<DOC>
<DOCNO>
733
</DOCNO>
<TITLE>
the bending of a sectorial plate .
</TITLE>
<AUTHOR>
carrier,g.f.
</AUTHOR>
<BIBLIO>
j. app. mech. 11, 1944, 134.
</BIBLIO>
<TEXT>
  the problem of evaluating the bending moments, existing
in a uniformly loaded clamped plate having the form
of a sector of a ring, is one which arises in connection with
the stress analysis of reinforced piston heads and in other
design problems .  in this paper, expressions are derived
for the bending moments along the edges of such a plate .
similar problems, i.e., those of the clamped rectangular
plate under uniform pressure, under a central concentrated
load, and that of the simply supported sector of a
disk under uniform pressure, have been discussed by
previous authors .  the general approach used in the foregoing
problems is adopted in the present case ,. a considerable
reduction in the computational work is achieved,
however, by the use of an integral-equation method of
solving the boundary-condition equations .  numerical
results are obtained for plates of various dimensions, and
the edge moment distributions are plotted for these cases .
curves are also plotted which indicate the relationship
existing between the maximum bending moments derived
for sectorial plates and those previously obtained for
clamped rectangular plates of similar size .
</TEXT>
</DOC>
