Market Umbrella

ENGR 20 – Mechanics of Materials (Statics) Course Project

By:

Keiichi McGuire & Matthew Ward

Background

Purpose/Objective of the Item Justification of Assumptions Graphics Prototypes Leading Up to the State-of-the-Art

Item Market Size Sources of Information About Item

Graphics

Graphics

Graphics

Background

Purpose/Objective of the Item Justification of Assumptions Graphics Prototypes Leading Up to the State-of-the-Art

Item Market Size Patent Claims Sources of Information About Item

Materials and Methods

Justification of Assumptions about Materials and Methods

Consideration of the Materials and Manufacturing Methods

Calculations

Justifications of Assumptions Wind Force Calculations Arm Receiving Wind Force Short Arm Bottom Collar Top Collar Pulley System Pole Concluding Calculations

Calculations

Calculations /W d nF C q A g

1.6dC 21

2nq v 3

0.0756wood

lb

ft

213.78TA ft 23.92PA ft

316.7WF lbs

90.2WPF lbs

Calculations

0 2.3 3.5J SW WM ft F ft F 3.5

2.3W

SW

F ftF

ft

481.9SWF lbs

40 sin(45 )X SW W C XF F F F 4 sin(45 )C X SW WF F F

4 24.1C XF lbs

40 sin(45 )Y SW C YF F F 4 sin(45 )C Y SWF F

4 340.8C YF lbs

Calculations

20 sin(45 ) sin(45 )Y SW CF F F

2C SWF F

2 481.9CF lbs

Calculations

20 sin(45 )Y Pulley CF F F

2 sin(45 )Pulley CF F

340.8PulleyF lbs

2 10 sin(45 )X C PF F F 1 2 sin(45 )P CF F

1 340.8PF lbs

Calculations

2 40X P C XF F F 2 4P C XF F

2 24.1PF lbs

4 30Y C Y PF F F 3 4P C YF F

3 340.8PF lbs

Calculations

0 2Y PulleyF F T

2PulleyF

T

170.4T lbs

40 2 cos(22.5 )Y PF F T T 4 (2 cos(22.5 ))PF T

4 498.2PF lbs

50 sin(22.5 )X PF T F 5 sin(22.5 )PF T

5 65.2PF lbs

Calculations

1 5 20X P P P RX WPF F F F F F 1 5 2RX P P P WPF F F F F

472.1RXF lbs

3 40Y P P RYF F F F 3 4RY P PF F F

157.4RYF lbs

2 5 10 5.67 5.42 2.37 0.98O P P P WP RM ft F ft F ft F ft F M 2 5 15.67 5.42 2.37 0.98R P P P WPM ft F ft F ft F ft F

1112.9RM ft lb

Calculations

Calculations

Discussion

Pros and Cons of the Designs Competitive Options Anticipated Failure Modes and Life

Expectancy Suggested Design Improvements

Conclusions

References http://www.fibersource.com/f-tutor/polyester.htm

This website offered material information on polyester.

http://www.IndiaMART.com This site was useful in obtaining information regarding the manufacturing process of tarpaulins.

epejack@uop.edu- Professor, 102 Khoury Hall, 209-946-3082 Contact information for Dr. Edwin Pejack. Dr. Pejack was helpful in securing

information on modeling equivalent wind forces.

rainseal@bom5.vsnl.net.in- 101 Mohan Palace, TPS-III, 57th Road, Mumbai, Maharashtra - 400 092 (INDIA) Contact information for Mr. Harish Agarwal. Mr. Agarwal provided the group concerning the lifetime

of the tarpaulins via e-mail.

Patent 4,567,907 – Patent information regarding an umbrella having an easily operated pulley means for opening and closing the same.

Bodig, Jozsef & Jayne A., Benjamin. Mechanics of Wood and Wood Composites. New York: Van Nostrand Reinhold Company, 1982. This book was used to find information on

wood mechanics.

Schodek L., Daniel. Structures. New Jersey: Prentice Hall, 1998.This text book was used to obtain equations and knowledge to acquire wind force

information.

kschulz@uop.edu- Associate Professor, 110 Khoury Hall, 209-946-3081 Contact information for Dr. Kurt Schulz. Dr. Schulz was helpful in obtaining information on wind

loads.