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Engineering

Beam Deflection Calculator

Use this beam deflection calculator to calculate estimate center deflection of a simply supported beam with central load.

beam deflectionloadspanengineering

Calculator

Calculate instantly

Calculator Inputs

Choose what you want to calculate, enter realistic values, adjust units where shown, and use the scenario section for repeated-use planning.

Input and Formula Breakdown

This calculator applies the formula Deflection = PL^3 / (48EI). Enter each value with the matching unit, and AZCalculate updates the result instantly.

Central load
1,000 N
Span
3 ft(0.91 m)
Elastic modulus
200,000,000,000 Pa
Moment of inertia
0 m^4
Deflection
9.96e-6 m

Scenario and Comparison

Current

9.96e-6 m

Projected

0

Adjusted

0

Visual Comparison

Current result0
Projected usage0
Comparison scenario0

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Trust note

Planning estimate

Use this result as a practical estimate. Real-world conditions, local rules, measurement tolerance, and changing inputs can affect the final outcome.

Medium risk contextDifficulty: professionalConfidence estimate: 95/100Reviewed 2026-05-18Reviewed by: Engineering content reviewerCalculator vuces-2.1 / Formula vformula-1.03 sources listed

Formula and Explanation

Deflection = PL^3 / (48EI)

This calculator applies the formula Deflection = PL^3 / (48EI). Enter each value with the matching unit, and AZCalculate updates the result instantly.

Variable descriptions

load(N)
Central load: Central load measured in N, entered as a known value.
span(m)
Span: Span measured in m, entered as a known value.
modulus(Pa)
Elastic modulus: Elastic modulus measured in Pa, entered as a known value.
inertia(m^4)
Moment of inertia: Moment of inertia measured in m^4, entered as a known value.

Formula Notes

  • Use consistent units for values that are multiplied, divided, or compared.
  • Results may be rounded for readability, while the calculator keeps greater precision internally.
  • Real-world measurements and assumptions can introduce small differences from the calculated estimate.

Common uses

  • Estimate deflection
  • Compare material stiffness
  • Plan early designs

Assumptions

What this calculation assumes

  • Calculations assume compatible engineering units and idealized conditions.
  • Safety factors, tolerances, material variation, and standards should be reviewed separately.
  • Inputs are assumed to describe the same scenario and use compatible units.
  • Results may be rounded for readability.

Avoid mistakes

Quick checks before you rely on the result

  • Ignoring safety factors.
  • Using rated values instead of actual operating conditions.
  • Mixing units, periods, currencies, or measurement systems without converting first.
  • Rounding intermediate values too early.

Step-by-Step Explanation

Follow the reasoning, not only the final number.

  1. 1

    Set up the calculation

    Enter the known values in the calculator fields.

    Starting with clearly defined values and units prevents the most common calculation errors.

  2. 2

    Work through step 2

    Keep the units consistent with the labels shown beside each input.

    This step transforms the known values into the form required by the formula.

  3. 3

    Work through step 3

    Apply the formula: Deflection = PL^3 / (48EI).

    This step transforms the known values into the form required by the formula.

  4. 4

    Interpret the result

    Review the primary result and supporting values.

    Compare the result with your real-world goal, such as estimate deflection.

Worked example

Practical beam deflection calculator example

Known values

  • Central load: 1,000 N
  • Span: 3 m
  • Elastic modulus: 200,000,000,000 Pa
  • Moment of inertia: 0 m^4

Calculation

  1. 1. Start with the known values shown for this beam deflection calculator scenario.
  2. 2. Substitute those values into Deflection = PL^3 / (48EI).
  3. 3. Evaluate the expression and keep the requested unit and rounding.

Result and meaning

Deflection: 0 m

Calculator guide

About this Beam Deflection Calculator

Estimate center deflection of a simply supported beam with central load. This page includes an interactive calculator, concise formula notes, worked examples, FAQs, related calculators, and practical guidance you can revisit whenever needed.

beam deflectionloadspanengineering

References

Sources used for this calculator

Found something that does not look right?

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Calculator usage

Usage information loads after the calculator is ready.

FAQ

Beam Deflection Calculator FAQs

How does the beam deflection calculator work?+

It uses Deflection = PL^3 / (48EI) and calculates the result from the values you enter.

Can I copy or print the result?+

Yes. AZCalculate calculator pages include copy, share, and print actions.

Should I include a safety factor?+

Yes for real engineering decisions. Use applicable standards and professional review.

Which unit system should I use?+

Use a consistent unit system and convert all inputs before combining them.

How should I use this calculator result?+

Use it as an estimate and compare it with the formula, assumptions, and examples shown on the page.

Why can real-world results differ?+

Real-world inputs can include local rules, changing rates, measurement tolerances, and conditions outside the core formula.

What information do I need for the beam deflection calculator?+

Enter the known values requested by the calculator. Use the unit selectors where available and make sure the values describe the same scenario.

How accurate is the beam deflection calculator?+

The calculator follows the formula shown on this page. Accuracy depends on the values, units, assumptions, and rounding used in your scenario.

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Beam Deflection Calculator - AZCalculate | AZCalculate