Engineering · Statics & Structural Analysis

Force System and Rigid-Body Equilibrium Workbench Calculator

Resolve 2D and 3D force systems, equivalent force-couple systems and concurrent equilibrium from explicit vector rows.

Engineering · Statics & Structural Analysis

Enter the engineering model

Explicit properties, geometry, units and assumptions
2D rows: x, y, Fx, Fy.
Visual modelSchematic · not to scale
Statics & Structural Analysis: 2d visual explanationA simplified diagram showing the relationship represented by the selected calculator mode. It is explanatory and not a fabrication, safety or scale drawing.2D resultant and moment
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

R=ΣF and M_O=Σ(r×F)+ΣM. For a planar resultant, perpendicular line-of-action offset is M_O/|R|.

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

Worked example

Worked example

Forces (10,0) at (0,2) and (0,5) at (3,0) give resultant (10,5) and moment −5 about the origin.

R=ΣF and M_O=Σ(r×F)+ΣM. For a planar resultant, perpendicular line-of-action offset is M_O/|R|.

Supported inputs

Precision and limits

Analysis, not approval

A numerical equilibrium residual is not proof that the physical free-body diagram, supports or load paths are complete.

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.