Tapered Geometry - Edge 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. Uniformly distributed horizontal (x-direction) load of 10 MN/m (pressure of 100 MPa): Tapered Membrane.

Study B. Uniform surface shear traction of 100 MPa in the vertical y-direction: Tapered Membrane.

Study C. Uniform vertical shear 10 KN/m (pressure of 0.1 MPa) in the z-direction: Tapered Plate.

All dimensions are in m.

File Name

Open drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\NAFEMS_IC1_3_10.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 x 103 MPa
  • Poisson's ratio (ν) = 0.3
  • Density (ρ) = 7000 kg/m3

Results

Case Stress component at B Reference SOLIDWORKS Simulation
Study A SX 61.3 MPa 61.1 MPa
Study B TXY 26.9 MPa 27.0 MPa
Study C SX (bottom surface) -14.7 MPa -14.6 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.