AE 321 – Homework #2
Due: Wednesday September 17, 2008
Chapter 2: Traction and Stress
1. Find the components of the traction on planes defined by
n
1
=
12
,
n
2
=
n
3
=
0
and
n
1
=
n
2
=
±
n
3
=
0
for the following states of stress:
(a)
±
11
=
±±
=
21
=
0
13
=
31
=
0
22
=
23
=
32
=
0
33
=
(b)
=
=
=
=
=
0
=
=
=
0
=
0
2. The state of stress at a point P in a material is given by:
ij
[]
=
20
2
1
2
²
15
2
3
³
´
µ
µ
¶
·
¸
¸
KPa
(a) Compute the components of traction on the plane passing through P whose outward normal
vector
n
makes equal angles with the coordinate axes.
(b) Compute the normal and tangential components of traction on this plane.
3. The state of stress at a point is given by
ij
. A plane is defined by the direction cosines of the
normal (1/2, 1/2, 1/
±
2). Under what conditions will the traction vector on this plane be parallel to
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 Spring '08
 Dutton,J
 Force, Stress, xy xz yz, Body Forces, stress field, xx yy zz

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