<DOC>
<DOCNO>
454
</DOCNO>
<TITLE>
several approximate analyses of the bending of a rectangular
cantilever plate by uniform normal pressure .
</TITLE>
<AUTHOR>
nash,w.a.
</AUTHOR>
<BIBLIO>
j.app.mech. 1952, 33.
</BIBLIO>
<TEXT>
  three methods of approximating the deflections and
moments occurring in a rectangular cantilever plate subjected
to uniform normal pressure over its entire surface
are presented in this paper .  the first is the application of
the well-known finite-difference procedure .  the second
and third are collocation methods, one based upon polynomial
solutions of the lagrange equation, the other employing
/mixed/ hyperbolic-trigonometric terms satisfying
this equation .  in the last two methods the boundary
conditions are satisfied exactly along the clamped edge and
at a finite number of points along the free edges of the plate .
the results obtained for the particular case of a cantilever
plate with uniform normal load indicate that the use of a
relatively small number of points in the collocation
method yields values of deflections and moments that are
in substantial agreement with those given by the finitedifference
procedure .  it cannot be concluded from these
results that the collocation method using the assumed
functions will give satisfactory results with fewer points
than the finite-difference method for cantilever plates with
loading different from the one investigated .
</TEXT>
</DOC>
