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Unformatted text preview: Problem #2 (30%) A 3 x 3 x 3 m3 block is constrained
between different walls as shown in
the ﬁgure, being free to expand in
the perpendicular direction to the
ﬁgure (direction 2). The block is
subjected to an increment of ternw perature AT m 100°C If the material can be assumed to be
isotropic linear eiastic with Young
modulus 200 GPa, Poisson‘s ratio
0.2, and coefﬁcient of linear expan—
sion 0: = 1 > 10—5 00—1, determine: Erictionless 3 m =
' frictionless frictionless 1. The stresses in the block, if any (indicate clearly the direction and sign of each
component: Gm, ayy,..., if any). 2. The ﬁnai dimensions of the block in meters. ﬁefefﬂdK/dhxdwé JVm‘m [My m5 éfo We igneraé'ﬁlc/ ﬂame} éc/ “=9 022:; age—:0 (is Efﬁ— Unghugﬁ-edd—r g3%_u§§c_ £31; x2)?"
@ 5;" 4': g?" 0%“ UgW-tapC/dr ...
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- Fall '06