Modulus of Rigidity

Shear Modulus or Modulus of Rigidity is the coefficient of elasticity for a shearing or torsion force

Modulus of Rigidity (or 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.

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

Material Shear Modulus
(106 psi) (GPa)
Aluminum Alloys 3.9 27
Aluminum, 6061-T6 3.8 24
Aluminum, 2024-T4 4.0 28
Beryllium Copper 6.9 48
Brass 5.8 40
Bronze 6.5 44.8
Cadmium 19
Carbon Steel 11.2 77
Cast Iron 5.9 41
Chromium 115
Concrete 3.0 21
Copper 6.5 45
Glass 26.2
Glass, 96% silica 2.8 19
Inconel 11.5 79
Iron, Ductile 9.1 - 9.6 63 - 66
Iron, Malleable 9.3 64
Kevlar 2.8 19
Lead 1.9 13.1
Magnesium 2.4 16.5
Molybdenum 17.1 118
Monel metal 9.6 66
Nickel Silver 6.9 48
Nickel Steel 11.0 76
Nylon 0.59 4.1
Phosphor Bronze 5.9 41
Plywood 0.09 0.62
Polycarbonate 0.33 2.3
Polyethylene 0.12
Rubber 0.0003
Structural Steel 11.5 79.3
Stainless Steel 11.2 77.2
Steel, Cast 11.3 78
Steel, Cold-rolled 10.9 75
Tin 18
Titanium, Grade 2 5.9 41
Titanium, Grade 5 5.9 41
Titanium, 10% Vanadium 6.1 42
Tungsten 161
Wood, Douglas Fir 1.9 13
Zinc 43
Z-nickel 11 76
  • 1 GPa = 0.145x106 psi (lbf/in2)
  • 1 x 106 psi = 6.9 GPa

Related Topics

  • Mechanics - Kinematics, forces, vectors, motion, momentum, energy and the dynamics of objects
  • Statics - Loads - force and torque

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