Earthquake Base Shear Calculator

Sum caller independent effective seismic weights/coefficient and distribute with explicit level weights, not code spectrum or adequate structural 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

Base shear can be represented by a coefficient times effective seismic weight.

Base shear can be represented by a coefficient times effective seismic weight.1

A caller-defined distribution allocates that force without selecting a hazard spectrum or building-code model. Use Earthquake Base Shear Calculator to evaluate the supplied inputs under the specific model below.

When to use Earthquake Base Shear Calculator

Use Earthquake Base Shear 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 Earthquake Base Shear Calculator and understand its results

  1. Establish the units, measurement scope and applicable model or recipe assumptions before entering values.
  2. Enter Caller verified effective seismic weights n, Caller matched base shear coefficient, Caller height distribution weights using the field table and validation rules below, then run the tool.
  3. Read Caller modeled base shear n, Lateral forces by level n 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
callerVerifiedEffectiveSeismicWeightsNCaller verified effective seismic weights narray of numberRequired; constraints below
callerMatchedBaseShearCoefficientCaller matched base shear coefficientnumberRequired; constraints below
callerHeightDistributionWeightsCaller height distribution weightsarray of numberRequired; constraints below

Enter aligned nonempty nonnegative seismic weights in N and caller-selected height-distribution weights, plus a nonnegative base-shear coefficient. Distribution weights must have positive total. Multiply total seismic weight by the coefficient, then allocate that force in proportion to the supplied distribution weights. The tool does not construct weight-times-height factors, a spectrum or a building-code coefficient.

V = coefficient×ΣseismicWeight; force[i] = V×distributionWeight[i]/ΣdistributionWeight

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

Output fieldMeaningValue type
callerModeledBaseShearNCaller modeled base shear nnumber
lateralForcesByLevelNLateral forces by level narray of number
json
{
  "input": {
    "callerVerifiedEffectiveSeismicWeightsN": [
      100,
      200
    ],
    "callerMatchedBaseShearCoefficient": 0.1,
    "callerHeightDistributionWeights": [
      1,
      3
    ]
  },
  "output": {
    "callerModeledBaseShearN": 30,
    "lateralForcesByLevelN": [
      7.5,
      22.5
    ]
  }
}

Limitations and assumptions

A caller-defined distribution allocates that force without selecting a hazard spectrum or building-code model. 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 Deep Beam Shear Calculator for a related task: A diagonal strut idealization relates support shear to compression force and area.

Use Braced Excavation Strut Load Calculator for a related task: A tributary-area model converts supplied lateral pressure into a strut demand.

References

  1. Earthquake Base Shear Calculator — tool.io

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