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669_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

669_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 8.3 Cylindrical Pressure Vessels 663 (c) C IRCUMFERENTIAL STRAIN 1 3.97 10 4 L ONGITUDINAL STRAIN 2 9.33 10 5 (d) S TRESS ON WELD u 90 deg a u 35 deg s x s 2 s x 46.667 MPa s y s 1 s y 93.333 MPa t xy 0 ; â 2 s 2 E (1 2 v ) ; â 1 s 1 2 E (2 v ) For u 35 deg s x 1 62.0 MPa t x 1 y 1 21.9 MPa s y 1 s x s y s x 1 s y 1 78.0 MPa ; ; t x 1 y 1 s x s y 2 sin (2 u ) + t xy cos (2 u ) ; + t xy sin (2 u ) s x 1 s x + s y 2 + s x s y 2 cos (2 u ) Problem *8.3-13 Solve the preceding problem for a welded tank with a 62°, r 19 in., t 0.65 in., p 240 psi, E 30 10 6 psi, and v 0.30. Solution 8.3-13 a 62 deg r 19 in. t 0.65 in. p 240 psi E 30 10 6 psi v 0.3 (a) C IRCUMFERENTIAL STRESS L ONGITUDIAL STRESS (b) I N - PLANE SHEAR STRESS O UT - OF - PLANE SHEAR STRESS (c) C IRCUMFERENTIAL STRAIN 1 1.988 10 4 ; â 1 s 1 2 E (2 v ) ; t 2 3508 psi t 2 s 1 2 ; t 1
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