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+
+clear//
+
+//Variable Declaration
+sigma_x=40 //Stress in x in MPa
+sigma_y=-100 //Stress in y in MPa
+tau_xy=-50 //Shear stress in MPa
+
+//Calculations
+tau_max=sqrt(((sigma_x-sigma_y)*0.5)**2+tau_xy**2) //Maximum in-plane shear in MPa
+
+//Orientation of Plane
+theta1=atan(-((sigma_x-sigma_y)*(2*tau_xy)**-1))*180*%pi**-1*0.5 //Angle in Degrees
+theta2=theta1+90 //Angle in degrees
+
+//Plane of max in-plane shear
+tau_x_y=-0.5*(sigma_x-sigma_y)*sin(2*theta1*%pi*180**-1)+tau_xy*cos(2*theta1*%pi*180**-1)
+
+//Normal Stress
+sigma=(sigma_x+sigma_y)*0.5 //Stress in MPa
+
+//Result
+printf("\n The maximum in-plane Shear is %0.0f MPa",tau_x_y)