704_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

704_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 08Ch08.qxd 9/18/08 698 11:06 AM Page 698 CHAPTER 8 Applications of Plane Stress PART (b). BOTTOM OF THE CYLINDER MAXIMUM SHEAR STRESSES Stress element on the bottom of the cylinder as seen from below. In-plane: t 1669 psi Out-of-plane: s1 2 t or tmax s2 2 s1 2 t 5340 psi 5340 psi MAXIMUM STRESSES FOR THE BOTTOM OF THE CYLINDER st 10,680 psi tmax sc 0 (No compressive stresses) 5340 psi PART (c). ENTIRE CYLINDER sx pr Mr2 + 2t I 5175.0 psi + 2506.8 psi st sy txy 10,350 psi Tr2 Ip 0 (No compressive stresses) tmax 5340 psi ; ; ; 1002.7 psi PRINCIPAL STRESSES s1, 2 10,680 psi sc 7681.8 psi pr t The largest stresses are at the bottom of the cylinder. sx + sy ; 2 A a sy sx 2 2 b + t2 xy 9015.9 psi ; 1668.9 psi s1 10,685 psi s2 7347 psi y0 Problem 8.5-20 For purposes of analysis, a segment of the crankshaft in a vehicle is represented as shown in the figure. Two loads P act as shown, one parallel to ( x0) and another parallel to z0; each load P equals 1.0 kN. The crankshaft dimensions are b1 80 mm, b2 120 mm, and b3 40 mm. The diameter of the upper shaft is d 20 mm. (a) Determine the maximum tensile, compressive, and shear stresses at point A, which is located on the surface of the upper shaft at the z0 axis. (b) Determine the maximum tensile, compressive, and shear stresses at point B, which is located on the surface of the shaft at the y0 axis. b1 = 80 mm B A x0 z0 d = 20 mm b2 = 120 mm P b3 = 40 mm P = 1.0 kN ...
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