685_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

685_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 08Ch08.qxd 9/18/08 11:06 AM Page 679 SECTION 8.5 Combined Loadings 679 Solution 8.5-4 P P0 Compressive_force Power f frequency sx P0 2p f T torgue d2 outer diameter d1 inner diameter f 540 kN T P0 2p f d2 txy P0 T 300 mm A p ad2 2 4 A 2.16 1800 kW 7.162 d1 d2b 1 104 mm2 104 N # m s1 250 mm p ad 4 2 32 Ip Ip 4.117 STRESSES AT THE OUTER SURFACE sy 25.002 MPa 0 Ta d2 b 2 txy Ip 26.093 MPa PRINCIPAL STRESSES sy 2 sx + sy sx 2 s1 a + b + txy 2 A 2 4.0 Hz P P A sy 4 d1b s2 s2 16.432 MPa sx + sy 2 A a sy sx 2 2 2 b + txy 41.434 MPa 108 mm4 MAXIMUM TENSILE STRESS st st ; 16.43 MPa MAXIMUM COMPRESSIVE STRESS sc A tmax 28.9 MPa sc s2 ; 41.4 MPa tmax s1 MAXIMUM IN-PLANESHEAR STRESS a sy sx 2 2 2 b + txy ; NOTE: Since the principal stresses have opposite signs, the maximum in-plane shear is larger than the maximum out-of-plane shear stress. Problem 8.5-5 A segment of a generator shaft of hollow circular cross section is subjected to a torque T 240 k-in. (see figure). The outer and inner diameters of the shaft are 8.0 in. and 6.25 in., respectively. What is the maximum permissible compressive load P that can be applied to the shaft if the allowable in-plane shear stress is tallow 6250 psi? ...
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This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

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