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Advanced Analysis of Curved Girder Bridges Explained

Written by Seungwoo Lee, Ph.D., P.E., S.E. | Nov 3, 2023 7:11:46 AM

Overview

 

Curved girder analysis is not easy like straight girders, and only limited software can handle this problem. Dr. Watanabe developed a full influence line theory for three-span continuous curved girders. The detailed theory is quite interesting, but only the methodology of how to use his methods is discussed in the article. His methods give an exact solution for a symmetric three-span curved girder, and the warping effects are not included. As always, start with an example. The input and output are self-explanatory and detailed discussion is not provided.


 

Figure 1 Three-span continuous curved girder

 

Input

Dr. Watanabe's method requires only five inputs.

 

Side span angle = 25°

Center span angle = 40°

 

Side span stiffness ratio

 

Center span stiffness ratio                 

 

Moment of inertia ratio                                     

 

Influence line due to point load


Figure 2 Moment at 3/8 location, span 2

 


Figure 3 Torsion at 0/8 location, span 2

 


Figure 4 Shear, span 2

 


Figure 5 Deflection at 4/8 location, span 1

 


Figure 6 Twist angle at 4/8 location, span 2

 

Influence line due to torsional moment


Figure 7 Moment at 3/8 location, span 2

 


Figure 8 Torsion at 3/8 location, span 2

 


Figure 9 Shear, span 2

 


Figure 10 Torsion at 8/8 location, span 1

 


Figure 11 Torsion at 0/8 location, span 2

 


Figure 12 Torsion at support B

 


Figure 13 Deflection at 2/8 location, span 1

 


Figure 14 Twist angle at 2/8 location, span 2

 

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