Jorge Corujo SandínWilfredo Mercado TorresDébora Pagán DíazAnthony Silva Reyes

Faculty Advisor : Vijay K. Goyal, PhDCourse: INME 4058

University of Puerto Rico Mayaguez Campus

Mechanical Engineering Department

Problem Description Literature Survey Design Selection Optimization ANSYS Cost Conclusion

Actual car clothes carriers hold only a few hangers

Visibility of the driver can be affected when using the standard carrier

Sometimes a great amount of clothes is needed to be carried, Wrinkle Free!

Placement of clothes in seats affect available seating space

Hanger Extensions Pro:

Provides Space for 10 comfortably placed slim hangers.

Clothes can travel and be Wrinkle Free

Economic Compact and simple to

use. Rear passengers next to

the window is not bothered

Hanger Extensions (cont) Cons:

It limits the hanging space to 5-8 garments

The placement of the garments affects the drivers visibility

It may be weak to sustain heavier loads.

Cross Car Bars Pros

It can hold large number of clothes as well as heavy loads.

It provides hanging surface even if there is no clothe hanger

Cons Limits the driver’s

visibility May cause discomfort

to rear passenger. When kept inside the

vehicle; its difficult to store.

Design a clothes carrier system for a Toyota Sienna Should not compromise safety Should not compromise seating space Hold up to 20 pounds in clothes Cost less than $20.00 USD Be ergonomic and easy to use

Long slot to hang up many clothes hangers

Idea # 1Idea # 2

Idea # 3

Pughs Method

Criteria Score (0-10)

Design #1 Design #2 Design #3DATUM : Standard clothes carrier

Backpack strapped to the back of a car seat

Retractable handle Headrest device

1. Safety 7 -1 0 2 02. Cost 5 1 -1 -1 03. Ease of use 6 -2 -1 0 04. Style 4 -1 0 2 0

5. Available hanging space 9 1 1 2 06. Strength 7 2 0 1 07. Space occupied 5 -1 0 -1 0 Total 43 -1 -1 5 0Total Positive ---- 4 1 7 0Total Negative ---- -5 -2 -2 0Weighted Total ---- 0 -2 37 0

Idea # 3

Optimize the arms Most critical part of the

system Supports clothes’ weight

Subjected to bending stresses

Clothes’ weight creates a moment at the pins

Design the arms to be: Strong Light

Arms to be analyzed

Material: Al alloy 2024 Analyzed as supported by 2

pins Modeled as a hollow cylinder Distributed force of 1.66 lb/in Greatest Moment @ pin B

Pin B

Design variables x1= Ro x2= Ri

Objective function

 

Constrained optimization problem

Constraints

Method of Lagrange Multipliers The Lagrangian Function

Lagrangian equation for our problem

ghn

iii

n

kkk xgxhxfx

11

,,

)04583662(.)5.0( 781.3),,(x, 42

411332

11222111

22

21 xxxxxxxxx

Lagrangian problem: System of nonlinear equations

04562.7

0404583662.562.7

323212

2

3133211

1

xxx

xxx

0)5.0(**

0)04583662(.**

0**

0*

1111

42

411333

321

12222

2111

xh

xxxg

xxg

xg

Solution

17.1187-

304.28

0

0

0.44604

0.5

1

3

2

1

2

1

x

x

44604.0

5.0*x

!:...181.6)( * GoodDefinedxf

!...00)(

!...00227.0)(

!...044604.0)(

!...0)(

*3

*2

*1

*1

Goodxg

Goodxg

Goodxg

Goodxh

Optimum inner radius:Ri = 0.44604 in

Selected radius:Ro = 0.5 inRi = 0.4375 in

•Optimized Segment can be modeled as a simply supported beam

•Each support element carries half of the design weight

(i.e. 10 lbs each)

•The applied force was simulated perpendicular to the beam.

•This is a worst case scenario, since in practice said force would be in an angle.

•Therefore reducing the actual force applied.

•Element chosen was Pipe 16

•Max Deflection at free point was 0.394 inches

•Additional analysis proved troublesome and where ignored, since they provided questionable answers.

Material Quantity Unit Price

High-Strength Aluminum (Alloy 2024) 1 $15.16

Sheet 0.025" THK, 12" x 12"

High-Strength Aluminium (Alloy 2024)

1 $29.68

Tube 0.500" OD, 3' L

High-Strength Aluminum (Alloy 2024)

1 $4.22

Tube 0.375" OD, 1' L

*Miscellaneous 1 $10.00

Prototype Total $59.06

* Miscellaneous = Washers and Bolts

There is still room for improvement: Stronger and less expensive materials Adaptability for multiple vehicles Optimization of the rest of the elements will yield an

even better design. Design parameters where reached:

Simple Design Ease of use Supports desired weight Does not affect visibility Does not take up a passenger’s seat

Our Motto:

“SIMPLICITY, EFFECTIVENESS & STRENGHT”.