667_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 667_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 8.3 Cylindrical Pressure Vessels 661 H ORIZONTAL PIPES d 1 ± 2ft ± 24 in. r 1 ± 12 in. t 1 ± 1.0 in. (b) F IND HOOP STRESS s 1 IN THE PIPES Since the pipes are 2 ft in diameter, the depth of water to the center of the pipes is about 24 ft. h 1 ± 24 ft ± 288 in. p 1 ± g h 1 Based on the average pressure in the pipes: s 1 ± 125 psi ; ± 125 psi ± a 62.4 1728 lb/in. 3 b (288 in.)(12 in.) 1.0 in. s 1 ± p 1 r 1 t 1 ± g h 1 r 1 t 1 Problem 8.3-10 A cylindrical tank with hemispherical heads is constructed of steel sections that are welded circumferentially (see figure). The tank diameter is 1.25 m, the wall thickness is 22 mm, and the internal pressure is 1750 kPa. (a) Determine the maximum tensile stress s h in the heads of the tank. (b) Determine the maximum tensile stress s c in the cylindrical part of the tank. (c) Determine the tensile stress s w acting perpendicular to the welded joints. (d) Determine the maximum shear stress t h in the heads of the tank. Probs. 8.3-10 and 8.3-11 (e) Determine the maximum shear stress t c in the cylindrical part of the tank. Welded seams Solution 8.3-10 d ± 1.25 m t ± 22 mm p ± 1750 kPa (a) M
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Unformatted text preview: AXIMUM TENSILE STRESS IN HEMISPHERES ( EQ . 8-1) s h ± 24.9 MPa (b) M AXIMUM STRESS IN CYLINDER ( EQ . 8-5) s c ± 49.7 MPa ; s c ± pr t ; s h ± pr 2 t r ± d 2 (c) T ENSILE STRESS IN WELDS ( EQ . 8-6) s w ± 24.9 MPa (d) M AXIMUM SHEAR STRESS IN HEMISPHERES ( EQ . 8-3) t h ± 12.43 MPa (e) M AXIMUM SHEAR STRESS IN CYLINDER ( EQ . 8-10) t c ± 24.9 MPa ; t c ± pr 2 t ; t h ± pr 4 t ; s w ± pr 2 t Problem 8.3-11 A cylindrical tank with diameter d ± 18 in. is subjected to internal gas pressure p ± 450 psi. The tank is constructed of steel sections that are welded circumferentially (see figure). The heads of the tank are hemispherical. The allowable tensile and shear stresses are 8200 psi and 3000 psi, respectively. Also, the allowable tensile stress perpendicular to a weld is 6250 psi. Determine the minimum required thickness t min of (a) the cylindrical part of the tank and (b) the hemispherical heads. 08Ch08.qxd 9/18/08 11:03 AM Page 661...
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