$-------------------------------------------------------------------------------
$            RIGID FORMAT No. 14, Static Analysis with Cyclic Symmetry
$                  Circular Plate Using Cyclic Symmetry (14-1-1)
$ 
$ A. Description
$ 
$ A constant thickness circular plate with six radial stiffeners and a central
$ hole is analyzed using dihedral symmetry. The plate is subjected to a uniform
$ pressure load applied over a 60 degree segment of the plate.
$ 
$ The stringers are 60 degrees apart but only 30 degrees of the structure needs
$ to be modeled when using the dihedral symmetry option. There are 12 subcases
$ since these are 2 half segments in a 60 degree segment and only one loading
$ condition. The CYJOIN bulk data card defines those points in the middle of the
$ segment (SIDE 2) and those points on the boundary between segments (SIDE 1).
$ 
$ B. Input
$ 
$ 1. Parameters:
$ 
$    R  =  1.0        (outside radius)
$     o
$ 
$    R  =   .14       (inside radius)
$     i
$ 
$    t  =   .01       (plate thickness)
$ 
$    a  =   .06       (height and width of stiffeners)
$ 
$                  6
$    E  = 10.6 x 10   (modulus of elasticity)
$ 
$    v  =   .325      (Poisson's ratio)
$ 
$ 2. Boundary Conditions:
$ 
$    U  = U      = theta  = 0   (all points)
$     r    theta        z
$ 
$    U  = theta  = 0            (along r = 1.0)
$     z        r
$ 
$ 3. Applied loads:
$ 
$    Pressure = 200.0 between theta = 60 degrees and 120 degrees
$ 
$ 4. Cyclic symmetry parameters:
$ 
$    CTYPE  = DRL
$ 
$    KMAX   = 2
$ 
$    NSEGS  = 6
$ 
$    NLOAD  = 1
$ 
$ C. Results
$ 
$ The structure can be analyzed using rotational symmetry or dihedral symmetry
$ described here and the results will be identical.
$ 
$ The results for the normal displacements are given in Table 1 for r = 0.46.
$ 
$     Table 1. Displacements of Circular Plate Under Pressure Load at r = 0.46
$                         --------------------------------
$                                     DIHEDRAL
$                                      METHOD
$                                   ------------
$                         theta     Subcase Grid     Value
$                         --------------------------------
$                           0         1       30     1.365
$                          15         1       31     1.379
$                          30         1       32
$                                     2       32
$                          45         2       31     1.412
$                          60         2       30
$                                     3       30     1.430
$                          75         3       31     1.464
$                          90         3       32
$                                     4       32     1.484
$                         105         4       31
$                         120         4       30
$                                     5       30     1.430
$                         135         5       31     1.412
$                         150         5       32
$                                     6       32     1.396
$                         165         6       31     1.379
$                         180         6       30
$                                     7       30     1.365
$                         195         7       31     1.359
$                         210         7       32
$                                     8       32     1.354
$                         225         8       31     1.349
$                         240         8       30
$                                     9       30     1.345
$                         255         9       31     1.344
$                         270         9       32
$                                    10       32     1.345
$                         285        10       31     1.344
$                         300        10       30
$                                    11       30     1.345
$                         315        11       31     1.349
$                         330        11       32
$                                    12       32     1.354
$                         345        12       31     1.359
$                         360        12       30     1.365
$-------------------------------------------------------------------------------
