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256 Finite Element Modeling and Simulation with ANSYS Workbench

E = 200 GPa, and Poisson’s ratio ν = 0.3. The bar is fixed at the left end. Compare
the FEA results between the 3-D and 1-D models.

F
2R 1 R 2

L

7.2 An open cylinder shown below has an inner radius a = 1 m, outer radius
b = 1.1 m, length L = 10 m, and is applied with a pressure load p = 10 GPa on the
inner surface. Compute the stresses in the cylinder using shell and solid mod-
els. Compare the FEA results based on these models. Assume Young’s modulus
E = 200 GPa and Poisson’s ratio ν = 0.3.

a
b L

7.3 For the rotating part sketched below, assume that it is made of steel with Young’s
3
modulus E = 200 GPa, Poisson’s ratio ν = 0.3, and mass density ρ = 7850 kg/m .
Assume that the part is rotating at a speed of 100 RPM about the z axis. Ignore
the gravitational force. Compute the deformation in the part using the FEA
with a full 3-D model. Compare the 3-D results with the axisymmetric model-
ing results obtained in Problem 5.4.

z

12 mm

5 mm 8 mm 30 mm 50 mm

30 mm 16 mm

7.4 The following figure shows a simple bracket made of structural steel with
Young’s modulus E = 200 GPa and Poisson’s ratio ν = 0.3. The bracket has a
cross-section profile shown below and an extrusion depth of 12 cm. A through-
hole of diameter 1.5 cm is centered on the bracket’s flat ends, one on each side,
as shown in the figure. Suppose that the bracket is fixed on the bottom, and