Final Bridge Design on Bridge Designer, a Pratt Through Truss design means the truss design is over the top of the bridge
Our assignment on Bridge Designer was to build and test a bridge following a list of specific requirements that was given to us. It was tricky and took numerous tries to make a functional bridge that fit all of the requirements, but we were eventually successful. The final bridge design successfully supported the live load in the simulation and also passed all of the test requirements for the forces on each member of the bridge. After completing the virtual bridge, we had to calculate the net forces on the bridge, which means we had to calculate the compression and tension forces on each joint of the bridge.
Deck 12 meters above water
Standard abutments
No Pier
No cable anchorages
Medium strength concrete
Standard two lanes
Pratt Through Truss
Carbon steel components
Compression force/strength ratio cannot exceed .40 (+/-.01)
Tension force/strength ratio cannot exceed .45 (+/-.01)
15% of bridge of members hollow tubes (+/- 1%)
Lowest possible cost
Video of the bridge functioning during the load test, bridge is successful!
chart showing the results of the load test simulation (compression and tension force to strength ratios)
chart showing the results of the load test simulation (compression and tension forces and strengths)
These test results reveal that the bridge successfully passes the load test in the virtual simulation while also fitting all of the requirements set by the guidelines for the activity. All of the bridge's members have a compression force/strength ratio of 0.40 (+/- 0.01) and a tension force/strength ratio of 0.45 (+/- 0.01). Because 4/29 members are hollow, this completes the requirement that about 15% of the members are hollow tubes. To complete the goal of the lowest possible price, sizing down some of the members with the least stress forces and making some members hollow allowed us to get the price of the bridge down to $296,851.05. Overall, this virtual bridge was successful because it was able to support a live load and the load test results revealed that the bridge fit all of the requirements for the activity.
first page of net force calculations on each joint of the bridge, including bridge joint and members sketch and stability equation
second page of net force calculations on each joint of the bridge
These are the calculations of the net force on each joint of the bridge. In order to calculate this, I needed to know the compression and tension forces on each member and also the angles of each joint. The bridge in the simulation includes 45-45-90 triangles, so the calculations included the sine and cosine of 45 degrees, which is approximately 0.7071. When doing the calculations, the assignment required that the forces for each joint had to be separately calculated using the X and Y axes. When the forces were calculated for the X axis, the cosine of 45 degrees was included in the calculation. When the forces were calculated for the Y axis, the sine of 45 degrees was included in the calculation. To calculate each force on the joint, I added/subtracted the compression and tension forces on each member included in the joint and multiplied some of the forces with 0.7071 for the members that were diagonal and not directly horizontal or vertical. I did this twice for each joint depending on which members were part of the X axis calculations and which ones were part of the Y axis calculations. Once I had the force of both the X and Y axis, I added those together to find the net force on the joint. I did this 16 times overall because the bridge had 16 joints.