Solved: A rectangular bar that is straight and unstressed

Chapter 4, Problem 4.93

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A rectangular bar that is straight and unstressed is bent into an arcof circle of radius r by two couples of moment M. After the couplesare removed, it is observed that the radius of curvature of the bar isrR. Denoting by rY the radius of curvature of the bar at the onset ofyield, show that the radii of curvature satisfy the following relation:

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