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ElectricalElectrical Materials
PrevNext

Strain has __________ unit

A

Pascal

B

Newton

C

Ncm2N c m^{2}Ncm2

D

no

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalElectrical Materials
Option D

no

Quick Summary:

Strain is defined as the ratio of the change in dimension to the original dimension of a body. Because it is a ratio of two similar physical quantities with the same SI units, the units cancel out, making strain a dimensionless quantity.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Strain is defined as the ratio of the change in dimension to the original dimension of a body. Because it is a ratio of two similar physical quantities with the same SI units, the units cancel out, making strain a dimensionless quantity.

ЁЯФв Key Formulas

╧╡=╬ФLL\epsilon = \frac{\Delta L}{L}╧╡=L╬ФLтАЛ тАФ Linear strain defined as change in length divided by original length

╬│=tanтБб(╬╕)\gamma = \tan(\theta)╬│=tan(╬╕) тАФ Shear strain defined as the tangent of the angular deformation

тЪЩя╕П Working Principle

When an external force (stress) is applied to an elastic material, it undergoes deformation. The change in length (╬ФL\Delta L╬ФL) compared to the original length (LLL) provides a measure of this deformation. Mathematically, ╧╡=╬ФLL\epsilon = \frac{\Delta L}{L}╧╡=L╬ФLтАЛ, where both numerator and denominator share the unit of length (meters), leading to a unitless result.

ЁЯУМ Key Points
  • тЦ╕

    Strain represents the degree of deformation or distortion in a material.

  • тЦ╕

    Being a dimensionless quantity, it remains consistent across all systems of units (SI, CGS, etc.).

  • тЦ╕

    It is closely related to Young's Modulus (E=╧Г╧╡E = \frac{\sigma}{\epsilon}E=╧╡╧ГтАЛ), where ╧Г\sigma╧Г is stress.

тЬЕ Advantages
  • тЦ╕

    Simplifies calculations in structural analysis by eliminating unit conversion complexities.

  • тЦ╕

    Provides a standardized metric to compare materials of different sizes under load.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Does not inherently indicate the magnitude of force causing the deformation without the material's elastic modulus.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Structural health monitoring using strain gauges.

  • тЦ╕

    Mechanical testing of materials (e.g., tensile testing).

ЁЯУД Additional Information
  • тЦ╕

    While strain is dimensionless, it is often expressed in microstrain (╬╝╧╡\mu\epsilon╬╝╧╡) or as a percentage to represent very small values.

  • тЦ╕

    Option A (Pascal) is the unit of stress or pressure (N/m┬▓).

  • тЦ╕

    Option B (Newton) is the unit of force.

  • тЦ╕

    Option C (N/cm2N/cm^2N/cm2) is another unit of pressure or stress.

ЁЯУК Diagram / Illustration
Definition of Strain (╬╡)╬╡ = (Change inDimension / Original Dimension)Unit: [L]/[L] = Dimensionless
тЬЕ

D is correct тАФ Strain is a dimensionless quantity because it is the ratio of two quantities having the same physical unit.

Core Concepts Used
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Elasticity Dimensional Analysis Stress-Strain Relationship
ЁЯТб EXAM TIP

Always verify if a physical quantity is a ratio of identical units; if it is, the quantity will always be dimensionless, like strain, relative permittivity, or refractive index.

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