Question: A straight bar of arbitrary cross section and thickness h is cold-formed to an inner radius R about an anvil as shown in the figure.

A straight bar of arbitrary cross section and thickness h is cold-formed to an inner radius R about an anvil as shown in the figure. Some surface at distance N having an original length L AB will remain unchanged in length after bending. This length is

(R + N) LAB = LAV =-

The lengths of the outer and inner surfaces, after bending, are

A straight bar of arbitrary cross section and thickness h

Using Eq. (2-4), we then find the true strains to be

A straight bar of arbitrary cross section and thickness h

Tests show that |εo | = |εi |. Show that

LAB

And

A straight bar of arbitrary cross section and thickness h

(R + N) LAB = LAV =- LAB

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