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Engineering calculators
Explore practical mechanical engineering calculators for section geometry, stress, beam bending, shaft torsion and thermal expansion. Choose a tool to work through inputs, schematics and results, with equations and assumptions close at hand.
8 calculators across 6 categories
Geometry calculators
Section geometry, area properties and stock weight.
Stress calculators
Direct stress, strain and extension under load.
Beams calculators
Bending, deflection, positioned loads and elastic stability.
Shafts calculators
Torsional stress and twist in circular shafts.
Fasteners calculators
Fastener tools will appear here as they become available.
No fastener calculator is currently available in this module.
Thermal calculators
Free expansion and contraction under temperature changes.
Section properties
Centroid and second moments for common engineering cross-sections.
Geometry and loading
Input parameters
Results update as you edit.
Section output
Cz is measured from the left edge; Cy from the bottom edge. Iz is about the horizontal z-axis; Iy about the vertical y-axis. Izy uses the displayed positive z and y directions.
| Property | Value | Unit |
|---|
Results
Key values (for reference)
ⓘ Assumptions
Uniform section with sharp corners. Dimensions define idealised geometry with no fillets or holes beyond those shown. z is horizontal from the left edge, y is vertical from the bottom edge. Iz and Iy are centroidal second moments; Izy is the centroidal product of inertia.
Equations & calculation model
Cz = Σ(Ai zi)/A; Cy = Σ(Ai yi)/A
Iz = Σ(Iz,i + Ai(yi − Cy)²); Iy = Σ(Iy,i + Ai(zi − Cz)²)
Izy = Σ(Ai(zi − Cz)(yi − Cy))
rz = √(Iz/A); ry = √(Iy/A)
Idealised calculations for preliminary design. Check geometry, loading and boundary conditions against your application.
What it is used for
Finding centroidal area properties for preliminary bending and buckling calculations.
Standards & references
MIT Mechanics & Materials I: bending mechanics; SCI P363: published steel section properties. Calculated shapes are idealised geometric sections. Compare with certified section data when radii, tolerances or catalogue geometry matter; catalogue values are not interchangeable with sharp-corner models.