EDSGN100 Truss Bridge Design Final Design

EDSGN100 Truss Bridge Design
Final Design Report
Introduction to Engineering Design
EDGSN 100; Section 001
Fantastic Four
(Design Team #3)
Cassandra E. Baum, www.personal.psu.edu/ceb5446, [email protected]
Joshua A. Moser, www.personal.psu.edu/jwm5888, [email protected]
Sherylee Harley, www.personal.psu.edu/[email protected], [email protected]
Adarsh Vasudevan, www.personal.psu.edu/[email protected], [email protected]
Submitted to: Prof. Berezniak
Date: 04/08/2013
1
Spring 2013
EDSGN100 Truss Bridge Design
Final Design Report
Table of Contents
Executive Summary……………………………………………………………..
1.0
2.0
2.1
2.2
2.3
2.4
2.5
3.0
4.0
5.0
6.0
7.0
8.0
9.0
10.0
11.0
12.0
Introduction…………….……………………………………………..…….
General Factors for Design………………………………………………….
Structural Constraints.…….………….……………………….……. ………
Construction Constraints..……………………………….………………….
Quality Control Testing.…………….………………………..…………….
Aesthetics…………………………….……………………….…………….
Economics ….………….…………………….……………….…………….
Consideration of Design Alternatives………………………………………
Selection of Bridge Design………..…………….………………………….
Prototype Construction………..…………….……………………...............
Estimated Load Capacity………..…………….…………………………...
Prototype Load Testing….…………….…………………………………..
Prototype Performance and Forensic Analysis….……………….………..
Final Design Performance………….……………………………………..
Refine the Design...…………….…………………………………………
Conclusions and Recommendations………..…………….………………
References.………..…………….………………………………………..
Table 1
Table 2
Table 3
Table 4
Table 5
Table 6
Table 7
List of Tables
Dry Stick Weight………………………………………
Wet Stick Weight………………………..……..……...
Dry Glued Stick Weight.………….……..…………….
Material Costs………………………………………….
Force Chart 1…………………………………………..
Force Chart 2…………………………………………..
Overall Ranks………………………………………….
Page 4
Page 5
Page 5
Page 5
Page 5
Page 6-8
Page 8
Page 8
Page 8-9
Page 9-10
Page 11
Page 11
Page 11
Page 12
Page 13
Page 13-14
Page 14
Page 14-15
Page 6
Page 6
Page 7
Page 8
Page 9
Page 10
Page 13
Figure 1
Figure 2
Figure 3
Figure 4
List of Figures
Quadrangular Through Warren Truss…..………………………
Customized Camel Back Truss Bridge………………………….
Side View…………………………………………….…………
Failure Points……………………………………………………
Page 9
Page 10
Page 11
Page 12, 14
Chart 1
Chart 2
List of Charts
Weight of Popsicle Sticks w/o Glue……………………………………………
Weight of Popsicle Sticks w/ Wet Glue………………………………………
Page 6
Page 7
2
Spring 2013
Chart 3
Weight of Popsicle Sticks w/ Dry Glue………………………………………
3
Page 8
Spring 2013
EDSGN100 Truss Bridge Design
Final Design Report
Executive Summary
We were approached by a company to design a bridge that was strong, aesthetically pleasing,
and economically efficient. We were to come up with a prototype using wood craft sticks and
white Elmer’s glue. We were given specific specifications that we needed to follow, or else or
company would not be pleased with our efforts and we would not get paid with a good grade.
Through some analysis, we tested to see how many craft sticks we could use without going over
the maximum weight. We then made our bids based off of this estimate. We bought a lot of
materials for a simple bridge design. Our design was simple because we were trying to make it a
realistic task where we would not be given all the material and money that we wanted. For our
purchasing of materials, we went with the better safe than sorry approach; however we did not
use a lot of our materials. We came up with a customized Camel Back Truss Bridge design, to
make it a very realistic type of bridge that could be used. Once we constructed our bridge, we
tested it by adding weight to a bucket that was suspended from the deck of our bridge, ten inches
from the one side. The quality of which we built our prototype was great. We definitely took our
time to make sure that we put everything together in the correct way. Our bridge performed in an
average matter, where we held 47.6 pounds, which was good for the amount of material we used.
Our bridge failed on the deck as well as our one end post. Our bridge could have been improved
through the use of more lateral bracing and struts towards the ends of our bridge. We also
decided that the next time we would improve our design by adding structural support underneath
the deck, because we had no support there. Overall our bridge did extremely well with our
rankings in the class. We were tied for second best overall bridge design, and we feel that we
could make this ranking even better through the implementation of everything that we have
4
Spring 2013
learned in this engineering design process. We are now more prepared and ready for the next
task than when we were before we started this project.
1.0. Introduction.
Design project 1 was to build a truss bridge using popsicle sticks and Elmer’s glue. While
building the bridge we were to make the strongest prototype we could, but also minimize cost
and weight and also make it aesthetically pleasing. Upon building the bridge we were given
certain constraints including weight and dimensions. Before beginning construction we did
testing to see how much glue was required to glue two popsicle sticks together with the most
strength. Also in our concept design we had to consider the ease of construction, aesthetics,
strength, and weight. After construction we will load test it to failure then analyze why it failed.
2.0 General Factors for Design.
2.1 Structural Constraints.
Our bridge was to be 30-34 inches in length, while not exceeding 400g. It could not
be taller than 10 inches and below the deck could not exceed 3 inches. The width had to be no
more than 5 inches. Overall the bridge would have to accommodate a 4 by 4 inch vehicle. There
are no I-beams or box-beams allowed. Popsicle sticks are not allowed to overlap over 50% of
another stick. Our prototype was a customized Camelback Truss Bridge because we felt the
simple design would work best as a realistic situation and our customized touch would increase
the aesthetics a little.
2.2 Construction Constraints.
We were limited to only 2 types of materials, including wood craft sticks and white
Elmer’s glue. Connections of the sticks could only contain 6 sticks maximum. There must be at
least a 1-inch clear gap between any two stacks. The deck of the bridge had to be completely
continuous along its width and length, while containing a gap at 10 inches from one end to allow
the load to be attached during the testing process. For load testing, the bridge will set on supports
that will be provided by the Instructor. No special supports may be used. The end supports will
have the dimensions of: 3/4-inches wide x 3/4-inches high x 5-inches long. The end supports will
be placed 29-inches apart (center-to-center).
5
Spring 2013
2.3 Quality Control Testing.
Table 1
Dry Popsicle Stick Weight
#
Sticks
2
4
6
8
10
12
14
16
18
20
dry Weight (grams)
2.5
4.9
7.6
10
12.9
15.7
18.3
21
23.9
26.3
1.25
1.225
1.266667
1.25
1.29
1.308333
1.307143
1.3125
1.327778
1.315
Chart 1
Table #2
Wet glued Popsicle sticks Weight
#
Sticks wet glue Weight (grams)
2
2.6
1.3
4
5.1
1.275
6
7.8
1.3
8
10.2
1.275
10
13.1
1.31
12
16 1.333333
14
18.7 1.335714
16
21.5 1.34375
6
Spring 2013
18
20
24.5 1.361111
27.1
1.355
Chart #2
Table #3
Dry Glued Popsicle Sticks Weight
#
Sticks dry glue weights (grams)
2
2.5
4
4.9
6
7.6
8
10
10
12.9
12
15.7
14
18.4
16
21.1
18
24
20
26.5
7
1.25
1.225
1.266667
1.25
1.29
1.308333
1.314286
1.31875
1.333333
1.325
Spring 2013
Chart #3
As seen by our graphs and tables, we used data collected, essentially, by the entire class to
construct equations to see how much of each type of material we could use, while still staying
under the 400g limit. We weighed the sticks in groups of twos to make a rough graph of how the
sticks, wet sticks, and dry stick’s weights increased with more sticks.
2.4 Aesthetics.
Our bridge design is a hybrid of a Camelback and K-Truss design, we thought that the curvature
gave the design a better appeal to people and overall created a more aesthetic bridge. With a
very basic and common bridge appearance, we felt the aesthetics would be familiar to a
common person.
2.5 Economics.
We had to pay for the wood craft sticks individually and the glue per gram. In the first round of
buying, the sticks cost $1000 and the glue cost $5000 per gram. As seen in the table, we bought
315 sticks and 50 grams of glue. We definitely spent too much during this time because we did
not use all of our materials. I guess it’s better safe than sorry though. We bought extras to
account for the possibility of getting a number of faulty sticks. We did not need to buy extra
materials.
Table 4
3.0 Consideration of Design Alternatives.
We considered this simple quadrangular bridge design because we felt it was one of the
most basic types of bridges out there. People often overlook the simple things in life. But
if it is simple and very common, scientists and engineers must be a reason for it. This is
why we considered it.
8
Spring 2013
Table 5
Quadrangular Through Warren Truss
Figure 1
4.0 Selection of Bridge Design.
We decided to go with our customized bridge design because we felt that it was more
aesthetically pleasing and it kept our simple mindset. We wanted to keep this mindset.
While it was customized slightly by our group, we felt that we did not do anything too
drastic to inhibit its original function to provide safe passage across a valley. We felt that
9
Spring 2013
the weight, strength, and cost would be very similar for both bridges. Ease of
construction and aesthetics were why we picked this bridge type.
Table 6
Customized Camel Back Truss Bridge
Figure 2
10
Spring 2013
5.0 Prototype Construction.
We worked on the construction of this bridge for 3 full class periods and one session outside
of class, adding up to about 22 man hours total. We did not get a measure of our total bridge
weight because our entire class skipped this step. We were too excited to actually test our
bridges. As team 3, we used 17.3 grams of glue, which was way less than what we purchased.
We could have saved a lot of money. But in the real world, we would be able to use that material
for our next project, whatever that may be.
Figure 3
6.0 Estimated Load Capacity.
Our estimated load capacity of our bridge was 55 pounds and we came up with this estimate
by examining the compactness of our design, while being extremely realistic.
7.0 Prototype Load Testing.
The bridge will be loaded on the roadway (deck or road surface) 10-inches from one of the ends.
The loaded end will be determined by the Instructor on bridge loading day.
The load will be applied on a 3-inch square loading plate with the center of the plate placed
exactly 10-inches from one end of the bridge on the roadway (deck). A 3x3-inch square will be
drawn on your bridge at the contest. The load will be applied from weight applied below the
roadway. The bridge must be constructed to allow a steel cable or chain to be suspended
vertically from the 3-inch square loading plate and hang below the deck. The bridge will be
continually loaded until catastrophic failure, meaning the bridge could no longer function as safe,
useable bridge. After loading and bridge failure, each design team must perform a detailed
11
Spring 2013
orensic engineering investigation to determine the cause of bridge failure. The investigation shall
be documented with notes, sketches, drawings, and photographs.
8.0 Prototype Performance and Forensic Analysis.
Once our testing was finished, we discovered that our bridge withstood 47.6 pounds. For the
amount of material that we used, our bridge performed pretty well. We were unable to determine
Failure Load to Bridge Weight Ratio because, as a class, we forgot to measure the total weight of
our bridges. The bridge failed at the end of the deck and at the one corner as shown in the figure.
This part of the bridge is called the end post. A large portion or our deck also fell out. I think this
may be because we had no lateral bracing or struts towards the end of the bridge. The rest of the
bridge held strong and sturdy. Only minor repairs would have to be made.
Figure 4
12
Spring 2013
9.0 Final Design Performance.
Table 7
Our overall rank compared to the other teams is very impressive. We managed to tie for second
out of the 8 teams. Our BELC helped us a lot in this, as our guess was very close at 13.5%. Our
biggest weakness was the load rank, which could easily be weighted to be the most important
rank. However, our load was 47.6 pounds which came in as the sixth best in the class. I believe
that our aesthetics, being that our bridge was a very common bridge type, worked in our
advantage because while it was not too fancy, the voters were familiar with the design and
ranked our bridge as fourth best. Our cost rank also helped us out a great deal as we were ranked
third. This could have been even better, but I think we are still proud of it.
10.0 Refine the Design.
If our bridge was redesigned, we would definitely make changes so that there would be more
structural support underneath the deck, taking advantage of the 3 inches that we could have had
there. In our actual bridge design, we did not have any form of structure underneath the deck. I
think we would also use more struts and lateral bracing towards the ends of the bridge because
13
Spring 2013
that may have helped with the failure of the one corner of our bridge, as shown in the picture.
Figure 4
Failure Points
11.0 Conclusions and Recommendations.
Throughout this project and assignment, we were able to come up with an average bridge
design that uses minimal materials and will be economically efficient. We definitely learned
about estimating needed materials, as we did not do this well at all. We also learned and believe
that lateral bracing could have done wonders for our bridge design. We could also add structural
support underneath our deck of our bridge, as we had none. This would have greatly improved
our decks condition and given us a lot more load capacity.
12.0 References.
12.1 ANGEL/Lessons/Design Project #1/EDSGN100_Bridge
Building_SOW_Sp2013.doc.
12.2 ANGEL/Lessons/Design Project #1/Final Design Report/EDSGN100_Bridge
Building_Specifications_Sp2013.doc.
12.3 ANGEL/Lessons/Design Project #1/Final Design Report/EDSGN100_Stick
Weights_Sp2013.xlsx.
12.4 ANGEL/Lessons/Design Project #1/Final Design Report/EDSGN100_Bridge
Competition_Sp2013.xlsx.
14
Spring 2013
12.5 West Point Bridge Designer (2011). Developed by Colonel Stephen Ressler,
Department of Civil and Mechanical Engineering, U.S. Military Academy, West Point, NY
<http://bridgecontest.usma.edu/download2011.htm>.
12.6 Virtual Laboratory: Bridge Designer. Johns Hopkins University, Baltimore, MD
<http://www.jhu.edu/virtlab/bridge/bridge.htm>.
http://teachers.sduhsd.net/delliott/FilesPOE/WP%20FF%20Bridges/common%20truss%20bridges.gif
15
Spring 2013