Weibull analysis due in 24 hours (mechanical engineer)
Problem Statement
| Enter your name | |
| Enter your section number: | |
| YOUR_NAME_.xlsx | |
| There is one problem to work. On the "Worksheet with data set", do a Weibull analysis on the data given in the worksheet containing the data set. The analysis must show (1) your approach, (2) tables of your calculated stresses, (3) survival probabilities, (4) plots, properly labeled, used to determine the Weibull exponents, (5) the estimated values of the Weibull exponents, (6) values of the characteristic stresses obtained from your plots, (7) for each orientation, the difference between the calculated characteristic stress value and the value approximated by the stress-survival data in your tables, (8) comments on why there may be any difference in the values of the Weibull exponents. (9) Using the equation relating the stress and the experimental parameters, generate an equation to be used for the measurement uncertainty in the stress, i.e., determine the sensitivities and assume the associated parameter uncertainties are known. [You may use an equation editor or WORD to create the equation which you can then paste into the worksheet.] | |
Worksheet with data set
| Make sure you clearly label each part of your answer. | |||||||
| Fracture Data | Dimensions of ceramic tile: | ||||||
| Index | Glazed Side Up | Glazed Side Down | Width | 45.00 | mm | ||
| Load (N) | Load (N) | Thickness | 6.00 | mm | |||
| 1 | 525.0 | 715.2 | |||||
| 2 | 535.8 | 752.3 | Span used to hold the tile: | ||||
| 3 | 823.6 | 1217.9 | Span width | 75.00 | mm | ||
| 4 | 695.4 | 760.5 | |||||
| 5 | 620.6 | 570.2 | |||||
| 6 | 737.2 | 943.4 | |||||
| 7 | 578.9 | 790.9 | |||||
| 8 | 528.1 | 534.8 | |||||
| 9 | 769.7 | 855.7 | |||||
| 10 | 714.8 | 702.7 | |||||
| 11 | 892.4 | 686.4 | |||||
| 12 | 796.3 | 798.9 | |||||
| 13 | 820.2 | 812.9 | |||||
| 14 | 707.0 | 591.7 | |||||
| 15 | 775.1 | 580.8 | |||||
| 16 | 894.8 | 829.0 | |||||
| 17 | 558.8 | 784.7 | |||||
| 18 | 741.1 | 639.4 | |||||
| 19 | 676.6 | 1080.2 | |||||
| 20 | 555.1 | 810.5 | |||||
| 21 | 947.7 | 897.2 | |||||
| 22 | 656.7 | 830.9 | |||||
| 23 | 757.1 | 743.5 | |||||
| 24 | 603.0 | 806.6 | |||||
| 25 | 537.5 | 767.0 | |||||
| 26 | 462.8 | 616.0 | |||||
| 27 | 635.3 | 811.9 | |||||
| 28 | 514.9 | 492.0 | |||||
| 29 | 909.0 | 876.0 | |||||
| 30 | 705.0 | 771.8 | |||||
| 31 | 839.6 | 828.1 | |||||
| 32 | 595.3 | 830.4 | |||||
| 33 | 662.0 | 705.1 | |||||
| 34 | 438.0 | 612.2 | |||||
| 35 | 666.9 | 648.1 | |||||
| 36 | 552.3 | 749.7 | |||||
| 37 | 648.2 | 914.4 | |||||
| 38 | 684.6 | 788.1 | |||||
| 39 | 676.5 | 1003.3 | |||||
| 40 | 525.0 | 701.9 | |||||
| 41 | 479.6 | 686.4 | |||||
| 42 | 602.1 | 755.0 | |||||
| 43 | 588.9 | 741.5 | |||||
| 44 | 608.4 | 909.9 | |||||
| 45 | 551.1 | 539.8 | |||||
| 46 | 564.2 | 563.2 | |||||
| 47 | 501.4 | 741.5 | |||||
| 48 | 516.5 | 494.9 | |||||
| 49 | 673.7 | 774.8 | |||||
| 50 | 691.5 | 756.8 | |||||
| 51 | 575.2 | 766.3 | |||||
| 52 | 726.4 | 710.1 | |||||
| 53 | 596.4 | 791.4 | |||||
| 54 | 534.0 | 746.0 | |||||
| 55 | 724.8 | 595.4 | |||||
| 56 | 554.4 | 783.7 | |||||
| 57 | 520.0 | 500.8 | |||||
| 58 | 756.1 | 1136.3 | |||||
| 59 | 590.4 | 752.7 | |||||
| 60 | 729.0 | 1143.6 |