A cube is subjected to a uniform volume compression. If the side of the cube decreases by 2% the bulk strain is
Bulk strain is the change in volume of a material when subjected to uniform pressure. It is the ratio of the change in volume to the original volume. Bulk strain is dimensionless and significant in studying material behavior under compressive forces. It relates to bulk modulus which measures material resistance to compression.
Class 11 Physics Chapter 8 explores mechanical properties of solids focusing on stress strain relationships Young’s modulus bulk modulus and shear modulus. It discusses concepts of elasticity Hooke’s law factors influencing material properties and practical applications in engineering. Understanding these principles is crucial for designing structures that can withstand various forces effectively.
The bulk strain can be described as the fractional alteration in the volume of a body. In this case of uniform compression for the cube, this is computed with:
Bulk Strain = 3 × Linear Strain
Since the length of the cube has been compressed by 2%, then this gives a value of:
Linear Strain = ΔL / L = 0.02
This therefore, implies that,
Bulk Strain = 3 × 0.02 = 0.06
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