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+clear;
+clc;
+h = 80;// feet
+p = 28;// lb. per sq.foot
+rho = 126;// lb. per cubic foot
+p_0 = rho*h/2240;// tons-ft^2
+p_max = 7;// tons/ft^2
+d = 4;// feet
+p_b = p_max - p_0;// tons/ft^2
+D = sqrt(3*p*h^2 /(2*p_b*2240) +sqrt(d^4 + (3*p*h^2 /(2*p_b*2240))^2));// feet
+t = 0.5*(D-d);// feet
+printf('The necessary thickness is, t = %d feet',round(t));