162CHAPTER 2Axially Loaded MembersProblem 2.10-4A round brass bar of diameter d1 5 20 mm has upset ends of diameter d2 5 26 mm (see figure). The lengths of the segments of the bar are L1 5 0.3 m and L2 5 0.1 m. Quarter-circular fillets are used at the shoulders of the bar, and the modulus of elasticity of the brass is E 5 100 GPa. If the bar lengthens by 0.12 mm under a tensile load P, what is the maximum stress smaxin the bar?L1d1d2d2L2L2PPPPbdt5thicknessst5allowable tensile stressFind PmaxFind Kfrom Fig. 2-64Because st, b, and tare constants, we write:P*5Pmaxstbt51K¢12db≤5stKbt¢12db≤Pmax5snomct5smaxKct5stK(b2d)tWe observe that Pmaxdecreases as d/bincreases.Therefore, the maximum load occurs when the hole
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