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THE FEUTEX TOOLKIT

Fixed-End Beam Uniform Load

Estimate end moments, midspan sagging moment and central deflection.

Civil Engineering workspace● Runs in your browser
01 Your input
02 Your result
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FormulaMend=wL²/12; Mmid=wL²/24; δmid=wL⁴/(384EI).
Sources and model references

Worked example

Inputs

Span
4 m
Uniform load
1000 N/m
Young modulus
200000000000 Pa
Second moment
1e-05 m⁴

Expected results

Hogging end moment magnitude
1333.333333 N·m
Sagging central moment
666.6666667 N·m
Central deflection
0.0003333333333 m

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter every input in the labeled units; use measured or independently specified properties.
  2. Check the stated model assumptions before calculating.
  3. Interpret the output as a model estimate and verify it independently for the intended application.

Try this example

{
  "length": 4,
  "load": 1000,
  "e": 200000000000,
  "i": 0.00001
}

Accuracy and scope

Both ends perfectly fixed; uniform prismatic elastic beam without support settlement. Educational engineering estimate only; not structural or safety certification, equipment selection, or operating recommendations.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.