________________________________________________________________________
PROBLEM (11.72) A timber column is fixed at its base and free at its top as shown in Fig.
P11.72. What is the largest allowable axial load P that it can support?
Given: L = 5 ft, E = 1.8 x 106 psi
SOLUTION
For the situation described 2
e
LL
=
(see Fig. 11.3a) and d=3 in. So,
2(5 12) 40
3
e
L
d
×
==
Since 40 > 26, use Eq. (11.32).
6
2
0.3(1.8 10 ) 0.338
(40)
all ksi
σ
×
==
and
all all
PA
σ
=(0.338)(3 4) 4.05 kips=×=
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