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Young's Modulus of composite in transverse direction Formula

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Young's modulus in transverse direction, the composite considered here is aligned and continuous fibre reinforced composite. Check FAQs

E ct = \frac{E m \cdot E f}{V f \cdot E m + (1 - V f) \cdot E f}

E_ct - Young's modulus in transverse direction?E_m - Young's modulus of matrix in composite?E_f - Young's modulus of fiber in composite?V_f - Volume Fraction of Fiber?

Young's Modulus of composite in transverse direction Example

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Here is how the Young's Modulus of composite in transverse direction equation looks like with Values.

Here is how the Young's Modulus of composite in transverse direction equation looks like with Units.

Here is how the Young's Modulus of composite in transverse direction equation looks like.

7.1795 = \frac{4 \cdot 35}{0.5 \cdot 4 + (1 - 0.5) \cdot 35}

7.1795GPa = \frac{4GPa \cdot 35GPa}{0.5 \cdot 4GPa + (1 - 0.5) \cdot 35GPa}

7.1795 = \frac{4 \cdot 35}{0.5 \cdot 4 + (1 - 0.5) \cdot 35}

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Young's Modulus of composite in transverse direction Solution

Follow our step by step solution on how to calculate Young's Modulus of composite in transverse direction?

FIRST Step Consider the formula

E ct = \frac{E m \cdot E f}{V f \cdot E m + (1 - V f) \cdot E f}

Next Step Substitute values of Variables

∴

E ct = \frac{4GPa \cdot 35GPa}{0.5 \cdot 4GPa + (1 - 0.5) \cdot 35GPa}

Next Step Convert Units

∴

E ct = \frac{4E+9Pa \cdot 3.5E+10Pa}{0.5 \cdot 4E+9Pa + (1 - 0.5) \cdot 3.5E+10Pa}

Next Step Prepare to Evaluate

∴

E ct = \frac{4E+9 \cdot 3.5E+10}{0.5 \cdot 4E+9 + (1 - 0.5) \cdot 3.5E+10}

Next Step Evaluate

∴

E ct = 7179487179.48718Pa

Next Step Convert to Output's Unit

∴

E ct = 7.17948717948718GPa

LAST Step Rounding Answer

∴

E ct = 7.1795GPa

Young's Modulus of composite in transverse direction Formula Elements

Variables

Young's modulus in transverse direction

Young's modulus in transverse direction, the composite considered here is aligned and continuous fibre reinforced composite.

Symbol: E_ct

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Young's modulus in transverse direction

Young's modulus of matrix in composite

Young's modulus of matrix in composite.

Symbol: E_m

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Young's modulus of matrix in composite

Young's modulus of fiber in composite

Young's modulus of fiber in composite (Fiber-reinforced composite).

Symbol: E_f

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Young's modulus of fiber in composite

Volume Fraction of Fiber

Volume Fraction of Fiber in fiber reinforced composite.

Symbol: V_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Volume Fraction of Fiber

Other formulas in Ceramics and Composites category

Go Critical Fiber Length

l c = σ f \cdot \frac{d}{2 \cdot τ c}

Go Young's Modulus of porous material

E = E 0 \cdot (1 - (0.019 \cdot η v) + (0.00009 \cdot η v \cdot η v))

Go Schottky Defect Concentration

N S = N \cdot \exp (- \frac{Q s}{2 \cdot R \cdot T})

Go Young's Modulus from shear modulus

E = 2 \cdot G \cdot (1 + 𝛎)

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

Young's Modulus of composite in transverse direction evaluator 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 evaluate 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 E_ct symbol.

How to evaluate Young's Modulus of composite in transverse direction using this online evaluator? To use this online evaluator for Young's Modulus of composite in transverse direction, enter Young's modulus of matrix in composite (E_m), Young's modulus of fiber in composite (E_f) & Volume Fraction of Fiber (V_f) and hit the calculate button.

FAQs on Young's Modulus of composite in transverse direction

What is the formula to find Young's Modulus of composite in transverse direction?

The formula of Young's Modulus of composite in transverse direction is expressed as 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). Here is an example- 7.2E-9 = (4000000000*35000000000)/(0.5*4000000000+(1-0.5)*35000000000).

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

With Young's modulus of matrix in composite (E_m), Young's modulus of fiber in composite (E_f) & Volume Fraction of Fiber (V_f) we can find Young's Modulus of composite in transverse direction using the 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).

Can the Young's Modulus of composite in transverse direction be negative?

No, the Young's Modulus of composite in transverse direction, measured in Pressure cannot be negative.

Which unit is used to measure Young's Modulus of composite in transverse direction?

Young's Modulus of composite in transverse direction is usually measured using the Gigapascal[GPa] for Pressure. Pascal[GPa], Kilopascal[GPa], Bar[GPa] are the few other units in which Young's Modulus of composite in transverse direction can be measured.

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Young's Modulus of composite in transverse direction Formula

Young's Modulus of composite in transverse direction Example

Young's Modulus of composite in transverse direction Solution

Young's Modulus of composite in transverse direction Formula Elements

Other formulas in Ceramics and Composites category

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

FAQs on Young's Modulus of composite in transverse direction

Variable Name