Weibull distribution for the strength distribution of brittle

Weibull distribution for the strength distribution of brittle materials

Weibull distribution for the strength distribution of brittle materials

Weibull distribution for the strength distribution of brittle materials (P. 9) The strengths of 10 nominally identical ceramic bars were measured and found to be 387, 350, 300, 420, 367, 410, 340, 350, and 310 MPa. (a) Determine m and o for this material using Weibull plot. (b) Calculate the design stress that would ensure a survival probability higher than 0. 999. (Excel)

Weibull distribution for the strength distribution of brittle materials (HW 4) No Failure stress (MPa) Material A (polished surface) Material B (non-polished surface) 1 13. 49 4. 55 2 12. 58 3 No Failure stress (MPa) Material A (polished surface) Material B (non-polished surface) 11 8. 78 5. 00 5. 02 12 9. 89 4. 94 7. 55 5. 14 13 9. 42 5. 21 4 8. 14 5. 01 14 10. 69 5. 35 5 8. 42 5. 07 15 8. 50 4. 92 6 7. 12 5. 46 16 9. 80 5. 14 7 12. 84 4. 27 17 11. 50 5. 14 8 13. 04 4. 38 18 10. 59 4. 71 9 12. 38 5. 07 19 9. 78 4. 31 10 8. 32 5. 09 20 8. 73 4. 67 (a) Compare m and o for these materials using Weibull plot. (b) Calculate the design stress that would ensure a survival probability higher than 0. 8. (c) Why does the different quality of polished surface effect the probability of failure of these materials.