Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

Determine the allowable axial load P allow that may be applied to the
column for the following parameters: L = 60 in., b = 1.25 in., and h =
2.00 in. Use the Aluminum Association column design formulas.
y
P
h
z
b
z
P
y
b
h
Use the Aluminum Association column design formulas to determine
the allowable compressive load P allow that the column can
support. In your analysis, consider the possibility that buckling
could occur about either the strong axis (i.e., the z axis) or the weak
axis (i.e., the y axis) of the aluminum column.
p16.39 A wood post of rectangular cross section (Figure P16.39)
consists of Select Structural grade Douglas fir lumber (F c = 1,150 psi;
E′ min = 580,000 psi). The finished dimensions of the post are b =
5.5 in. and d = 7.5 in. Assume pinned connections at each end of
the post. Determine the allowable axial load P allow that may be supported
by the post for the following column lengths: (a) L = 10 ft,
(b) L = 16 ft, and (c) L = 24 ft. Use the AWC NDS column design
formula.
y
L
z
d
x
x
b
FIGURE p16.39
y
FIGURE p16.37
p16.38 A 6061-T6 aluminum-alloy wide-flange shape is used
as a column of length L = 5.5 m. The column is fixed at base A. Pinconnected
lateral bracing is present at B so that deflection in the x–z
plane is restrained at the upper end of the column; however, the
column is free to deflect in the x–y plane at B. (See Figure P16.38a.)
The cross-sectional dimensions of the shape as shown in Figure
P16.38b are b f = 130 mm, t f = 9 mm, d = 200 mm, and t w = 6 mm.
z
p16.40 A Select Structural grade Hem-Fir (F c = 10.3 MPa;
E′ min = 4.0 GPa) wood column of rectangular cross section has
finished dimensions of b = 100 mm and d = 235 mm. The length of the
column is L = 4.75 m. The column is fixed at base A. Pin-connected
lateral bracing is present at B so that deflection in the x–z plane is
restrained at the upper end of the column; however, the column is
free to deflect in the x–y plane at B (see Figure P16.40). Use the
AWC NDS column design formula to determine the allowable
compressive load P allow that the column can support. In your analysis,
consider the possibility that buckling could occur about either
the strong axis (i.e., the z axis) or the weak axis (i.e., the y axis) of
the wood column.
x
P
x
P
y
B
B
z
d
t f
b
L
y
L
z
d
y
t w
y
A
b f
t f
A
z
FIGURE p16.38a
FIGURE p16.38b
z
FIGURE p16.40
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