A Solution of Plane Stress Problem Subjected to Horizontal Shear Force by Using Polynomial Airy Stress Function
Many structural analysis problems in civil engineering and mechanical engineering can be treated as plane stress and plane strain problems introduced in the theory of elasticity. One of the popular analytical methods to tackle plane analysis is to determine Airy stress function. In general, the Airy...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Mouloud Mammeri University of Tizi-Ouzou
2021-05-01
|
| Series: | Journal of Materials and Engineering Structures |
| Subjects: | |
| Online Access: | http://revue.ummto.dz/index.php/JMES/article/view/2474 |
| _version_ | 1818599864592760832 |
|---|---|
| author | Luu Xuan LE Lam Giang LAM Nghia Trong NGUYEN Samir KHATIR Samir TIACHACHT Cuong Thanh LE |
| author_facet | Luu Xuan LE Lam Giang LAM Nghia Trong NGUYEN Samir KHATIR Samir TIACHACHT Cuong Thanh LE |
| author_sort | Luu Xuan LE |
| collection | DOAJ |
| description | Many structural analysis problems in civil engineering and mechanical engineering can be treated as plane stress and plane strain problems introduced in the theory of elasticity. One of the popular analytical methods to tackle plane analysis is to determine Airy stress function. In general, the Airy stress function depends on the analyzed domain and the applied loads; however, the number of problems that can be solved by employing this method is limited because of the formidable challenges of guessing trial function. In many cases, the trial Airy stress functions are selected based on the results of a simple beam model or experimental results. This paper introduces a solution of the plane stress subjected to horizontal shear forces by using a polynomial Airy stress function, in which the trail function is predicted from the results of the elementary beam theory of an equivalent model. The numerical investigation on stress distributions was presented, and it showed that although the internal shear force acting on cross-sections have not appeared, shear stress still appeared, and the shear stress diagram had both negative and positive areas. |
| first_indexed | 2024-12-16T12:26:22Z |
| format | Article |
| id | doaj.art-ecea79550058473f83481539961e520c |
| institution | Directory Open Access Journal |
| issn | 2170-127X |
| language | English |
| last_indexed | 2024-12-16T12:26:22Z |
| publishDate | 2021-05-01 |
| publisher | Mouloud Mammeri University of Tizi-Ouzou |
| record_format | Article |
| series | Journal of Materials and Engineering Structures |
| spelling | doaj.art-ecea79550058473f83481539961e520c2022-12-21T22:31:49ZengMouloud Mammeri University of Tizi-OuzouJournal of Materials and Engineering Structures2170-127X2021-05-018121301826A Solution of Plane Stress Problem Subjected to Horizontal Shear Force by Using Polynomial Airy Stress FunctionLuu Xuan LE0Lam Giang LAM1Nghia Trong NGUYEN2Samir KHATIRSamir TIACHACHT3Cuong Thanh LE4Faculty of Civil Engineering, University of Transport and CommunicationsFaculty of Civil Engineering, University of Transport and CommunicationsFaculty of Civil Engineering, Ho Chi Minh City Open UniversityLaboratory of Mechanics, Structure and Energetics (LMSE), Mouloud Mammeri University of Tizi-OuzouFaculty of Civil Engineering, Ho Chi Minh City Open UniversityMany structural analysis problems in civil engineering and mechanical engineering can be treated as plane stress and plane strain problems introduced in the theory of elasticity. One of the popular analytical methods to tackle plane analysis is to determine Airy stress function. In general, the Airy stress function depends on the analyzed domain and the applied loads; however, the number of problems that can be solved by employing this method is limited because of the formidable challenges of guessing trial function. In many cases, the trial Airy stress functions are selected based on the results of a simple beam model or experimental results. This paper introduces a solution of the plane stress subjected to horizontal shear forces by using a polynomial Airy stress function, in which the trail function is predicted from the results of the elementary beam theory of an equivalent model. The numerical investigation on stress distributions was presented, and it showed that although the internal shear force acting on cross-sections have not appeared, shear stress still appeared, and the shear stress diagram had both negative and positive areas.http://revue.ummto.dz/index.php/JMES/article/view/2474plane stress analysisairy stress functionshear stress distribution |
| spellingShingle | Luu Xuan LE Lam Giang LAM Nghia Trong NGUYEN Samir KHATIR Samir TIACHACHT Cuong Thanh LE A Solution of Plane Stress Problem Subjected to Horizontal Shear Force by Using Polynomial Airy Stress Function Journal of Materials and Engineering Structures plane stress analysis airy stress function shear stress distribution |
| title | A Solution of Plane Stress Problem Subjected to Horizontal Shear Force by Using Polynomial Airy Stress Function |
| title_full | A Solution of Plane Stress Problem Subjected to Horizontal Shear Force by Using Polynomial Airy Stress Function |
| title_fullStr | A Solution of Plane Stress Problem Subjected to Horizontal Shear Force by Using Polynomial Airy Stress Function |
| title_full_unstemmed | A Solution of Plane Stress Problem Subjected to Horizontal Shear Force by Using Polynomial Airy Stress Function |
| title_short | A Solution of Plane Stress Problem Subjected to Horizontal Shear Force by Using Polynomial Airy Stress Function |
| title_sort | solution of plane stress problem subjected to horizontal shear force by using polynomial airy stress function |
| topic | plane stress analysis airy stress function shear stress distribution |
| url | http://revue.ummto.dz/index.php/JMES/article/view/2474 |
| work_keys_str_mv | AT luuxuanle asolutionofplanestressproblemsubjectedtohorizontalshearforcebyusingpolynomialairystressfunction AT lamgianglam asolutionofplanestressproblemsubjectedtohorizontalshearforcebyusingpolynomialairystressfunction AT nghiatrongnguyen asolutionofplanestressproblemsubjectedtohorizontalshearforcebyusingpolynomialairystressfunction AT samirkhatir asolutionofplanestressproblemsubjectedtohorizontalshearforcebyusingpolynomialairystressfunction AT samirtiachacht asolutionofplanestressproblemsubjectedtohorizontalshearforcebyusingpolynomialairystressfunction AT cuongthanhle asolutionofplanestressproblemsubjectedtohorizontalshearforcebyusingpolynomialairystressfunction AT luuxuanle solutionofplanestressproblemsubjectedtohorizontalshearforcebyusingpolynomialairystressfunction AT lamgianglam solutionofplanestressproblemsubjectedtohorizontalshearforcebyusingpolynomialairystressfunction AT nghiatrongnguyen solutionofplanestressproblemsubjectedtohorizontalshearforcebyusingpolynomialairystressfunction AT samirkhatir solutionofplanestressproblemsubjectedtohorizontalshearforcebyusingpolynomialairystressfunction AT samirtiachacht solutionofplanestressproblemsubjectedtohorizontalshearforcebyusingpolynomialairystressfunction AT cuongthanhle solutionofplanestressproblemsubjectedtohorizontalshearforcebyusingpolynomialairystressfunction |