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Young's Modulus of composite in longitudinal direction Formula

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Young's modulus of composite in longitudinal direction, the composite considered here is aligned and fiber reinforced composite. Check FAQs

E cl = E m \cdot (1 - V f) + E f \cdot V f

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

Young's Modulus of composite in longitudinal direction Example

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

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

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

19.5 = 4 \cdot (1 - 0.5) + 35 \cdot 0.5

19.5GPa = 4GPa \cdot (1 - 0.5) + 35GPa \cdot 0.5

19.5 = 4 \cdot (1 - 0.5) + 35 \cdot 0.5

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Young's Modulus of composite in longitudinal direction Solution

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

FIRST Step Consider the formula

E cl = E m \cdot (1 - V f) + E f \cdot V f

Next Step Substitute values of Variables

∴

E cl = 4GPa \cdot (1 - 0.5) + 35GPa \cdot 0.5

Next Step Convert Units

∴

E cl = 4E+9Pa \cdot (1 - 0.5) + 3.5E+10Pa \cdot 0.5

Next Step Prepare to Evaluate

∴

E cl = 4E+9 \cdot (1 - 0.5) + 3.5E+10 \cdot 0.5

Next Step Evaluate

∴

E cl = 19500000000Pa

LAST Step Convert to Output's Unit

∴

E cl = 19.5GPa

Young's Modulus of composite in longitudinal direction Formula Elements

Variables

Young's modulus of composite in longitudinal direction

Young's modulus of composite in longitudinal direction, the composite considered here is aligned and fiber reinforced composite.

Symbol: E_cl

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Young's modulus of composite in longitudinal 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

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

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

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 longitudinal direction?

Young's Modulus of composite in longitudinal direction evaluator uses 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 to evaluate the Young's modulus of composite in longitudinal direction, Young's Modulus of composite in longitudinal direction, the composite considered here is aligned, continuous fiber reinforced composite. Young's modulus of composite in longitudinal direction is denoted by E_cl symbol.

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

FAQs on Young's Modulus of composite in longitudinal direction

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

The formula of Young's Modulus of composite in longitudinal direction is expressed as 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. Here is an example- 2E-8 = 4000000000*(1-0.5)+35000000000*0.5.

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

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

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

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

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

Young's Modulus of composite in longitudinal 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 longitudinal direction can be measured.

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Young's Modulus of composite in longitudinal direction Formula

Young's Modulus of composite in longitudinal direction Example

Young's Modulus of composite in longitudinal direction Solution

Young's Modulus of composite in longitudinal direction Formula Elements

Other formulas in Ceramics and Composites category

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

FAQs on Young's Modulus of composite in longitudinal direction

Variable Name