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Elastic Modulus of Fiber using Composite's Longitudinal Direction Calculator

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Elastic Modulus Polymer Matrix Composites

✖Elastic Modulus Composite (Longitudinal Direction) refers to a material property when subjected to tensile or compressive forces along the longitudinal direction.ⓘ Elastic Modulus Composite (Longitudinal Direction) [E_cl]			+10% -10%
✖Elastic Modulus of Matrix typically refers to the elastic modulus or young's modulus of the material composing the matrix phase in a composite material.ⓘ Elastic Modulus of Matrix [E_m]			+10% -10%
✖Volume Fraction of Matrix is the Volume fraction of the matrix used in composite.ⓘ Volume Fraction of Matrix [V_m]			+10% -10%
✖Volume Fraction of Fiber also known as fiber volume fraction or simply fiber fraction, is a measure of the volume occupied by fibers within a composite material.ⓘ Volume Fraction of Fiber [V_f]			+10% -10%

✖Elastic Modulus of Fiber, also known as young's modulus, refers to the stiffness of the material, it represents the ratio of stress to strain within the elastic limit of the material.ⓘ Elastic Modulus of Fiber using Composite's Longitudinal Direction [E_f]

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Elastic Modulus of Fiber using Composite's Longitudinal Direction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elastic Modulus of Fiber = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Matrix*Volume Fraction of Matrix)/Volume Fraction of Fiber
E_f = (E_cl-E_m*V_m)/V_f
This formula uses 5 Variables

Variables Used

Elastic Modulus of Fiber - (Measured in Pascal) - Elastic Modulus of Fiber, also known as young's modulus, refers to the stiffness of the material, it represents the ratio of stress to strain within the elastic limit of the material.
Elastic Modulus Composite (Longitudinal Direction) - (Measured in Pascal) - Elastic Modulus Composite (Longitudinal Direction) refers to a material property when subjected to tensile or compressive forces along the longitudinal direction.
Elastic Modulus of Matrix - (Measured in Pascal) - Elastic Modulus of Matrix typically refers to the elastic modulus or young's modulus of the material composing the matrix phase in a composite material.
Volume Fraction of Matrix - Volume Fraction of Matrix is the Volume fraction of the matrix used in composite.
Volume Fraction of Fiber - Volume Fraction of Fiber also known as fiber volume fraction or simply fiber fraction, is a measure of the volume occupied by fibers within a composite material.

STEP 1: Convert Input(s) to Base Unit

Elastic Modulus Composite (Longitudinal Direction): 200 Megapascal --> 200000000 Pascal (Check conversion here)
Elastic Modulus of Matrix: 200.025 Megapascal --> 200025000 Pascal (Check conversion here)
Volume Fraction of Matrix: 0.4 --> No Conversion Required
Volume Fraction of Fiber: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_f = (E_cl-E_m*V_m)/V_f --> (200000000-200025000*0.4)/0.6

Evaluating ... ...

E_f = 199983333.333333

STEP 3: Convert Result to Output's Unit

199983333.333333 Pascal -->199.983333333333 Megapascal (Check conversion here)

FINAL ANSWER

199.983333333333 ≈ 199.9833 Megapascal <-- Elastic Modulus of Fiber

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< Elastic Modulus Calculators

Elastic Modulus of Fiber using Composite (Transverse Direction)

LaTeX Go Elastic Modulus of Fiber = (Elastic Modulus Composite (Transverse Direction)*Elastic Modulus of Matrix*Volume Fraction of Fiber)/(Elastic Modulus of Matrix-Elastic Modulus Composite (Transverse Direction)*Volume Fraction of Matrix)

Elastic Modulus of Composite in Transverse Direction

LaTeX Go Elastic Modulus Composite (Transverse Direction) = (Elastic Modulus of Matrix*Elastic Modulus of Fiber)/(Volume Fraction of Matrix*Elastic Modulus of Fiber+Volume Fraction of Fiber*Elastic Modulus of Matrix)

Elastic Modulus of Matrix using Composite's Longitudinal Direction

LaTeX Go Elastic Modulus of Matrix = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Fiber*Volume Fraction of Fiber)/Volume Fraction of Matrix

Elastic Modulus of Fiber using Composite's Longitudinal Direction

LaTeX Go Elastic Modulus of Fiber = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Matrix*Volume Fraction of Matrix)/Volume Fraction of Fiber

Elastic Modulus of Fiber using Composite's Longitudinal Direction Formula

LaTeX Go

Elastic Modulus of Fiber = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Matrix*Volume Fraction of Matrix)/Volume Fraction of Fiber
E_f = (E_cl-E_m*V_m)/V_f

What are polymer matrix composites (PMC)?

Polymer matrix composites have organic polymer matrix with strengthening fibers in the matrix. Matrix holds and protects the fibers in place while transmitting the load to them. Advanced composites are a class of Polymer matrix composites that have high mechanical properties (strength and stiffness) compared to the normal reinforced plastics and are used in aerospace applications. Reinforced plastics are relatively inexpensive and are widely used.

How to Calculate Elastic Modulus of Fiber using Composite's Longitudinal Direction?

Elastic Modulus of Fiber using Composite's Longitudinal Direction calculator uses Elastic Modulus of Fiber = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Matrix*Volume Fraction of Matrix)/Volume Fraction of Fiber to calculate the Elastic Modulus of Fiber, Elastic Modulus of Fiber using Composite's Longitudinal Direction can be defined by Hooke's Law, In the context of composite materials, where fibers are embedded within a matrix, the elastic modulus of the fiber in the longitudinal direction represents its stiffness, it quantifies the material's resistance to deformation under an applied longitudinal stress. Elastic Modulus of Fiber is denoted by E_f symbol.

How to calculate Elastic Modulus of Fiber using Composite's Longitudinal Direction using this online calculator? To use this online calculator for Elastic Modulus of Fiber using Composite's Longitudinal Direction, enter Elastic Modulus Composite (Longitudinal Direction) (E_cl), Elastic Modulus of Matrix (E_m), Volume Fraction of Matrix (V_m) & Volume Fraction of Fiber (V_f) and hit the calculate button. Here is how the Elastic Modulus of Fiber using Composite's Longitudinal Direction calculation can be explained with given input values -> 0.0002 = (200000000-200025000*0.4)/0.6.

FAQ

What is Elastic Modulus of Fiber using Composite's Longitudinal Direction?

Elastic Modulus of Fiber using Composite's Longitudinal Direction can be defined by Hooke's Law, In the context of composite materials, where fibers are embedded within a matrix, the elastic modulus of the fiber in the longitudinal direction represents its stiffness, it quantifies the material's resistance to deformation under an applied longitudinal stress and is represented as E_f = (E_cl-E_m*V_m)/V_f or Elastic Modulus of Fiber = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Matrix*Volume Fraction of Matrix)/Volume Fraction of Fiber. Elastic Modulus Composite (Longitudinal Direction) refers to a material property when subjected to tensile or compressive forces along the longitudinal direction, Elastic Modulus of Matrix typically refers to the elastic modulus or young's modulus of the material composing the matrix phase in a composite material, Volume Fraction of Matrix is the Volume fraction of the matrix used in composite & Volume Fraction of Fiber also known as fiber volume fraction or simply fiber fraction, is a measure of the volume occupied by fibers within a composite material.

How to calculate Elastic Modulus of Fiber using Composite's Longitudinal Direction?

Elastic Modulus of Fiber using Composite's Longitudinal Direction can be defined by Hooke's Law, In the context of composite materials, where fibers are embedded within a matrix, the elastic modulus of the fiber in the longitudinal direction represents its stiffness, it quantifies the material's resistance to deformation under an applied longitudinal stress is calculated using Elastic Modulus of Fiber = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Matrix*Volume Fraction of Matrix)/Volume Fraction of Fiber. To calculate Elastic Modulus of Fiber using Composite's Longitudinal Direction, you need Elastic Modulus Composite (Longitudinal Direction) (E_cl), Elastic Modulus of Matrix (E_m), Volume Fraction of Matrix (V_m) & Volume Fraction of Fiber (V_f). With our tool, you need to enter the respective value for Elastic Modulus Composite (Longitudinal Direction), Elastic Modulus of Matrix, Volume Fraction of Matrix & Volume Fraction of Fiber and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Elastic Modulus of Fiber?

In this formula, Elastic Modulus of Fiber uses Elastic Modulus Composite (Longitudinal Direction), Elastic Modulus of Matrix, Volume Fraction of Matrix & Volume Fraction of Fiber. We can use 1 other way(s) to calculate the same, which is/are as follows -

Elastic Modulus of Fiber = (Elastic Modulus Composite (Transverse Direction)*Elastic Modulus of Matrix*Volume Fraction of Fiber)/(Elastic Modulus of Matrix-Elastic Modulus Composite (Transverse Direction)*Volume Fraction of Matrix)

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