Timber Column Axial Load Problem Solution

________________________________________________________________________
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=×=
Excerpts from this work may be reproduced by instructors for distribution on a not-for-profit basis for testing or
instructional purposes only to students enrolled in courses for which the textbook has been adopted. Any other
reproduction or translation of this work beyond that permitted by Sections 107 or 108 of the 1976 United States
Copyright Act without the permission of the copyright owner is unlawful.