What is shear modulus mean?
The shear modulus is the elastic modulus we use for the deformation which takes place when a force is applied parallel to one face of the object while the opposite face is held fixed by another equal force.
Shear Modulus (Modulus of Rigidity) is the elasticity coefficient for shearing or torsion force. Sponsored Links. 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)"
- For steel it is around 200 gigapascals. For some other materials see Modulus of Elasticity or Young's Modulus - and Tensile Modulus for common Materials.
- The modulus of elasticity is material dependent. For example, the modulus of elasticity of steel is about 200 GPa (29,000,000 psi), and the modulus of elasticity of concrete is around 30 GPa (4,350,000 psi).
- 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.
Modulus of Rigidity of some Common Materials
|Material||Shear Modulus - G -|
- Young's modulus ( E ) describes tensile elasticity, or the tendency of an object to deform along an axis when opposing forces are applied along that axis; it is defined as the ratio of tensile stress to tensile strain. It is often referred to simply as the elastic modulus.
- Modulus of Rupture, frequently abbreviated as MOR, (sometimes referred to as bending strength), is a measure of a specimen's strength before rupture. It can be used to determine a wood species' overall strength; unlike the modulus of elasticity, which measures the wood's deflection, but not its ultimate strength.
- Units and Equations of Shear Stress. The units of shear stress are like the units of any other type of stress. The unit for shear stress is the unit of load (or weight) divide by the unit of area; i.e. N/m^2 or Pa (Pascal) for the SI system and lbf/ft^2 for English system.
The ratio of the change in pressure to the fractional volume compression is called the bulk modulus of the material. A representative value for the bulk modulus for steel is. and that for water is. The reciprocal of the bulk modulus is called the compressibility of the substance.
- Because specific volume is dimensionless, units of bulk modulus are the same as pressure — psig (bar, Pa, N/m2). Thus, the bulk modulus is a measure of resistance to compress- ibility of a fluid. A flat slope signifies a fairly compressible fluid having a low bulk modu- lus.
- Young's modulus is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression. Sometimes referred to as the modulus of elasticity, Young's modulus is equal to the longitudinal stress divided by the strain.
- Poisson's ratio is related to elastic moduli K (also called B), the bulk modulus; G as the shear modulus; and E, Young's modulus, by the following (for isotropic solids, those for which properties are independent of direction). The elastic moduli are measures of stiffness. They are ratios of stress to strain.
Updated: 2nd October 2019