Software Verification PROGRAM NAME: REVISION NO.:
SAP2000 2
EXAMPLE 4-002 ASOLID – THICK-WALLED CYLINDER PROBLEM DESCRIPTION In this example, a thick-walled cylinder under plane strain conditions is subjected to a 1 ksi internal pressure, as suggested in MacNeal and Harder 1985. A 10degree segment of the cylinder, 1 inch thick, with a 3-inch inner radius and a 9inch outer radius, is modeled using a 5x1x1 mesh. The radial displacement and the radial, tangential and longitudinal stress components at the inside face of the cylinder are compared with hand-calculated values. Note that radial displacement values are also published in MacNeal and Harder 1985. Six different models using four different Poisson’s ratios and two different meshes are considered in this example. The following table lists the models used. Model
Poisson’s Ratio
Mesh
A
0.3
5x1x1
B
0.49
5x1x1
C
0.499
5x1x1
D
0.4999
5x1x1
E
0.49
20 x 1 x 1
F
0.49
160 x 1 x 1
The incompatible bending modes option is used in all models. The Ux and Uy degrees of freedom are active for the analysis. All other degrees of freedom are inactive.
EXAMPLE 4-002 - 1