Shear Modulus Calculator
Shear modulus G and bulk modulus K from E and Poisson's ratio.
INPUTS
GPa
RESULTS
Shear modulus G = E/2(1+ν)
76.92 GPa
Bulk modulus K = E/3(1−2ν)
166.67 GPa
G/E ratio
0.385
Reference
Steel: G ≈ 77–80 GPa · Aluminium: G ≈ 26 GPa · Concrete: G ≈ 12–15 GPa
How it works
Isotropic elasticity has only two independent constants — E, G, K and ν are all interlinked. G governs shear distortion (torsion of shafts, shear deflection of deep beams); K governs volume change under pressure. As ν → 0.5, K blows up to infinity (incompressible) while G stays finite — exactly rubber's behaviour.
Worked example
Steel with E = 200 GPa and ν = 0.30: G = 200/(2·1.3) = 76.9 GPa and K = 200/(3·0.4) = 166.7 GPa. Torsion and shear-deflection problems use G, not E.
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