A Probabilistic Model of the Unidirectional Tensile Strength of Fiber-Reinforced Polymers for Structural Design

Table 2

Statistics for the datasets and OSL for Normal, Lognormal, and Weibull distributions.

Data set no.	Sample size	Fiber type	c.o.v.	OSL
				N	LN	W
1	7	Glass	0.048	0.466	0.487	0.243
2	5	Glass	0.050	0.400	0.411	0.177
3	6	Glass	0.058	0.503	0.474	0.596
4	13	Carbon	0.045	0.254	0.319	0.049
5	36	Carbon	0.040	0.195	0.252	0.017
6	29	Glass	0.057	0.699	0.622	0.589
7	25	Carbon	0.070	0.176	0.081	0.724
8	20	Carbon	0.060	0.136	0.079	0.681
9	36	Carbon	0.094	0.155	0.028	0.557
10	49	Glass	0.100	0.338	0.152	0.333
11	30	Carbon	0.055	0.596	0.527	0.522
12	31	Carbon	0.111	0.583	0.570	0.144
13	21	Carbon	0.104	0.469	0.317	0.793
14	48	Carbon	0.157	0.654	0.495	0.221
15	24	Carbon	0.090	0.353	0.200	0.801
16	30	Carbon	0.094	0.500	0.571	0.153
17	6	Carbon	0.052	0.694	0.665	0.773
18	7	Carbon	0.030	0.413	0.427	0.286
19	7	Carbon	0.041	0.552	0.569	0.458
20	7	Carbon	0.026	0.356	0.328	0.695
21	7	Carbon	0.061	0.584	0.568	0.618
22	7	Carbon	0.050	0.448	0.410	0.667
23	8	Glass	0.037	0.558	0.527	0.772
24	14	Glass	0.045	0.524	0.501	0.540
25	20	Carbon	0.068	0.025	0.009	0.278
26	20	Glass	0.039	0.140	0.138	0.113
27	19	Carbon	0.064	0.181	0.129	0.536
28	6	Glass	0.037	0.177	0.167	0.203
29	5	Glass	0.048	0.697	0.685	0.663
30	5	Glass	0.026	0.619	0.632	0.288
31	5	Glass	0.052	0.055	0.050	0.014
32	5	Glass	0.051	0.783	0.790	0.638
33	5	Glass	0.056	0.734	0.726	0.635
34	30	Glass	0.074	0.113	0.195	0.009
35	30	Glass	0.130	0.198	0.120	0.302
36	24	Glass	0.102	0.142	0.147	0.136
37	24	Glass	0.077	0.142	0.260	0.008
38	30	Glass	0.069	0.757	0.684	0.699
39	5	Glass	0.003	0.400	0.399	0.329
40	5	Glass	0.008	0.795	0.796	0.610
41	5	Glass	0.010	0.511	0.513	0.317
42	5	Glass	0.026	0.717	0.716	0.594
43	5	Glass	0.008	0.550	0.551	0.347
44	30	Carbon	0.043	0.049	0.040	0.115
45	20	Carbon	0.047	0.122	0.188	0.006
46	20	Carbon	0.047	0.021	0.020	0.021
47	7	Glass	0.025	0.525	0.544	0.307
48	60	Carbon	0.058	0.615	0.562	0.272
49	9	Glass	0.072	0.027	0.018	0.123
50	8	Glass	0.065	0.440	0.370	0.748
51	10	Glass	0.074	0.510	0.487	0.628
52	9	Glass	0.057	0.551	0.603	0.389
53	8	Glass	0.032	0.433	0.433	0.470
54	8	Glass	0.048	0.169	0.182	0.098
55	72	Carbon	0.180	0.001	0.003	0.001
56	58	Carbon	0.189	0.088	0.048	0.113
57	59	Carbon	0.093	0.360	0.185	0.522
58	67	Carbon	0.083	0.476	0.326	0.302
Average			0.063	0.392	0.367	0.384
c.o.v.			0.038	0.233	0.234	0.255

^∗Some of the experimental data displayed were digitized using graphs obtained from the respective references; thus, a small systematic error could be present. Values of OSL < 0.05, for which the null hypothesis is rejected, are underlined.