Elastic Modulus of Composite in Longitudinal Direction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Elastic Modulus Composite (Longitudinal Direction) = Elastic Modulus of Matrix*Volume Fraction of Matrix+Elastic Modulus of Fiber*Volume Fraction of Fiber
ECL = Em*Vm+Ef*Vf
This formula uses 5 Variables
Variables Used
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 Matrix - (Measured in Pascal) - Elastic Modulus of Matrix is the ratio of matrix material's tensile stress to strain produced.
Volume Fraction of Matrix - Volume fraction of matrix is the Volume fraction of the matrix used in composite.
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.
STEP 1: Convert Input(s) to Base Unit
Elastic Modulus of Matrix: 200.025 Megapascal --> 200025000 Pascal (Check conversion here)
Volume Fraction of Matrix: 0.4 --> No Conversion Required
Elastic Modulus of Fiber: 200 Megapascal --> 200000000 Pascal (Check conversion here)
Volume Fraction of Fiber: 0.6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ECL = Em*Vm+Ef*Vf --> 200025000*0.4+200000000*0.6
Evaluating ... ...
ECL = 200010000
STEP 3: Convert Result to Output's Unit
200010000 Pascal -->200.01 Megapascal (Check conversion here)
FINAL ANSWER
200.01 Megapascal <-- Elastic Modulus Composite (Longitudinal Direction)
(Calculation completed in 00.020 seconds)

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University Institute of Technology RGPV (UIT - RGPV), Bhopal
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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 Composite in Longitudinal Direction Formula

Elastic Modulus Composite (Longitudinal Direction) = Elastic Modulus of Matrix*Volume Fraction of Matrix+Elastic Modulus of Fiber*Volume Fraction of Fiber
ECL = Em*Vm+Ef*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 Composite in Longitudinal Direction?

Elastic Modulus of Composite in Longitudinal Direction calculator uses Elastic Modulus Composite (Longitudinal Direction) = Elastic Modulus of Matrix*Volume Fraction of Matrix+Elastic Modulus of Fiber*Volume Fraction of Fiber to calculate the Elastic Modulus Composite (Longitudinal Direction), The Elastic Modulus of Composite in Longitudinal Direction formula is defined as the modulus of elasticity in longitudinal direction. Elastic Modulus Composite (Longitudinal Direction) is denoted by ECL symbol.

How to calculate Elastic Modulus of Composite in Longitudinal Direction using this online calculator? To use this online calculator for Elastic Modulus of Composite in Longitudinal Direction, enter Elastic Modulus of Matrix (Em), Volume Fraction of Matrix (Vm), Elastic Modulus of Fiber (Ef) & Volume Fraction of Fiber (Vf) and hit the calculate button. Here is how the Elastic Modulus of Composite in Longitudinal Direction calculation can be explained with given input values -> 0.0002 = 200025000*0.4+200000000*0.6.

FAQ

What is Elastic Modulus of Composite in Longitudinal Direction?
The Elastic Modulus of Composite in Longitudinal Direction formula is defined as the modulus of elasticity in longitudinal direction and is represented as ECL = Em*Vm+Ef*Vf or 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 is the ratio of matrix material's tensile stress to strain produced, Volume fraction of matrix is the Volume fraction of the matrix used in composite, Elastic Modulus of Fiber is Elastic modulus of the fiber & Volume Fraction of Fiber in fiber reinforced composite.
How to calculate Elastic Modulus of Composite in Longitudinal Direction?
The Elastic Modulus of Composite in Longitudinal Direction formula is defined as the modulus of elasticity in longitudinal direction is calculated using Elastic Modulus Composite (Longitudinal Direction) = Elastic Modulus of Matrix*Volume Fraction of Matrix+Elastic Modulus of Fiber*Volume Fraction of Fiber. To calculate Elastic Modulus of Composite in Longitudinal Direction, you need Elastic Modulus of Matrix (Em), Volume Fraction of Matrix (Vm), Elastic Modulus of Fiber (Ef) & Volume Fraction of Fiber (Vf). With our tool, you need to enter the respective value for Elastic Modulus of Matrix, Volume Fraction of Matrix, Elastic Modulus of Fiber & 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.
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