A round brass bar of a diameter d₁ = 20 mm has upset ends each with a diameter d₂ = 26 mm (see figure). The lengths of the segments of the bar are L₁ = 0.3 m and L₂ = 0.1 m. Quarter-circular fillets are used at the shoulders of the bar, and the modulus of elasticity of the brass is E = 100 GPa. If the bar lengthens by 0.12 mm under a tensile load P, what is the maximum stress-max in the bar?

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