Recurrence of torsional failure of elevated water tanks in past earthquakes
(including 1952 Kern County and recent 1993 Killari earthquakes) has highl
ighted the importance of this problem. It is established that these structu
res may have amplified torsion-induced rotation if their torsional-to-later
al natural period ratio tau is close to 1 and amplified displacement of str
uctural elements due to the coupled lateral-torsional vibration if tau is w
ithin the critical range 0.7 < tau < 1.25. The present study aims to estima
te the range of variation of tau for usually constructed reinforced concret
e elevated water tanks with frame-type stagings for assessing their torsion
al vulnerability. Closed-form expressions for torsional and lateral stiffne
ss of tank stagings are derived and verified by standard finite element sof
tware. These expressions are used for studying the variation of tau for fea
sible ranges of influencing parameters. It is seen that a very large number
of such tanks may have tau within the said critical range. Closed-form exp
ressions for moments and shear forces of columns and beams under torsion an
d that under lateral force are also derived. It is also seen with the help
of these expressions that the frame stagings of these tanks normally design
ed for seismic lateral force, may yield through formation of plastic hinges
simultaneously in all columns instead of in beams if they are subjected to
large rotational response for having tau possibly very close to 1. Such a
pattern of yielding generally converts the whole system suddenly into a mec
hanism causing immediate collapse. Therefore, torsional coupling seems to b
e a potential cause of failure for these structures. (C) 2000 Elsevier Scie
nce Ltd. All rights reserved.