Background
Testing Results
Engineering Design Lab goals for this term were
to learn and to build a bridge with the smallest cost to strength ratio.
Therefore, the bridge had to be as cheap as possible while still being able to
hold the most amount of weight. To simulate this idea, the bridge had to be
built at a smaller scale. To accomplish this goal, various tools were given.
Beginning with a computer program called West Point Bridge Design. West Point
Bridge Designer allowed maximum force on the bridge until the point where the bridge
would break. It seemed as if the failure point was exaggerated. The next resource
given was Knex. Using the Knex, a couple small scale bridges were to be built
with different constraints. The first one had to be 24'' in span, and the final
design had to be 36'' in span with a hollow gap of 2'' high and 3'' wide.
Design Process
In the beginning, our goal was to construct a
serviceable bridge that has a low cost to weight ratio while still satisfying
all the design constraints. Throughout the term the goals became more personal. We did not just want to build the bridge as part of the competition, but to see how well we could complete the task. It became a personal challenge. We first used WPBD to design a bridge that is
strong enough so that the truck can pass through. Then in order to meet our
goal, we either took out unnecessary chords and connectors or replace the
longer chords with a couple shorter ones to make the bridge as cheap as
possible. Then as we were actually building the bridge using Knex pieces, we
realized that making the bridge as cheap as possible might lead to bridge that
is not as strong as it could be. Meanwhile, we learned Method of Joints(MOJ)—a way
to calculate the tension and compression forces acting on each of the chords.
That was a very helpful technique because it not only show the forces, but it
also allowed us to predict the failure point—which most likely be the chords
that have the most forces. Other than MOJ, online Bridge Designer was also
helpful since it automatically calculated the forces on every single chord so
we can modify the chords that have small forces and make the bridge stronger as
a whole. Before we started to pick the design for our final bridge, we looked
back to all the individual projects with WPBD and Knex Bridge Designs as a
reference. As a group, we brainstormed together on what general shape the
bridge design should take and we tried to combine some of the old designs
together. That did not work out well, so we ended up making a whole new design
using a WPBD and online Bridge Designer. First, we made the design on WPBD to
estimate the cost and to make sure that it doesn’t break at any point. Then we
used online Bridge Designer to make sure that we met the minimal requirement of
chord to connector ratio. On top of that, we can modify the bridge with the
calculated forces and replace cheaper chords on the ones that have small forces
on them. After all that, our bridge ended up costing $409,000 and we predicted
that it would hold about 35 pounds of loads.
Final Bridge Design
Cost Breakdown |
The final design of our bridge cost $409,000.00 and used 423 pieces. It was a little over 3 feet long and met all the constraints presented.
Testing Results
Video of Bridge Testing At Failure Point
Our bridge held much less than we estimated. The load of failure was 30.2 pounds, while we estimated the failure to be at about 35 pounds. The closer we got to our fail point the more the bridge started to bend in the middle. It happened so slowly we did not notice it at first. Then suddenly the middle started coming apart and the bridge snapped in half and collapsed. Our estimated load of failure was 35 pounds, and at the rate that we had been going we thought we were going to make it until the bridge suddenly collapsed.
Conclusion
Our group came into lab week 9 with the hope that our bridge would be able to carry a load of 35 lbs. After a disappointing performance during lab in week 8, where our bridge was only able to hold 17.2 lbs of load, we had confidence that our new modifications would be able to turn things around. When it was our turn to begin applying the load onto our bridge we could already tell that by the amount of sand already in our bucket, we were doing much better than before. After a couple of minutes of applying more sand, our bridge finally snapped right through the middle. The final amount of weight that our bride held was 30.2 lbs. We fell about 5 lbs short of our goal, but it was definitely an improvement from the week before even with the added bridge costs taken into account. The final cost of our bridge was $409,000 with a cost of $13,344 per pound.
In terms of failure mode, our bridge collapsed in the middle as predicted, but the actual members that caused it to fail was unexpected . Our bridge had a consistent pattern throughout the bridge, and each section of the bridge felt equally sturdy. Since the load applied to the bridge was located right at the center of the bridge, the failure mode was expected to be right in the middle of the bridge. What was unusual about the collapsing of our bridge was that it happened unexpectedly. During loading, our bridge only bent slightly, and its position seemed unchanged for a while until it collapsed. After the collapsing of our bridge, we analyzed it and saw that the forces applied on our final design was equally distributed on both sides, and that is why we felt that it would be durable enough to reach our goal of 35 lbs. Unfortunately, the symmetry may be what made it so that we were unable to reach our goal; there needed to be more support in the middle.
Future Work
If we had the opportunity to modify
our bridge one more time, we would have more support in the middle of the
bridge. Throughout all of the bridges we built this was where the bridge
snapped because of the amount of force exerted on the small area. We would also
focus on trying to make the bridge cheaper. With the proper modifications we
could make it so that the bridge is more cost efficient as well as able to
support more weight.