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Clapeyron Three-Moment Continuous Beam Calculator

Clapeyron theorem of three moments is the classical tool for solving indeterminate multi-span beams.

Calculated Result
-65.49 kN·m

Intermediate Support Moment (Mb)

Span 1 Length

5 m

Span 2 Length

6 m

Calculation Breakdown

  1. Clapeyron 3-Moment Equation2·M_B·(L1 + L2) = - (w1·L1³ + w2·L2³) / 4 => M_B = -65.49 kN·m

Support Moments

Interactive visualization based on your current inputs

Moment
-65.4-48.8-32.2-15.61.0Support ASupport BSupport CSupportMoment (kNm)

What Is the Clapeyron Three-Moment Continuous Beam Calculator?

Clapeyron theorem of three moments is the classical tool for solving indeterminate multi-span beams.

How Does the Clapeyron Three-Moment Continuous Beam Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Clapeyron Three-Moment Continuous Beam Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

2 M_B (L_1 + L_2) = -\frac{w_1 L_1^3 + w_2 L_2^3}{4}

Clapeyron three-moment equation.

How to Use the Clapeyron Three-Moment Continuous Beam Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

Two-Span Floor Girder

Input Values:

span1LengthM:5.0
span2LengthM:6.0
span1UniformLoadKnPerM:15.0
span2UniformLoadKnPerM:18.0

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Calculates negative hogging moment over middle support.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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