# SS-V: 1080 Scordelis-Lo Roof

Test No. VS09Find the maximum Z displacement for a curved cylindrical dome.

## Definition

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/m^{2} in -Z direction.*

**Parameters****Value**- L
- 50m
- R
- 25m
- t
- 0.25m

**Properties****Value**- Modulus of Elasticity
- 4.32e+8
- Poisson's Ratio
- 0.0

## 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
m^{2}. To get -90 N/m^{2}, 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.