Round tube beam deflection Calculator

Form

in
in
in
lb

Results

Deflection (Inches)

0

Bending Stress (PSI)

0

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What is Round tube beam deflection?

Estimate elastic deflection of a round beam under the support and loading assumptions used by the page.

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How to Use This Calculator

  1. Enter or select Length (Inches), Diameter (Inches), Wall Thickness (Inches), Force (Pounds), Material.
  2. Check the unit beside each measurement. For a percentage or rate, use the scale and time period stated in the form.
  3. Choose Calculate, then compare the output with the formula and example below. If you change a value or option, calculate again to update the result.
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Formula Used

End-loaded cantilever: Di=Do−2t; I=π(Do⁴−Di⁴)/64; physical tip deflection=PL³/(3EI).
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Variables Explained

InputWhat it means
Length (Inches)The measured end-to-end distance of the section being calculated.
Diameter (Inches)Distance across a circle through its center; twice the radius.
Wall Thickness (Inches)Distance through the layer or material, rather than its face width.
Force (Pounds)Use the measured or stated value for this item, with the unit or category shown beside the field.
MaterialChoose the applicable option; it determines which relationship or conversion the page applies.
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Worked Example

Holding everything else fixed, doubling the beam length multiplies an elastic bending deflection by eight.

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Why Use This Calculator?

The result estimates deflection under a particular elastic model. It does not establish strength, stability or a safe structural design.

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Common Mistakes

    • The current page multiplies its calculated deflection by 100,000,000 before display. That displayed value is not the unscaled physical deflection; verify the calculation independently before using it.
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Frequently Asked Questions

Why does diameter have such a strong effect?

The second moment of area depends on diameter to the fourth power. A small change in section size can therefore change elastic bending stiffness substantially.

When should I round a measurement?

Carry the measured values and conversion factors through the calculation first. Round the final result to a precision justified by the original measurements.

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Sources & References