Evaluation and Formulation of Raleigh- Ritz Based Peculiar Total Potential Energy Functional (TPEF) For Mono Symmetric Single (MSS) Cell Thin- Walled Box Column (TWBC) Cross- Section in Preparation for The Stability Analysis of TWBC

References

[1] Andreassen, M.J (2012): Distortional Mechanics of Thin- Wall Structural Elements, A Ph.D Thesis, Department of Civil Engineering, Technical University of Denmark.

[2] Chen, W.F. and Lui, E.M.(1987):Structural Stability(Theory and Implementation), Elsevier Science Publishing Co. Ltd, USA.

[3] Chidolue, C.A. and Aginam, C.H.(2012):”Effects Of Shape Factor On The Flexural- Torsional Distortional Behavior Of Thin- Walled Box- Girder Structures”; International Journal Of Engineering And Advanced Technology(IJEAT), Vol.1,No. 5, Pp 469 -479.

[4] Chidolue, C.A. and Osadebe, N.N.(2012):” Flexural- Torsional Behavior Of Thin- Walled Monosymmetric Box- Girder Structures”; International Journal Of Engineering Sciences And Emerging Technologies, Vol.2,No. 2, Pp11 -19.

[5] Ezeh, J.C. (2009): “Stability of Axially Compressed Multi-Cell Thin-Walled Closed Column”, Phd Thesis, University of Nigerian Nsukka.

[6] Ezeh, J.C .(2010):“Buckling Behavior of Axially Compressed Multi-Cell Doubly Symmetric Thin-Walled Column using Vlasov’s Theory”, International Journal of Engineering, Vol.4, No.2, Pp 179-194.

[7] Ezeh, J.C. and Osadebe , N.N. (2010): Comparative Study of Vlasov and Euler Instabilities Of Axially Compressed Thin-Walled Box Columns, Nigerian Journal of Technology, Vol.29, No.1 Pp 66-77.

[8] Krolak, M: Kowal-Michalska, K; Mania, R.J and Swinlarski, J, (2009): “Stability and Loadcarrying Capacity of Multi-Cell Thin-Walled Columns of Rectangular Cross-Sections”; Journal of Theoretical and Applied Mechanics Vol. 47, No.2 Pp 456-456.

[9] Murray, N.W. (1984):Introduction to the Theory of Thin- Walled Structures; Oxford University Press, New York.

[10] Nwachukwu, K.C., Ezeh, J.C., Thomas, B., Okafor, M. and Okodugha, D.A. (2017): Formulation of The Total Potential Energy Functional For A Thin- Walled Box Column Applicable To Raleigh- Ritz Method, Researchjournal’s Journal of Civil Engineering, vol. 3, No. 2

[11] Nwachukwu, K.C., Ezeh, J.C., Ozioko, H.O., Eiroboyi, J.A and Nwachukwu, D.C. (2021a): Formulation Of The Total Potential Energy Functional Relevant To The Stability Analysis Of A Doubly Symmetric Single (DSS ) Cell Thin- Walled Box Column In Line With Raleigh- Ritz Method, American Journal of Computing and Engineering, vol. 4, No. 1, Pp 57-82.

[12] Nwachukwu, K.C., Akosubo, I.S., Ozioko, H.O., Okorie, P.O and Egbulonu, B.A.(2021b): Evaluation And Formulation Of Raleigh- Ritz Based Peculiar Total Potential Energy Functional For Doubly Symmetric Multi (DSM) Cell And Mono Symmetric Multi (MSM) Cell Thin- Walled Box Column (TWBC) Cross- Section, International Journal of Current Advanced Research(IJCAR),Vol. 10, No. 10 (C), Pp.25441-25451.

[13] Osadebe, N.N and Chidolue, C.A (2012a):“Torsional-Distortional Response of Thin-Walled Mono-Symmetric Box Girder”, International Journal Of Engineering Research and Applications, Vol.2, No.3, Pp 814-821.

[14] Osadebe, N.N and Chidolue, C.A (2012b):“Response Of Double Cell Mono-Symmetric Box Girder Structure to Torsional-Distortional Deformations”, International Journal Of Engineering And Advanced Technology, Vol.1, No.4, Pp 285-292

[15] Osadebe, N.N. and Ezeh, J.C (2009a): “Stability of Axially Compressed Single-Cell Mono-Symmetric Thin-Walled Closed Column”, Nigerian Journal of Technology, Vol.28, No2

[16] Osadebe, N.N. and Ezeh,J.C (2009b):“Flexural, Torsional and Distortional Buckling Of Single-Cell Thin-Walled Box Columns”,Nigerian Journal of Technology, Vol.28, No2, Pp 80-91.

[17] Shanmugam, N.E.; Richard Liew, J.Y, and Lee, S.L (1989): “Thin-walled Steel Box columns under Biaxial Loading”, Journal of structural Engineering Vol. 55, No.12, Pp 742-748.

[18] Simao,P and Simoes da Silva, L .(2004): “ A Numerical Scheme For Post-Buckling Analysis of Thin-Walled Members in the Context Of GBT”, Proceeding of Advanced in Computational and Experimental Engineering and Science, Tech .Science Press, Pp 2079-2086.

@article{1703453,
      author = {K. C. Nwachukwu, O.  Edike, I. S. Akosubo, A. U. Igbojiaku, F. K. Atulomah},
      title = {Evaluation and Formulation of Raleigh- Ritz Based Peculiar Total Potential Energy Functional (TPEF) For Mono Symmetric Single (MSS) Cell Thin- Walled Box Column (TWBC) Cross- Section in Preparation for The Stability Analysis of TWBC},
      journal = {Iconic Research And Engineering Journals},
      year = {2022},
      volume = {5},
      number = {11},
      pages = {184-190},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1703453.pdf},
      abstract = {This research work is aimed at evaluating, as well as formulating   the peculiar Total Potential Energy Functional (TPEF) for a Mono Symmetric Single (MSS) cell Thin -walled Box Column (TWBC). It is one of the peculiar TPEF which is a follow up of the formulation of the general/governing TPEF for TWBC by Nwachukwu and others (2017). For the cross ? section under consideration, the cross ?sectional properties are evaluated first to obtain the cross-sectional areas and moment of inertia. This is followed by the formulation of the TPEF for the cross- sections for different boundary conditions. The formulated Energy Functional Equations support the stability analysis of a MSS cell thin-walled box (closed) column cross-section using Raleigh - Ritz Method (RRM) .The Raleigh- Ritz based formulated TPEF equations are found suitable, handy and simple to be used in the Flexural(F) , Flexural- Torsional(FT)  and Flexural- Torsional- Distortional(FTD) buckling/stability analysis of MSS cell TWBC cross-section where data obtained (critical bulking loads) will be compared with the works of other authors in subsequent works.},
      keywords = {Mono Symmetric Single(MSS) Cell, Total Potential Energy Functional(TPEF), Thin -Walled Box Column(TWBC)or Thin-Walled Column(TWC), Raleigh- Ritz Method(RRM),Bulkling/ Stability Analysis},
      month = {May},
  }