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function sigma_z=boussinesq_lookup(q,a,b,z)
% function that determines stress under corner of an a by b rectangular platform
% z-meters below the platform. The calculated solutions are in the fmn data
% m=fmn(:,1)
% in column 2, fmn(:,2), n=1.2
% in column 3, fmn(:,2), n=1.4
% in column 4, fmn(:,2), n=1.6
fmn= [0.1,0.02926,0.03007,0.03058
0.2,0.05733,0.05894,0.05994
0.3,0.08323,0.08561,0.08709
0.4,0.10631,0.10941,0.11135
0.5,0.12626,0.13003,0.13241
0.6,0.14309,0.14749,0.15027
0.7,0.15703,0.16199,0.16515
0.8,0.16843,0.17389,0.17739];
m=a/z;
n=b/z;
mv=fmn(:,1);
n1=fmn(:,2);
n2=fmn(:,3);
n3=fmn(:,4);
if n<1.3
n=1.2;
nv=n1;
elseif 1.3<n && n<1.5
n=1.4;
nv=n2;
elseif n>=1.5
n=1.6;
nv=n3;
end
i=round(m,1);
for i = i:0.7
if m<=i && m>i+0.1
i=i;
end
x=[i-0.1 i i+0.1 i+0.2];
m1=i;
end
end