SP 13 Solution Part (a) – 1" x 0.5" rectangular cross-section L (in) L/h yB (in) yB,shear (in) % yB,shear 1 1 4.754E-05 2.087E-05 43.90 2 2 2.551E-04 4.174E-05 16.36 3 3 7.826E-04 6.261E-05 8.00 4 4 1.790E-03 8.348E-05 4.66 5 5 3.438E-03 1.043E-04 3.04 6 6 5.885E-03 1.252E-04 2.13 7 7 9.293E-03 1.461E-04 1.57 8 8 1.382E-02 1.670E-04 1.21 9 9 1.963E-02 1.878E-04 0.96 10 10 2.688E-02 2.087E-04 0.78 11 11 3.572E-02 2.296E-04 0.64 12 12 4.633E-02 2.504E-04 0.54 13 13 5.886E-02 2.713E-04 0.46 14 14 7.347E-02 2.922E-04 0.40 15 15 9.031E-02 3.130E-04 0.35 16 16 1.096E-01 3.339E-04 0.30 17 17 1.314E-01 3.548E-04 0.27 18 18 1.559E-01 3.757E-04 0.24 19 19 1.833E-01 3.965E-04 0.22 20 20 2.138E-01 4.174E-04 0.20 21 21 2.474E-01 4.383E-04 0.18 22 22 2.844E-01 4.591E-04 0.16 23 23 3.249E-01 4.800E-04 0.15 24 24 3.691E-01 5.009E-04 0.14 25 25 4.172E-01 5.217E-04 0.13Part (b) – 0.798" solid circular (round) cross-section (same area as part (a)) L (in) L/d yB (in) yB,shear (in) % yB,shear 1 1.25 7.517E-05 1.932E-05 25.705 2 2.51 4.855E-04 3.865E-05 7.961 3 3.76 1.566E-03 5.797E-05 3.702 4 5.01 3.652E-03 7.729E-05 2.117 5 6.27 7.078E-03 9.662E-05 1.365 6 7.52 1.218E-02 1.159E-04 0.952 7 8.77 1.929E-02 1.353E-04 0.701 8 10.03 2.875E-02 1.546E-04 0.538 9 11.28 4.089E-02 1.739E-04 0.425 10 12.53 5.604E-02 1.932E-04 0.345 11 13.79 7.455E-02 2.126E-04 0.285 12 15.04 9.674E-02 2.319E-04 0.240 13 16.29 1.230E-01 2.512E-04 0.204 14 17.55 1.535E-01 2.705E-04 0.176 15 18.80 1.888E-01 2.899E-04 0.154 16 20.05 2.291E-01 3.092E-04 0.135 17 21.31 2.747E-01 3.285E-04 0.120 18 22.56 3.261E-01 3.478E-04 0.107 19 23.81 3.834E-01 3.671E-04 0.096 20 25.07 4.472E-01 3.865E-04 0.086 21 26.32 5.176E-01 4.058E-04 0.078 22 27.57 5.951E-01 4.251E-04 0.071 23 28.83 6.800E-01 4.444E-04 0.065 24 30.08 7.725E-01 4.638E-04 0.060 25 31.33 8.731E-01 4.831E-04 0.055 Part (c) – Case (a) is much more efficient, as the total tip deflection is less than half that for case (b), yet they both use the same amount of
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