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THE FEUTEX TOOLKIT

Cantilever Tip and Distributed Load

Calculate root reactions and tip motion under two simultaneous load types.

Civil Engineering workspace● Runs in your browser
01 Your input
02 Your result
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Formulaδ=PL³/(3EI)+wL⁴/(8EI); θ=PL²/(2EI)+wL³/(6EI).
Sources and model references

Worked example

Inputs

Length
2 m
Tip load
1000 N
Uniform load
500 N/m
Young modulus
200000000000 Pa
Second moment
1e-05 m⁴

Expected results

Root moment magnitude
3000 N·m
Tip deflection magnitude
0.001833333333 m
Tip slope magnitude
0.001333333333 rad

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": 2,
  "point": 1000,
  "uniform": 500,
  "e": 200000000000,
  "i": 0.00001
}

Accuracy and scope

Ideal fixed root, downward loads, constant EI and small deflections. 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.