11.59 Wang and Reinhardt (Journal of Pressure Vessel Technology, 2003) studied the assessment of a steam generator tube. They analyzed a finite element model with a percentage degraded area

(PDA) in the range of 10% to 90% and recorded the finite element limit load. The following table gives the PDA and normalized finite element limit loads.

a Plot the limit load against the PDA. Describe the nature of the relation.
b Estimate the relation using the least-squares method.
c Does the load limit decrease significantly with the PDA? Use .

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PDA Limit Load 10 0.80 20 0.67 30 0.52 40 0.53 50 0.45 60 0.32 70 0.27 80 0.19 90 0.10