692_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

692_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 08Ch08.qxd 9/18/08 686 11:06 AM Page 686 CHAPTER 8 Applications of Plane Stress Solution 8.5-10 Cylindrical pressure vessel s1 s2 56.4 MPa ‹ smax 18.6 MPa ; 56.4 MPa A MAXIMUM IN-PLANE SHEAR STRESS tmax T 120 kN # m t 15 mm r P pr t sy 25 MPa txy Tr Ip Ip 2pr 3t 50 MPa (EQ. 3-18) T ; 18.9 MPa A 30 MPa (in-plane shear stress) a pr 2t sy sx 2 25 MPa T txy 14.147 MPa 2pr 2t tmax sx (EQ. 3-11) txy 2 2 b + t2 xy (b) MAXIMUM ALLOWABLE TORQUE T 2.5 MPa tallow sx sy sx 300 mm STRESSES IN THE WALL OF THE VESSEL pr 2t a 2( pr t sy (1) 50 MPa 117.893 * 10 2pr 2t Units: txy 2 b + t2 xy MPa 6 T N#m T Substitute into Eq. (1): tmax tallow 30 MPa 12.5 MPa)2 + ( 117.893 * 10 6 Square both sides, rearrange, and solve for T: (30)2 T2 T Tmax (a) PRINCIPAL STRESSES s1, 2 sx + sy ; 2 A a sy sx 37.5 ; 18.878 MPa 2 2 b + t2 xy (12.5)2 (117.893 743.750 13,899 * 10 12 53,512 * 106 ( N # m)2 231.3 * 103 N # m 231 kN # m 10 6)2 T2 ; T)2 ...
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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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