2.14 The aluminum rod ABC (E = 10.1 × 106 psi), which consists of two cylindrical portions AB and BC, is to be replaced with a cylin- drical steel rod DE (E = 29 × 10⁰ psi) of the same overall length. Determine the minimum required diameter d of the steel rod if its vertical deformation is not to exceed the deformation of the aluminum rod under the same load and if the allowable stress in the steel rod is not to exceed 24 ksi. ↑ 12 in. 18 in. 28 kips A -1.5 in. Fig. P2.14 B -2.25 in. 28 kips D E -d

Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If F₁ = 13 kips, F₂ = 34 kips, and the normal stress in each rod must be limited to 22 ksi, determine the minimum diameter d₁ required for rod (1). A (2) d₁ F₂ B C O 1.087 in. O 0.823 in. O 0.541 in. O 0.867 in. O 1.003 in. d₂

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