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ERHIBIT IV <br />DORCHESTER COAL MINE <br />STRESS MODEL <br />FOR <br />PARACRUTE PIPELINE <br />A). Two separate methods for stress modeling were used. The chosen <br />model is shown as Exhibit V and VI. The model not chosen assumed <br />that the subsided beam would approximate a cosine wave. Axial <br />tension stresses were determined as if the system were a free <br />hanging catenary. Since the stresses obtained by the <br />cosine/catenary analysis were less than those developed by the <br />displacement model, the displacement model is presented here. <br />Additional torsion forces are calculated and included to simulate <br />the stress if the subsidence were to occur at a bend in the pipe. <br />B.) Additional cases were run to determine the sensitivity to the base <br />case model (Exh1b1C6 VII-RII). <br />