Elastic Modulus of Matrix using Composite (Transverse Direction) Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Em = (ECT*Ef*Vm)/(Ef-ECT*Vf)
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 (Transverse Direction) - (Measured in Pascal) - Elastic Modulus Composite (Transverse Direction) is the Elastic modulus of material in the transverse direction.
Elastic Modulus of Fiber - (Measured in Pascal) - Elastic Modulus of Fiber is Elastic modulus of the fiber.
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 in fiber reinforced composite.
STEP 1: Convert Input(s) to Base Unit
Elastic Modulus Composite (Transverse Direction): 200.01 Megapascal --> 200010000 Pascal (Check conversion here)
Elastic Modulus of Fiber: 200 Megapascal --> 200000000 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
Em = (ECT*Ef*Vm)/(Ef-ECT*Vf) --> (200010000*200000000*0.4)/(200000000-200010000*0.6)
Evaluating ... ...
Em = 200025001.875141
STEP 3: Convert Result to Output's Unit
200025001.875141 Pascal -->200.025001875141 Megapascal (Check conversion here)
FINAL ANSWER
200.025001875141 200.025 Megapascal <-- Elastic Modulus of Matrix
(Calculation completed in 00.004 seconds)

Credits

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 (Transverse Direction) Formula

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)
Em = (ECT*Ef*Vm)/(Ef-ECT*Vf)

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 (Transverse Direction)?

Elastic Modulus of Matrix using Composite (Transverse Direction) calculator uses 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) to calculate the Elastic Modulus of Matrix, The Elastic Modulus of Matrix using Composite (transverse direction) formula is defined as the Elastic modulus of the matrix only. Elastic Modulus of Matrix is denoted by Em symbol.

How to calculate Elastic Modulus of Matrix using Composite (Transverse Direction) using this online calculator? To use this online calculator for Elastic Modulus of Matrix using Composite (Transverse Direction), enter Elastic Modulus Composite (Transverse Direction) (ECT), Elastic Modulus of Fiber (Ef), Volume Fraction of Matrix (Vm) & Volume Fraction of Fiber (Vf) and hit the calculate button. Here is how the Elastic Modulus of Matrix using Composite (Transverse Direction) calculation can be explained with given input values -> 0.0002 = (200010000*200000000*0.4)/(200000000-200010000*0.6).

FAQ

What is Elastic Modulus of Matrix using Composite (Transverse Direction)?
The Elastic Modulus of Matrix using Composite (transverse direction) formula is defined as the Elastic modulus of the matrix only and is represented as Em = (ECT*Ef*Vm)/(Ef-ECT*Vf) or 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 Composite (Transverse Direction) is the Elastic modulus of material in the transverse direction, Elastic Modulus of Fiber is Elastic modulus of the fiber, Volume fraction of matrix is the Volume fraction of the matrix used in composite & Volume Fraction of Fiber in fiber reinforced composite.
How to calculate Elastic Modulus of Matrix using Composite (Transverse Direction)?
The Elastic Modulus of Matrix using Composite (transverse direction) formula is defined as the Elastic modulus of the matrix only is calculated using 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). To calculate Elastic Modulus of Matrix using Composite (Transverse Direction), you need Elastic Modulus Composite (Transverse Direction) (ECT), Elastic Modulus of Fiber (Ef), Volume Fraction of Matrix (Vm) & Volume Fraction of Fiber (Vf). With our tool, you need to enter the respective value for Elastic Modulus Composite (Transverse Direction), Elastic Modulus of Fiber, 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 Matrix?
In this formula, Elastic Modulus of Matrix uses Elastic Modulus Composite (Transverse Direction), Elastic Modulus of Fiber, 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 Matrix = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Fiber*Volume Fraction of Fiber)/Volume Fraction of Matrix
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