Geology Geomechanics Brazilian Tensile Strength Calculator

Ideal Brazilianrockdisk diametral tensile stress2P/(πDt), actual valid test/specimen and crack mode independently qualified. Not direct tensile strength, compressive stress or generalized anisotropic solution.

Description

The Brazilian test estimates tensile stress from diametral loading of a disk.

The Brazilian test estimates tensile stress from diametral loading of a disk.1

Geometry and qualified failure conditions determine whether the ideal expression applies. Use this tool to calculate the stated observation or conditional model from supplied measurements.

When to use Geology Geomechanics Brazilian Tensile Strength Calculator

Use this tool to calculate the stated observation or conditional model from supplied measurements. Establish the sample and coordinate basis, matching units, calibration source and applicable model assumptions.

How to use Geology Geomechanics Brazilian Tensile Strength Calculator and understand its results

  1. Establish the sample and coordinate basis, matching units, calibration source and applicable model assumptions.
  2. Enter actualQualifiedDiametralFailureForceNewtons, actualDiskDiameterMeters, actualDiskThicknessMeters, using the field meanings and rules below, then run the tool.
  3. Read result.conditionalBrazilianTensileStressPascals. Interpret each field using the units, signs and evidence rules below.
  4. If input validation fails, correct the reported field and run again. Before applying a successful result, check the stated reference scope, units, assumptions and any retained unknown evidence.
Input fieldMeaningValue typeRequirement
actualQualifiedDiametralFailureForceNewtonsActual qualified diametral failure force newtonsnumberRequired
actualDiskDiameterMetersActual disk diameter metersnumberRequired
actualDiskThicknessMetersActual disk thickness metersnumberRequired

Require nonnegative qualified diametral failure force and positive disk diameter/thickness in meters. Return 2×force/(pi×diameter×thickness) in pascals. No failure-pattern recognition or test-validity assessment is performed.

tensileStressPa=2×forceNewtons/(pi×diameterMeters×thicknessMeters)

Apply the field units and exact ordering, boundary and evidence rules above.

Output fieldMeaningValue type
resultStructured result containing the calculation or selected reference fields belowobject
result.conditionalBrazilianTensileStressPascalsConditional diametral tensile stress in pascalsnumber
json
{
  "input": {
    "actualQualifiedDiametralFailureForceNewtons": 3,
    "actualDiskDiameterMeters": 2,
    "actualDiskThicknessMeters": 1
  },
  "output": {
    "result": {
      "conditionalBrazilianTensileStressPascals": 0.954929658551372
    }
  }
}

Limitations and assumptions

Geometry and qualified failure conditions determine whether the ideal expression applies. Results depend on the independently established measurement basis and the exact model assumptions above.

Every listed input requires an explicit value. Unexpected fields, incorrect value types, nonfinite numbers and sparse numeric arrays fail validation; tool-specific bounds and alignment rules apply as described above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful calculation that reports a false comparison or retains unknown evidence.

Alternative or Complementary methods

Use Geology Geomechanics Deformation Modulus Hoek Diederichs Calculator to examine a related aspect: Hoek–Diederichs deformation estimates depend on the equation version and empirical rock-mass context.

Use Geology Joint Shear Strength Barton Bandis Calculator where its separate inputs and scope apply: Barton–Bandis joint shear estimates use roughness, compressive strength and effective normal stress.

References

  1. Geology Geomechanics Brazilian Tensile Strength Calculator — tool.io

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