Test No. VNL08Find displacements of a hemispherical
shell loaded with inward and outward concentrated forces.
Definition
A hemispherical shell is loaded with inward and outward concentrated forces at point
A and point B, respectively. The hemisphere has an 18 degree hole at the top and the
quadrant of the hemisphere is modeled utilizing symmetric boundary conditions (Figure 1). Correspondingly, forces P shown in Figure 1 are acting on the quadrant. Displacement at points A and B are
to be determined for force values P = 40, 60, and 100 lbf.Figure 1.
The material properties are:
Properties
Value
Modulus of Elasticity
6.825e+7 psi
Poisson's Ratio
0.3
Results
Symmetry conditions were simulated via sliding boundary
conditions applied at faces coinciding with symmetry planes (Figure 2). Concentrated forces were applied in points of outer face of
the sphere (Figure 3). In order to eliminate rigid body motion along Z-axis a point
on the top of the sphere was constrained in Z-direction (Figure 4).
The following tables summarize the comparison
results.
