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Shear Modulus
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Definition: The ratio of shearing stress τ to shearing strain γ within the proportional limit of a material.

When measured dynamically with a torsion pendulum, the shear modulus of a solid rectangular beam is given by:

where:

L = length of specimen between the clamps, in inches
C = width of specimen, in inches
D = thickness of specimen, in inches
I = polar moment of inertia of the oscillating system, in g·cm2
P = period of oscillations, in seconds
μ = a shape factor depending upon the ratio of the width to thickness of the specimen

The shear modulus for specimens with a circular cross section is given by:

where:

r = the radius of the specimen, in inches
Definition Copyright ©1989 CRC Press LLC. All rights reserved.

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