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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
Subject area: Science,Engineering and Technology · Area of research: Civil Engineering
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
How to cite this paper
@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},
}