Introduction - Elastic ConstantsIn the science of materials, numbers that quantify the response of a particular material to elastic or non-elastic deformation when a stress load is applied to that material, are known as Elastic Constants. They are the relationships that determine the deformations produced by a given Stress system acting on a particular Material, and within the limits for which Hooke's Law is obeyed, these factors are constant:
- The Modulus of Elasticity,
- The Modulus of rigidity,
- The Bulk Modulus,
- Poisson's Ratio or
Shear modulus or modulus of rigidity is defined as the ratio of shear stress to the shear strain.
Poisson's ratio is the ratio, when a sample object is stretched, of the contraction or transverse strain (perpendicular to the applied load), to the extension or axial strain (in the direction of the applied load).
Hooke's Law of elasticity is an approximation that states that the extension of a spring is in direct proportion with the load applied to it.
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Example - Example 1
- The maximum pressure is
The Relationship Between E And CIt is necessary to establish , first of all, the relationship between Pure Shear Stress and a pure normal Stress system at a point in an elastic material.
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