# Shear modulus

• shear modulus
common symbols
g, s
si unitpascal
derivations from
other quantities
g = τ / γ g = e / 2(1+n)
shear strain

in materials science, shear modulus or modulus of rigidity, denoted by g, or sometimes s or μ, is defined as the ratio of shear stress to the shear strain:[1]

where

= shear stress
is the force which acts
is the area on which the force acts
= shear strain. in engineering , elsewhere
is the transverse displacement
is the initial length

the derived si unit of shear modulus is the pascal (pa), although it is usually expressed in gigapascals (gpa) or in thousands of pounds per square inch (ksi). its dimensional form is m1l−1t−2, replacing force by mass times acceleration.

• explanation
• shear waves
• shear modulus of metals
• shear relaxation modulus