A village of Pikachu and Psyducks was hit by a horrible storm. This village is surrounded by mountains and the only way out left is to cross a river. Imagine you are an engineer in a rescue team, and your team has decided to construct a temporary bridge over the river to rescue the villagers. The two bridge stones on both sides of the river have been built, and the river is 10 meters wide. All Pikachu and Psyducks weigh 6 kg and 20 kg, respectively. a) You have selected tempered glass with a facture strength of 120 MPa that has a width of 1 meter and enough length to build the bridge. The manufacturer now awaits your decision on the thickness of the glasses. If the maximum number of Pikachu and Psyducks simultaneously on the bridge is respectively 50 and 20, what is the minimum thickness in millimeters required for the safe crossing of the villagers? (Hint, you can assume all weights only exert a single force at the center of the bridge, don’t overthink this problem!) b) If the Young’s modulus of this glass is 70 GPa, sketch the stress-strain curve that you would expect for this bridge. Label all important points.
A village of Pikachu and Psyducks was hit by a horrible storm. This village is surrounded by mountains and the only way out left is to cross a river. Imagine you are an engineer in a rescue team, and your team has decided to construct a temporary bridge over the river to rescue the villagers. The two bridge stones on both sides of the river have been built, and the river is 10 meters wide. All Pikachu and Psyducks weigh 6 kg and 20 kg, respectively.
a) You have selected tempered glass with a facture strength of 120 MPa that has a width of 1 meter and enough length to build the bridge. The manufacturer now awaits your decision on the thickness of the glasses. If the maximum number of Pikachu and Psyducks simultaneously on the bridge is respectively 50 and 20, what is the minimum thickness in millimeters required for the safe crossing of the villagers? (Hint, you can assume all weights only exert a single force at the center of the bridge, don’t overthink this problem!)
b) If the Young’s modulus of this glass is 70 GPa, sketch the stress-strain curve that you would expect for this bridge. Label all important points.
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