Name:
_____________________________
Section:
__________
Problem #1
(20 points): Two forces are applied to the end of a solid rod depicted in figure 1.
These forces cause internal forces and moments on a cut section 8 in. from the wall, in the
directions shown in figure 2.
The rod has a circular crosssection with a radius of 0.75 in.
Points
A and B lie on the cut surface, at the locations shown.
Figure 1
Figure 2
(a) Calculate the normal and shear
stresses that act at points A and B.
(b) Illustrate the combined stress state for
each point on the squares given.
z
y
x
y
AB
(P
y
)
(T
y
)
(M
x
)
(M
z
)
(V
z
)
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_____________________________
Section:
__________
Problem #2
(20 points): Two forces are applied to the end of a cantilever beam.
One force is
applied at the top of the beam parallel to the xaxis (30 kips), and the other is on the end face
along the yaxis (10 kips).
The beam has a solid, rectangular crosssection (8 x 6 in).
Points A
and B lie on the fixed end, at the locations shown.
(a)
Determine the reactions (forces and
moments) at the wall.
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 Spring '04
 staff
 Force, shear stresses, stress state, _____________________________ Section, __________ Problem

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