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A paper mill processes rolls of paper having a density of 984 kg/m3. The paper roll is 1.50 m outside dia (OD) by 0.22 m inside dia (ID) by 3.23 m long and has an effective modulus of elasticity in compression of 14 MPa and v = 0.3. Determine the width of its contact patch when it sits on a flat steel surface (E = 207 GPa, v = 0.28), loaded by its own weight. The weigh of the roll is 53.863 kN. What is the width of contact area (2*a) in mm?

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