Table 14. Torsion Spring Deflections
AMW Wire Gauge Decimal Equivalent a Design Stress, kpsi
1 .010 232
2 .011 229
3 .012 226
4 .013 224
5 .014 221
6 .016 217
7 .018 214
8 .020 210
9 .022 207
10 .024 205
11 .026 202
12 .029 199
13 .031 197
14 .033 196
15 .035 194
16 .037
192 Torque, pound-inch .0228 .0299 .0383 .0483 .0596 .0873 .1226 .1650 .2164 .2783 .3486 .4766 .5763 .6917 .8168 .9550 Inside Diameter, inch Deflection, degrees per coil 1 ∕ 16 0.0625 22.35 20.33 18.64 17.29 16.05 14.15 18.72 11.51 10.56 9.818 9.137 8.343 7.896 … … … 5 ∕ 64 0.078125 27.17 24.66 22.55 20.86 19.32 16.96 15.19 13.69 12.52 11.59 10.75 9.768 9.215 … … … 3 ∕ 32 0.09375 31.98 28.98 26.47 24.44 22.60 19.78 17.65 15.87 14.47 13.36 12.36 11.19 10.53 10.18 9.646 9.171 7 ∕ 64 0.109375 36.80 33.30 30.38 28.02 25.88 22.60 20.12 18.05 16.43 15.14 13.98 12.62 11.85 11.43 10.82 10.27 1 ∕ 8 0.125 41.62 37.62 34.29 31.60 29.16 25.41 22.59 20.23 18.38 16.91 15.59 14.04 13.17 12.68 11.99 11.36 9 ∕ 64 0.140625 46.44 41.94 38.20 35.17 32.43 28.23 25.06 22.41 20.33 18.69 17.20 15.47 14.49 13.94 13.16 12.46 5 ∕ 32 0.15625 51.25 46.27 42.11 38.75 35.71 31.04 27.53 24.59 22.29 20.46 18.82 16.89 15.81 15.19 14.33 13.56 3 ∕ 16 0.1875 60.89 54.91 49.93 45.91 42.27 36.67 32.47 28.95 26.19 24.01 22.04 19.74 18.45 17.70 16.67 15.75 7 ∕ 32 0.21875 70.52 63.56 57.75 53.06 48.82 42.31 37.40 33.31 30.10 27.55 25.27 22.59 21.09 20.21 19.01 17.94 1 ∕ 4 0.250 80.15 72.20 65.57 60.22 55.38 47.94 42.34 37.67 34.01 31.10 28.49 25.44 23.73 22.72 21.35 20.13 AMW Wire Gauge Decimal Equivalent a 17 .039 18 .041 19 .043 20 .045 21 .047 22 .049 23 .051 24 .055 25 .059 26 .063 27 .067 28 .071 29 .075 30 .080 31 .085 Design Stress, kpsi 190 188 187 185 184 183 182 180 178 176 174 173 171 169 167 Torque, pound-inch 1.107 1.272 1.460 1.655 1.876 2.114 2.371 2.941 3.590 4.322 5.139 6.080 7.084 8.497 10.07 Inside Diameter, inch Deflection, degrees per coil 1 ∕ 8 0.125 10.80 10.29 9.876 9.447 9.102 8.784 … … … … … … … … … 9 ∕ 64 0.140625 11.83 11.26 10.79 10.32 9.929 9.572 9.244 8.654 8.141 … … … … … … 5 ∕ 32 0.15625 12.86 12.23 11.71 11.18 10.76 10.36 9.997 9.345 8.778 8.279 7.975 … … … … 3 ∕ 16 0.1875 14.92 14.16 13.55 12.92 12.41 11.94 11.50 10.73 10.05 9.459 9.091 8.663 8.232 7.772 7.364 7 ∕ 32 0.21875 16.97 16.10 15.39 14.66 14.06 13.52 13.01 12.11 11.33 10.64 10.21 9.711 9.212 8.680 8.208 1 ∕ 4 0.250 19.03 18.04 17.22 16.39 15.72 15.09 14.52 13.49 12.60 11.82 11.32 10.76 10.19 9.588 9.053 a For sizes up to 13 gauge, the table values are for music wire with a modulus E of 29,000,000 psi; and for sizes from 27 to 31 gauge, the values are for oil-tempered MB with a modulus of 28,500,000 psi.
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