Name:
_____________________________
Section:
__________
Problem #1
(20 points): The aluminum tube AB has a hollow, rectangular cross section with a
thickness of 3 mm, and is supported by pins and brackets at the ends.
The constraints produce a
pinnedpinned condition about the zaxis, and a fixedfixed condition about the yaxis.
The tube
is initially unloaded at room temperature, but then undergoes a temperature increase (
∆
T) that
produces an internal axial load (P).
Assume E = 70 GPa,
σ
ys
= 250 MPa, and
α
= 23.6 x 10
6
/
°
C.
(a)
Calculate the largest load (P
max
) that
AB can support without failing.
(b)
Determine the temperature increase
(
∆
T) necessary to develop P
max
.
z
y
30 mm
60 mm
t = 3 mm
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_____________________________
Section:
__________
Problem #2
(20 points): A W 5
×
16 steel beam is used as a column that is rigidly attached to the
ground and supported by a continuous cable CBD. The cable is taut and prevents motion of
point B in the xz plane, but offers no restraint to motion in the yz plane.
The column has a
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 Spring '04
 staff
 Column, Buckling, _____________________________ Section, __________ Problem

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