Differences in the rates of cooling when rolled

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The elastic limit and ultimate strength of reinforcing steel are often stated to be a function of bar size owing to differences in the rates of cooling when rolled. The following data were obtained by random sampling of the delivered reinforcing steel for a particular job.

2161_ultimate strength of reinforcing steel.png

The steel was classed as "intermediate grade," and the allowable design working stress was 20,000 psi. Bar number equals the diameter in eights of an inch.

(a) Make a regression analysis of the elastic limit data on bar size. The elastic limit may vary linearly with bar diameter or with bar area. Make a preliminary plot to determine which is the best measure for use in a regression analysis. Test the assumption that the elastic limit is a function of bar size.

(b) Repeat (a) for ultimate strength.

(c) Are elastic limit and ultimate strength correlated?

Reference no: EM131852997

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