# 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/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.