P6.6. A [0/90/+45]s T-300 carbon fiber-epoxy laminate is subjected to the follow
ID: 2086996 • Letter: P
Question
P6.6. A [0/90/+45]s T-300 carbon fiber-epoxy laminate is subjected to the following in-plane loads: Nrx- 1000 lb/in., Ny.-200 lb/in., and Nxy500 lb/in. Each ply in the cured laminate is 0.006 in. thick. The basic elastic and ultimate properties of the material are as follows: E 20 x 106 psi, E2 1.3 x 10psi, G121.03 X 10° psi, v120.3, a.-0.0085, ??.c-0.0098, ?? 0.0045 ??'c 0.0090. and M.Ts 0.015. Using the maximum strain theory, determine whether any of the laminas in this laminate would fail at the specified load.Explanation / Answer
Given that,
Nxx = 1000 lb/in
Nyy = 200 lb/in
Nxy = -500 lb/in
T = 0.006 in
E11 = 20 x 106 Psi
E22 = 1.3 x 106 Psi
G12 = 1.03 x 106 Psi
V12 = 0.3
U =?
U = 1/ 2E [ Nxx2 + Nyy2 +Nxy2 - 2x0.3( NxxNyy + NyyNxy+NxyNxx)]
= 1/2 x 20 x 106 [ 10002 + 2002 + 5002 - 0.6( 1000x200 - 200x500 -500x1000)]
= 0.03
U for the next E value is
= 1/ 2 x 1.3 x 106 [ 10002 + 2002 + 5002 - 0.6( 1000x200 - 200x500 -500x1000)]
= 0.58
U for the next value of E
= 1/2 x 1.03 x 106 [ 10002 + 2002 + 5002 - 0.6( 1000x200 - 200x500 -500x1000)]
= 0.74
This would fail at the first set.
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