This book presents simplified analytical methodologies for static
and dynamic problems concerning various elastic thin plates in the
bending state and the potential effects of dead loads on static and
dynamic behaviors. The plates considered vary in terms of the plane
(e.g. rectangular or circular plane), stiffness of bending,
transverse shear and mass. The representative examples include void
slabs, plates stiffened with beams, stepped thickness plates,
cellular plates and floating plates, in addition to normal plates.
The closed-form approximate solutions are presented in connection
with a groundbreaking methodology that can easily accommodate
discontinuous variations in stiffness and mass with continuous
function as for a distribution. The closed-form solutions can be
used to determine the size of structural members in the preliminary
design stages, and to predict potential problems with building
slabs intended for human beings' practical use.
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