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Boeing Gang Plank
Modeling
The panels are 72 inches long by 14 inches
wide constructed with 1.88 inch commercial grade aluminum honeycomb
core with 3/8 inch cell and .0025 inch faced with 5052-H32 aluminum
sheet of .040 inch thickness. The panel is capped on all sides
with edge stiffening beams of 2 x 1.5 x .0625 wall aluminum channel.

The panel was analyzed in two ways to determine
deflections and stresses. The first method used a finite difference
model of a flat plate to determine deflections. Symmetry in geometry
and loading allowed one quarter of the plate to be analyzed using
20 node points. The mathematical basis for this analysis is taken
from "S. Timoshenko, Theory of Plates and Shells."
The second method utilizes classical beam theory
for the determination of stresses in the faces and core.

Loading
Initially, a line load of 400 lbs. was
applied to the center of the span using both analysis methods.
Next, a 2000 lb. line load was applied to the finite difference
model. Finally, the beam model was used to determine the load
required to produce failure of the panel.
Summary
The 400 lb. live load predicts a maxium
deflection in the neighborhood of 0.200 inch. This is within the
0.25 inch requirement from Boeing. The safety factor for yielding
failure of the faces is 5.54.
The 2000 lb. load predicts a maximum deflection
of approximately 1.0 inch.
Yield failure of the faces is predicted under
a load of 2300 lbs. This is beyond the 2000 lb. required by Boeing.
This analysis predicts that the panel will perform
within the parameters set by the customer. If you have any questions,
feel free to contact us.
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