303_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

303_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 3.7 Transmission of Power 297 Solution 3.7-5 Hollow shaft d ± outside diameter d 0 ± inside diameter ± 0.75 d H ± 400 hp n ± 400 rpm ² allow ± 6000 psi T ORQUE H ± 2 p nT 33,000 I P ± p 32 [ d 4 ³ (0.75 d ) 4 ] ± 0.067112 d 4 H ± hp n ± rpm T ± lb-ft ± 5252.1 lb-ft ± 63,025 lb-in. M INIMUM OUTSIDE DIAMETER d 3 ± 78.259 in. 3 d min ± 4.28 in. ; 0.067112 d 4 ± (63,025 lb-in.)( d ) 2(6000 psi) t max ± Td 2 I P I P ± Td 2 t max ± Td 2 t allow T ± 33,000 H 2 p n ± (33,000)(400 hp) 2 p (400 rpm) Problem 3.7-6 A tubular shaft being designed for use on a construction site must transmit 120 kW at 1.75 Hz. The inside diameter of the shaft is to be one-half of the outside diameter. If the allowable shear stress in the shaft is 45 MPa, what is the minimum required outside diameter d ? Solution 3.7-6 Tubular shaft d ± outside diameter d 0 ± inside diameter ± 0.5 d P ± 120 kW ± 120,000 W f ± 1.75 Hz allow ± 45 MPa T ORQUE P ± 2 ´ fT P ± watts
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