The 10-mm-diameter steel bolt is surrounded by a bronze sleeve. The outer diameter of this sleeve is 20 mm, and its inner diameter is 10 mm. If the yield stress for the steel is (σ_Y)_st= 640 MPa, and for the bronze (σ_Y)_br= 520 MPa, determine the magnitude of the largest elastic load P that can be applied to the assembly. E_st= 200 GPa, E_br= 100 GPa.

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-10 mm -20 mm