Physics

Calculate shear modulus from stress and strain or from E and Poisson’s ratio, with unit conversions and isotropic assumption checks.

Calculate shear strain for simple shear or shaft torsion, with engineering and tensor strain shown side by side.

Calculate shear stress for force-area, bolt or pin shear, and round-shaft torsion with clear units and formula selection.

Calculate KL/r, effective length, and radius of gyration from r or from area and moment of inertia.

Calculate specific gravity or density from density, mass, and volume with unit conversion and custom reference density.

Compute 2D truss, beam, and frame element stiffness matrices with local/global forms, DOF maps, and coordinate-based geometry.

Calculate axial stress, strain, force, area, length change, or Young’s modulus with clear units and signed tension/compression results.

Find Kt from geometry or stress ratio, and estimate local maximum stress with ratio checks and validity guidance.

Calculate thermal stress, free strain, and free expansion for restrained members with optional partial restraint.

Calculate torsional constant J for round, hollow, rectangular, and thin-walled open sections with clear units and method notes.