Jorge Corujo Sandín Wilfredo Mercado Torres Débora Pagán Díaz Anthony Silva Reyes Faculty...
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Transcript of Jorge Corujo Sandín Wilfredo Mercado Torres Débora Pagán Díaz Anthony Silva Reyes Faculty...
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
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
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
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
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