Tapered Geometry - Gravity Loading

Determine the stress at B of a tapered geometry constrained along the inner edge AC and subjected to the following loading conditions along the outer edge DE:

Study A. Uniform acceleration of 9.81 m/s2 in global x direction (gravity): Tapered Membrane.

Study B. Uniform acceleration of 9.81 m/s2 in global y direction (gravity): Tapered Cantilever.

Study C. Uniform acceleration of 9.81 m/s2 in global z direction (gravity): Tapered Plate.

All dimensions are in m.

File Name

Open drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\NAFEMS_IC2_4_11.SLDPRT.

Study Type

Static

Mesh Type

Shell mesh

Shell Parameters

Shell thickness = 0.1 m - Thin 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 B Reference SOLIDWORKS Simulation
Study A SX 0.247 MPa 0.245 MPa
Study B TXY -0.2 MPa -0.198 MPa
Study C SX (top surface) 26 MPa 25.8 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.