20_ch 10 Mechanical Design budynas_SM_ch10

20_ch 10 Mechanical Design budynas_SM_ch10 -...

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Body: K B = 4 C + 2 4 C 3 = 4(4 . 590) + 2 4(4 . 590) 3 = 1 . 326 τ max = 8 K B F max D π d 3 = 8(1 . 326)(18)(0 . 3075) π (0 . 067) 3 (10 3 ) = 62 . 1 kpsi ( n y ) body = S sy τ max = 105 . 3 62 . 1 = 1 . 70 r 2 = 2 d = 2(0 . 067) = 0 . 134 in, C 2 = 2 r 2 d = 2(0 . 134) 0 . 067 = 4 ( K ) B = 4 C 2 1 4 C 2 4 = 4(4) 1 4(4) 4 = 1 . 25 τ B = ( K ) B ± 8 F max D π d 3 ² = 1 . 25 ± 8(18)(0 . 3075) π (0 . 067) 3 ² (10 3 ) = 58 . 58 kpsi ( n y ) B = S sy τ B = 105 . 3 58 . 58 = 1 . 80 fom =− (1) π 2 d 2 ( N b + 2) D 4 =− π 2 (0 . 067) 2 (44 . 88 + 2)(0 . 3075) 4 =− 0 . 160 Several diameters, evaluated using a spreadsheet, are shown below. d : 0.067 0.072 0.076 0.081 0.085 0.09 0.095 0.104 S ut 233.977 230.799 228.441 225.692 223.634 221.219 218.958 215.224 S sy 105.290 103.860 102.798 101.561 100.635 99.548 98.531 96.851 S y 175.483 173.100 171.331 169.269 167.726 165.914 164.218 161.418 C 4.589 5.412 6.099 6.993 7.738 8.708 9.721 11.650 D 0.307 0.390 0.463 0.566 0.658 0.784 0.923 1.212 F i (calc) 6.505 5.773 5.257 4.675 4.251 3.764 3.320 2.621 F i (rd) 7.0 6.0 5.5 5.0 4.5 4.0 3.5 3.0 k 22.000 24.000 25.000 26.000 27.000 28.000 29.000 30.000 N a 45.29 27.20 19.27 13.10 9.77 7.00 5.13 3.15 N b 44.89 26.80 18.86 12.69 9.36 6.59 4.72 2.75 L 0 3.556 2.637 2.285 2.080 2.026 2.071 2.201 2.605 L 18 lbf 4.056 3.137 2.785 2.580 2.526 2.571
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