Stress, Strain & Young's Modulus API

Axial stress, strain and Young's modulus as an API, computed locally and deterministically. The stress endpoint relates the three quantities of an axially loaded member — the stress σ = F/A, the strain ε = ΔL/L and Young's modulus E = σ/ε — and solves for whichever you leave out, taking the modulus directly, in gigapascals, or from a built-in material table (steel, aluminium, copper, titanium, concrete, glass and more), with stress reported in pascals, MPa and GPa. The elongation endpoint computes how much a bar stretches under an axial load, δ = F·L/(A·E), from the force, length and cross-section (area or diameter) and the material or modulus, along with the stress, strain and the axial stiffness k = A·E/L. The poisson endpoint works with Poisson's ratio ν: the lateral strain that accompanies an axial strain, and the shear modulus G = E/(2(1+ν)) and bulk modulus K = E/(3(1−2ν)) derived from the Young's modulus. Everything is computed locally and deterministically, so it is instant and private. Ideal for mechanical, civil and materials-engineering tools, structural and machine-design apps, materials testing and education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is axial material deformation; for the 2D state of stress (principal stresses, Mohr's circle) use a Mohr-circle API and for column buckling use a buckling API.