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ERHIBIT V <br />PARACBUfE PIPELINE <br />STRESS MODEL <br />FOR <br />DORCHESTER COAL MINE <br />FORMULA USED• <br />Maximum Moment = M = 2EI (2B + 8 -3o)±M <br />B 1 B A 1 fixed end <br />Where o = Subsidence <br />e =Angle of Rotation <br />1 = Length <br />6 <br />E = Modulus of Elasticity (For steel E=30x 10 PSI) <br />4 4 <br />64 <br />2 <br />Maximum moment (M) = w 1 <br />2 <br />Maximum bending stress (M ) = M c <br />B I <br />Where c = Maximum distance from neutral axis. <br />For thin walled sections: <br />Shear flow (q) = M <br />2 AA <br />A =Area enclosed by the median line <br />Torsional Stress (S ) = S <br />t W.T . <br />Ci M \ 2 2 1/2 <br />Total Stress S = B + 4 Bt <br />E Z <br />Where <br />i = Stress Intensification Factor (1 .3) <br />Where <br />Z = Section Modulus of Pipe <br />