________________________________________________________________________
PROBLEM (11.76) Calculate the allowable axial load P for a 100-mm by 200-mm
rectangular timber column if the effective length is:
(a) Le = 2 m.
(b) Le = 4 m.
Given: E = 11 GPa, σall = 9 MPa
SOLUTION
, dm
3
100 200 20 10Am
2
=× =× 100 mm
=
(a) 22
ee
LmLd==0
Equation (11.32) :
9
2
0.3(11 10 ) 8.25 9
(20)
all
M
Pa MPa
σ
×
==<
Hence,
63
8.25 10 (20 10 ) 165
all
Pk
−
=× × = N
(b) 44
ee
LmLd==0
Equation (11.32) :
9
2
0.3(11 10 ) 2.06 9
(40)
all
M
Pa MPa
σ
×
==<
And Pk
63
2.06 10 (20 10 ) 41.2
all N
−
=× × =
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