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Ultimately, to increase the safety factor, we chose to increase reduce the cut width by a factor of 2. Simulation results are below.

 

Flight 1

Due to manufacturing constraints, only 4 of the mass saving cuts were implemented. This design did not fair well in shipping, future teams are suggested to place the diaphragm and a similar feature in the cup for travel.

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Resources

NASA, Buckling of Thin-Walled Circular Cylinders