| Literature DB >> 30363065 |
Abstract
BACKGROUND: Increasing the slip resistance of floor surfaces would be desirable, but there is a lack of evidence on whether traction properties are linearly correlated with the topographic features of the floor surfaces or what scales of surface roughness are required to effectively control the slipperiness of floors.Entities:
Keywords: floor surface finishes; operational levels of floor surface roughness; slip resistance; wet, soapy and oily environments
Year: 2017 PMID: 30363065 PMCID: PMC6111121 DOI: 10.1016/j.shaw.2017.05.005
Source DB: PubMed Journal: Saf Health Work ISSN: 2093-7911
Summary of the floor specimens with brief descriptions and surface roughness parameters—Ra, Rt, and Rtm
| Floor surface no. | Floor surface name | Surface roughness parameter (μm) | ||
|---|---|---|---|---|
| 1 | Terrazzo | 0.96 | 8.23 | 4.85 |
| 2 | Smooth vinyl tile | 1.55 | 13.61 | 10.26 |
| 3 | Smooth metal plate | 2.36 | 13.38 | 11.76 |
| 4 | Smooth ceramic tile | 3.43 | 27.50 | 17.29 |
| 5 | Smooth concrete slab | 6.59 | 54.00 | 35.80 |
| 6 | Moderate rough ceramic tile | 14.54 | 85.51 | 61.75 |
| 7 | Moderate rough concrete slab | 32.97 | 337.00 | 224.33 |
| 8 | Rough concrete slab | 44.11 | 226.75 | 159.25 |
| 9 | Rough ceramic tile | 70.94 | 396.80 | 141.00 |
Ra, center line average; Rt, maximum peak-to-valley height; Rtm, maximum mean peak-to-valley height.
Fig. 1Results of dynamic friction tests among the nine floor surfaces and three shoes against the surface roughness parameter, Ra under three different environments. (A) Tap water-covered wet condition. (B) Soapsuds-covered soapy condition. (C) Machine oil-covered oily condition. DFC, dynamic friction coefficient; NR 1, Nitrile Rubber 1; NR 2, Nitrile Rubber 2; PVC, polyvinyl chloride.
Summary of three-way analysis of variance results among the shoes, floors, and environments of wet, soapy, and oily conditions
| Effect on DFC | Sum of squares | Mean square | |||
|---|---|---|---|---|---|
| Intercept | 1 | 10.80729 | 10.80729 | 3727.37 | <0.0001 |
| Floor type* | 8 | 3.69161 | 0.46145 | 159.15 | <0.0001 |
| Environmental condition | 2 | 1.58079 | 0.79039 | 272.6 | <0.0001 |
| Shoe type | 2 | 0.00298 | 0.00149 | 0.51 | 0.6028 |
| Floor type × Environmental condition | 16 | 0.37556 | 0.02347 | 8.1 | <0.0001 |
| Floor type × Shoe type | 16 | 0.11600 | 0.00725 | 2.5 | 0.0133 |
| Environmental condition × Shoe type | 4 | 0.01615 | 0.00404 | 1.39 | 0.2588 |
| Error | 32 | 0.09278 | 0.00290 |
* Floor type as a categorical variable.
df, degrees of freedom; DFC, dynamic friction coefficient.
Additional statistical analysis result: regression analysis between DFCs and three roughness parameters (Ra, Rt, and Rtm) was performed under wet, soapy, and oily environments
| Environment | Model | ||||
|---|---|---|---|---|---|
| Wet | 3 | 0.6428 | 13.80 | <0.0001 | |
| 3 | 0.6936 | 17.35 | <0.0001 | ||
| 3 | 0.6995 | 17.84 | <0.0001 | ||
| Soapy | 3 | 0.8372 | 39.43 | <0.0001 | |
| 3 | 0.8738 | 53.07 | <0.0001 | ||
| 3 | 0.8665 | 49.77 | <0.0001 | ||
| Oily | 3 | 0.9029 | 71.31 | <0.0001 | |
| 3 | 0.9309 | 103.25 | <0.0001 | ||
| 3 | 0.9295 | 101.07 | <0.0001 |
df, degrees of freedom; Ra, center line average; Rt, maximum peak-to-valley height; Rtm, maximum mean peak-to-valley height.
Fig. 2Scattered plots and polynomial regression lines of the DFCs and the three floor surface roughness parameters—Ra, Rt, and Rtm—for the water-covered wet, soapsuds-covered soapy, and machine oil-covered oily conditions, respectively. (A) DFCs versus Ra. (B) DFCs versus Rt. (C) DFCs versus Rtm. DFCs, dynamic friction coefficients.
Detailed statistical analysis result: DFCs were predicted by cubic functions of three roughness parameters (Ra, Rt, and Rtm) under wet, soapy, and oily environments
| Surface condition | Roughness parameter | Variable | Par. estimate | Standard error | |||
|---|---|---|---|---|---|---|---|
| Wet | Intercept | 1 | 0.2188 | 0.0413 | 7.45 | <0.0001* | |
| Linear | 1 | 0.0026 | 0.0095 | −2.34 | 0.0282* | ||
| Quadratic | 1 | 0.0006 | 0.0004 | 3.38 | 0.0026* | ||
| Cubic | 1 | −8.1 × 10−6 | 3.31 × 10−6 | −3.7 | 0.0012* | ||
| Intercept | 1 | 0.2358 | 0.0397 | 7.80 | <0.0001* | ||
| Linear | 1 | −0.0008 | 0.0014 | −2.92 | 0.0078* | ||
| Quadratic | 1 | 2.54 × 10−5 | 8.73 × 10−6 | 4.01 | 0.0006* | ||
| Cubic | 1 | −5.32 × 10−8 | 1.44 × 10−8 | −4.23 | 0.0003* | ||
| Intercept | 1 | 0.2381 | 0.0445 | 7.65 | <0.0001* | ||
| Linear | 1 | −0.0014 | 0.0026 | −3.03 | 0.0060* | ||
| Quadratic | 1 | 5.32 × 10−5 | 2.72 × 10−5 | 3.58 | 0.0016* | ||
| Cubic | 1 | −1.60 × 10−7 | 7.66 × 10−8 | −3.42 | 0.0024* | ||
| Soapy | Intercept | 1 | 0.0251 | 0.0242 | 5.30 | <0.0001* | |
| Linear | 1 | 0.0036 | 0.0056 | 0.28 | 0.7838 | ||
| Quadratic | 1 | 0.0004 | 0.0002 | 1.72 | 0.0990 | ||
| Cubic | 1 | −5.8 × 10−6 | 1.94 × 10−6 | −2.45 | 0.0225* | ||
| Intercept | 1 | 0.0379 | 0.0223 | 5.94 | <0.0001* | ||
| Linear | 1 | −0.0004 | 0.0008 | −0.58 | 0.5684 | ||
| Quadratic | 1 | 1.81 × 10−5 | 4.91 × 10−6 | 2.91 | 0.0079* | ||
| Cubic | 1 | −3.85 × 10−8 | 8.09 × 10−9 | −3.69 | 0.0012* | ||
| Intercept | 1 | 0.0493 | 0.0246 | 5.35 | <0.0001* | ||
| Linear | 1 | −0.0014 | 0.0014 | −0.54 | 0.5940 | ||
| Quadratic | 1 | 4.61 × 10−5 | 1.5 × 10−6 | 1.95 | 0.0630 | ||
| Cubic | 1 | −1.40 × 10−7 | 4.23 × 10−8 | −2.09 | 0.0479* | ||
| Oily | Intercept | 1 | 0.2188 | 0.0413 | 1.04 | 0.3109 | |
| Linear | 1 | 0.0026 | 0.0095 | 0.65 | 0.5240 | ||
| Quadratic | 1 | 0.0006 | 0.0004 | 2.02 | 0.0552 | ||
| Cubic | 1 | −8.1 × 10−6 | 3.31 × 10−6 | −2.99 | 0.0066* | ||
| Intercept | 1 | 0.2358 | 0.0397 | 1.70 | 0.1023 | ||
| Linear | 1 | −0.0008 | 0.0014 | −0.45 | 0.6582 | ||
| Quadratic | 1 | 2.54 × 10−5 | 8.73 × 10−6 | 3.68 | 0.0012* | ||
| Cubic | 1 | −5.32 × 10−8 | 1.44 × 10−8 | −4.76 | <0.0001* | ||
| Intercept | 1 | 0.2381 | 0.0445 | 2.01 | 0.0564 | ||
| Linear | 1 | −0.0014 | 0.0026 | −0.99 | 0.3346 | ||
| Quadratic | 1 | 5.32 × 10−5 | 2.72 × 10−5 | 3.07 | 0.0054* | ||
| Cubic | 1 | −1.60 × 10−7 | 7.66 × 10−8 | −3.31 | 0.0030* |
* Indicates significant p < 0.05.
df, degrees of freedom; Ra, center line average; Rt, maximum peak-to-valley height; Rtm, maximum mean peak-to-valley height.
Summary of operational ranges (lower and upper bounds) of floor surface roughness parameters under three lubricated environments
| Surface roughness parameters | Optimal operational range (μm) with lower and upper bounds under three environments | ||
|---|---|---|---|
| Wet | Soapy | Oily | |
| 5 (21)–52 | 17–52 | 35–52 | |
| 25 (135)–300 | 120–300 | 210–300 | |
| 15 (80)–180 | 75–180 | 130–180 | |
Ra, center line average; Rt, maximum peak-to-valley height; Rtm, maximum mean peak-to-valley height.