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TABLE 11.1
Functions p i 0
at Beam Boundaries for applied Distributed Transverse Loading
11.3
Variationally Based Stability Analysis (Theory of Second Order)
11.3.1
Principle of Virtual Work
2 δ
1
2 ˚
The energy criterion for stability of Section 11.1.1 was given by
δ(
) =
0 , which is
equivalent to
0 and states that the first variation of the incremental change in
energy is zero. It is convenient to develop the theory in terms of the virtual work W rather
than the potential energy change
δ() =
. Thus, the stability criterion will be
δ(
W
) =
0
(11.54)
where
δ(
W
)
is the virtual work corresponding to the incremental change.
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