Page 28 - Pipeline Rules of Thumb Handbook

General Information 15

Properties of shafting

Area Weight Weight SECTION MODULUS MOMENT OF INERTIA Radius
of per per of
Diameter of Shaft, Inches Shaft Inch Foot Bending Torsion Bending Torsion Gyration

15 / 16 . . . . . . . . . . . . . . . . . . . .6903 .195 2.34 .0809 .1618 .0379 .0758 .2343
3
1 / 16 . . . . . . . . . . . . . . . . . . . 1.1075 .314 3.76 .1644 .3288 .0976 .1952 .2969
7
1 / 16 . . . . . . . . . . . . . . . . . . . 1.6230 .460 5.52 .2916 .5832 .2096 .4192 .3594
11
1 / 16 . . . . . . . . . . . . . . . . . . 2.2365 .634 7.61 .4718 .9435 .3981 .7961 .4219
15
1 / 16 . . . . . . . . . . . . . . . . . . 2.9483 .835 10.03 .7140 1.4281 .6971 1.3835 .4844
3
2 / 16 . . . . . . . . . . . . . . . . . . . 3.7583 1.06 12.78 1.0276 2.0553 1.1240 2.2480 .5469
7
2 / 16 . . . . . . . . . . . . . . . . . . . 4.6664 1.32 15.86 1.4218 2.8436 1.7328 3.4656 .6094
11
2 / 16 . . . . . . . . . . . . . . . . . . 5.6727 1.61 19.29 1.9057 3.8113 2.5607 5.1215 .6719
15
2 / 16 . . . . . . . . . . . . . . . . . . 6.7771 1.92 23.04 2.4885 4.9770 3.6549 7.3099 .7344
3
3 / 16 . . . . . . . . . . . . . . . . . . . 7.9798 2.26 27.12 3.1794 6.3589 5.0672 10.1345 .7969
7
3 / 16 . . . . . . . . . . . . . . . . . . . 9.2806 2.63 31.56 3.9878 7.9755 6.8539 13.7079 .8594
11
3 / 16 . . . . . . . . . . . . . . . . . . 10.680 3.03 36.31 4.9226 9.8452 9.0761 18.1521 .9219
15
3 / 16 . . . . . . . . . . . . . . . . . . 12.177 3.45 41.40 5.9932 11.9865 11.7992 23.5984 .9844
7
4 / 16 . . . . . . . . . . . . . . . . . . . 15.466 4.38 52.58 8.5786 17.1571 19.0337 38.0674 1.1094
15
4 / 16 . . . . . . . . . . . . . . . . . . 19.147 5.43 65.10 11.8174 23.6348 29.1742 58.3483 1.2344
5 . . . . . . . . . . . . . . . . . . . 19.635 5.56 66.76 12.2718 24.5437 30.6796 61.3592 1.2500
7
5 / 16 . . . . . . . . . . . . . . . . . . . 23.221 6.58 78.96 15.7833 31.5666 42.9108 85.8217 1.3594
1
5 / 2 . . . . . . . . . . . . . . . . . . . 23.758 6.73 80.78 16.3338 32.6677 44.9180 89.8361 1.3750
15
5 / 16 . . . . . . . . . . . . . . . . . . 27.688 7.85 94.14 20.5499 41.0999 61.0077 122.0153 1.4844
6 . . . . . . . . . . . . . . . . . . . 28.274 8.01 96.12 21.2058 42.4115 63.6172 127.2345 1.5000
1
6 / 2 . . . . . . . . . . . . . . . . . . . 33.183 9.40 112.82 26.9612 53.9225 87.6240 175.2481 1.6250
7 . . . . . . . . . . . . . . . . . . . 38.485 10.90 130.84 33.6739 67.3479 117.8588 235.7176 1.7500
1
7 / 2 . . . . . . . . . . . . . . . . . . . 44.179 12.52 150.21 41.4175 82.8350 155.3155 310.6311 1.8750
8 . . . . . . . . . . . . . . . . . . . 50.265 14.24 170.90 50.2655 100.5310 201.0619 402.1239 2.0000
Steel shaft sizes calculated for strength
(
C. H.P.)
Base Formula: d =
N
Base Fiber Stress = 60,000 lb. sq in.
H.P. H.P.
Diameter of Shaft, Inches N Diameter of Shaft, Inches N
C = 50 C = 75 C = 100 C = 50 C = 75 C = 100
Very Average Very Severe Very Average Very Severe
Little Conditions Conditions Little Conditions Conditions
Bending of Bending of Bending Bending of Bending of Bending
Fractional Decimal Fac. Saf. 9.4 Fac. Saf. 14.1 Fac. Saf. 18.8 Fractional Decimal Fac. Saf. 9.4 Fac. Saf. 14.1 Fac. Saf. 18.8
1 0.0625 0.000004883 0.000003256 0.000002492 11 0.6875 0.006500 0.004333 0.003250
/ 16 / 16
1 0.125 0.00003905 0.00002604 0.00001953 3 0.75 0.008439 0.005626 0.004220
/ 8 / 4
3 0.1875 0.0001318 0.00008788 0.00006592 13 0.8125 0.01074 0.007155 0.005367
/ 16 / 16
1 0.25 0.0003124 0.0002083 0.0001563 7 0.875 0.01340 0.008932 0.006699
/ 4 / 8
5 0.3125 0.0006105 0.0004070 0.0003053 15 0.9375 0.01647 0.01098 0.008235
/ 16 / 16
3 0.375 0.001054 0.0007030 0.0005272 1 1. 0.02000 0.01333 0.01000
/ 8
7 0.4375 0.001675 0.001116 0.0008375 1 1.0625 0.02396 0.01598 0.01199
/ 16 1 / 16
1 0.5 0.002500 0.001666 0.001250 1 1.125 0.02846 0.01898 0.01423
/ 2 1 / 8
9 0.5625 0.003558 0.002372 0.001779 3 1.1875 0.03353 0.02236 0.01677
/ 16 1 / 16
5 0.625 0.004883 0.003256 0.002442 1 1.25 0.03905 0.02604 0.01953
/ 8 1 / 4
(table continued on next page)