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From: pravin nalawade on 9 Apr 2010 07:38
F1*x+F2*y+F11*x^2+F22*y^2+F12*x*y=1

this is tsai-wu equation for plotting envelope...to proceed further you have to understand that mathamatically its just a eqaution of general ellipse (also called as a quartic eqaution) so, in simplified version of this eqaution can be written as follows,

a*x*x+b*y*y+c*x*y+d*x+ e*y+f=0
where,
x=x direction stress
y= y direction stress
a=f11,b=f22,c=f12,d=f1,e=f2,f=-1
then for plotting general ellipse lot of methods are available.....
From: pravin nalawade on 9 Apr 2010 07:39
F1*x+F2*y+F11*x^2+F22*y^2+F12*x*y=1

this is tsai-wu equation for plotting envelope...to proceed further you have to understand that mathamatically its just a eqaution of general ellipse (also called as a quartic eqaution) so, in simplified version of this eqaution can be written as follows,

a*x*x+b*y*y+c*x*y+d*x+ e*y+f=0
where,
x=x direction stress
y= y direction stress
a=f11,b=f22,c=f12,d=f1,e=f2,f=-1
then for plotting general ellipse lot of methods are available.....
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