LIST OF TABLES
Table pg
4-1 Transverse strains calculated for conditions corresponding to the onset of matrix-
cracking in the 900 plies of a quasi-isotropic (45/0/-45/90)2s in Aoki et al. (2000).33
4-2 Transverse strains of an angle-ply laminate (f 25)4S under the same loading
condition as Table Al .............. ...............34....
4-3 Strain allowables for IM600/133 at -4230F .............. ...............34....
4-4 Optimal laminates for different operational temperatures: E2u Of 0.01 10................. 37
4-5 Optimal laminates for temperature dependent material properties with EZu Of 0.0110
(optimized for 21 temperatures) .....__.._ ... ......_.._......_ ...........3
4-6 Optimal laminate for temperature dependent material properties allowing partial
matrix cracking: E2u Of 0.011 for uncracked plies and 0.0154 for cracked plies......39
4-7 Optimal laminates for reduced axial load ofl, 200 lb./inch by using load shunting
cables (equivalent laminate thickness of 0.005 inch) ....._____ ... ... ...._ ..........40
5-1 Strain allowablesa for IM600/133 at -4230F ........._. ...... .... ......._.........42
5-2 Coefficients of variation (CV) of the random variables ................. .........._ .....42
5-3 Range of design variables for analysis response surfaces .............. ............._..44
5-4 Quadratic analysis response surfaces of strains (millistrain) ................. ................44
5-5 Design response surfaces for probability of failure (Probability calculated by Monte
Carlo simulation with a sample size of 1,000,000) ................. .................4
5-6 Comparison of reliability-based optimum with deterministic optima. .............._......46
5-7 Refined reliability-based design [f6]s (Monte Carlo simulation with a sample size
of 10,000,000) .............. ...............47....
5-8 Comparison of probability of failure from MCS based ARS and CLT. ........._........47
5-9 Accuracy of MC S ................. ...............48.......... ....