16_ch 10 Mechanical Design budynas_SM_ch10

16_ch 10 Mechanical Design budynas_SM_ch10 - 40.469 S sa...

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276 Solutions Manual • Instructor’s Solution Manual to Accompany Mechanical Engineering Design K B = 4(6 . 97) + 2 4(6 . 97) 3 = 1 . 201 τ a = K B ± 8 F a D π d 3 ² = 1 . 201 ³ 8(7)(0 . 558) π (0 . 08 3 ) (10 3 ) ´ = 23 . 3 kpsi n f = 35 / 23 . 3 = 1 . 50 checks N a = Gd 4 8 kD 3 = 10(10 6 )(0 . 08) 4 8(9 . 5)(0 . 558) 3 = 31 . 02 turns N t = 31 + 2 = 33 turns, L s = dN t = 0 . 08(33) = 2 . 64 in y max = F max / k = 18 / 9 . 5 = 1 . 895 in, y s = (1 + ξ ) y max = (1 + 0 . 15)(1 . 895) = 2 . 179 in L 0 = 2 . 64 + 2 . 179 = 4 . 819 in ( L 0 ) cr = 2 . 63 D α = 2 . 63(0 . 558) 0 . 5 = 2 . 935 in τ s = 1 . 15(18 / 7) τ a = 1 . 15(18 / 7)(23 . 3) = 68 . 9 kpsi n s = S sy s = 85 . 5 / 68 . 9 = 1 . 24 f = µ kg π 2 d 2 DN a γ = µ 9 . 5(386) π 2 (0 . 08 2 )(0 . 558)(31 . 02)(0 . 283) = 109 Hz These steps are easily implemented on a spreadsheet, as shown below, for different diameters. d 1 d 2 d 3 d 4 d 0.080 0.0915 0.1055 0.1205 m 0.146 0.146 0.263 0.263 A 169.000 169.000 128.000 128.000 S ut 244.363 239.618 231.257 223.311 S su 163.723 160.544 154.942 149.618 S sy 85.527 83.866 80.940 78.159 S se 39.452 39.654 40.046
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Unformatted text preview: 40.469 S sa 35.000 35.000 35.000 35.000 23.333 23.333 23.333 23.333 2.785 2.129 1.602 1.228 C 6.977 9.603 13.244 17.702 D 0.558 0.879 1.397 2.133 K B 1.201 1.141 1.100 1.074 a 23.333 23.333 23.333 23.333 n f 1.500 1.500 1.500 1.500 N a 30.893 13.594 5.975 2.858 N t 32.993 15.594 7.975 4.858 L s 2.639 1.427 0.841 0.585 y s 2.179 2.179 2.179 2.179 L 4.818 3.606 3.020 2.764 ( L ) cr 2.936 4.622 7.350 11.220 s 69.000 69.000 69.000 69.000 n s 1.240 1.215 1.173 1.133 f (Hz) 108.895 114.578 118.863 121.775...
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