Engineering · Statics & Structural Analysis

Continuous Beam Analysis Workbench Calculator

Analyze a two-span continuous beam under full-span uniform loads using the three-moment relation and report support moments and reconciled reactions.

Engineering · Statics & Structural Analysis

Enter the engineering model

Explicit properties, geometry, units and assumptions
  1. 1EnterProvide the known values
  2. 2CalculateResults update automatically
  3. 3VerifyReview the details and units
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Visual modelSchematic · not to scale
Statics & Structural Analysis: twoSpan visual explanationA simplified diagram showing the relationship represented by the selected calculator mode. It is explanatory and not a fabrication, safety or scale drawing.span compatibility creates an interior support momentreactions reconcile both loaded spans
The diagram explains the selected relationship only. Dimensions, symbols and proportions are illustrative; use the entered values and stated assumptions for the calculation.

Keep every unit basis, sign convention, property source and idealization consistent. Values stay in this browser.

Engineering calculation result

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Understand the structural model

Why continuity changes reactions

A continuous beam develops an interior support moment because adjacent spans must rotate compatibly. The result therefore differs from analyzing the spans as unrelated simple beams.

Relationship used

With simple end supports and constant EI, MB=−(w₁L₁³+w₂L₂³)/(8(L₁+L₂)); each span reaction follows end-moment equilibrium.

Worked scenario: Two 5 m spans carrying 10 kN/m each produce a −31.25 kN·m interior support moment and 18.75/62.5/18.75 kN reactions.

Keep the boundary visible: The current workflow is deliberately limited to two prismatic spans with full-span uniform loads.

Quick guide

How to use this calculator

  1. Choose the analysis mode that matches the physical model before entering values.
  2. Enter properties, geometry, loads, states and coefficients from one consistent unit and sign convention.
  3. Use the intermediate outputs to audit the relationship, then retain the stated idealization before applying it.

Calculation method

Transparent engineering model

With simple end supports and constant EI, MB=−(w₁L₁³+w₂L₂³)/(8(L₁+L₂)); each span reaction follows end-moment equilibrium.

The calculator evaluates only the declared relationship and preserves visitor-entered assumptions rather than selecting materials, factors, components or standards.

Worked example

Worked example

Two 5 m spans carrying 10 kN/m each produce a −31.25 kN·m interior support moment and 18.75/62.5/18.75 kN reactions.

With simple end supports and constant EI, MB=−(w₁L₁³+w₂L₂³)/(8(L₁+L₂)); each span reaction follows end-moment equilibrium.

Supported inputs

Precision and limits

Analysis, not approval

This release intentionally covers two prismatic spans with unyielding simple end supports and full-span UDLs. General multi-span stiffness analysis belongs in the frame solver.

Standards and properties

Material properties, allowable values, load combinations, safety factors, correlations, manufacturer data, codes and jurisdictional requirements are not supplied automatically.

Units and precision

Use one consistent unit basis. Results retain working precision but cannot be more accurate than the entered measurements and properties.

Privacy

Entered engineering values and results stay in this browser and are not sent to analytics or third parties.