RC Beam Moment Capacity Calculator

Force-balanced caller uniform concrete block and independently verified yielded steel; no strength-reduction factor or strain classification assumed. 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

A yielded-steel rectangular-block model estimates nominal beam moment resistance.

A yielded-steel rectangular-block model estimates nominal beam moment resistance.1

The yield branch and material model must be established independently before using the force couple. Use this tool to calculate RC Beam Moment Capacity from the supplied measurements and assumptions.

When to use RC Beam Moment Capacity Calculator

Use this tool to calculate RC Beam Moment Capacity from the supplied measurements and assumptions. Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.

How to use RC Beam Moment Capacity Calculator and understand its results

  1. Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
  2. Enter tensionSteelAreaM2, callerSteelYieldPa, callerConcreteBlockStressPa, sectionWidthM, effectiveDepthM, callerTensionYieldBranchVerified, using the field meanings and rules below, then run the tool.
  3. Read equivalentCompressionBlockDepthM, nominalRcMomentNm. Interpret the fields using their units, signs and evidence conventions below.
  4. If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
Input fieldMeaningValue typeRequirement
tensionSteelAreaM2Tension steel area m2numberRequired
callerSteelYieldPaCaller steel yield panumberRequired
callerConcreteBlockStressPaCaller concrete block stress panumberRequired
sectionWidthMSection width mnumberRequired
effectiveDepthMEffective depth mnumberRequired
callerTensionYieldBranchVerifiedCaller tension yield branch verifiedbooleanRequired

Enter positive steel area, steel yield stress, rectangular-block stress, width and effective depth in SI units with an independently verified yielded-steel branch boolean true. Compute block depth a=Asfy/(blockStress×width), requiring a<effectiveDepth. Return nominal Asfy×(d−a/2) in N·m. No strain compatibility or strength-reduction factor is determined.

a=As×fy/(blockStress×width); nominalMomentNm=As×fy×(d−a/2)

Use the exact units, boundary rules, ordering and missing-evidence conventions above.

Output fieldMeaningValue type
equivalentCompressionBlockDepthMEquivalent Compression Block Depth M; follow the units, sign, ordering and evidence convention stated abovenumber
nominalRcMomentNmNominal Rc Moment Nm; follow the units, sign, ordering and evidence convention stated abovenumber
json
{
  "input": {
    "tensionSteelAreaM2": 0.01,
    "callerSteelYieldPa": 100,
    "callerConcreteBlockStressPa": 10,
    "sectionWidthM": 1,
    "effectiveDepthM": 1,
    "callerTensionYieldBranchVerified": true
  },
  "output": {
    "equivalentCompressionBlockDepthM": 0.1,
    "nominalRcMomentNm": 0.95
  }
}

Limitations and assumptions

The yield branch and material model must be established independently before using the force couple. Interpretation depends on the units, sampling scope and exact model described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.

Alternative or Complementary methods

Use RC Shear Capacity Calculator for this related task: A reinforced-concrete shear model combines a supplied concrete contribution with a reinforcement contribution.

Use Two-Way Slab Effective Depth Calculator when its separate inputs and assumptions fit the question: Effective slab depth measures from a reference face to a selected reinforcement layer.

References

  1. RC Beam Moment Capacity Calculator — tool.io

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