Plotting an integral function
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I am trying to plot the followng equation. I am solving for stress.
My professor has told us that h' will be negative in the first and positive in the second. I used the following code, but my plot just shows a straight line. I think I should end up with a curve.
L=1.5;
h=.2;
s=.75*L;
tbar=1;
y=0;
for xbar=-1.5:.1:1.5
if xbar>-L & s>xbar
hprime=0.75;
else
hprime=-0.75;
end
fun= @(xbar) ((2*hprime)*((xbar-tbar)^3))/(((xbar-tbar)^2+y^2)^2);
Sxx1=integral(fun,-L,-s, 'ArrayValued',1);
Sxx2=integral(fun,s,L, 'ArrayValued',1);
Sxx=(((L-s)/h)*(Sxx1+Sxx2));
figure(1)
plot(Sxx,xbar,'.')
hold on
grid
title('Sxx vs xbar')
end
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Accepted Answer
Torsten
on 3 Aug 2022
L=1.5;
h=.2;
s=.75*L;
tbar=1;
y=0;
icount = 0;
for xbar=-1.5:.1:1.5
icount = icount + 1;
if xbar>-L & s>xbar
hprime=0.75;
else
hprime=-0.75;
end
fun= @(tbar) ((2*hprime)*((xbar-tbar)^3))/(((xbar-tbar)^2+y^2)^2);
Sxx1=integral(fun,-L,-s, 'ArrayValued',1);
Sxx2=integral(fun,s,L, 'ArrayValued',1);
Sxx(icount)=(((L-s)/h)*(Sxx1+Sxx2));
%figure(1)
%plot(Sxx,xbar,'.')
%hold on
%grid
%title('Sxx vs xbar')
end
plot(-1.5:0.1:1.5,Sxx)
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