Shotcrete Thickness
Screen ideal cylindrical shotcrete membrane thickness by pressure×radius/allowable stress; excludes bending, early-age strength, bond and buckling.
Description
An ideal curved membrane supports pressure through compression.
An ideal curved membrane supports pressure through compression. This simplified thickness calculation scales pressure-radius demand by a supplied design factor.
The tool returns idealMembraneThicknessMm (ideal membrane thickness mm). Input measurements and model parameters are supplied by the caller; the tool computes the stated summary rather than acquiring those measurements.
When to use Shotcrete Thickness
Use Shotcrete Thickness when you already have designPressureKpa, curvatureRadiusM, allowableCompressiveStressMpa, designFactor and want idealMembraneThicknessMm. This is useful for checking a supplied calculation, documenting a measurement convention, or comparing observations prepared on the same basis.
How to use Shotcrete Thickness and understand its results
- Enter designPressureKpa, curvatureRadiusM, allowableCompressiveStressMpa, designFactor using the field table below. Match the units, ordering and data boundaries described in the calculation.
- Run the tool after checking the stated bounds and matching paired observations or categories. A malformed request gives a tool error rather than a usable measurement.
- Read idealMembraneThicknessMm. Use the calculation and interpretation below to distinguish amounts, ratios, signs and decision flags where applicable.
- Review the supplied parameters and assumptions before using the result in a report or comparing it with another observation.
| Input field | Meaning | Value type and bounds | Requirement |
|---|---|---|---|
| designPressureKpa | Design pressure kpa | number | Required |
| curvatureRadiusM | Curvature radius m | number | Required |
| allowableCompressiveStressMpa | Allowable compressive stress mpa | number | Required |
| designFactor | Design factor | number | Required |
Require positive pressure, radius and allowable stress, with factor at least one. The pressure and stress unit conversions cancel the m-to-mm conversion.
thicknessMm = pressureKPa×radiusM×designFactor/allowableStressMPa The symbols refer to the supplied quantities or generated values described above; unit conversions and comparison boundaries follow the stated implementation.
{
"input": {
"designPressureKpa": 100,
"curvatureRadiusM": 2,
"allowableCompressiveStressMpa": 10,
"designFactor": 2
},
"output": {
"idealMembraneThicknessMm": 40
}
}Limitations and assumptions
The membrane model omits bending, buckling, joints, adhesion and ground interaction. No support adequacy or design-code compliance is established.
Numerical inputs must be finite. The tool checks its declared input shape and calculation constraints; those checks do not verify the quality, calibration or representativeness of the supplied observations.
Alternative or Complementary methods
Shotcrete Volume: Estimate placed and batch volumes with rebound as a fraction of delivered batch; support adequacy is external. Rock Bolt Spacing: Calculate square-grid tributary-load bolt-spacing screen; anchorage, wedges, corrosion and dynamics are not modeled or certified.
Methodological background: Pillar and Roof Span Design Guidelines for Underground Stone Mines.1
References
-
Pillar and Roof Span Design Guidelines for Underground Stone Mines — NIOSH, Centers for Disease Control and Prevention
Similar or alternative tools
- Shotcrete Volume
Estimate placed and batch volumes with rebound as a fraction of delivered batch; support adequacy is external.
- Rock Bolt Spacing
Calculate square-grid tributary-load bolt-spacing screen; anchorage, wedges, corrosion and dynamics are not modeled or certified.