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252_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

252_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: Sec_2.8-2.12.qxd 246 9/25/08 11:44 AM Page 246 CHAPTER 2 Axially Loaded Members Problem 2.12-11 A hollow circular tube T of length L 15 in. is uniformly compressed by a force P acting through a rigid plate (see figure). The outside and inside diameters of the tube are 3.0 and 2.75 in., repectively. A concentric solid circular bar B of 1.5 in. diameter is mounted inside the tube. When no load is present, there is a clearance c 0.010 in. between the bar B and the rigid plate. Both bar and tube are made of steel having an elastoplastic stress-strain diagram with E 29 103 ksi and Y 36 ksi. P c T (a) Determine the yield load PY and the corresponding shortening Y of the tube. (b) Determine the plastic load PP and the corresponding shortening P of the tube. (c) Construct a load-displacement diagram showing the load P as ordinate and the shortening of the tube as abscissa. (Hint: The load-displacement diagram is not a single straight line in the region 0 P PY.) Solution 2.12-11 B T L Tube and bar supporting a load TUBE: L 15 in. c 0.010 in. E 29 Y T 103 ksi 36 ksi d2 3.0 in. d1 2.75 in. AT p2 (d 42 d2) 1 1.1290 in.2 B ...
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