MATHEMATICAL MODELING AND DESIGN OPTIMIZATION OF AN ADJUSTABLE STANDING DESK FOR ERGONOMIC HOME OFFICE USE

This study addresses the Ergonomic challenges faced by individuals working from home due to insufficiently supportive furniture, which contributes to discomfort, poor posture, and health complications. The aim was to develop a cost-effective, adjustable standing desk design that enhances user com...

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Main Authors: Hasan Jumaah Mrayeh, Ali Nassir Huseen Al- Huseeny, Ali Samir A., Abdulrahman Hamid
Format: Article
Language:English
Published: Institute of Mechanics of Continua and Mathematical Sciences 2025-03-01
Series:Journal of Mechanics of Continua and Mathematical Sciences
Subjects:
Online Access:https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/03/13091244/jmcms-2503020-Mathematical-Modeling-and-Design-Optimization.pdf
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author Hasan Jumaah Mrayeh
Ali Nassir Huseen Al- Huseeny
Ali Samir A.
Abdulrahman Hamid
author_facet Hasan Jumaah Mrayeh
Ali Nassir Huseen Al- Huseeny
Ali Samir A.
Abdulrahman Hamid
author_sort Hasan Jumaah Mrayeh
collection DOAJ
description This study addresses the Ergonomic challenges faced by individuals working from home due to insufficiently supportive furniture, which contributes to discomfort, poor posture, and health complications. The aim was to develop a cost-effective, adjustable standing desk design that enhances user comfort by increasing height and workspace area while ensuring stability, postural support, and health benefits. A mathematical modeling approach was employed to analyze the stability, strength, and functional performance of the standing desk. The design specifications included achieving a height of at least 45 cm, a workspace area of 4000 cm2 or greater, and sufficient stability to support 50 pounds of weight, all while maintaining a total cost below $250. Several conceptual designs were considered using a decision-making matrix, with the final design developed using SolidWorks software to model key mechanical components. The model was verified using numerical analysis, including torque calculations for stability assessment. The final design achieved a maximum height of 50.64 cm and a workspace area of 7600 cm2, both exceeding the specified requirements. Stability was verified through torque calculations at the points of structural support, demonstrating that the design could counteract applied forces effectively. An assessment of aesthetic appeal, based on a user survey, indicated an 87% satisfaction rate. The total estimated cost $173.4 met the budgetary constraint, leaving room for additional manufacturing expenses. The results demonstrate that the proposed adjustable standing desk meets all functional, non-functional, and cost constraints, offering a viable ergonomic solution for home office settings. Recommendations are provided for improving use convenience and manufacturability in potential future production stages.
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id doaj-art-15cc9b28cc1a4d1c90d573335bf0cc5f
institution Kabale University
issn 0973-8975
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language English
publishDate 2025-03-01
publisher Institute of Mechanics of Continua and Mathematical Sciences
record_format Article
series Journal of Mechanics of Continua and Mathematical Sciences
spelling doaj-art-15cc9b28cc1a4d1c90d573335bf0cc5f2025-08-20T03:30:19ZengInstitute of Mechanics of Continua and Mathematical SciencesJournal of Mechanics of Continua and Mathematical Sciences0973-89752454-71902025-03-0120318019710.26782/jmcms.2025.03.00012MATHEMATICAL MODELING AND DESIGN OPTIMIZATION OF AN ADJUSTABLE STANDING DESK FOR ERGONOMIC HOME OFFICE USEHasan Jumaah Mrayeh0Ali Nassir Huseen Al- Huseeny1Ali Samir A.2Abdulrahman Hamid3Department of Chemical Science Department College of Science, AlMuthanna University, Al-Muthanna, Samawah, Iraq. / Department of Mechanical & Mechatronics Engineering, Waterloo University, ON, Canada.College of Engineering, Al-Muthanna University, Al-Muthanna, Samawah Iraq.College of Engineering, Al-Muthanna University, Al-Muthanna, Samawah Iraq.Department of Civil and Environmental Engineering, University of Waterloo, Waterloo, ON N2L 3G1, Canada.This study addresses the Ergonomic challenges faced by individuals working from home due to insufficiently supportive furniture, which contributes to discomfort, poor posture, and health complications. The aim was to develop a cost-effective, adjustable standing desk design that enhances user comfort by increasing height and workspace area while ensuring stability, postural support, and health benefits. A mathematical modeling approach was employed to analyze the stability, strength, and functional performance of the standing desk. The design specifications included achieving a height of at least 45 cm, a workspace area of 4000 cm2 or greater, and sufficient stability to support 50 pounds of weight, all while maintaining a total cost below $250. Several conceptual designs were considered using a decision-making matrix, with the final design developed using SolidWorks software to model key mechanical components. The model was verified using numerical analysis, including torque calculations for stability assessment. The final design achieved a maximum height of 50.64 cm and a workspace area of 7600 cm2, both exceeding the specified requirements. Stability was verified through torque calculations at the points of structural support, demonstrating that the design could counteract applied forces effectively. An assessment of aesthetic appeal, based on a user survey, indicated an 87% satisfaction rate. The total estimated cost $173.4 met the budgetary constraint, leaving room for additional manufacturing expenses. The results demonstrate that the proposed adjustable standing desk meets all functional, non-functional, and cost constraints, offering a viable ergonomic solution for home office settings. Recommendations are provided for improving use convenience and manufacturability in potential future production stages.https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/03/13091244/jmcms-2503020-Mathematical-Modeling-and-Design-Optimization.pdfadjustable standing deskergonomic designmathematical modelingstability analysisdesign optimizationsolid work modeling
spellingShingle Hasan Jumaah Mrayeh
Ali Nassir Huseen Al- Huseeny
Ali Samir A.
Abdulrahman Hamid
MATHEMATICAL MODELING AND DESIGN OPTIMIZATION OF AN ADJUSTABLE STANDING DESK FOR ERGONOMIC HOME OFFICE USE
Journal of Mechanics of Continua and Mathematical Sciences
adjustable standing desk
ergonomic design
mathematical modeling
stability analysis
design optimization
solid work modeling
title MATHEMATICAL MODELING AND DESIGN OPTIMIZATION OF AN ADJUSTABLE STANDING DESK FOR ERGONOMIC HOME OFFICE USE
title_full MATHEMATICAL MODELING AND DESIGN OPTIMIZATION OF AN ADJUSTABLE STANDING DESK FOR ERGONOMIC HOME OFFICE USE
title_fullStr MATHEMATICAL MODELING AND DESIGN OPTIMIZATION OF AN ADJUSTABLE STANDING DESK FOR ERGONOMIC HOME OFFICE USE
title_full_unstemmed MATHEMATICAL MODELING AND DESIGN OPTIMIZATION OF AN ADJUSTABLE STANDING DESK FOR ERGONOMIC HOME OFFICE USE
title_short MATHEMATICAL MODELING AND DESIGN OPTIMIZATION OF AN ADJUSTABLE STANDING DESK FOR ERGONOMIC HOME OFFICE USE
title_sort mathematical modeling and design optimization of an adjustable standing desk for ergonomic home office use
topic adjustable standing desk
ergonomic design
mathematical modeling
stability analysis
design optimization
solid work modeling
url https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/03/13091244/jmcms-2503020-Mathematical-Modeling-and-Design-Optimization.pdf
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AT alisamira mathematicalmodelinganddesignoptimizationofanadjustablestandingdeskforergonomichomeofficeuse
AT abdulrahmanhamid mathematicalmodelinganddesignoptimizationofanadjustablestandingdeskforergonomichomeofficeuse