Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

y
24.2°
279 με
π
2
579 με
x
– 858 μrad
A complete sketch showing the principal strains, the maximum
in-plane shear strain, and the orientations of the respective directions
is given. The principal strains are shown by the solid rectangle,
which has been elongated in the ε p1 direction (since ε p1 = 579 µε)
and contracted in the ε p2 direction (since ε p2 = −279 µε).
The distortion caused by the maximum in-plane shear strain
is shown by a diamond that connects the four midpoints of the
principal strain element. Because the radius of Mohr’s circle is
R = 429 µ, the maximum in-plane shear strain is γ max = 2R = ±858
µrad. A positive γ value causes the angle between adjacent edges
of an element to decrease, forming an acute angle. Therefore, one of the acute angles in
the distorted diamond shape is labeled with the positive value of γ max : π/2 − 858 µrad.
mecmovies
ExAmpLE
m13.4 Coach Mohr’s Circle of Strain
Learn to construct and use Mohr’s circle to determine principal
strains, including the proper orientations of the principal strain
directions.
ExERcISE
m13.4 Coach Mohr’s Circle of Strain. Learn to construct and
use Mohr’s circle to determine principal strains, including the
proper orientations of the principal strain directions. (Game)
FIGURE m13.4
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