Research Article
A Probabilistic Model of the Unidirectional Tensile Strength of Fiber-Reinforced Polymers for Structural Design
Table 5
The 5th percentile characteristic value with a 75% confidence level.
| Set no. | Sample size | Fiber type | | | N | LN | W | N | LN | W |
| 1 | 7 | Glass | 0.899 | 0.904 | 0.854 | 0.971 | 0.973 | 0.956 | 2 | 5 | Glass | 0.890 | 0.895 | 0.860 | 0.960 | 0.964 | 0.947 | 3 | 6 | Glass | 0.876 | 0.880 | 0.865 | 0.960 | 0.963 | 0.954 | 4 | 13 | Carbon | 0.912 | 0.916 | 0.863 | 0.982 | 0.984 | 0.972 | 5 | 36 | Carbon | 0.928 | 0.930 | 0.897 | 0.992 | 0.992 | 0.988 | 6 | 29 | Glass | 0.894 | 0.897 | 0.868 | 0.986 | 0.987 | 0.982 | 7 | 25 | Carbon | 0.869 | 0.872 | 0.854 | 0.981 | 0.982 | 0.978 | 8 | 20 | Carbon | 0.887 | 0.889 | 0.878 | 0.981 | 0.983 | 0.980 | 9 | 36 | Carbon | 0.829 | 0.831 | 0.811 | 0.978 | 0.981 | 0.977 | 10 | 49 | Glass | 0.821 | 0.827 | 0.797 | 0.980 | 0.983 | 0.978 | 11 | 30 | Carbon | 0.900 | 0.902 | 0.876 | 0.987 | 0.988 | 0.983 | 12 | 31 | Carbon | 0.797 | 0.808 | 0.746 | 0.971 | 0.976 | 0.965 | 13 | 21 | Carbon | 0.806 | 0.815 | 0.777 | 0.966 | 0.972 | 0.962 | 14 | 48 | Carbon | 0.717 | 0.740 | 0.659 | 0.964 | 0.973 | 0.961 | 15 | 24 | Carbon | 0.833 | 0.839 | 0.813 | 0.974 | 0.977 | 0.971 | 16 | 30 | Carbon | 0.827 | 0.837 | 0.786 | 0.976 | 0.979 | 0.971 | 17 | 6 | Carbon | 0.889 | 0.893 | 0.866 | 0.964 | 0.967 | 0.955 | 18 | 7 | Carbon | 0.938 | 0.940 | 0.912 | 0.983 | 0.984 | 0.974 | 19 | 7 | Carbon | 0.915 | 0.918 | 0.881 | 0.975 | 0.977 | 0.964 | 20 | 7 | Carbon | 0.945 | 0.946 | 0.940 | 0.985 | 0.985 | 0.982 | 21 | 7 | Carbon | 0.872 | 0.878 | 0.838 | 0.962 | 0.966 | 0.950 | 22 | 7 | Carbon | 0.896 | 0.899 | 0.889 | 0.970 | 0.972 | 0.966 | 23 | 8 | Glass | 0.925 | 0.927 | 0.910 | 0.980 | 0.981 | 0.975 | 24 | 14 | Glass | 0.912 | 0.914 | 0.893 | 0.983 | 0.984 | 0.979 | 25 | 20 | Carbon | 0.871 | 0.873 | 0.857 | 0.979 | 0.980 | 0.976 | 26 | 20 | Glass | 0.926 | 0.928 | 0.913 | 0.988 | 0.989 | 0.986 | 27 | 19 | Carbon | 0.879 | 0.882 | 0.857 | 0.979 | 0.981 | 0.975 | 28 | 6 | Glass | 0.922 | 0.924 | 0.915 | 0.975 | 0.977 | 0.971 | 29 | 5 | Glass | 0.895 | 0.898 | 0.880 | 0.962 | 0.965 | 0.955 | 30 | 5 | Glass | 0.942 | 0.944 | 0.911 | 0.980 | 0.981 | 0.967 | 31 | 5 | Glass | 0.885 | 0.887 | 0.912 | 0.959 | 0.961 | 0.966 | 32 | 5 | Glass | 0.888 | 0.894 | 0.849 | 0.960 | 0.964 | 0.943 | 33 | 5 | Glass | 0.877 | 0.882 | 0.842 | 0.955 | 0.960 | 0.940 | 38 | 30 | Glass | 0.873 | 0.878 | 0.845 | 0.983 | 0.985 | 0.979 | 39 | 5 | Glass | 0.994 | 0.994 | 0.992 | 0.998 | 0.998 | 0.997 | 40 | 5 | Glass | 0.981 | 0.982 | 0.973 | 0.994 | 0.994 | 0.990 | 41 | 5 | Glass | 0.977 | 0.977 | 0.966 | 0.992 | 0.992 | 0.988 | 42 | 5 | Glass | 0.943 | 0.944 | 0.923 | 0.980 | 0.981 | 0.972 | 43 | 5 | Glass | 0.983 | 0.983 | 0.976 | 0.994 | 0.994 | 0.991 | 44 | 30 | Carbon | 0.921 | 0.922 | 0.910 | 0.990 | 0.990 | 0.988 | 45 | 20 | Carbon | 0.911 | 0.915 | 0.861 | 0.986 | 0.987 | 0.977 | 46 | 20 | Carbon | 0.912 | 0.914 | 0.901 | 0.986 | 0.987 | 0.984 | 47 | 7 | Glass | 0.947 | 0.949 | 0.921 | 0.985 | 0.986 | 0.977 | 48 | 60 | Carbon | 0.896 | 0.899 | 0.869 | 0.990 | 0.991 | 0.988 | 49 | 9 | Glass | 0.856 | 0.856 | 0.876 | 0.962 | 0.965 | 0.967 | 50 | 8 | Glass | 0.867 | 0.870 | 0.862 | 0.963 | 0.967 | 0.961 | 51 | 10 | Glass | 0.853 | 0.860 | 0.828 | 0.964 | 0.968 | 0.957 | 52 | 9 | Glass | 0.885 | 0.891 | 0.841 | 0.971 | 0.974 | 0.958 | 53 | 8 | Glass | 0.935 | 0.937 | 0.920 | 0.983 | 0.984 | 0.978 | 54 | 8 | Glass | 0.902 | 0.905 | 0.879 | 0.974 | 0.976 | 0.966 | 55 | 72 | Carbon | 0.682 | 0.725 | 0.612 | 0.966 | 0.977 | 0.963 | 56 | 58 | Carbon | 0.663 | 0.695 | 0.631 | 0.959 | 0.971 | 0.961 | 57 | 59 | Carbon | 0.834 | 0.841 | 0.808 | 0.984 | 0.986 | 0.982 | 58 | 67 | Carbon | 0.853 | 0.859 | 0.821 | 0.987 | 0.988 | 0.984 | Average | 0.884 | 0.889 | 0.861 | 0.977 | 0.979 | 0.971 | c.o.v. | 0.065 | 0.059 | 0.074 | 0.011 | 0.010 | 0.013 |
|
|