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psuaero
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Homework Statement
I am writing a MATLAB code to predict plate displacement for multiple load conditions using the rayleigh-ritz method. I have gotten the first three loads but I am struggling with the last load case.
I need to represent a distributed load for a flat plate that is piecewise defined as follows:
p(z)=
c 0<=x<=[tex]\frac{L}{2}[/tex] , 0<=y<=[tex]\frac{L}{2}[/tex]
-c 0<=x<=[tex]\frac{L}{2}[/tex] , [tex]\frac{L}{2}[/tex]<=y<=L
c [tex]\frac{L}{2}[/tex]<=x<=L , [tex]\frac{L}{2}[/tex]<=y<=L
-c [tex]\frac{L}{2}[/tex]<=x<=L , 0<=y<=[tex]\frac{L}{2}[/tex]
Homework Equations
The Attempt at a Solution
I've tried to represent this loading case using a heaviside function and this load case looks correct from the bottom of the plate to the middle of the plate but is not correct for the top half of the plate. as shown in the figure below.
[PLAIN]http://www.personal.psu.edu/kwm140/Loadcase.jpg
this is the function that I used to create this load case:
p=10*heaviside(12 -x)-10*heaviside(-12+x)-10*heaviside(-12+y);
I used the value of 10 in place of c
Any ideas on how to represent this loading in a way that would allow the load to be integrated over the area of the plate.
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