Optimal Variation of Bridge Column Cross Section of Muscat Expressway, Oman

  • Himanshu GaurEmail author
  • Ram Kishore Manchiryal
  • Biswajit Acharya
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1045)


In this chapter, an attempt is made to find optimal variation of cross sections of structures when subjected to different loading conditions such as axial, bending and torsion or coupled loading such as axial with bending or axial with torsional loading, etc. Variation of important structures such as variation of a bridge column section along the length, horizontal variation of bridge deck and variation of a chimney subjected to horizontal loading, etc. can be optimized with this methodology. In this chapter, we focus on optimal variation of bridge piers of Muscat Expressway by considering axial loading only. Variation of column section is first of all expressed/assumed mathematically which represents different possible variation pattern of section along the length such as linear, quadratic and cubic variation and so on. This assumed mathematical expression of sectional area is then plugged into the differential equation of equilibrium of the column which is derived by variational principle. Based on the solution found such as deformation of the column, optimal variation of the column section can be concluded. It is found that linear variation is the best variation when only axial load is considered. Square variation is the second best shape to be adopted for design of the columns when only axial loading is acting. The study also laid guidelines to the architectural community to choose the best possible variation of a structural element when aesthetics is a concern.


Optimization Bridge piers Optimum variation of cross section 


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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Himanshu Gaur
    • 1
    • 2
    Email author
  • Ram Kishore Manchiryal
    • 2
  • Biswajit Acharya
    • 3
  1. 1.Bauhaus–Universitat WeimarWeimarGermany
  2. 2.Middle East CollegeMuscatOman
  3. 3.University College of Engineering, Rajasthan Technical UniversityKotaIndia

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