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658_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 658_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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652 CHAPTER 8 Applications of Plane Stress Problem 8.2-6 A spherical steel pressure vessel (diameter 480 mm, thickness 8.0 mm) is coated with brittle lacquer that cracks when the strain reaches 150 10 6 (see figure). What internal pressure p will cause the lacquer to develop cracks? (Assume E 205 GPa and v 0.30.) Cracks in coating Solution 8.2-6 Spherical vessel with brittle coating C ROSS - SECTION Cracks occur when max 150 10 6 From Eq. (8-4): 2.93 MPa ; P 2(8.0 mm)(205 GPa)(150 * 10 6 ) (240 mm)(0.70) P 2 tE â max r (1 v ) â max pr 2 tE (1 v ) r 240 mm E 205 GPa (steel) t 8.0 mm v 0.30 Problem 8.2-7 A spherical tank of diameter 48 in. and wall thickness 1.75 in. contains compressed air at a pressure of 2200 psi. The tank is constructed of two hemispheres joined by a welded seam (see figure). (a) What is the tensile load f (lb per in. of length of weld) carried by the weld?

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