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233_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 233_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 227 SECTION 2.10 Stress Concentrations Solution 2.10-3 Flat bar in tension d b t allowable tensile stress Find Pmax Find K from Fig. 2-64 Pmax s nom ct smax ct K st (b K d)t st d bt a 1 b K b Because t, b, and t are constants, we write: P* Pmax stbt 1 a1 K K P* 0 0.1 0.2 0.3 0.4 thickness t 227 3.00 2.73 2.50 2.35 2.24 0.333 0.330 0.320 0.298 0.268 We observe that Pmax decreases as d/b increases. Therefore, the maximum load occurs when the hole becomes very small. d a :0 b Pmax and K : 3 b stbt 3 ; d b b Problem 2.10-4 A round brass bar of diameter d1 20 mm has upset ends of diameter d2 26 mm (see figure). The lengths of the segments of the bar are L1 0.3 m and L2 0.1 m. Quarter-circular fillets are used at the shoulders of the bar, and the modulus of elasticity of the brass is E 100 GPa. If the bar lengthens by 0.12 mm under a tensile load P, what is the maximum stress max in the bar? Probs. 2.10-4 and 2.10-5 ...
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