Elastic Modulus of Fiber using Composite (Transverse Direction) Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Ef = (ECT*Em*Vf)/(Em-ECT*Vm)
This formula uses 5 Variables
Variables Used
Elastic Modulus of Fiber - (Measured in Pascal) - Elastic Modulus of Fiber is Elastic modulus of the fiber.
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 Matrix - (Measured in Pascal) - Elastic Modulus of Matrix is the ratio of matrix material's tensile stress to strain produced.
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 (Transverse Direction): 200.01 Megapascal --> 200010000 Pascal (Check conversion here)
Elastic Modulus of Matrix: 200.025 Megapascal --> 200025000 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
Ef = (ECT*Em*Vf)/(Em-ECT*Vm) --> (200010000*200025000*0.6)/(200025000-200010000*0.4)
Evaluating ... ...
Ef = 200000001.249781
STEP 3: Convert Result to Output's Unit
200000001.249781 Pascal -->200.000001249781 Megapascal (Check conversion here)
FINAL ANSWER
200.000001249781 200 Megapascal <-- Elastic Modulus of Fiber
(Calculation completed in 00.004 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
Rajat Vishwakarma has created this Calculator and 400+ more calculators!
Verified by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has verified this Calculator and 400+ more calculators!

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 Fiber using Composite (Transverse Direction) Formula

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

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 (Transverse Direction)?

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

How to calculate Elastic Modulus of Fiber using Composite (Transverse Direction) using this online calculator? To use this online calculator for Elastic Modulus of Fiber using Composite (Transverse Direction), enter Elastic Modulus Composite (Transverse Direction) (ECT), Elastic Modulus of Matrix (Em), Volume Fraction of Fiber (Vf) & Volume Fraction of Matrix (Vm) and hit the calculate button. Here is how the Elastic Modulus of Fiber using Composite (Transverse Direction) calculation can be explained with given input values -> 0.0002 = (200010000*200025000*0.6)/(200025000-200010000*0.4).

FAQ

What is Elastic Modulus of Fiber using Composite (Transverse Direction)?
The Elastic Modulus of Fiber using Composite (transverse direction) formula is defined as Elastic modulus of the fiber only and is represented as Ef = (ECT*Em*Vf)/(Em-ECT*Vm) or 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 Composite (Transverse Direction) is the Elastic modulus of material in the transverse direction, Elastic Modulus of Matrix is the ratio of matrix material's tensile stress to strain produced, 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 Fiber using Composite (Transverse Direction)?
The Elastic Modulus of Fiber using Composite (transverse direction) formula is defined as Elastic modulus of the fiber only is calculated using 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). To calculate Elastic Modulus of Fiber using Composite (Transverse Direction), you need Elastic Modulus Composite (Transverse Direction) (ECT), Elastic Modulus of Matrix (Em), Volume Fraction of Fiber (Vf) & Volume Fraction of Matrix (Vm). With our tool, you need to enter the respective value for Elastic Modulus Composite (Transverse Direction), Elastic Modulus of Matrix, 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 Fiber?
In this formula, Elastic Modulus of Fiber uses Elastic Modulus Composite (Transverse Direction), Elastic Modulus of Matrix, 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 Fiber = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Matrix*Volume Fraction of Matrix)/Volume Fraction of Fiber
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!