Civil Engineering Reference
In-Depth Information
(a)
(b)
x
P
P
x
Δ
Δ
P
Δ/2
P
Δ
L
L
y
y
P
P
Δ/2
P
(c)
(d)
x
x
P
e
P
L
d
0
L
y
y
P
e
P
FIGURE 6.5
Compression member end and initial conditions: (a) fixed-guided; (b) hinged-
guided; (c) eccentric load; (d) geometric imperfection.
The rearrangement of Equation 6.15 yields
EI
P
cr
=
L
K
=
effective length factor
.
(6.17)
Values of
K
from Equation 6.17 for the various end conditions and corresponding
ideal conditions of the mathematical model, which may not be representative of the
actual end conditions, the effective length factors in Table 6.4 are generally increased