________________________________________________________________________
PROBLEM (*11.77) Determine the largest permissible length L for a timber column
shown in Fig. P11.77.
Given: E = 10.4 GPa, P = 15 kN
Assumption: The board is taken to be pin-supported at its ends.
*SOLUTION
Assume that Eq.(11.32) applies.
2
0.3
()
all e
e
EPLL
Ld A
σ
=
==
or
93
2
0.3(10.4)(10 ) 15(10 )
( 0.035) (0.035)(0.14)L=
Solving
1.117 1,117Lm==mm
We have
1,117 31.9
35
L
d==
Check:
26 ≤ the solution is valid. 50,Ld≤
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