Statics and strength calculators
Section properties, bending stress and beam deflection for static or slowly varying loads.
Define section and load case, check stress and deflection, then complete the component verification.
Calculators in this category
Section Properties
Calculate area, second moments, and section moduli.
Open calculator →Second Moment of Any Polygon Section
Define any polygonal section graphically or by coordinates and find its centroid, Ix, Iy and Ixy.
Open calculator →Centroid of an Arbitrary Cross-Section
Define any polygonal section graphically or by coordinates and find its centroid, area, and first moments Qx and Qy.
Open calculator →Section Modulus of an Arbitrary Cross-Section
Define any polygonal section graphically or by coordinates and find the elastic section modulus Wx and Wy for both sides of an unsymmetric section.
Open calculator →Principal Moments of Inertia of an Arbitrary Cross-Section
Define any polygonal section graphically or by coordinates and find the principal moments of inertia I1, I2 and the principal axis angle.
Open calculator →Bending Stress of an Arbitrary Cross-Section
Draw any polygonal cross-section and calculate the maximum tensile and compressive bending stress directly from its real geometry and a bending moment.
Open calculator →Unsymmetrical (Biaxial) Bending of an Arbitrary Cross-Section
Draw any polygonal cross-section and calculate the biaxial bending stress from Mx and My using the full unsymmetric-bending formula, including the Ixy coupling.
Open calculator →Axial Force + Bending: Tensile and Compressive Stress in Arbitrary Cross-Sections
Draw any polygonal cross-section and combine an axial force with Mx/My or an eccentricity to find the maximum tensile and compressive stress and the neutral axis.
Open calculator →Bending Stress
Determine nominal bending stress and utilization.
Open calculator →Beam Deflection
Calculate reactions, moments, stress, and deflection.
Open calculator →Plane Stress Transformation & Mohr's Circle
Transform a full plane stress state (σx, σy, τxy) to find principal stresses, maximum in-plane shear stress, principal-axis angle and the stress at any rotation angle.
Open calculator →Axial Rod Deformation & Stiffness
Calculate a tension/compression rod's elongation, strain, stress, axial stiffness k=EA/L and strain energy from force, length, area and elastic modulus.
Open calculator →Transformed Composite Section
Combine multiple parts of different elastic moduli into a modulus-weighted neutral axis, transformed second moment of area and flexural rigidity EI using the transformed-section method.
Open calculator →Support Reaction Calculator for an Off-Centre Load
Calculate the near-support reaction of a simply supported beam carrying a single off-centre point load.
Open calculator →Shear Stress Calculator for Rectangular Sections
Calculate the maximum transverse shear stress in a rectangular cross-section from shear force and section dimensions.
Open calculator →S-N Curve Calculator (Basquin Equation)
Calculate the allowable stress amplitude in the finite-life region of the S-N curve from endurance limit, knee point, slope and target cycles.
Open calculator →Reduced Elastic Modulus Calculator
Calculate the reduced elastic modulus of two contacting bodies from their elastic moduli and Poisson's ratios for Hertz contact calculations.
Open calculator →Hertz Line Contact Calculator (Cylinder on Cylinder)
Calculate the maximum Hertz contact pressure between two parallel cylinders from normal force, contact length, diameters and reduced elastic modulus.
Open calculator →Hertz Contact Calculator: Cylinder on Flat
Calculate the maximum Hertz contact pressure between a cylinder and a flat surface from normal force, contact length, diameter and reduced elastic modulus.
Open calculator →Hertz Contact Calculator: Sphere on Flat
Calculate contact radius and maximum Hertz contact pressure between a sphere and a flat surface from normal force, diameter and reduced elastic modulus.
Open calculator →Hertz Contact Width Calculator
Calculate the half and full width of the contact band for Hertz line contact from Hertz pressure, reduced diameter and reduced elastic modulus.
Open calculator →Von Mises Equivalent Stress Calculator
Calculate the von Mises equivalent stress from superimposed normal and shear stresses due to tension, bending, shear and torsion.
Open calculator →Notch Factor Calculator (βk from αk)
Calculate the notch effect factor βk from the stress concentration factor αk and the support factor n to estimate the strength reduction at a notch.
Open calculator →Yield Safety Factor Calculator
Calculate the static safety factor of any part against yielding from yield strength and equivalent stress.
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