Question

Find the mean, x , and the standard deviation, σ, of the fracture strength of KT-SiC tabulated in Table 12.1. Interpret the physical meaning of the standard deviation that you have computed.

Table 12.1 Fracture strength of silicon carbide in 4-pont bending tests Order Ordered fracture strengthSurvival OrderOrdered fracture Survival (ksi) probability, R 0.9678 0.9355 0.9032 0.8710 o.8387 0.8065 0.7742 0.7419 0.7097 0.6774 o.6451 o.6129 O.5806 0.5484 0.5161 strength (ksi) probability, R 0.4838 0.4516 0.4194 0.3871 0.3548 0.3226 0.2903 0.2581 0.2258 0.1935 o.1613 0.1290 0.0968 o.0645 0.0323 15.28 15.35 16.96 17.15 17.65 6 17.85 18.08 8 18.17 18.36 10 18.39 11 18.43 12 18.45 13 18.50 14 18.63 15 18.65 1618.67 1718.86 1819.04 19 19.30 2019.57 21 19.59 22 19.72 23 19.96 24 20.26 25 20.68 26 21.11 27 21.18 2821.31 29 21.55 30 21.57 2 3 4 (Hsu and Gillespie, 1971.) Survival probability R-1- i/(n+1) where i is the order number and n - total number of specimens 30

Answer 1

0.968 15. 5.55 12,902 3.928 0,903 6.96 115 台 14.65 0 , 8387 .8065 1142 3.419 8.940339 1-19之 T.85 08 G$556 G. 305 0262 8.39 36451 0.195 3:5206 3.50 5404- 8.5 86t 0.516 0.0061 G.4516 G. 41G g.04 4.50 1g 3-394 C- 0-261 20 6835 3 5.008 5 60 6 .9GV . 0q68 GG645 1.3 q0G G.906 0.03 3 3 n~る。 ·606 Yi-T) Standand dation SD REDMI NOTE 5 PRO MI DUAL CAMERA 118-942±1-61 KSI. Moximum