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234_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

234_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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228 CHAPTER 2 Axially Loaded Members Problem 2.10-5 Solve the preceding problem for a bar of monel metal having the following properties: d 1 1.0 in., d 2 1.4 in., L 1 20.0 in., L 2 5.0 in., and E 25 10 6 psi. Also, the bar lengthens by 0.0040 in. when the tensile load is applied. L 1 d 1 d 2 d 2 L 2 L 2 P Solution 2.10-4 Round brass bar with upset ends E 100 GPa 0.12 mm L 2 0.1 m L 1 0.3 m Solve for P : P d EA 1 A 2 2 L 2 A 1 + L 1 A 2 d 2 a PL 2 EA 2 b + PL 1 EA 1 R radius of fillets 26 mm 20 mm 2 3 mm Use Fig. 2-65 for the stress-concentration factor: S UBSTITUTE NUMERICAL VALUES : Use the dashed curve in Fig. 2-65. K 1.6 max K nom (1.6) (28.68 MPa) 46 MPa ; R D 1 3 mm 20 mm 0.15 s nom (0.12 mm) (100 GPa) 2(0.1 m)
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