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Elastic Modulus of Composite in Transverse Direction Formula

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Elastic Modulus Composite (Transverse Direction) refers to a direction perpendicular to the main orientation of the material's fibers or reinforcements. Check FAQs

E ct = \frac{E m \cdot E f}{V m \cdot E f + V f \cdot E m}

E_ct - Elastic Modulus Composite (Transverse Direction)?E_m - Elastic Modulus of Matrix?E_f - Elastic Modulus of Fiber?V_m - Volume Fraction of Matrix?V_f - Volume Fraction of Fiber?

Elastic Modulus of Composite in Transverse Direction Example

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Here is how the Elastic Modulus of Composite in Transverse Direction equation looks like with Values.

Here is how the Elastic Modulus of Composite in Transverse Direction equation looks like with Units.

Here is how the Elastic Modulus of Composite in Transverse Direction equation looks like.

200.01 = \frac{200.025 \cdot 200}{0.4 \cdot 200 + 0.6 \cdot 200.025}

200.01MPa = \frac{200.025MPa \cdot 200MPa}{0.4 \cdot 200MPa + 0.6 \cdot 200.025MPa}

200.01 = \frac{200.025 \cdot 200}{0.4 \cdot 200 + 0.6 \cdot 200.025}

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Elastic Modulus of Composite in Transverse Direction Solution

Follow our step by step solution on how to calculate Elastic Modulus of Composite in Transverse Direction?

FIRST Step Consider the formula

E ct = \frac{E m \cdot E f}{V m \cdot E f + V f \cdot E m}

Next Step Substitute values of Variables

∴

E ct = \frac{200.025MPa \cdot 200MPa}{0.4 \cdot 200MPa + 0.6 \cdot 200.025MPa}

Next Step Convert Units

∴

E ct = \frac{2E+8Pa \cdot 2E+8Pa}{0.4 \cdot 2E+8Pa + 0.6 \cdot 2E+8Pa}

Next Step Prepare to Evaluate

∴

E ct = \frac{2E+8 \cdot 2E+8}{0.4 \cdot 2E+8 + 0.6 \cdot 2E+8}

Next Step Evaluate

∴

E ct = 200009999.250056Pa

Next Step Convert to Output's Unit

∴

E ct = 200.009999250056MPa

LAST Step Rounding Answer

∴

E ct = 200.01MPa

Elastic Modulus of Composite in Transverse Direction Formula Elements

Variables

Elastic Modulus Composite (Transverse Direction)

Elastic Modulus Composite (Transverse Direction) refers to a direction perpendicular to the main orientation of the material's fibers or reinforcements.

Symbol: E_ct

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Elastic Modulus Composite (Transverse Direction)

Elastic Modulus of Matrix

Elastic Modulus of Matrix typically refers to the elastic modulus or young's modulus of the material composing the matrix phase in a composite material.

Symbol: E_m

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Elastic Modulus of Matrix

Elastic Modulus of Fiber

Elastic Modulus of Fiber, also known as young's modulus, refers to the stiffness of the material, it represents the ratio of stress to strain within the elastic limit of the material.

Symbol: E_f

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Elastic Modulus of Fiber

Volume Fraction of Matrix

Volume Fraction of Matrix is the Volume fraction of the matrix used in composite.

Symbol: V_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Volume Fraction of Matrix

Volume Fraction of Fiber

Volume Fraction of Fiber also known as fiber volume fraction or simply fiber fraction, is a measure of the volume occupied by fibers within a composite material.

Symbol: V_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Volume Fraction of Fiber

Other formulas in Elastic Modulus category

Go Elastic Modulus of Matrix using Composite's Longitudinal Direction

E m = \frac{E cl - E f \cdot V f}{V m}

Go Elastic Modulus of Fiber using Composite's Longitudinal Direction

E f = \frac{E cl - E m \cdot V m}{V f}

Go Elastic Modulus of Fiber using Composite (Transverse Direction)

E f = \frac{E ct \cdot E m \cdot V f}{E m - E ct \cdot V m}

Go Elastic Modulus of Composite in Longitudinal Direction

E cl = E m \cdot V m + E f \cdot V f

How to Evaluate Elastic Modulus of Composite in Transverse Direction?

Elastic Modulus of Composite in Transverse Direction evaluator uses 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) to evaluate the Elastic Modulus Composite (Transverse Direction), The Elastic Modulus of Composite in Transverse Direction formula is defined as the modulus of the composite as obtained only in the transverse direction as it is directional in nature. Elastic Modulus Composite (Transverse Direction) is denoted by E_ct symbol.

How to evaluate Elastic Modulus of Composite in Transverse Direction using this online evaluator? To use this online evaluator for Elastic Modulus of Composite in Transverse Direction, enter Elastic Modulus of Matrix (E_m), Elastic Modulus of Fiber (E_f), Volume Fraction of Matrix (V_m) & Volume Fraction of Fiber (V_f) and hit the calculate button.

FAQs on Elastic Modulus of Composite in Transverse Direction

What is the formula to find Elastic Modulus of Composite in Transverse Direction?

The formula of Elastic Modulus of Composite in Transverse Direction is expressed as 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). Here is an example- 0.0002 = (200025000*200000000)/(0.4*200000000+0.6*200025000).

How to calculate Elastic Modulus of Composite in Transverse Direction?

With Elastic Modulus of Matrix (E_m), Elastic Modulus of Fiber (E_f), Volume Fraction of Matrix (V_m) & Volume Fraction of Fiber (V_f) we can find Elastic Modulus of Composite in Transverse Direction using the formula - 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).

Can the Elastic Modulus of Composite in Transverse Direction be negative?

Yes, the Elastic Modulus of Composite in Transverse Direction, measured in Pressure can be negative.

Which unit is used to measure Elastic Modulus of Composite in Transverse Direction?

Elastic Modulus of Composite in Transverse Direction is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Elastic Modulus of Composite in Transverse Direction can be measured.

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Elastic Modulus of Composite in Transverse Direction Formula

Elastic Modulus of Composite in Transverse Direction Example

Elastic Modulus of Composite in Transverse Direction Solution

Elastic Modulus of Composite in Transverse Direction Formula Elements

Other formulas in Elastic Modulus category

How to Evaluate Elastic Modulus of Composite in Transverse Direction?

FAQs on Elastic Modulus of Composite in Transverse Direction

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