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Simply Supported Beam Center Load Deflection

Online simply supported beam center load deflection. Small-deflection Euler–Bernoulli beam; ideal supports and central point load.

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simply supported beam center load deflection calculator online

Use simply supported beam center load deflection online for load N, span mm, modulus GPa, inertia mm4. Small-deflection Euler–Bernoulli beam; ideal supports and central point load. Idealized linear material model where stated; no failure assessment, allowable stress, structural certification or compliance calculation is provided.

How to use it

Enter load N. Set span mm, modulus GPa, inertia mm4. Select Calculate and check the labeled output. Copy or download the JSON result.

Options and example settings

OptionChoices / valueExample default
load NMain input. Positive values. 1000
span mmOption. Positive values. 1000
modulus GPaOption. Positive values. 200
inertia mm4Option. Positive values. 100000

Calculation method

center_deflection_mm = load_N*span_mm^3/(48*modulus_GPa*1000*inertia_mm4) (^ means exponentiation; trig functions ending in d use degrees).

Worked examples

Apply simply supported beam center load deflection to the case below, keeping the displayed units and assumptions. Small-deflection Euler–Bernoulli beam; ideal supports and central point load.

Simply Supported Beam Center Load Deflection — worked case

Settings: span mm: 1000; modulus GPa: 200; inertia mm4: 100000

Input:

1000

Calculated result for these inputs:

Output:

{
  "center_deflection_mm": 1.0416666666666667
}

Choose the right tool

Choose the loading case and boundary conditions before entering values. Engineering stress differs from true stress; beam and thin-wall formulas require their stated idealizations. These calculators do not establish allowable loads or safe designs.

Limitations and common mistakes

  • Small-deflection Euler–Bernoulli beam; ideal supports and central point load. Idealized linear material model where stated; no failure assessment, allowable stress, structural certification or compliance calculation is provided.
  • Use the displayed unit in every field. Ratios and percentages are different inputs; percent fields use values such as 25 rather than 0.25.

Frequently asked questions

How can I use simply supported beam center load deflection calculator online?

Enter load N. Set span mm, modulus GPa, inertia mm4. Select Calculate and check the labeled output. Copy or download the JSON result.

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.

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