Radial Loading of Circular Membrane

Determine the stress SY at D of a circular membrane with zero hoop displacements on edges AB and CD and subjected to the following loading conditions:

Study A. Uniform inward pressure of 100 MPa at outer edge BC.

Study B. Point load of 50 x 102 KN radially inward at point B.

File Name

Open drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\NAFEMS_IC5_6.SLDPRT.

Study Type

Static

Mesh Type

Shell mesh

Shell Parameters

Shell thickness = 1.0 m - Thick shell formulation

Material Properties

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

Results

Case Stress component at D Reference SOLIDWORKS Simulation
Study A SY 1150 MPa 1152.4 MPa
Study B SY 53.2 MPa 53.4 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.