Quantitative Evaluation of Sand Shape and Roundness and Their Potential Effect on Stability of Sand-based Athletic Fields
Deying Li, David D. Minner, and Nick E. Christians
Playing surface stability of a sports field has often been a problem for sand-based media. Many factors, such as particle size, particle-size gradation, shape/roundness, water content, and plant materials may affect the surface stability. The relative importance of these factors is not clearly understood. The primary objective of this study was to evaluate shape and roundness of sand particles quantitatively so that they can be compared with other factors in terms of their contributions to the surface stability.
Materials and Methods
Mason sand, concrete sand, silica sand, crushed brick, and crushed stone were used in this study to cover a wide range of shapes and roundness based on visual observation. In order to test the methodology, we used glass beads as the base line. We also crushed glass to make a very angular sample. All materials were washed free of silt- and clay-sized particles and oven dried before use in evaluation. A roughness index (Ir) was proposed as the ratio of the particle surface area to the area of a sphere of the same volume. Surface areas were determined by coating the materials with aniline blue dye and measuring the light absorption of the dye washed off the particle surface. Angle at repose, coefficient of uniformity (CU), coefficient of friction (CF), and two-dimensional image analysis were also included in the evaluation of the materials.
Results
Principle component analysis indicated that only three factors angle at repose, CU, and Ir, are necessary to explain 98.5% of the variance contributing to surface stability of sand-based media. The results of this study showed that shape and roundness of sand grains could be expressed by Ir, which is sensitive and convenient for picking out the differences between materials. Two-dimensional image analysis, which returns form factor, roundness, and aspect ratio, provided insufficient separation of the diverse sands evaluated in this study.
No endorsement of products or firms is intended, nor is criticism implied of those not mentioned.
Table 1. A comparison of the effectiveness of different factors for bulk samples in predicting sand stability.
|
Materials |
Angle at repose |
CU |
CF |
Ir |
Form factor |
Roundness |
Aspect ratio |
|
degree |
|||||||
|
Glass bead |
23.4 |
6.44 |
0.60 |
1.00 |
0.89 |
0.95 |
1.06 |
|
Crushed glass |
39.7 |
6.44 |
0.91 |
6.68 |
0.65 |
0.63 |
1.69 |
|
DF-1000 |
38.5 |
3.38 |
0.95 |
4.31 |
0.77 |
0.73 |
1.41 |
|
Florida superior 220 |
35.4 |
2.73 |
0.81 |
1.90 |
0.77 |
0.71 |
1.45 |
|
Silica sand |
36.2 |
2.89 |
0.89 |
1.53 |
0.79 |
0.77 |
1.33 |
|
Crushed brick |
38.9 |
131.25 |
1.04 |
- |
0.74 |
0.70 |
1.50 |
|
Bunker white |
36.2 |
3.27 |
0.85 |
2.11 |
0.77 |
0.73 |
1.42 |
|
Best 535 |
35.0 |
1.90 |
0.98 |
2.61 |
0.80 |
0.73 |
1.40 |
|
Sidley Pro/Angle |
38.2 |
3.89 |
0.96 |
2.38 |
0.75 |
0.71 |
1.45 |
|
Construction sand |
34.1 |
2.43 |
0.82 |
1.61 |
0.79 |
0.75 |
1.37 |
|
Concrete sand |
34.9 |
2.67 |
0.91 |
1.58 |
0.79 |
0.75 |
1.36 |