Fundamentals of the Mechanical
Behavior of Materials
2.1 Can you calculate the percent elongation of materials
based only on the information given in
Fig. 2.6? Explain.
Recall that the percent elongation is defined by
Eq. (2.6) on p. 33 and depends on the original
gage length (lo) of the specimen. From Fig. 2.6
on p. 37 only the necking strain (true and engineering)
and true fracture strain can be determined.
Thus, we cannot calculate the percent
elongation of the specimen; also, note that the
elongation is a function of gage length and increases
with gage length.
2.2 Explain if it is possible for the curves in Fig. 2.4
to reach 0% elongation as the gage length is increased
The percent elongation of the specimen is a
function of the initial and final gage lengths.
When the specimen is being pulled, regardless
of the original gage length, it will elongate uniformly
(and permanently) until necking begins.
Therefore, the specimen will always have a certain
finite elongation. However, note that as the
specimens gage length is increased, the contribution
of localized elongation (that is, necking)
will decrease, but the total elongation will not
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