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Page Title: Energy-Balance Method. - Continued
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DOE-STD-3014-96
4m/Me
1
2
Ea
mV0
2
(1 m/Me)2
(6-10)
when m/Me 1,
and
1
2
mV0
when m/Me >> 1.
Ea
(6-11)
2
g. The energy absorption capability (SE) of the target structure is
determined as
SE
Rm Xe ( 0.5).
(6-12)
The ductility ratio ( ) may then be computed as
Ea
0.5
(6-13)
min
RmXe
where:
Rm =
static collapse load;
Xe =
effective yield displacement.
The static collapse load, Rm, can be computed by methods discussed
in standard handbooks and structural analysis/design texts and
references. It is a function of the ultimate capacity of the structural
member and varies for different end support configurations. The
"effective yield" point is found by extending the initial elastic
deformation line to its intersection with the limit or collapse load line.
74


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