1_ch 07 Mechanical Design budynas_SM_ch07

1_ch 07 Mechanical Design budynas_SM_ch07 -...

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Unformatted text preview: budynas_SM_ch07.qxd 11/30/2006 15:31 Page 178 FIRST PAGES Chapter 7 7-1 (a) DE-Gerber, Eq. (7-10): A = 4[2.2(600)]2 + 3[1.8(400)]2 1/2 = 2920 lbf · in 2 1/2 = 2391 lbf · in B = 4[2.2(500)]2 + 3[1.8(300)] 1/3 2 1/2 8(2)(2920) 1 + 1 + 2(2391)(30 000) d= π (30 000) 2920(100 000) = 1.016 in Ans. (b) DE-elliptic, Eq. (7-12) can be shown to be d= = A2 B2 +2 2 Se Sy 16n π 2920 30 000 16(2) π 1/3 2 + 2391 80 000 2 1/3 = 1.012 in Ans. (c) DE-Soderberg, Eq. (7-14) can be shown to be d= B 16n A + π Se Sy 1/3 16(2) 2920 2391 = + π 30 000 80 000 = 1.090 in 1/3 Ans. (d) DE-Goodman: Eq. (7-8) can be shown to be d= = 16n π A B + Se Sut 16(2) π 1/3 2920 2391 + 30 000 100 000 Criterion d (in) DE-Gerber DE-elliptic DE-Soderberg DE-Goodman 1.016 1.012 1.090 1.073 1/3 = 1.073 in Ans. Compared to DE-Gerber 0.4% lower 7.3% higher 5.6% higher less conservative more conservative more conservative ...
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