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Modulus of Rigidity

Shear Modulus (Modulus of Rigidity) is the elasticity coefficient for shearing or torsion force.

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Modulus of Rigidity - G  - (Shear Modulus) is the coefficient of elasticity for a shearing force. It is defined as

  • "the ratio of shear stress to the displacement per unit sample length (shear strain)"

Modulus of Rigidity can be experimentally determined from the slope of a stress-strain curve created during tensile tests conducted on a sample of the material.

The definition of Modulus of Rigidity:

  • the ratio of shear stress to the displacement per unit sample length (shear strain)

Modulus of Rigidity of some Common Materials

MaterialShear Modulus
- G -
(106 psi)
Aluminum Alloys 27
Aluminum, 6061-T6 24
Aluminum, 2024-T4 28
Beryllium Copper 48
Brass 40
Bronze 44.8
Cadmium 19
Carbon Steel 77
Cast Iron 41
Chromium 115
Concrete 21
Copper 45
Glass 26.2
Glass, 96% silica 19
Inconel 79
Iron, Ductile 63 - 66
Iron, Malleable 64
Kevlar 19
Lead 13.1
Magnesium 16.5
Molybdenum 118
Monel metal 66
Nickel Silver 48
Nickel Steel 76
Nylon 4.1
Phosphor Bronze 41
Plywood 0.62
Polycarbonate 2.3
Polyethylene 0.12
Rubber 0.0003
Structural Steel 79.3
Stainless Steel 77.2
Steel, Cast 78
Steel, Cold-rolled 75
Tin 18
Titanium, Grade 2 41
Titanium, Grade 5 41
Titanium, 10% Vanadium 42
Tungsten 161
Wood, Douglas Fir 13
Zinc 43
Z-nickel 76
  • 1 GPa = 109 Pa = 0.145 x 106 psi (lbf/in2)
  • 1 x 106 psi = 6.9 GPa
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  • Engineering ToolBox, (2005). Modulus of Rigidity. [online] Available at: [Accessed Day Mo. Year].

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