1. FEM Analysis of the Stage3 Support Frame H.M. Fan March 14, 2007

2. Shell-support interfaces Inboard shell type C Outboard shell type C Outboard shell type A FEA Model Support frame

3. FEA Assumptions Linear analysis Not including clamps in the model Weight of clamp was added to the weight of modular coil Constraints at four bottom pads of the support frame Material properties:

4. Un-deformed shape with scale of deformation = 468 Total Displacement The inboard displacements are higher than the outboard displacements. Unit of Displacement is meter (0.015”) (0.0034”) (0.0051”)

5. Vertical Displacement The maximum downward displacement occurs at the inboard region of the shell type A. Unit of Displacement is meter

6. Scale of Displacement = 400 Vertical Displacement of Support Frame It is better to rotate the column 90° or to add stiffeners below the beam. add a stiffener here - The plots show the deformed and un-deformed shapes

7. Maximum stress von Mises Stress Stresses in the MCWF are small. The peak stress (~2 ksi) occurs at the outboard leg of the shell type A. The max. von mises stress in the support frame (9.98 ksi) locates in the horizontal frame underneath the inboard column. Unit of stress is pascal

8. Inboard shell type C Outboard shell type A Outboard shell type C Contact Pressure at Shell-Support Interfaces Unit of stress is pascal - The contact pressures are not uniform on the contact surfaces

9. Forces on Top of Column Supports Forces and moments are shown in the global coordinate system: The calculated dead weight of MC and MCWF is 19.52 kips. If the actual measured dead weight is greater than that, all the calculated stresses, forces, and displacements can be reasonably increased by the same ratio. Inboard column under shell type C has the highest axial load and the bending moments.

10. W6X25Ix = 53.3 in^4 Sx = 16.7 in^3 rx = 2.67 in Iy = 17.1 in^4 Sy = 5.62 in^3 ry = 1.53 in Column stress criteria are checked as follows: Column Design where:F a is the allowable axial stress in the absence of bending moment f a is the computed axial stress

11. Summation of total forces and moments at the base of the inboard column in the global coordinate system are: FX = - 445 N FY = - 233 N FZ = 44405 N MX = -332 m-N MY = 31 m-N MZ = -22 m-N orFX = - 100 lb FY = - 52 lb FZ = 9980 lb MX = -2.94 in-k MY = 0.27 in-k MZ = -0.20 in-k For ½ -13 UNC A307 bolt, Fy = 33 ksi, the allowable single shear load is 1.96 kip. Allowable tensile area is 0.1419 in 2 and the allowable bolt tension is 2.81 kip. Bolt stress X = 3” Y = 4” With bolt group as shown on the right, the maximum shear in the bolt is 0.03 kip, which is much smaller than the allowable shear 1.96 kip. The maximum tension in the bolt is 0.64 kips that also smaller than allowable tension.