Handed Out: 3/5/98
Due: 3/12/98
Consider a square plate made up of a single ply of AS4/3501-6 Graphite Epoxy, 0.08" thick. The plate is 5" x 5", simply supported, and is subjected to a side loading of 5 psi. Use the energy method, or any other convenient method, to analyze the following problems. Find the deflection w as a function of x and y to reasonable accuracy. Sketch or plot.
1. The material is aligned with the plate geometry, as shown below. Hint: use the 1,1 and 1,3 modes.
2. The material is rotated 45° w.r.t. the plate geometry as shown: Hint: use the 1,1 and 2,2 modes.
The properties you need are attached; I also saved you some work and did the rotation of the Q matrix for you.
ENGINEERING CONSTANTS FOR MATERIAL AS4/3501-6 (psi)
EL 2.060E+07 ET 1.420E+06
v 3.000E-01 G 8.700E+05
Q MATRIX FOR 0 DEGREE PLY:
2.0729E+07 4.2866E+05 0.0000E+00
4.2866E+05 1.4289E+06 0.0000E+00
0.0000E+00 0.0000E+00 8.7000E+05
Q MATRIX FOR 45 DEGREE PLY:
6.6237E+06 4.8837E+06 4.8249E+06
4.8837E+06 6.6237E+06 4.8249E+06
4.8249E+06 4.8249E+06 5.3250E+06