Young's Modulus of composite in transverse direction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Young's modulus in transverse direction = (Young's modulus of matrix in composite*Young's modulus of fiber in composite)/(Volume Fraction of Fiber*Young's modulus of matrix in composite+(1-Volume Fraction of Fiber)*Young's modulus of fiber in composite)
Ect = (Em*Ef)/(Vf*Em+(1-Vf)*Ef)
This formula uses 4 Variables
Variables Used
Young's modulus in transverse direction - (Measured in Pascal) - Young's modulus in transverse direction, the composite considered here is aligned and continuous fibre reinforced composite.
Young's modulus of matrix in composite - (Measured in Pascal) - Young's modulus of matrix in composite.
Young's modulus of fiber in composite - (Measured in Pascal) - Young's modulus of fiber in composite (Fiber-reinforced composite).
Volume Fraction of Fiber - Volume Fraction of Fiber in fiber reinforced composite.
STEP 1: Convert Input(s) to Base Unit
Young's modulus of matrix in composite: 4 Gigapascal --> 4000000000 Pascal (Check conversion here)
Young's modulus of fiber in composite: 35 Gigapascal --> 35000000000 Pascal (Check conversion here)
Volume Fraction of Fiber: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ect = (Em*Ef)/(Vf*Em+(1-Vf)*Ef) --> (4000000000*35000000000)/(0.5*4000000000+(1-0.5)*35000000000)
Evaluating ... ...
Ect = 7179487179.48718
STEP 3: Convert Result to Output's Unit
7179487179.48718 Pascal -->7.17948717948718 Gigapascal (Check conversion here)
FINAL ANSWER
7.17948717948718 7.179487 Gigapascal <-- Young's modulus in transverse direction
(Calculation completed in 00.004 seconds)

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Indian Institute of Technology (IIT), Chennai
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Young's Modulus of composite in transverse direction
Go Young's modulus in transverse direction = (Young's modulus of matrix in composite*Young's modulus of fiber in composite)/(Volume Fraction of Fiber*Young's modulus of matrix in composite+(1-Volume Fraction of Fiber)*Young's modulus of fiber in composite)
Longitudinal strength of discontinuous fiber-reinforced composite
Go Longitudinal strength of composite(discontinous fiber) = Tensile Strength of Fiber*Volume Fraction of Fiber*(1-(Critical Fiber Length/(2*Fiber length)))+Stress in Matrix*(1-Volume Fraction of Fiber)
Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length)
Go Longitudinal strength of composite(discontinous fiber less than lc) = (Volume Fraction of Fiber*Fiber length*Critical Shear Stress/Fiber Diameter)+Stress in Matrix*(1-Volume Fraction of Fiber)
Young's Modulus of composite in longitudinal direction
Go Young's modulus of composite in longitudinal direction = Young's modulus of matrix in composite*(1-Volume Fraction of Fiber)+Young's modulus of fiber in composite*Volume Fraction of Fiber
Young's Modulus of porous material
Go Young's modulus of porous material = Young's modulus of non-porous material*(1-(0.019*Volume Percent of Porosity)+(0.00009*Volume Percent of Porosity*Volume Percent of Porosity))
Schottky Defect Concentration
Go Number of Schottky Defects = Number of atomic sites*exp(-Activation energy for Schottky formation/(2*Universal Gas Constant*Temperature))
Longitudinal Strength of Composite
Go Longitudinal Strength of Composite = Stress in Matrix*(1-Volume Fraction of Fiber)+Tensile Strength of Fiber*Volume Fraction of Fiber
Percent ionic character
Go Percent Ionic Character = 100*(1-exp(-0.25*(Electronegativity of element A-Electronegativity of element B)^2))
Critical Fiber Length
Go Critical Fiber Length = Tensile Strength of Fiber*Fiber Diameter/(2*Critical Shear Stress)
Young's Modulus from shear modulus
Go Young's Modulus = 2*Shear Modulus*(1+Poisson's Ratio)

Young's Modulus of composite in transverse direction Formula

Young's modulus in transverse direction = (Young's modulus of matrix in composite*Young's modulus of fiber in composite)/(Volume Fraction of Fiber*Young's modulus of matrix in composite+(1-Volume Fraction of Fiber)*Young's modulus of fiber in composite)
Ect = (Em*Ef)/(Vf*Em+(1-Vf)*Ef)

Assumptions used

The load is applied at a 90 degree angle to the direction of fiber alignment.Thus, the stress to which the composite as well as both phases are exposed is the same (isostress state).

How to Calculate Young's Modulus of composite in transverse direction?

Young's Modulus of composite in transverse direction calculator uses Young's modulus in transverse direction = (Young's modulus of matrix in composite*Young's modulus of fiber in composite)/(Volume Fraction of Fiber*Young's modulus of matrix in composite+(1-Volume Fraction of Fiber)*Young's modulus of fiber in composite) to calculate the Young's modulus in transverse direction, Young's Modulus of composite in transverse direction, the composite considered here is aligned, continuous fiber reinforced composite. Young's modulus in transverse direction is denoted by Ect symbol.

How to calculate Young's Modulus of composite in transverse direction using this online calculator? To use this online calculator for Young's Modulus of composite in transverse direction, enter Young's modulus of matrix in composite (Em), Young's modulus of fiber in composite (Ef) & Volume Fraction of Fiber (Vf) and hit the calculate button. Here is how the Young's Modulus of composite in transverse direction calculation can be explained with given input values -> 7.2E-9 = (4000000000*35000000000)/(0.5*4000000000+(1-0.5)*35000000000).

FAQ

What is Young's Modulus of composite in transverse direction?
Young's Modulus of composite in transverse direction, the composite considered here is aligned, continuous fiber reinforced composite and is represented as Ect = (Em*Ef)/(Vf*Em+(1-Vf)*Ef) or Young's modulus in transverse direction = (Young's modulus of matrix in composite*Young's modulus of fiber in composite)/(Volume Fraction of Fiber*Young's modulus of matrix in composite+(1-Volume Fraction of Fiber)*Young's modulus of fiber in composite). Young's modulus of matrix in composite, Young's modulus of fiber in composite (Fiber-reinforced composite) & Volume Fraction of Fiber in fiber reinforced composite.
How to calculate Young's Modulus of composite in transverse direction?
Young's Modulus of composite in transverse direction, the composite considered here is aligned, continuous fiber reinforced composite is calculated using Young's modulus in transverse direction = (Young's modulus of matrix in composite*Young's modulus of fiber in composite)/(Volume Fraction of Fiber*Young's modulus of matrix in composite+(1-Volume Fraction of Fiber)*Young's modulus of fiber in composite). To calculate Young's Modulus of composite in transverse direction, you need Young's modulus of matrix in composite (Em), Young's modulus of fiber in composite (Ef) & Volume Fraction of Fiber (Vf). With our tool, you need to enter the respective value for Young's modulus of matrix in composite, Young's modulus of fiber in composite & 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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