ClVE207, Fall 2008,
Assignment #9 (Due Nov. 18, Tuesday 12pm, Box 2 in Room MD475)
10.21
Column
AB
carries a centric load P of magnitude 15 kips. Cables
Be
and
BD
are taut and prevent motion of point
B
in the
xz
plane. Using Euler's
formula and a factor of safety of 2.2, and neglecting the tension in the cables,
determine the maximum allowable length
L.
Use
E
=
29 X 10
6
psi
..
x
Fig. P10.21
\
02{'
*Prob. 10.3·12. A
beam
AB
that supports a
unifonnly
distributed:
.
J. ,;
load of intensity w (force per unit length)
is
simply supported at
both ends, and it rests on a pipe column at. its center C. Neglecting
the weight of the beam
AB,
derive a formula for
the
value of the
distributed load,
w....
that
would cause elastic buckling of the
support column
CD.
Assume that the column is fixed to its base.
at D and pinned
to
the beam at C. Express your answer
in
terms
of the following material and geometric parameters: the modulus
of elasticity,
E
(same for the beam
A1J
and the column
CD);
length of the beam,
a,
and the length of the column,
L;
the mo
ment of inertia of the beam.
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 Fall '09
 Shao
 Column, Buckling, column CD

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