684_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

684_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 08Ch08.qxd 9/18/08 678 11:06 AM Page 678 CHAPTER 8 Applications of Plane Stress Solution 8.5-3 P compressive force T Torque d2 d1 inner diameter P 62 k txy outer diameter t 0.75 in. d1 d2 A p2 ad2 4 d 2b 1 A Ip p 4 ad2 32 4 d1 b d2 b 2 txy Ip A 5903 psi PRINCIPAL STRESSES 185 k # in. T Ta d2 2t 6.2 in. d1 4.7 in. s1 12.841 in.2 Ip s1 4 97.16 in. s2 s2 sx + sy + 2 A 3963 psi sx + sy 2 a a sy sx b + txy2 sy sx b + txy2 2 2 2 2 8791 psi STRESSES AT THE OUTER SURFACE st MAXIMUM TENSILE STRESS st ; 3963 psi MAXIMUM COMPRESSIVE STRESS sc sc s1 ; 8791 psi tmax A tmax 6377 psi s2 MAXIMUM IN-PLANESHEAR STRESS P A sy sx 0 sy 4828 psi a sy sx 2 b + txy2 ; NOTE: Since the principal stresses have opposite signs, the maximum in-plane shear is larger than the maximum out-of-plane shear stress. P Problem 8.5-4 A segment of a generator shaft is subjected to a torque T and an axial force P, as shown in the figure. The shaft is hollow (outer diameter d2 300 mm and inner diameter d1 250 mm) and delivers 1800 kW at 4.0 Hz. If the compressive force P 540 kN, what are the maximum tensile, compressive, and shear stresses in the shaft? T T Probs. 8.5-4 and 8.5-5 P ...
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