Concrete Shrinkage Crack Control Calculator

Restrained shrinkage nominal tension after independent relaxation compared with independently established tensile threshold, not crack count or control design. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.

Description

Restrained shrinkage can be compared with a tensile threshold through a reduced elastic stress model.

Restrained shrinkage can be compared with a tensile threshold through a reduced elastic stress model.1

Its retention factor represents independently established relaxation assumptions. Use Concrete Shrinkage Crack Control Calculator to evaluate the supplied inputs under the specific model below.

When to use Concrete Shrinkage Crack Control Calculator

Use Concrete Shrinkage Crack Control Calculator to evaluate the supplied inputs under the specific model below. Establish the units, measurement scope and applicable model or recipe assumptions before entering values.

How to use Concrete Shrinkage Crack Control Calculator and understand its results

  1. Establish the units, measurement scope and applicable model or recipe assumptions before entering values.
  2. Enter Caller restrained shrinkage fraction, Caller effective concrete modulus pa, Caller independent relaxation retention fraction, Caller verified tensile threshold pa using the field table and validation rules below, then run the tool.
  3. Read Signed shrinkage tension threshold margin pa and interpret units, signs, ordering and placeholders as explained below.
  4. If the tool reports an input error, correct that field and rerun. A successful false result, empty match list or unknown-evidence placeholder has the specific meaning described here; check the limitations before applying the result.
Input fieldMeaningValue typeRequirement
callerRestrainedShrinkageFractionCaller restrained shrinkage fractionnumberRequired; constraints below
callerEffectiveConcreteModulusPaCaller effective concrete modulus panumberRequired; constraints below
callerIndependentRelaxationRetentionFractionCaller independent relaxation retention fractionnumberRequired; constraints below
callerVerifiedTensileThresholdPaCaller verified tensile threshold panumberRequired; constraints below

Enter nonnegative restrained shrinkage strain and tensile threshold in Pa, a positive effective modulus in Pa and a relaxation-retention fraction from 0 to 1. Subtract strain×modulus×retention from the threshold. A negative margin means the modeled stress exceeds the supplied threshold; shrinkage itself is not bounded to 1 by the implementation.

marginPa = tensileThresholdPa−shrinkageStrain×modulusPa×retentionFraction

Field order, units and branch conditions follow the implementation explanation above.

Output fieldMeaningValue type
signedShrinkageTensionThresholdMarginPaSigned shrinkage tension threshold margin panumber
json
{
  "input": {
    "callerRestrainedShrinkageFraction": 0.001,
    "callerEffectiveConcreteModulusPa": 10000,
    "callerIndependentRelaxationRetentionFraction": 0.5,
    "callerVerifiedTensileThresholdPa": 4
  },
  "output": {
    "signedShrinkageTensionThresholdMarginPa": -1
  }
}

Limitations and assumptions

Its retention factor represents independently established relaxation assumptions. Apply the exact scope and assumptions described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are stated above; extremely large inputs or outputs can also be rejected. These errors differ from successful results such as false, no matches or unknown evidence.

Alternative or Complementary methods

Use Composite Slab Shear Bond Calculator for a related task: An m-k shear-bond model combines experimentally supplied coefficients with slab geometry.

Use Bracket Plate Yield Calculator for a related task: A rectangular plate's plastic moment can be converted into an ideal cantilever point load.

References

  1. Concrete Shrinkage Crack Control Calculator — tool.io

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