Two-Dimensional Analysis of Cable Stayed Bridge under Wave Loading

  • Madhuri Seeram
  • Y. Manohar
Original Contribution


In the present study finite element analysis is performed for a modified fan type cable-stayed bridge using ANSYS Mechanical. A cable stayed bridge with two towers and main deck is considered for the present study. Dynamic analysis is performed to evaluate natural frequencies. The obtained natural frequencies and mode shapes of cable stayed bridge are compared to the existing results. Further studies have been conducted for offshore area application by increasing the pylon/tower height depending upon the water depth. Natural frequencies and mode shapes are evaluated for the cable stayed bridge for offshore area application. The results indicate that the natural periods are higher than the existing results due to the effect of increase in mass of the structure and decrease in stiffness of the pylon/tower. The cable stayed bridge is analyzed under various environmental loads such as dead, live, vehicle, seismic and wave loading. Morison equation is considered to evaluate the wave force. The sum of inertia and drag force is taken as the wave force distribution along the fluid interacting height of the pylon. Airy’s wave theory is used to assess water particle kinematics, for the wave periods ranging from 5 to 20 s and unit wave height. The maximum wave force among the different regular waves is considered in the wave load case. The support reactions, moments and deflections for offshore area application are highlighted. It is observed that the maximum support reactions and support moments are obtained due to wave and earthquake loading respectively. Hence, it is concluded that the wave and earthquake forces shall be given significance in the design of cable stayed bridge.


Finite element method Modal analysis Wave force Earthquake force Airy’s wave theory Morison equation 

List of symbols


Design horizontal seismic coefficient


Drag co-efficient


Inertia co-efficient


Water depth


Diameter of fluid interacting pylon


Wave force per unit length


Wave height


Importance factor


Wave number


Stiffness matrix of the structure


Wave length


Mass matrix


Added matrix mass


Mass density of sea water


Response reduction factor


Average response acceleration coefficient


Wave period


Time step


Horizontal water particle velocity


Horizontal water particle acceleration


Seismic base shear


Seismic weight of the structure (Dead Load + 50% of Live Load)


Wave frequency


Distance of the pylon from origin

\(\left\{ {\ddot{X}} \right\},\left\{ X \right\}\)

Acceleration and displacement of the structure


Depth of the pylon from origin


Seismic zone factor


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Copyright information

© The Institution of Engineers (India) 2018

Authors and Affiliations

  1. 1.Department of Civil EngineeringJNTUKKakinadaIndia
  2. 2.CJIT CollegeJanagaonIndia

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