### A Study on Post-Tensioned Reinforced Concrete Slab by the Beam Theory (포스트텐션된 철근콘크리트 슬래브의 보 이론에 의한 연구)

• Han, Bong-Koo;Kim, Duck-Hyun
• Composites Research
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• v.22 no.5
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• pp.24-29
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• 2009
• In this paper, a post-tensioned reinforced concrete slab was analyzed by the specially orthotropic laminates theory. Both the geometrical and material property of the cross section of the slab was considered symmetrically with respect to the neutral surface so that the bending extension coupling stiffness, $B_{ij}=0$, and $D_{16}=D_{26}=0$. Reinforced concrete slab behave as specially orthotropic plates. In general, the analytical solution for such complex systems is very difficult to obtain. Thus, finite difference method was used for analysis of the problem. In this paper, the finite difference method and the beam theory were used for analysis. The result of beam analysis was modified to obtain the solution of the plate analysis.

### A Simple and Accurate Analysis of Two Dimensional Concrete Slab for a Railroad Bridge by the Composite Laminates Plate Theory (복합적층판 이론에 의한 2차원 콘크리트 슬래브 철도교량의 정확하고 간단한 해석)

• Han, Bong-Koo;Bang, Bae-San
• Journal of the Korean Society for Advanced Composite Structures
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• v.2 no.2
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• pp.20-25
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• 2011
• In this paper, two dimensional concrete slabs for a railroad bridge were analyzed by the specially orthotropic laminates theory. Both the geometrical and material property of the cross section of the slab was considered symmetrically with respect to the neutral surface so that the bending extension coupling stiffness, $B_{ij}$ = 0, and $D_{16}=D_{26}=0$ Bridge deck behaves as specially orthotropic plates. In general, the analytical solution for such complex systems is very difficult to obtain. Thus, finite difference method was used for analysis of the problem. In this paper, the finite difference method and the beam theory were used for analysis.

### Analysis of Post-tensioned Slab Bridge by Means of Specially Orthotropic Laminates Theory (특별직교이방성 복합적층판 이론을 응용한 포스트텐션된 슬래브 교량의 해석)

• Han, Bong Koo;Kim, Yun Pyo
• Journal of Korean Society of Steel Construction
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• v.14 no.1
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• pp.105-111
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• 2002
• A post-tensioned slab bridge is analyzed by the specially orthotropic laminates theory. Both the geometry and the material of the cross section of the slab are considered symmetrical with respect to the mid-surface so that the bending extension coupling stiffness, $B_{ij}=0$, and $D_{16}=D_{26}=0$. Each longitudinal and transverse steel layer is regarded as a lamina, and material constants of each lamina is calculated by the use of rule of mixture. This bridge with simple support is under uniformly distributed vertical and axial loads. In this paper, the finite difference method and the beam theory are used for analysis. The result of beam analysis is modified to obtain the solution of the plate analysis. The result of this paper can be used for post-tensioned slab bridge analysis by the engineers with undergraduate study in near future.

### The Influence of the Aspect Ratio on the Natural Frequency of the Specially Orthotropic Laminated Plates (특별직교이방성 적층판의 고유진동수에 대한 형상비의 영향)

• Han, Bong Koo;Kim, Duck Hyun
• Journal of the Korea institute for structural maintenance and inspection
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• v.15 no.6
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• pp.219-225
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• 2011
• Advanced composite structures are too difficult for such design engineers for construction and some simple but accurate enough methods are necessary. The simply supported laminated plates are analyzed by the specially orthotropic laminates theory. This method, however, may be too difficult for some practising engineers. In this paper, the result of analysis for such plate by means of the beam theory with unit width is reported. The plate aspect ratio considered is from 1 : 1 to 1 : 5. 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 influence of the aspect ratio on the natural frequency of the specially orthotropic laminated plates is studied and it is concluded that the method used is sufficiently accurate for engineering purposes. The result of this paper can be used for simply supported laminated plates analysis.

### Analysis of Prestressed Concrete Slab Bridge by the Beam Theory (보 이론에 의한 PSC 슬래브 교량의 해석)

• Han, Bong-Koo;Kim, Duk-Hyun
• Journal of the Korea institute for structural maintenance and inspection
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• v.7 no.2
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• pp.115-124
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• 2003
• A prestressed concrete slab bridge is analyzed by the specially orthotropic laminates theory. Both the geometry and the material of the cross section of the slab are considered symmetrical with respect to the mid-surface so that the bending extension coupling stiffness, $B_{ij}=0$, and $D_{16}=D_{26}=0$. Each longitudinal and transverse steel layer is regarded as a lamina, and material constants of each lamina is calculated by the use of rule of mixture. This bridge with simple support is under uniformly distributed vertical and axial loads. In this paper, the finite difference method and the beam theory are used for analysis. The result of beam analysis is modified to obtain the solution of the plate analysis.