Strain in x direction in biaxial system Calculator

✖Normal Stress in x Direction is the stress experienced by a body under the influence of a force.ⓘ Normal Stress in x Direction [σ_x]			+10% -10%
✖Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus Bar [E]			+10% -10%
✖Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.ⓘ Poisson's Ratio [𝛎]			+10% -10%
✖Normal Stress in y Direction is the stress experienced by the body under the influence of an external force.ⓘ Normal Stress in y Direction [σ_y]			+10% -10%

✖Strain in X direction is the change in dimensions experienced by the member in x direction.ⓘ Strain in x direction in biaxial system [ε_x]

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Strain in x direction in biaxial system Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain in X direction = (Normal Stress in x Direction/Young's Modulus Bar)-((Poisson's Ratio)*(Normal Stress in y Direction/Young's Modulus Bar))
ε_x = (σ_x/E)-((𝛎)*(σ_y/E))
This formula uses 5 Variables

Variables Used

Strain in X direction - Strain in X direction is the change in dimensions experienced by the member in x direction.
Normal Stress in x Direction - (Measured in Pascal) - Normal Stress in x Direction is the stress experienced by a body under the influence of a force.
Young's Modulus Bar - (Measured in Pascal) - Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Poisson's Ratio - Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.
Normal Stress in y Direction - (Measured in Pascal) - Normal Stress in y Direction is the stress experienced by the body under the influence of an external force.

STEP 1: Convert Input(s) to Base Unit

Normal Stress in x Direction: 0.011 Megapascal --> 11000 Pascal (Check conversion here)
Young's Modulus Bar: 0.023 Megapascal --> 23000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
Normal Stress in y Direction: 0.012 Megapascal --> 12000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_x = (σ_x/E)-((𝛎)*(σ_y/E)) --> (11000/23000)-((0.3)*(12000/23000))

Evaluating ... ...

ε_x = 0.321739130434783

STEP 3: Convert Result to Output's Unit

0.321739130434783 --> No Conversion Required

FINAL ANSWER

0.321739130434783 ≈ 0.321739 <-- Strain in X direction

(Calculation completed in 00.015 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Biaxial Stress Deformation System Calculators

Strain in x direction in biaxial system

LaTeX Go Strain in X direction = (Normal Stress in x Direction/Young's Modulus Bar)-((Poisson's Ratio)*(Normal Stress in y Direction/Young's Modulus Bar))

Strain in Y direction in biaxial system

LaTeX Go Strain in Y direction = (Normal Stress in y Direction/Young's Modulus Bar)-((Poisson's Ratio)*(Normal Stress in x Direction/Young's Modulus Bar))

Strain in x direction in biaxial system Formula

LaTeX Go

Strain in X direction = (Normal Stress in x Direction/Young's Modulus Bar)-((Poisson's Ratio)*(Normal Stress in y Direction/Young's Modulus Bar))
ε_x = (σ_x/E)-((𝛎)*(σ_y/E))

What is the direction of strain?

When a material receives a tensile force P, it elongates in the axial direction while contracting in the transverse direction. Elongation in the axial direction is called longitudinal strain and contraction in the transverse direction, is called transverse strain.

How to Calculate Strain in x direction in biaxial system?

Strain in x direction in biaxial system calculator uses Strain in X direction = (Normal Stress in x Direction/Young's Modulus Bar)-((Poisson's Ratio)*(Normal Stress in y Direction/Young's Modulus Bar)) to calculate the Strain in X direction, The Strain in x direction in biaxial system is defined as the change in dimensions of the member along the X axis in a biaxial system. Strain in X direction is denoted by ε_x symbol.

How to calculate Strain in x direction in biaxial system using this online calculator? To use this online calculator for Strain in x direction in biaxial system, enter Normal Stress in x Direction (σ_x), Young's Modulus Bar (E), Poisson's Ratio (𝛎) & Normal Stress in y Direction (σ_y) and hit the calculate button. Here is how the Strain in x direction in biaxial system calculation can be explained with given input values -> 0.321739 = (11000/23000)-((0.3)*(12000/23000)).

FAQ

What is Strain in x direction in biaxial system?

The Strain in x direction in biaxial system is defined as the change in dimensions of the member along the X axis in a biaxial system and is represented as ε_x = (σ_x/E)-((𝛎)*(σ_y/E)) or Strain in X direction = (Normal Stress in x Direction/Young's Modulus Bar)-((Poisson's Ratio)*(Normal Stress in y Direction/Young's Modulus Bar)). Normal Stress in x Direction is the stress experienced by a body under the influence of a force, Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5 & Normal Stress in y Direction is the stress experienced by the body under the influence of an external force.

How to calculate Strain in x direction in biaxial system?

The Strain in x direction in biaxial system is defined as the change in dimensions of the member along the X axis in a biaxial system is calculated using Strain in X direction = (Normal Stress in x Direction/Young's Modulus Bar)-((Poisson's Ratio)*(Normal Stress in y Direction/Young's Modulus Bar)). To calculate Strain in x direction in biaxial system, you need Normal Stress in x Direction (σ_x), Young's Modulus Bar (E), Poisson's Ratio (𝛎) & Normal Stress in y Direction (σ_y). With our tool, you need to enter the respective value for Normal Stress in x Direction, Young's Modulus Bar, Poisson's Ratio & Normal Stress in y Direction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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