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When a body is subjected to three mutually perpendicular stresses, of equal intensity, the ratio of direct stress to the corresponding volumetric strain is known as
- a)Young's modulus
- b)modulus of rigidity
- c)bulk modulus
- d)Poisson's ratio
Correct answer is option 'C'. Can you explain this answer?
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When a body is subjected to three mutually perpendicular stresses, of ...
The bulk modulus of a substance is a measure of how resistant to compressibility that substance is. It is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume. Other moduli describe the material's response (strain) to other kinds of stress: the shear modulus describes the response to shear, and Young's modulus describes the response to linear stress. For a fluid, only the bulk modulus is meaningful. For a complex anisotropic solid such as wood or paper, these three moduli do not contain enough information to describe its behaviour, and one must use the full generalized Hooke's law.
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When a body is subjected to three mutually perpendicular stresses, of ...
Bulk Modulus:
Bulk modulus is the measure of a material's resistance to uniform compression. It is defined as the ratio of direct stress to the corresponding volumetric strain. When a body is subjected to three mutually perpendicular stresses of equal intensity, we can determine the bulk modulus of the material.
Formula:
The formula for bulk modulus is given by:
K = -V(dP/dV)
Where,
K = Bulk modulus
V = Volume of the material
dP = Change in pressure applied to the material
dV = Change in volume of the material
Explanation:
When a body is subjected to three mutually perpendicular stresses of equal intensity, it experiences a volumetric strain. The ratio of direct stress to the corresponding volumetric strain is known as bulk modulus.
The bulk modulus of a material is a measure of its compressibility. The more compressible a material is, the lower its bulk modulus will be. For example, gases have very low bulk modulus, while solids have high bulk modulus.
Applications:
Bulk modulus is an important parameter in materials science and engineering. It is used to design and analyze structures that are subjected to pressure or compression. Some common applications of bulk modulus include:
1. Hydraulic systems: The bulk modulus of a fluid is an important parameter in designing hydraulic systems. It determines how much the fluid will compress when subjected to pressure.
2. Earthquake engineering: The bulk modulus of soil and rock is an important parameter in earthquake engineering. It determines how much the ground will compress during an earthquake.
3. Seismic imaging: The bulk modulus of rocks is used in seismic imaging to determine the structure and composition of the earth's crust.
4. Materials science: The bulk modulus of a material is an important parameter in materials science. It is used to determine the stiffness and elasticity of materials, as well as their resistance to compression and deformation.
Conclusion:
In conclusion, the ratio of direct stress to the corresponding volumetric strain is known as bulk modulus. It is an important parameter in materials science and engineering, and is used to design and analyze structures that are subjected to pressure or compression.
Bulk modulus is the measure of a material's resistance to uniform compression. It is defined as the ratio of direct stress to the corresponding volumetric strain. When a body is subjected to three mutually perpendicular stresses of equal intensity, we can determine the bulk modulus of the material.
Formula:
The formula for bulk modulus is given by:
K = -V(dP/dV)
Where,
K = Bulk modulus
V = Volume of the material
dP = Change in pressure applied to the material
dV = Change in volume of the material
Explanation:
When a body is subjected to three mutually perpendicular stresses of equal intensity, it experiences a volumetric strain. The ratio of direct stress to the corresponding volumetric strain is known as bulk modulus.
The bulk modulus of a material is a measure of its compressibility. The more compressible a material is, the lower its bulk modulus will be. For example, gases have very low bulk modulus, while solids have high bulk modulus.
Applications:
Bulk modulus is an important parameter in materials science and engineering. It is used to design and analyze structures that are subjected to pressure or compression. Some common applications of bulk modulus include:
1. Hydraulic systems: The bulk modulus of a fluid is an important parameter in designing hydraulic systems. It determines how much the fluid will compress when subjected to pressure.
2. Earthquake engineering: The bulk modulus of soil and rock is an important parameter in earthquake engineering. It determines how much the ground will compress during an earthquake.
3. Seismic imaging: The bulk modulus of rocks is used in seismic imaging to determine the structure and composition of the earth's crust.
4. Materials science: The bulk modulus of a material is an important parameter in materials science. It is used to determine the stiffness and elasticity of materials, as well as their resistance to compression and deformation.
Conclusion:
In conclusion, the ratio of direct stress to the corresponding volumetric strain is known as bulk modulus. It is an important parameter in materials science and engineering, and is used to design and analyze structures that are subjected to pressure or compression.
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When a body is subjected to three mutually perpendicular stresses, of equal intensity, the ratio of direct stress to the corresponding volumetric strain is known asa)Young's modulusb)modulus of rigidityc)bulk modulusd)Poisson's ratioCorrect answer is option 'C'. Can you explain this answer?
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