687_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

687_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 681 SECTION 8.5 Combined Loadings LONGITUDINAL STRESS (TENSION) s2 pr 2t pr 2t F A F 2prt 6.25p 72,000 N 2p(50 mm)(4 mm) 6.25p 57.296 Mpa Units: s2 MPa p MPa IN-PLANE SHEAR STRESS (CASE 1) s2 s1 tmax 3.125 p + 28.648 Mpa 2 60 MPa 3.125 p Solving, p1 OUT-OF-PLANE SHEAR STRESSES s1 2 Case 2: tmax Solving, p2 60 MPa 6.25 p; 60 MPa 6.25 p 9.60 MPa s2 2 Case 3: tmax 3.125 p 3.125 p Solving, p3 BIAXIAL STRESS 681 28.648 MPa 28.648 MPa 28.37 MPa CASE 2, OUT-OF-PLANE SHEAR STRESS GOVERNS pmax ; 9.60 MPa 28.648 MPa 10.03 MPa Problem 8.5-7 A cylindrical tank having diameter d 2.5 in. is subjected to internal gas pressure p 600 psi and an external tensile load T 1000 lb (see figure). Determine the minimum thickness t of the wall of the tank based upon an allowable shear stress of 3000 psi. Solution 8.5-7 T T Cylindrical tank with tensile load CIRCUMFERENTIAL STRESS (TENSION) pr t Units: s1 s1 T 1000 lb p 600 psi d 2.5 in. t tallow thickness 3000 psi (600 psi)(1.25 in.) psi t t inches 750 t s2 psi ...
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