Table 2.
Twist-to-bend ratios calculated for the artificial cross-sections shown in figure 3. Vascular bundles of the standard cross-sections were replaced either by strands of collenchyma fibres or by sclerenchyma fibres. The highest value for each geometry is shown in italics. Twist-to-bend ratios of the fibre-modified cross-sections were normalized to the value of the standard cross-sections. Resulting change factors indicate an increase (greater than 1.0) or decrease (less than 1.0) of the twist-to-bend ratio.
| vasc. bundles | collenchyma | sclerenchyma | change factor | change factor | ||
|---|---|---|---|---|---|---|
| geometry | artificial design | twist-to-bend ratio Dmin/Dz | twist-to-bend ratio Dmin/Dz | twist-to-bend ratio Dmin/Dz | collenchyma/vasc. bundles | sclerenchyma/vasc. bundles |
| circle | (a.1) | 1.36 | 1.37 | 1.37 | 1.00 | 1.01 |
| (a.2) | 4.53 | 9.18 | 66.36 | 2.03 | 14.64 | |
| (a.3) | 1.37 | 1.39 | 1.38 | 1.01 | 1.01 | |
| (a.4) | 8.56 | 19.09 | 124.23 | 2.23 | 14.51 | |
| (a.5) | 5.91 | 12.67 | 73.05 | 2.14 | 12.36 | |
| (a.6) | 9.12 | 20.13 | 131.62 | 2.21 | 14.43 | |
| ellipse | (b.1) | 0.85 | 0.86 | 0.86 | 1.00 | 1.00 |
| (b.2) | 2.99 | 5.95 | 30.19 | 1.99 | 10.10 | |
| (b.3) | 0.86 | 0.86 | 0.87 | 1.00 | 1.00 | |
| (b.4) | 6.57 | 14.52 | 88.11 | 2.21 | 13.50 | |
| (b.5) | 4.90 | 10.40 | 53.92 | 2.12 | 11.00 | |
| (b.6) | 6.84 | 15.24 | 92.29 | 2.23 | 13.50 | |
| square | (c.1) | 1.54 | 1.50 | 1.45 | 0.98 | 0.95 |
| (c.2) | 10.76 | 23.38 | 147.72 | 2.17 | 13.73 | |
| (c.3) | 1.77 | 1.79 | 1.80 | 1.01 | 1.02 | |
| (c.4) | 11.07 | 24.49 | 154.40 | 2.21 | 13.95 | |
| (c.5) | 6.52 | 13.46 | 71.89 | 2.06 | 11.02 | |
| (c.6) | 11.68 | 25.98 | 165.11 | 2.22 | 14.14 | |
| (c.7) | 15.45 | 29.93 | 80.07 | 1.94 | 5.18 | |
| triangle | (d.1) | 2.15 | 2.11 | 2.05 | 0.98 | 0.95 |
| (d.2) | 16.49 | 34.42 | 143.70 | 2.09 | 8.71 | |
| (d.3) | 2.18 | 2.18 | 2.17 | 1.00 | 1.00 | |
| (d.4) | 15.72 | 34.42 | 181.23 | 2.17 | 11.53 | |
| (d.5) | 9.19 | 18.62 | 87.86 | 2.03 | 9.56 | |
| (d.6) | 16.52 | 36.08 | 195.90 | 2.18 | 11.86 | |
| (d.7) | 26.31 | 45.79 | 90.02 | 1.74 | 3.42 | |
| U-profile | (e.1) | 2.41 | 2.29 | 2.19 | 0.95 | 0.91 |
| (e.2) | 9.72 | 19.05 | 70.76 | 1.96 | 7.28 | |
| (e.3) | 1.95 | 2.10 | 2.44 | 1.07 | 1.25 | |
| (e.4) | 12.81 | 26.35 | 113.86 | 2.06 | 8.89 | |
| (e.5) | 11.55 | 23.20 | 90.71 | 2.01 | 7.85 | |
| (e.6) | 13.60 | 28.07 | 125.67 | 2.06 | 9.24 |