The article A Probabilistic Model of Fracture inConcrete and Size Effects on Fracture
Chapter 4, Problem 90(choose chapter or problem)
The article A Probabilistic Model of Fracture inConcrete and Size Effects on Fracture Toughness(Magazine of Concrete Res., 1996: 311320) givesarguments for why fracture toughness in concrete specimensshould have a Weibull distribution and presentsseveral histograms of data that appear well fit by superimposedWeibull curves. Consider the following sampleof size n 5 18 observations on toughness for highstrengthconcrete (consistent with one of the histograms);values of pi 5 (i 2 .5)y18 are also given.Observation .47 .58 .65 .69 .72 .74pi .0278 .0833 .1389 .1944 .2500 .3056Observation .77 .79 .80 .81 .82 .84pi .3611 .4167 .4722 .5278 .5833 .6389Observation .86 .89 .91 .95 1.01 1.04pi .6944 .7500 .8056 .8611 .9167 .9722Construct a Weibull probability plot and comment.
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