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
  • Author(s): K. C. Nwachukwu ; O. Edike ; I. S. Akosubo ; A. U. Igbojiaku ; F. K. Atulomah
  • Paper ID: 1703453
  • Page: 184-190
  • Published Date: 27-05-2022
  • Published In: Iconic Research And Engineering Journals
  • Publisher: IRE Journals
  • e-ISSN: 2456-8880
  • Volume/Issue: Volume 5 Issue 11 May-2022
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

Citations

IRE Journals:
K. C. Nwachukwu , O. Edike , I. S. Akosubo , A. U. Igbojiaku , F. K. Atulomah "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" Iconic Research And Engineering Journals Volume 5 Issue 11 2022 Page 184-190

IEEE:
K. C. Nwachukwu , O. Edike , I. S. Akosubo , A. U. Igbojiaku , F. K. Atulomah "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" Iconic Research And Engineering Journals, 5(11)