03-02ChapGere.0013

# 03-02ChapGere.0013 - Solution 3.7-1 Generator shaft d 120...

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Solution 3.5-10 Solid aluminum bar 216 CHAPTER 3 Torsion (a) M AXIMUM STRESSES s t 5 23.9 MPa Ê s c 52 23.9 MPa Ê 5 23.87 MPa Ê t max 5 16 T p d 3 5 16(300 N ? m) p (0.040 m) 3 (b) M AXIMUM STRAINS e t 5 442 3 10 2 6 Ê e c 52 442 3 10 2 6 Ê e max 5 g max 2 5 442 3 10 2 6 5 884 3 10 2 6 rad Ê g max 5 t max G 5 23.87 MPa 27 GPa T T = 300 N · m d = 40 mm G = 27 GPa y x 0 45 ° y x 0 s t = 23.9 MPa t max = 23.9 MPa s c = 23.9 MPa 45 ° e t = 442 × 10 6 e c = 442 × 10 6 g max = 884 × 10 6 rad 1 1 Transmission of Power Problem 3.7-1 A generator shaft in a small hydroelectric plant turns at 120 rpm and delivers 50 hp (see figure). (a) If the diameter of the shaft is d 5 3.0 in., what is the maximum shear stress t max in the shaft? (b) If the shear stress is limited to 4000 psi, what is the minimum permissible diameter d min of the shaft?
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Unformatted text preview: Solution 3.7-1 Generator shaft d 120 rpm 50 hp n 5 120 rpm H 5 50 hp d 5 diameter T ORQUE 5 2188 lb-ft 5 26,260 lb-in. T 5 33,000 H 2 p n 5 (33,000)(50 hp) 2 p (120 rpm) H 5 2 p nT 33,000 Ê H 5 hp Ê n 5 rpm Ê T 5 lb-ft (a) M AXIMUM SHEAR STRESS t max d 5 3.0 in. (b) M INIMUM DIAMETER d min d min 5 3.22 in. Ê d 3 5 16 T p t allow 5 16(26,260 lb-in.) p (4000 psi) 5 334.44 in. 3 t allow 5 4000 psi t max 5 4950 psi Ê t max 5 16 T p d 3 5 16(26,260 lb-in.) p (3.0 in.) 3 A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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