Axisymmetric Cylinder Sphere under Internal Pressure

Determine the hoop stress at point B of the axisymmetric cylinder sphere subjected to a uniform internal pressure of 1 MPa. All dimensions are in m. The radius of the sphere and cylinder are both 1m. Point B is located ~0.1m below the junction between the cylinder and the sphere.

File Name

Open drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\NAFEMS_IC39.SLDPRT.

Study Type

Static

Mesh Type

Shell mesh. Use a draft quality standard mesh with global element size of 0.03 m.

Shell Parameters

Shell thickness = 0.025 m - Thin shell formulation

Modeling Hints

Owing to axisymmetric conditions, analyze only a quarter of the model. Apply symmetry boundary conditions appropriately along edges ABC and the edge opposite to ABC.

Material Properties

  • Modulus of elasticity (E) = 210 GPa
  • Poisson's ratio (ν) = 0.3
  • Density (ρ) = 7000 kg/m3

Results

Stress component at B Reference SOLIDWORKS Simulation
SY (with respect to reference Axis1) 38.5 MPa 38.5 MPa

Reference

NAFEMS Publication P07, The International Association for the Engineering Analysis Community, "Linear Statics Benchmarks VOL. 1", D. Hitchings, A.Kamoulakos, G.A. Davies, VOL. 1, October, 1987.