02-07ChapGere.0003

02-07ChapGere.0003 - 162 A-PDF Axially Loaded : Purchase...

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162 CHAPTER 2 Axially Loaded Members Problem 2.10-4 A round brass bar of diameter d 1 5 20 mm has upset ends of diameter d 2 5 26 mm (see figure). The lengths of the segments of the bar are L 1 5 0.3 m and L 2 5 0.1 m. Quarter-circular fillets are used at the shoulders of the bar, and the modulus of elasticity of the brass is E 5 100 GPa. If the bar lengthens by 0.12 mm under a tensile load P , what is the maximum stress s max in the bar? L 1 d 1 d 2 d 2 L 2 L 2 P P P P b d t 5 thickness s t 5 allowable tensile stress Find P max Find K from Fig. 2-64 Because s t , b , and t are constants, we write: P * 5 P max s t bt 5 1 K ¢ 1 2 d b 5 s t K bt ¢ 1 2 d b P max 5 s nom ct 5 s max K ct 5 s t K ( b 2 d ) t We observe that P max decreases as d / b increases. Therefore, the maximum load occurs when the hole
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