236_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

236_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: Sec_2.8-2.12.qxd 230 9/25/08 11:44 AM Page 230 CHAPTER 2 Axially Loaded Members P2 s max A1 K s nom A1 a st A1 K (b) DIAMETER OF PRISMATIC BAR FOR THE SAME ALLOWABLE LOAD 80 MPa p b a b (20 mm)2 1.75 4 L 14.4 kN P2 st a 1K P1 ; d1 d0 pd2 0 b 4 st pd2 1 a b K4 20 mm L 15.1 mm 11.75 L d2 1 K d2 0 ; Enlarging the bar makes it weaker, not stronger. The ratio of loads is P1/P2 K 1.75 Problem 2.10-7 A stepped bar with a hole (see figure) has widths b 2.4 in. and c 1.6 in. The fillets have radii equal to 0.2 in. What is the diameter dmax of the largest hole that can be drilled through the bar without reducing the load-carrying capacity? Solution 2.10-7 Stepped bar with a hole b 2.4 in. BASED UPON HOLE (Use Fig. 2-63) c 1.6 in. b c1 Fillet radius: R 0.2 in. 2.4 in. bd Pmax Find dmax d s nom c1t BASED UPON FILLETS (Use Fig. 2-64) b 2.4 in. R/c Pmax c 0.125 s nomct 1.6 in. b/c 1.5 smax ct K L 0.317 bt smax R 0.2 in. K 2.10 smax c a b (bt) K b d(in.) 0.3 0.4 0.5 0.6 0.7 diameter of the hole (in.) smax (b d)t K d 1 a1 b btsmax K b d/b K 0.125 0.167 0.208 0.250 0.292 2.66 2.57 2.49 2.41 2.37 Pmax/bt 0.329 0.324 0.318 0.311 0.299 max ...
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