- For A Simply Supported Beam With A Centered 1500 Lb Dead Weight Of The Pump Shown On A Beam With Length 10 Ft Find Th 1 (71.19 KiB) Viewed 40 times
For a simply supported beam with a centered 1500 lb (dead weight of the pump shown) on a beam with length 10 ft, find the natural frequency (rad/sec) and period of vibration for each of the following different constructions: -carbon steel, 6x6x4 square tubing -carbon steel, 6x2x4 nominal size rectangular tubing (major axis) -carbon steel, 6x2x4 nominal size rectangular tubing (minor axis) (see next pg for table with sectional properties)
TABLE A16-5 Properties of steel structural tubing, square and rectangular* Axis X-X Weight per foot I S Area (in²) Size (lb) (in) (in³) (in) 8×8 × 1/2 14.4 48.9 3.03 8 X 8 X 1/4 25.8 3.15 35.2 2.69 8 x 4 x 1/2 8 × 4 × 14 8×2x 1/4 19.0 2.84 15.6 2.56 6 X 6 X 1/2 35.2 2.21 6 x 6 x 1/4 5.59 19.0 2.33 6 x 4 x 1/4 4.59 15.6 7.36 2.19 6 x 2 x 1/4 3.59 12.2 4.60 1.96 4 x 4 x 1/2 6.36 21.6 6.13 1.39 3.59 12.2 8.22 4.11 1.51 4 x 4 x 1/4 4x2 x 1/4 2.59 8.81 4.69 2.35 1.35 3 x 3 x 1/4 2.59 8.81 3.16 2.10 1.10 3 x 2 x 1/4 2.09 7.11 2.21 1.47 1.03 2×2× 1/4 1.59 5.41 0.766 0.766 0.694 *Data are taken from a variety of sources. Sizes listed represent a small sample of the sizes available. Notes: Example size: 6 x 4 x 1/4 6 = vertical depth (in); 4= width (in); 1/4= wall thickness (in). /= moment of inertia: S = section modulus; r = radius of gyration. 7.59 10.4 5.59 4.59 10.4 131 75.1 75.1 45.1 30.1 50.5 30.3 22.1 13.8 12.3 32.9 18.8 18.8 11.3 7.52 16.8 10.1 (int) 131 75.1 24.6 15.3 3.08 50.5 30.3 11.7 2.31 12.3 8.22 1.54 3.16 1.15 0.766 Axis Y-Y S (in³) 32.9 18.8 12.3 7.63 3.08 16.8 10.1 5.87 2.31 6.13 4.11 1.54 2.10 1.15 0.766 (in) 3.03 3.15 1.54 1.65 0.819 2.21 2.33 1.60 0.802 1.39 1.51 0.770 1.10 0.742 0.694