Beam Shear Uniform Calculator

Simply supported full span uniform load maximum reaction/end shear|V|max=wL/2, no bending moment or continuous beam analysis. Actual independently established design/material/calibration and matched units; not a safe work instruction, code compliance or engineering approval.

Description

A simply supported beam under a uniform full-span load has equal end reactions.

A simply supported beam under a uniform full-span load has equal end reactions.1

This tool calculates the magnitude of an end shear from the load intensity and span.

When to use Beam Shear Uniform Calculator

Use this tool to calculate the magnitude of an end shear from the load intensity and span.

How to use Beam Shear Uniform Calculator and how it works

  1. Prepare actualUniformLoadPerLength, actualSimplySupportedSpan, with the units, conventions and assumptions below.
  2. Enter the required fields and run Beam Shear Uniform Calculator.
  3. Read result.value using the output definitions below.
  4. Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
Input fieldMeaningValue typeRequirement
actualUniformLoadPerLengthActual Uniform Load Per Length. Use the units and matching context stated in the calculation below.numberRequired; nonnegative; finite; other constraints below
actualSimplySupportedSpanActual Simply Supported Span. Use the units and matching context stated in the calculation below.numberRequired; strictly positive; finite; other constraints below

Supply nonnegative uniform load per length and positive simply supported span in matching units. Return load*span/2 as end shear magnitude for a full-span uniform load. Other loading patterns, continuity and shear capacity are not assessed.

endShear=uniformLoadPerLength*span/2

Apply the input ordering, units and branch conditions stated above.

Output fieldMeaningValue type
resultObject containing the calculated or selected fields below.object
result.valueEnd-shear magnitude in the load intensity's force unit.number
json
{
  "input": {
    "actualUniformLoadPerLength": 5,
    "actualSimplySupportedSpan": 4
  },
  "output": {
    "result": {
      "value": 10
    }
  }
}

Limitations and assumptions

The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.

All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.

Alternative or Complementary methods

Use Punching Shear Reinforcement Calculator for a complementary operation: Punching-shear reinforcement depends on a critical perimeter, concrete contribution and governing detailing requirements.

Use Corbel Design Calculator for a complementary operation: A corbel design requires qualified strut-and-tie geometry, load transfer and anchorage checks.

References

  1. Beam Shear Uniform Calculator — tool.io

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