Solutuon Hibbler 5 Ed, Exercícios de Mecânica dos sólidos

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4-1. “The ship is pushed through the water using an A-36 steel propeller shaft that is 8 m long, measured from the propeller to the thrust bearing D at the engine. If it has an outer diameter of 490 mm and à wall thickness of 50 mm, determine the amount of axial contraction of the shaft «hen the propeller exerts a force on the shaft of S kN. “Me bearings at B and C are journal bearings. Internal Force: As shown on FBD, 3.64(107) mm Ans Negative sign indicate that end A moves towards end D. Displacement : Pe-50 kN) = -500 (1038) su * HO97037 20010) 3.638 (109) m 4-2. The A-36 steel column is used to support the symmetric loads from the two floors of a building, Determine the vertical displacement of its top A if P, = 40kip, P, = 62 kip, and the column has a cross-sectional area of 234 in. Internal Forces : As shown on FBD (a) and (b) Displacement : PL 80.0 (12)(12) + (5204) (12)(12) “CAE” BAI) * BAD) =- 00603 in. Ans Neganve sign indicates that end 4 moves toward end C, 4-3. The A-36 steel column is used to support the symmetric loads from the two floors of a building. Determine the loads P, and P; if A moves downward 0.12 in. and B moves downward 0.09 in. when the loads are applied. The column bas a cross-sectional area of 23.4 in?. Internal Forces : As shown on EBD. Displacement : For point A PL -2P (144) dao nono) -UB + Po (DID MESES 28275=2P,+8, [E For point B PL 09 in = DSP UDUD AE” 00 in = (234) 290/10) 212.0625=, + P, 1 Solving Egs. [1] and [2] yields B=707kip Ans Lip Ans 4okip 40kip s0kip 40kip | | ezxal [oz xip 80.0 kip (a) Pe=-204 Kip Cb) o wo RevcalBrR)