Determine the semi contact length b

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Two long cylinders of radii R₁ = 10 mm and R₂ = 13 mm, in frictionless contact with their axes parallel to each other, are pressed together with a force per unit length, F = 3,200 N/mm.

Determine the semi-contact length b and the approach distance d. Both materials are linear elastic with E₁ = 30,000 N/mm² and v₁ = 0.25 for Cylinder 1 and E₂ = 29,120 N/mm² and v² = 0.3 for Cylinder 2.

Assume a plane stress condition with a unit thickness and symmetry. Compare the results with the target results of d = 0.4181 mm and b = 1.20 mm.

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Reference no: EM131304377

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