SS-V: 1080 Scordelis-Lo Roof
Test No. VS09 Find the maximum Z displacement for a curved cylindrical dome.
Definition
Figure 1.
The dome is supported on curved edges (Ux, Uz = 0) and unconstrained on straight edges. Due to symmetry, only 1/4 section was analyzed (Figure 1).
The load is -90N/m2 in -Z direction.*
The model parameters are:
- Parameters
- Value
- L
- 50m
- R
- 25m
- t
- 0.25m
The material properties are:
- Properties
- Value
- Modulus of Elasticity
- 4.32e+8
- Poisson's Ratio
- 0.0
Results
The following table summarizes the displacement results.
| Theory** | SimSolid | % Difference | |
|---|---|---|---|
| Maximum Z Displacement [m] | 3.0860E-01 | 3.1100E-01 | 0.78% |
*To determine the Z-load: Area of top face is 2*Pi*(R+.125)*(40/360)*25 = 438.514 m2. To get -90 N/m2, you need a total load of 438.514*90 = 39466.25704 N.
**The theoretical solution value of the Z displacement at the middle of the free edge is given as 0.3086, though many finite element codes converge to the smaller value of 0.3024.