Engineering · Statics & Structural Analysis

Beam Load, Shear and Moment Workbench Calculator

Analyze multi-load simply supported or cantilever beams, load resultants, section forces, influence ordinates and moving point-load envelopes.

Engineering · Statics & Structural Analysis

Enter the engineering model

Explicit properties, geometry, units and assumptions
One row per load: point,magnitude,x; moment,magnitude,x; udl,intensity,start,end; or linear,wStart,wEnd,start,end. Downward forces are positive; positive couples are counter-clockwise.
Visual modelSchematic · not to scale
Statics & Structural Analysis: general visual explanationA simplified diagram showing the relationship represented by the selected calculator mode. It is explanatory and not a fabrication, safety or scale drawing.multi-load beam equilibriumspan = L
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

Enter valid values to see the result.

Your entries are calculated in this browser and are not submitted to 365CALCS.COM.

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

Equilibrium determines reactions; at a cut, V and M follow the signed forces and moments to one side. Piecewise samples expose shear and bending-moment diagrams.

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

Worked example

Worked example

A 6 m simple beam with a 12 kN load at 2 m and a 3 kN/m full-span load gives 30 kN total load, 17 kN left reaction and 13 kN right reaction.

Equilibrium determines reactions; at a cut, V and M follow the signed forces and moments to one side. Piecewise samples expose shear and bending-moment diagrams.

Supported inputs

Precision and limits

Analysis, not approval

Ideal Euler beam statics only. Supports, load paths, signs and units must be verified; results do not establish capacity or code compliance.

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.