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300_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 300_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: Sec_3.5-3.7.qxd 294 9/27/08 1:10 PM Page 294 CHAPTER 3 Torsion Solution 3.5-10 Solid aluminum bar (b) MAXIMUM STRAINS (a) MAXIMUM STRESSES tmax 16T 3 pd 16(300 N # p(0.040 m) 23.87 MPa t m) 23.9 MPa gmax 3 tmax G 23.87 MPa 27 GPa 884 * 10 ; 23.9 MPa c ; âmax t gmax 2 6 rad 442 * 10 442 10 ; 6 6 442 c 10 6 ; Transmission of Power Problem 3.7-1 A generator shaft in a small hydroelectric plant turns 120 rpm at 120 rpm and delivers 50 hp (see figure). d (a) If the diameter of the shaft is d 3.0 in., what is the maximum shear stress max in the shaft? (b) If the shear stress is limited to 4000 psi, what is the minimum permissible diameter dmin of the shaft? 50 hp Solution 3.7-1 Generator shaft n 120 rpm TORQUE H 50 hp d diameter H 2pnT H 33,000 T 33,000 H 2pn (33,000)(50 hp) 2p(120 rpm) 2188 1b-ft 26,260 1b-in. hp n (a) MAXIMUM SHEAR STRESS d 3.0 in. rpm T max 1b-ft tmax tmax 16T 16(26,260 1b-in.) 3 p (3.0 in.)3 pd 4950 psi ; (b) MINIMUM DIAMETER dmin allow d3 dmin 4000 psi 16T ptallow 3.22 in. 16(26,260 1b-in.) p (4000 psi) ; 33.44 in.3 ...
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