1. Hi-Octane fitness Playground Pablo Bracero Pablo Ruiz Damaris Santana Ana Vazquez University Of Puerto Rico Mechanical Engineering Department Computer Aided Design Dr. Vijay K. Goyal

2. Agenda Background Objectives Problem Description Possible Solutions Project Flow Final Design Optimization Analysis Structural Analysis Cost Analysis Conclusion 2

3. Background A playground contributes to: Develop basic motor skills. Helps decrease obesity in children. Develops physical, cognitive and emotional strength. Place for interaction and socialization. 3

4. Project Description New Playground Challenge: Memory Agilities Balanced Motivation Actual Playground Slide Swing Sand box Climb Based on the customer requirements and needs: Contribute to the development of the gross motor skills Running Jumping Balancing Prevent obesity Maintaining kids healthier and strong Gives the child the opportunity to socialize and interact with other kids. 4

5. Objectives Create 3 playground designs. Unique, Safe, Affordable and Eco-Friendly. Help develop the child’s motor skills For more than 3 children. Ages from 3 to 7. 20 ft by 20 ft area. Budget between $300 and $600 5

6. Project Flow Need Generate Ideas Final Design Analysis Conclusion Optimization Structure Analysis Cost Analysis 12 3 3 6

7. Possible Solutions Design #2Design #3 Design #1 7

8. Final Design Design #3 8

9. Optimization Analysis Curved Beam σyσy 6.9 ksi σ UTS 16.7 ksi E1088 ksi ρ0.0975 lb/in 3 ν0.33 Aluminum 6061 Properties Design Variables: t h b Objective Function:Solution: h=5 in b=5 in t=1/4 in 9

10. Structural Analysis - ANSYS Meshed Product 10

11. Structural Analysis - ANSYS Loads & Boundary Conditions Equivalent (von-Mises) Stress σ UTS = 16.7 ksi n = 2 11

12. Structural Analysis - ANSYS Total Deformation Shape Optimization 1 12

13. Cost Analysis Total Cost = 756.65 13

14. Conclusions Multi-Theme Playground bring for child's a variety of concepts such as: safety, recreation, creativity, imagination, motor skills and motivation. This design covers important aspects that every responsible parent should consider at the moment when buying a playground like safety, uniqueness, capacity and economic. 14

15. Acknowledgment Dr. Vijay Goyal Children (survey) 15

16. Questions 16

17. Appendix 17

18. Cost Analysis PartsMaterialQtyPounds Material Cost ($) Manufacture Processing time (min) Cost/time ($/min) Manufacture Processing Cost ($) * Qty Basket AL / HDPE1-75.00101.21 Mushroom HDPE1200100.00202.42 Swing HDPE150100.00202.42 Hopscotch EVA foam10-15.0050.606.04 Multi-activity HDPE17575.00151.81 Slide HDPE23050.00101.212.42 Monkey Bars AL10-80.00151.8118.13 Climber AL / HDPE1-75.00151.81 Rubber Mulch Rubber1-150.00--- Total Material Cost per unit 720.00 Total Manufacture processing cost per unit 36.25 Total Cost per unit 756.65 18

19. Optimization Analysis Constraints: Method of Lagrange Multipliers: Lagrange Equation for our problem: 19

20. Optimization Analysis Lagrangian Problem Ensure the Lagrangian will be stationary: In order to satisfy the second K-T condition: 20

21. Optimization Analysis Solution: K-T Conditions: 21