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 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.