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Page Title:
Table C-5 Elastic Response to Reference 1.0g NUREG/CR-0098 Spectrum (7% damping) - Continued |
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|  DOE-STD-1020-2002
(C-17)
where:
[
]
A = C f 1 - ( f s / f ) ≤ 0.85
For ground motions with strong durations greater than one second, Cƒ may be
approximated as 2.3. Thus, for (fS /f) less than or equal to 0.63 one may take A equal to 0.85.
For this example:
(f
/ f ) = 0.15 + 0.85( 0.466) = 0.546
(C-18)
e
f e = 0.546 (8.25Hz) = 4.5Hz
The effective damping βQ may be estimated from:
(C-19)
where β is the elastic damping (7% in this case) and βH is the pinched hysteretic damping which
can be approximated by:
[ (
)] = 11%(.534) = 5.9%
βH = 11% 1 - f s / f
(C-20)
for strong durations greater than one second. Thus, for this example:
C-39
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