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Suspension Bridge Cable Stayed Bridge. Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed.

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Presentation on theme: "Suspension Bridge Cable Stayed Bridge. Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed."— Presentation transcript:

1 Suspension Bridge Cable Stayed Bridge

2 Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed Bridge Suspension Bridge Suspension Bridge Wizard Suspension Bridge Wizard generates a 3-dimensional suspension bridge including self-anchored. Initial geometry is found, and unstrained lengths and initial cable forces are calculated. Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis

3 Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed Bridge Suspension Bridge Suspension Bridge Wizard A A.Geometry B.Section & Material C.Deck System D.Preview B C D Input node coordinates & hanger distances Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis

4 Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed Bridge Suspension Bridge Suspension Bridge Wizard A A.Geometry B.Section & Material C.Deck System D.Preview B C D Define sections and materials of each part of the bridge. Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis

5 Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed Bridge Suspension Bridge Suspension Bridge Wizard Deck Cross Section defined by SPC (Sectional Property Calculator) Sectional Property Calculator(SPC) Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis

6 Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed Bridge Suspension Bridge Suspension Bridge Wizard A A.Geometry B.Section & Material C.Deck System D.Preview B C D Input width, height and weight of deck. Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis

7 Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed Bridge Suspension Bridge Suspension Bridge Wizard A A.Geometry B.Section & Material C.Deck System D.Preview B C D Model preview is updated in real time as the geometry data is input. Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis

8 Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed Bridge Suspension Bridge Suspension Bridge Wizard Equilibrium in X-Z PlaneEquilibrium in Y-Z Plane Find cable coordinates and forces using the equilibrium condition and nonlinear analysis of cable Generate the model with simplified deck and pylons. Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis

9 Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed Bridge Suspension Bridge Suspension Bridge Analysis Control The model from the Wizard has been simplified based on the assumptions in the wizard. Therefore, the model has to be modified according to the actual design. After updating, the 2 nd analysis has to be performed to reflect the change of the system. The simplified model from the wizard The actual design model Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis

10 Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed Bridge Suspension Bridge Suspension Bridge Analysis Control Select the node group, which is to be updated, and the sag points. Suspension Bridge Analysis Control Dialog Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis

11 Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed Bridge Suspension Bridge Suspension Bridge Analysis Control Select the node group which is to be updated and in the sag point. Select the load case for which the cable forces will satisfy the equilibrium condition. Suspension Bridge Analysis Control Dialog Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis

12 Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed Bridge Suspension Bridge Suspension Bridge Analysis Control In case of a self-anchored suspension bridge, deformations occur at the tops of the pylons and the ends of the deck due to the axial forces in the deck. The longitudinal deformation means the change in the boundary condition, and this change is reflected by introducing the initial element forces. Suspension Bridge Analysis Control Dialog Structural Data and Convergence Criteria Perform Geometric Nonlinear Analysis Calculate inequilibrium forces Calculate node coordinates and element forces Check Convergence with displacement difference Update node coordinates Re-calculation of the unstrained lengths Calculate the element equilibrium forces Determine the node coordinates Determine the unstrained lengths Determine the element equilibrium forces Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis

13 Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed Bridge Suspension Bridge Analysis Examples Example of Suspension Bridges Youngjong Bridge 3-Dimensional Self-Anchored Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis

14 Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed Bridge Suspension Bridge Analysis Examples Kwangan Bridge Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Example of Suspension Bridges

15 Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed Bridge Suspension Bridge Analysis Examples Example of Suspension Bridges No Hangers in the Side Spans Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis

16 Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed Bridge Suspension Bridge Analysis Examples Example of Suspension Bridges Inclined Hangers Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis

17 Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis Cable Stayed Bridge Suspension Bridge Backward Geometric Nonlinear Analysis Perform backward nonlinear analysis considering the element forces at the initial state as the element equilibrium forces. Suspension Bridge Wizard Suspension Bridge Analysis Control Analysis Example Construction Analysis

18 Suspension Bridge Cable Stayed Bridge

19 Suspension Bridge Initial Equilibrium State Analysis Cable Pretensions in Construction Stages Forward Analysis using Initial State Pretensions The Calculation of the Closing Forces Analysis Example Cable Stayed Bridge Initial Equilibrium State Analysis Unknown Load Factor Obtain optimized cable pretensions satisfying the constraints. In case the numbers of constraints and unknowns are the same, pretensions can be found by simultaneous equations, which are quick and simple. Find the initial cable pretensions using Unknown Load Factor Initial Equilibrium State Analysis Cable Pretensions in Construction Stages Forward Analysis using Initial State Pretensions The Calculation of the Closing Forces Analysis Example

20 Suspension Bridge Initial Equilibrium State Analysis Cable Pretensions in Construction Stages Forward Analysis using Initial State Pretensions The Calculation of the Closing Forces Analysis Example Cable Stayed Bridge Cable Pretensions in Construction Stages Cable pretensions in construction stages can be also obtained by Unknown Load Factor. Iterative analysis method enables us to find cable forces of the bridges in which time dependent effects are considered. Iteration Load Factors Found Set up constraints and unknowns Iteration Control Initial Equilibrium State Analysis Cable Pretensions in Construction Stages Forward Analysis using Initial State Pretensions The Calculation of the Closing Forces Analysis Example

21 Suspension Bridge Initial Equilibrium State Analysis Cable Pretensions in Construction Stages Forward Analysis using Initial State Pretensions The Calculation of the Closing Forces Analysis Example Cable Stayed Bridge Using pretensions from the initial state analysis, cable pretensions in the construction stages (CS) can be found without the backward analysis. Forward Analysis using Initial State Pretensions Pretensions in the Initial State Initial Equilibrium State Analysis Cable Pretensions in Construction Stages Forward Analysis using Initial State Pretensions The Calculation of the Closing Forces Analysis Example

22 Suspension Bridge Initial Equilibrium State Analysis Cable Pretensions in Construction Stages Forward Analysis using Initial State Pretensions The Calculation of the Closing Forces Analysis Example Cable Stayed Bridge The additional pretensions are required in CS because of the difference in cable lengths between the initial state and the construction stages. Such additional force is called the Lack of Fit Force. Forward Analysis using Initial State Pretensions Cable Length in initial State Cable Length in Construction Stages Construction Analysis Control Cable Pretension in CS State Cable Pretension in Initial State Lack of Fit Force Initial Equilibrium State Analysis Cable Pretensions in Construction Stages Forward Analysis using Initial State Pretensions The Calculation of the Closing Forces Analysis Example

23 Suspension Bridge Initial Equilibrium State Analysis Cable Pretensions in Construction Stages Forward Analysis using Initial State Pretensions The Calculation of the Closing Forces Analysis Example Cable Stayed Bridge The closing force calculation is required in order to keep the key-segment become continuous with decks at the joints. The closing force is calculated by applying the lack of fit force to the beam element (key segment). The Calculation of the Closing Forces Without closing force The specified displacement is calculated so that the key segment can be continuous with the neighboring elements. The displacement is transformed into element forces and applied to the key segment With closing force Initial Equilibrium State Analysis Cable Pretensions in Construction Stages Forward Analysis using Initial State Pretensions The Calculation of the Closing Forces Analysis Example

24 Suspension Bridge Initial Equilibrium State Analysis Cable Pretensions in Construction Stages Forward Analysis using Initial State Pretensions The Calculation of the Closing Forces Analysis Example Cable Stayed Bridge Using the Lack of Fit Force, the final result of the forward analysis can be obtained as the same as the result of the initial state. Forward Analysis Using the Lack of Fit Force Initial State Constructio n Stage The pretension forces from the initial state are applied to the construction stage model as well. Initial Equilibrium State Analysis Cable Pretensions in Construction Stages Forward Analysis using Initial State Pretensions The Calculation of the Closing Forces Analysis Example

25 Suspension Bridge Initial Equilibrium State Analysis Cable Pretensions in Construction Stages Forward Analysis using Initial State Pretensions The Calculation of the Closing Forces Analysis Example Cable Stayed Bridge Analysis Example Example of a Cable Stayed Bridge Initial Equilibrium State Analysis Cable Pretensions in Construction Stages Forward Analysis using Initial State Pretensions The Calculation of the Closing Forces Analysis Example Stonecutters Bridge


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