// multi-utility computation suite · offline · instant · precise
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sci.torsion-test-shear-modulus Calculator
Calculates shear modulus G = TL/(Jφ) from torsion test measurements of torque T, gauge length L, angle of twist φ, and polar moment of area J. G for steel ≈ 80 GPa = E/2(1+ν) — Poisson's ratio for steel ν ≈ 0.28 — torsion tests measure G directly while tensile tests give E.
Inputs
T Nm
Rotational force (N·m) = force × perpendicular lever arm. Engine torque peaks at lower RPM; horsepower peaks higher.
L M
Linear measurement. Ensure consistent units: 1 m = 1,000 mm = 3.281 ft.
Phi Rad
Reference formula or conversion factor shown for context.
R Mm
Distance from centre to edge of a circle. Radius = diameter / 2.
Results
shear modulus G (GPa)
Reference formula or conversion factor shown for context.
max shear stress τ_max (MPa)
Internal force per unit area (Pa or MPa). Must stay below yield strength in service. Beyond yield: permanent deformation. Beyond tensile strength: fracture.
polar moment J (mm⁴)
Sample size or count used in the calculation.
G = TL / (Jφ)
Reference formula or conversion factor shown for context.
τ_max = Tr/J
Reference formula or conversion factor shown for context.
G check
A pass/fail verification against the applicable code, standard, or threshold.