Elastic Modulus of Matrix using Composite's Longitudinal Direction Calculator

✖Elastic Modulus Composite (Longitudinal Direction) is the elastic modulus of composite in the longitudinal direction.ⓘ Elastic Modulus Composite (Longitudinal Direction) [E_CL]			+10% -10%
✖Elastic Modulus of Fiber is Elastic modulus of the fiber.ⓘ Elastic Modulus of Fiber [E_f]			+10% -10%
✖Volume Fraction of Fiber in fiber reinforced composite.ⓘ Volume Fraction of Fiber [V_f]			+10% -10%
✖Volume fraction of matrix is the Volume fraction of the matrix used in composite.ⓘ Volume Fraction of Matrix [V_m]			+10% -10%

✖Elastic Modulus of Matrix is the ratio of matrix material's tensile stress to strain produced.ⓘ Elastic Modulus of Matrix using Composite's Longitudinal Direction [E_m]

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Formula

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Elastic Modulus of Matrix using Composite's Longitudinal Direction

Formula

`"E"_{"m"} = ("E"_{"CL"}-"E"_{"f"}*"V"_{"f"})/"V"_{"m"}`

Example

`"200MPa"=("200.0MPa"-"200MPa"*"0.6")/"0.4"`

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Elastic Modulus of Matrix using Composite's Longitudinal Direction Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Elastic Modulus of Matrix - (Measured in Pascal) - Elastic Modulus of Matrix is the ratio of matrix material's tensile stress to strain produced.
Elastic Modulus Composite (Longitudinal Direction) - (Measured in Pascal) - Elastic Modulus Composite (Longitudinal Direction) is the elastic modulus of composite in the longitudinal direction.
Elastic Modulus of Fiber - (Measured in Pascal) - Elastic Modulus of Fiber is Elastic modulus of the fiber.
Volume Fraction of Fiber - Volume Fraction of Fiber in fiber reinforced composite.
Volume Fraction of Matrix - Volume fraction of matrix is the Volume fraction of the matrix used in composite.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

E_m = 200000000

STEP 3: Convert Result to Output's Unit

200000000 Pascal -->200 Megapascal (Check conversion here)

FINAL ANSWER

200 Megapascal <-- Elastic Modulus of Matrix

(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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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< 6 Elastic Modulus Calculators

Elastic Modulus of Fiber using Composite (Transverse Direction)

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 Matrix using Composite (Transverse Direction)

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

Elastic Modulus of Composite in Transverse Direction

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

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

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 Composite in Longitudinal Direction

Go Elastic Modulus Composite (Longitudinal Direction) = Elastic Modulus of Matrix*Volume Fraction of Matrix+Elastic Modulus of Fiber*Volume Fraction of Fiber

Elastic Modulus of Matrix using Composite's Longitudinal Direction Formula

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

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 Matrix using Composite's Longitudinal Direction?

Elastic Modulus of Matrix using Composite's Longitudinal Direction calculator uses Elastic Modulus of Matrix = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Fiber*Volume Fraction of Fiber)/Volume Fraction of Matrix to calculate the Elastic Modulus of Matrix, Elastic Modulus of Matrix using Composite's Longitudinal Direction is defined as the ratio of matrix material's tensile stress to strain produced. Elastic Modulus of Matrix is denoted by E_m symbol.

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

FAQ

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

Elastic Modulus of Matrix using Composite's Longitudinal Direction is defined as the ratio of matrix material's tensile stress to strain produced and is represented as E_m = (E_CL-E_f*V_f)/V_m or Elastic Modulus of Matrix = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Fiber*Volume Fraction of Fiber)/Volume Fraction of Matrix. Elastic Modulus Composite (Longitudinal Direction) is the elastic modulus of composite in the longitudinal direction, Elastic Modulus of Fiber is Elastic modulus of the fiber, Volume Fraction of Fiber in fiber reinforced composite & Volume fraction of matrix is the Volume fraction of the matrix used in composite.

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

Elastic Modulus of Matrix using Composite's Longitudinal Direction is defined as the ratio of matrix material's tensile stress to strain produced is calculated using Elastic Modulus of Matrix = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Fiber*Volume Fraction of Fiber)/Volume Fraction of Matrix. To calculate Elastic Modulus of Matrix using Composite's Longitudinal Direction, you need Elastic Modulus Composite (Longitudinal Direction) (E_CL), Elastic Modulus of Fiber (E_f), Volume Fraction of Fiber (V_f) & Volume Fraction of Matrix (V_m). With our tool, you need to enter the respective value for Elastic Modulus Composite (Longitudinal Direction), Elastic Modulus of Fiber, Volume Fraction of Fiber & Volume Fraction of Matrix 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 Matrix?

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

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

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