231_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

231_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: Sec_2.8-2.12.qxd 9/25/08 11:44 AM Page 225 SECTION 2.10 Stress Concentrations Solution 2.10-1 P 3.0 k Flat bars in tension t (b) STEPPED BAR WITH SHOULDER FILLETS 0.25 in. (a) BAR WITH CIRCULAR HOLE (b 6 in.) FOR d 1 in.: s nom P ct max c 5 in. 2.40 ksi k s nom P ct b c 2.5 in.; Obtain k from Fig. 2-64 3.0 k (2.5 in.) (0.25 in.) P ct FOR R 0.25 in.: R/c k 2.30 K max K 0.2 K max b/c nom 1.60 ; 11.0 ksi nom 0.5 in.: R/c 1.87 0.1 4.80 ksi b/c 1.60 9.0 ksi ; ; 6.2 ksi nom 4.0 in. FOR R 1 K L 2.60 6 2 in.: c max d 3.0 k (5 in.) (0.25 in.) FOR d d/b b b s nom Obtain K from Fig. 2-63 d/b 225 d 4 in. 3.0 k (4 in.) (0.25 in.) 3.00 ksi 1 K L 2.31 3 K nom 6.9 ksi ; Problem 2.10-2 The flat bars shown in parts (a) and (b) of the figure are subjected to tensile forces P t 5.0 mm. 2.5 kN. Each bar has thickness P (a) For the bar with a circular hole, determine the maximum stresses for hole diameters d 12 mm and d 20 mm if the width b 60 mm. (b) For the stepped bar with shoulder fillets, determine the maximum stresses for fillet radii R 6 mm and R 10 mm if the bar widths are b 60 mm and c 40 mm. P d b (a) R P c b (b) P ...
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