686_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

686_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 08Ch08.qxd 9/18/08 680 11:06 AM Page 680 CHAPTER 8 Applications of Plane Stress Solution 8.5-5 P compressive force d2 outer diameter T d1 Torque inner diameter sx 8 in. d1 A p ad2 2 4 d2b 1 tallow 6.25 in. 6250 psi A Ip P A sy 240 k # in. d2 Ip T txy 19.586 in.2 p ad 4 2 32 4 d1b 252.321 in.4 d2 Ta b 2 txy Ip A 3805 psi tmax MAXIMUM IN-PLANESHEAR STRESS tmax sy STRESSES AT THE OUTER SURFACE 0 P 2 11tmax sy A a sy sx 2 2 b + t2 xy 2 txy2 4 P tallow sy 9917 psi ; 194.2 k NOTE: The maximum in-plane shear is larger than the maximum out-of-plane shear stress. Problem 8.5-6 A cylindrical tank subjected to internal pressure p is simultaneously compressed by an axial force F 72 kN (see figure). The cylinder has diameter d 100 mm and wall thickness t 4 mm. Calculate the maximum allowable internal pressure pmax based upon an allowable shear stress in the wall of the tank of 60 MPa. F F Solution 8.5-6 Cylindrical tank with compressive force CIRCUMFERENTIAL STRESS (TENSION) s1 F 72 kN p internal pressure d 100 mm pr t Units: s1 t 4 mm tallow 60 MPa p(50 mm) 4 mm MPa 12.5 p p MPa ...
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