Load Deflection Analysis of Beam-Column using Total Potential Energy (TPE) Principle
A modified TPE approach to perform finite deflection analysis of slender beam-column elements has been developed. The proposed approach utilizes the energy principal method and takes into account the geometric nonlinearity including the effects of axial force on bending stiffness, the end moments on...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Faculty of Engineering, University of Kufa
2025-02-01
|
| Series: | Mağallaẗ Al-kūfaẗ Al-handasiyyaẗ |
| Subjects: | |
| Online Access: | https://journal.uokufa.edu.iq/index.php/kje/article/view/15396 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832087139401072640 |
|---|---|
| author | Manar A. Al-Fadul Haider H. Darwash Furat Y. Al-Ghalibi |
| author_facet | Manar A. Al-Fadul Haider H. Darwash Furat Y. Al-Ghalibi |
| author_sort | Manar A. Al-Fadul |
| collection | DOAJ |
| description | A modified TPE approach to perform finite deflection analysis of slender beam-column elements has been developed. The proposed approach utilizes the energy principal method and takes into account the geometric nonlinearity including the effects of axial force on bending stiffness, the end moments on axial stiffness (bowing), and the initial imperfection. A new equation of the deformation curve that approaches to the exact solution is used in the strain-displacement relation to obtain a more accurate beam-column response. The derived formulation of displacement of the beam-column under axial compressive load with single curvature bowing is presented with initial imperfection and different end eccentricities. The Green strain tensor equation is developed to consider higher-order bowing term. Nonlinear analysis of central finite deflection is carried out using Newton-Raphson iteration that includes high order terms of total potential energy (TPE). The beam-column stability is verified by computing the hessian determinant of the total potential energy. The validity of the new approach is established by comparing the numerical results obtained using the proposed equations against data previously published in the literature. Outputs from the analysis indicate that the proposed approach is capable of capturing the deflection of the beam-column with enhanced accuracy, ranging from 8.5% for e = 0.025 and up to 23.5% when e = 0.125.
|
| format | Article |
| id | doaj-art-81320dd84b5f469fa64b4cadd6950885 |
| institution | Kabale University |
| issn | 2071-5528 2523-0018 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Faculty of Engineering, University of Kufa |
| record_format | Article |
| series | Mağallaẗ Al-kūfaẗ Al-handasiyyaẗ |
| spelling | doaj-art-81320dd84b5f469fa64b4cadd69508852025-02-06T07:20:51ZengFaculty of Engineering, University of KufaMağallaẗ Al-kūfaẗ Al-handasiyyaẗ2071-55282523-00182025-02-01160123325110.30572/2018/KJE/160114Load Deflection Analysis of Beam-Column using Total Potential Energy (TPE) PrincipleManar A. Al-Fadul0https://orcid.org/0009-0000-0188-2015Haider H. Darwash1Furat Y. Al-Ghalibi2Department of Civil Engineering, University of KufaDepartment of Civil Engineering, University of KufaDepartment of Structures and Water Recourses, University of KufaA modified TPE approach to perform finite deflection analysis of slender beam-column elements has been developed. The proposed approach utilizes the energy principal method and takes into account the geometric nonlinearity including the effects of axial force on bending stiffness, the end moments on axial stiffness (bowing), and the initial imperfection. A new equation of the deformation curve that approaches to the exact solution is used in the strain-displacement relation to obtain a more accurate beam-column response. The derived formulation of displacement of the beam-column under axial compressive load with single curvature bowing is presented with initial imperfection and different end eccentricities. The Green strain tensor equation is developed to consider higher-order bowing term. Nonlinear analysis of central finite deflection is carried out using Newton-Raphson iteration that includes high order terms of total potential energy (TPE). The beam-column stability is verified by computing the hessian determinant of the total potential energy. The validity of the new approach is established by comparing the numerical results obtained using the proposed equations against data previously published in the literature. Outputs from the analysis indicate that the proposed approach is capable of capturing the deflection of the beam-column with enhanced accuracy, ranging from 8.5% for e = 0.025 and up to 23.5% when e = 0.125. https://journal.uokufa.edu.iq/index.php/kje/article/view/15396beam-columnfinite deflectionuniaxial bentgreen strain tensorinitial imperfectionbowing effectmember stability |
| spellingShingle | Manar A. Al-Fadul Haider H. Darwash Furat Y. Al-Ghalibi Load Deflection Analysis of Beam-Column using Total Potential Energy (TPE) Principle Mağallaẗ Al-kūfaẗ Al-handasiyyaẗ beam-column finite deflection uniaxial bent green strain tensor initial imperfection bowing effect member stability |
| title | Load Deflection Analysis of Beam-Column using Total Potential Energy (TPE) Principle |
| title_full | Load Deflection Analysis of Beam-Column using Total Potential Energy (TPE) Principle |
| title_fullStr | Load Deflection Analysis of Beam-Column using Total Potential Energy (TPE) Principle |
| title_full_unstemmed | Load Deflection Analysis of Beam-Column using Total Potential Energy (TPE) Principle |
| title_short | Load Deflection Analysis of Beam-Column using Total Potential Energy (TPE) Principle |
| title_sort | load deflection analysis of beam column using total potential energy tpe principle |
| topic | beam-column finite deflection uniaxial bent green strain tensor initial imperfection bowing effect member stability |
| url | https://journal.uokufa.edu.iq/index.php/kje/article/view/15396 |
| work_keys_str_mv | AT manaraalfadul loaddeflectionanalysisofbeamcolumnusingtotalpotentialenergytpeprinciple AT haiderhdarwash loaddeflectionanalysisofbeamcolumnusingtotalpotentialenergytpeprinciple AT furatyalghalibi loaddeflectionanalysisofbeamcolumnusingtotalpotentialenergytpeprinciple |