INTERFAIC / CALCULATE / ENGINEERING TOOLS
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.
Beam bending
Stress and deflection for a prismatic beam under a point load.
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
Rectangular, constant section; force acts along the section height. Linear elastic, small-deflection Euler–Bernoulli beam. Ideal supports; shear deflection, self-weight and stress concentrations excluded.
Equations & calculation model
σmax = Mmax h / (2I)
Simply supported: Mmax = FL / 4; δmax = FL³ / (48EI)
Cantilever: Mmax = FL; δmax = FL³ / (3EI)
Idealised calculations for preliminary design. Check geometry, loading and boundary conditions against your application.
What it is used for
Preliminary beam sizing, comparing stiffness, and checking a defined point-load case.
Standards & references
MIT Mechanics & Materials I: bending and beam deflection readings. Reference for the ideal elastic model, not a design-code acceptance check. Confirm loads, restraints, material properties and the governing design code for your application.
Related tools and drawing guides
Section properties · Euler buckling · Custom beam calculator