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668_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 668_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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662 CHAPTER 8 Applications of Plane Stress Solution 8.3-11 d 18 in. p 450 psi s allow 8200 psi (tension) t allow 3000 psi (shear) W ELD s a 6250 psi (tension) (a) F IND MINIMUM THICKNESS OF CYLINDER T ENSION t min 0.494 in. S HEAR t min 0.675 in. W ELD s pr 2 t t min pr 2 t allow t max pr 2 t t min pr s allow s max pr t r d 2 t min 0.324 in. (b) F IND MINIMUM THICKNESS OF HEMISPHERES T ENSION t min 0.247 in. S HEAR t min 0.338 in. t min 0.338 in. ; t min pr 4 t allow t max pr 4 t t min pr 2 s allow s max pr 2 t t min 0.675 in. ; t min pr 2 s a Problem *8.3-12 A pressurized steel tank is constructed with a helical weld that makes an angle a 55° with the longitudinal axis (see figure). The tank has radius r 0.6 m, wall thickness t 18 mm, and internal pressure p 2.8 MPa. Also, the steel has modulus of elasticity E 200 GPa and Poisson’s ratio v 0.30. Determine the following quantities for the cylindrical part of the tank.
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Unformatted text preview: (a) The circumferential and longitudinal stresses. (b) The maximum in-plane and out-of-plane shear stresses. (c) The circumferential and longitudinal strains. (d) The normal and shear stresses acting on planes parallel and perpendicular to Probs. 8.3-12 and 8.3-13 the weld (show these stresses on a properly oriented stress element). Solution 8.3-12 a ± 55 deg r ± 0.6 m t ± 18 mm p ± 2.8 MPa E ± 200 GPa v ± 0.3 (a) C IRCUMFERENTIAL STRESS s 1 ± 93.3 MPa L ONGITUDIAL STRESS s 2 ± 46.7 MPa ; s 2 ± pr 2 t ; s 1 ± pr t (b) I N-PLANE SHEAR STRESS t 1 ± 23.3 MPa O UT-OF-PLANE SHEAR STRESS t 2 ± 46.7 MPa ; t 2 ± s 1 2 ; t 1 ± s 1 ² s 2 2 Helical weld a 08Ch08.qxd 9/18/08 11:03 AM Page 662...
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