rectangular plate built in on all four edges.
rectangular plate built in on all four edges.
(OP)
Can any one provide a full length answer to the following
question.
Show that the deflection function
w=q(x^2y^2-bx^2y -axy^2+abxy)
is valid for a rectantular plate, built in on all four edges, of sides a and b & subjected to a uniformly distributed load q.
I know the boundary conditions but seem to lose my way when i do the partial differentiating.
i just need the model anwser to find my way.
Thanking you in advance. fmara.
question.
Show that the deflection function
w=q(x^2y^2-bx^2y -axy^2+abxy)
is valid for a rectantular plate, built in on all four edges, of sides a and b & subjected to a uniformly distributed load q.
I know the boundary conditions but seem to lose my way when i do the partial differentiating.
i just need the model anwser to find my way.
Thanking you in advance. fmara.






RE: rectangular plate built in on all four edges.
Do you have access to a University library? It would be certain to have this great book on its shelves.
RE: rectangular plate built in on all four edges.
Can you better explain your goal, as your question is quite theoretical? You should also specify where the origin of coordinate system is located.
In the site below there is a form for calculating rectangular plates with built-in edges: it is based on a finite difference solution.
prex
http://www.xcalcs.com
Online tools for structural design
RE: rectangular plate built in on all four edges.
I know the boundary conditions for fixed plates are
x=0 w=0 first partial w.r.t =0
x=a w=a first partial w.r.t =a
and so fourth for y
When I do the f.par at x=0 The BCs are not satisfied.
or an i doing it all wroung?
Can you help me out now.
RE: rectangular plate built in on all four edges.
RE: rectangular plate built in on all four edges.
prex
http://www.xcalcs.com
Online tools for structural design
RE: rectangular plate built in on all four edges.
http://www.city-and-guilds.co.uk/folder/cg_park_content... page 21 for your comments.
It contradicts my findings.
Thank you for your time.
RE: rectangular plate built in on all four edges.
then click on examination it will lead you to city-and-guilds web site, click on examiner report and finaly click on Graduate diploma 2003 pg 24 Q10.
you can review the examiners comment to my qusetion.
thank you.
RE: rectangular plate built in on all four edges.
The following equation is known to give a first order approximation for the deflection of a built in plate and uniform loading:
w=256f(a2/4-x2)2(b2/4-y2)2/a4b4
where f is the center deflection that must be determined from an energy equation (the origin of coordinates is in the center for this equation).
You'll be able to check out that this equation satisfies the boundary conditions and that your equation does not.
prex
http://www.xcalcs.com
Online tools for structural design
RE: rectangular plate built in on all four edges.
I'd like to thank you prex for the time you have put in answering my question.
fmara.