Research Article
A Simplified Calculation Method of Length Adjustment of Datum Strand for the Main Cable with Small Sag
Table 2
Comparison of length adjustment results for datum strand in midspan with different sag-span ratios.
| | Sag to span ratio | Sag f0 (m) | Exact solution ΔS (mm) | Perfect solution of parabola theory | Traditional simplified formula | The improved simplified formula I | The improved simplified formula II | | ΔS (mm) | Error (%) | ΔS (mm) | Error (%) | ΔS (mm) | Error (%) | ΔS (mm) | Error (%) |
| | 1/3 | 368.541 | 263.2710 | 252.8554 | −4.0 | 355.5655 | 35.1 | 355.6049 | 35.1 | 355.6622 | 35.1 | | 1/5 | 221.124 | 187.5098 | 182.6118 | −2.6 | 213.3426 | 13.8 | 213.5538 | 13.9 | 213.6111 | 13.9 | | 1/8 | 138.203 | 126.8748 | 125.1264 | −1.4 | 133.3432 | 5.1 | 133.9733 | 5.6 | 134.0305 | 5.6 | | 1/11.14 | 99.221 | 94.3145 | 93.5452 | −0.8 | 95.7347 | 1.5 | 97.0108 | 2.9 | 97.0681 | 2.9 | | 1/15 | 73.708 | 72.3814 | 72.0170 | −0.5 | 71.1206 | −1.7 | 73.4794 | 1.5 | 73.5367 | 1.6 | | 1/20 | 55.281 | 57.1265 | 56.9534 | −0.3 | 53.3429 | −6.6 | 57.5804 | 0.8 | 57.6377 | 0.9 | | 1/50 | 22.112 | 47.6561 | 48.0732 | 0.9 | 21.3426 | −55.2 | 48.1141 | 1.0 | 48.1714 | 1.1 | | 1/70 | 15.7946 | 66.457 | 67.2319 | 1.2 | 15.3346 | −76.9 | 67.2471 | 1.2 | 67.3044 | 1.3 |
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