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Plate and Shell Analyses 217
6.8 Consider a glass fish tank placed on a table, as shown in the figure. Using shell
elements, find the maximum displacement and von Mises stress in the tank
when the tank is full of water. Assume that the tank has a uniform thickness of
4 mm, E = 70 GPa, and ν = 0.17.
60 mm
100 mm
60 mm
6.9 A fuel tank, with a total length = 5 m, diameter = 1 m, and thickness = 0.01 m, is
shown below. Assume Young’s modulus E = 200 GPa and Poisson’s ratio ν = 0.3.
Using shell elements, find the deformation and stresses when the tank is applied
with an internal pressure p = 1 MPa and placed on the ground.
6.10 A bookshelf shown below is placed on the ground. Assume Young’s modulus
E = 13.1 GPa, Poisson’s ratio ν = 0.29, and the shelf thickness t = 6 mm. Using
shell elements, find the deformation and stresses when the bookshelf is applied
with a downward uniform pressure p = 500 N/m on the entire surface of the
2
bookshelf middle layer.
20 cm
20 cm
30 cm 50 cm 30 cm 30 cm
